Finite Group Databasebeta

← C73×#61610 #32971014

Subgroups — C73×#61610 #32971014

Order 18688.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3541C211yesmaximal, characteristic, complemented
2C73×#3484C211yesmaximal, characteristic, complemented
3C73×#3324C211yesmaximal, characteristic, complemented
4C73×#3323C211yesmaximal, characteristic, complemented
5C73×#3318C211yesmaximal, characteristic, complemented
6C73×#3314C211yesmaximal, characteristic, complemented
7C73×#3311C211yesmaximal, characteristic, complemented
8C73×#3310C211yesmaximal, characteristic, complemented
9C73×#3297C211yesmaximal, characteristic, complemented
10C73×#3295C211yesmaximal, characteristic, complemented
11C73×#3282C211yesmaximal, characteristic, complemented
12D4×SD16×C73C211yesmaximal, characteristic, complemented
13C73×#3275C211yesmaximal, characteristic, complemented
14C73×#3272C211yesmaximal, characteristic, complemented
15C73×#3267C211yesmaximal, characteristic, complemented
16C73×#3266C211yesmaximal, characteristic, complemented
17C73×#3265C211yesmaximal, characteristic, complemented
18C73×#3265C211yesmaximal, characteristic, complemented
19C73×#3224C211yesmaximal, characteristic, complemented
20C73×#3222C211yesmaximal, characteristic, complemented
21C73×#3200C211yesmaximal, characteristic, complemented
22C73×#3198C211yesmaximal, characteristic, complemented
23C73×#3196C211yesmaximal, characteristic, complemented
24C73×#3191C211yesmaximal, characteristic, complemented
25C73×#3123C211yesmaximal, characteristic, complemented
26C73×#3118C211yesmaximal, characteristic, complemented
27C73×#3012C211yesmaximal, characteristic, complemented
28C73×#3009C211yesmaximal, characteristic, complemented
29C73×#3003C211yesmaximal, characteristic, complemented
30C2×#450×C73C211yesmaximal, characteristic, complemented
31C73×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C73C2211yescharacteristic
33C23×D4×C73C2211yescharacteristic
34C2×#137×C73C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
36C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
38C2×#135×C73C2211yescharacteristic, complemented
39C22×SD16×C73C2211yescharacteristic, complemented
40C22×SD16×C73C2211yescharacteristic, complemented
41C22×SD16×C73C2211yescharacteristic, complemented
42#563×C73—21no—
43#562×C73—21no—
44#556×C73C2211yescharacteristic, complemented
45#554×C73—21no—
46#554×C73C2211yescharacteristic, complemented
47#553×C73—21no—
48#553×C73C2211yescharacteristic, complemented
49#552×C73C2211yescharacteristic, complemented
50D4×Q8×C73C2211yescharacteristic, complemented
51#548×C73C2211yescharacteristic, complemented
52#548×C73C2211yescharacteristic, complemented
53#547×C73C2211yescharacteristic, complemented
54#546×C73—21no—
55#546×C73—21no—
56#546×C73C2211yescharacteristic
57#546×C73C2211yescharacteristic
58#546×C73C2211yescharacteristic
59#546×C73C2211yescharacteristic
60D42×C73—21no—
61D42×C73—21no—
62D42×C73C2211yescharacteristic
63D42×C73C2211yescharacteristic
64D42×C73C2211yescharacteristic
65D42×C73C2211yescharacteristic
66#542×C73—21no—
67#542×C73C2211yescharacteristic, complemented
68#541×C73C2211yescharacteristic, complemented
69#539×C73—21no—
70#538×C73—21no—
71#538×C73—21no—
72#537×C73C2211yescharacteristic, complemented
73#536×C73C2211yescharacteristic, complemented
74#535×C73C2211yescharacteristic
75#535×C73C2211yescharacteristic
76#534×C73—21no—
77#534×C73—21no—
78#525×C73C2211yescharacteristic
79#525×C73C2211yescharacteristic
80#525×C73C2211yescharacteristic, complemented
81C2×C22⋊Q8×C73C2211yescharacteristic, complemented
82C2×#120×C73—21no—
83C2×#120×C73—21no—
84#518×C73C2211yescharacteristic
85#497×C73C2211yescharacteristic, complemented
86#496×C73C2211yescharacteristic, complemented
87#495×C73C2211yescharacteristic, complemented
88#492×C73C2211yescharacteristic, complemented
89#490×C73C2211yescharacteristic, complemented
90#489×C73C2211yescharacteristic, complemented
91#488×C73C2211yescharacteristic, complemented
92#486×C73C2211yescharacteristic, complemented
93#485×C73C2211yescharacteristic, complemented
94#485×C73C2211yescharacteristic, complemented
95#485×C73C2211yescharacteristic, complemented
96#485×C73C2211yescharacteristic, complemented
97#484×C73C2211yescharacteristic, complemented
98#482×C73C2211yescharacteristic, complemented
99#482×C73C2211yescharacteristic, complemented
100#482×C73C2211yescharacteristic, complemented
101#482×C73C2211yescharacteristic, complemented
102#481×C73C2211yescharacteristic, complemented
103#481×C73C2211yescharacteristic, complemented
104#480×C73C2211yescharacteristic, complemented
105#478×C73C2211yescharacteristic, complemented
106#478×C73C2211yescharacteristic, complemented
107#476×C73C2211yescharacteristic, complemented
108#474×C73C2211yescharacteristic, complemented
109#470×C73C2211yescharacteristic, complemented
110#470×C73C2211yescharacteristic, complemented
111#469×C73C2211yescharacteristic, complemented
112#468×C73C2211yescharacteristic, complemented
113#468×C73C2211yescharacteristic, complemented
114#468×C73C2211yescharacteristic, complemented
115#468×C73C2211yescharacteristic, complemented
116#468×C73C2211yescharacteristic, complemented
117#467×C73C2211yescharacteristic, complemented
118#466×C73C2211yescharacteristic, complemented
119#466×C73C2211yescharacteristic, complemented
120#465×C73C2211yescharacteristic, complemented
121#465×C73C2211yescharacteristic, complemented
122#465×C73C2211yescharacteristic, complemented
123#465×C73C2211yescharacteristic, complemented
124#465×C73C2211yescharacteristic, complemented
125#464×C73C2211yescharacteristic, complemented
126#464×C73C2211yescharacteristic, complemented
127#464×C73C2211yescharacteristic, complemented
128#463×C73C2211yescharacteristic, complemented
129#463×C73C2211yescharacteristic, complemented
130#463×C73C2211yescharacteristic, complemented
131#461×C73C2211yescharacteristic, complemented
132#461×C73C2211yescharacteristic, complemented
133#460×C73C2211yescharacteristic, complemented
134#460×C73C2211yescharacteristic, complemented
135#460×C73C2211yescharacteristic, complemented
136#459×C73C2211yescharacteristic, complemented
137#452×C73C2211yescharacteristic, complemented
138#452×C73C2211yescharacteristic, complemented
139#452×C73C2211yescharacteristic, complemented
140#452×C73C2211yescharacteristic, complemented
141#452×C73C2211yescharacteristic, complemented
142#452×C73C2211yescharacteristic, complemented
143#452×C73C2211yescharacteristic, complemented
144#451×C73C2211yescharacteristic, complemented
145#450×C73C2211yescharacteristic
146#450×C73C2211yescharacteristic
147#450×C73C2211yescharacteristic
148#450×C73C2211yescharacteristic, complemented
149#450×C73C2211yescharacteristic, complemented
150#450×C73C2211yescharacteristic, complemented
151#450×C73C2211yescharacteristic, complemented
152#450×C73C2211yescharacteristic, complemented
153#450×C73C2211yescharacteristic, complemented
154#450×C73C2211yescharacteristic, complemented
155#450×C73C2211yescharacteristic, complemented
156#450×C73C2211yescharacteristic, complemented
157#450×C73C2211yescharacteristic, complemented
158#450×C73C2211yescharacteristic, complemented
159#450×C73C2211yescharacteristic, complemented
160#449×C73C2211yescharacteristic, complemented
161#449×C73C2211yescharacteristic, complemented
162#449×C73C2211yescharacteristic, complemented
163#449×C73C2211yescharacteristic, complemented
164#449×C73C2211yescharacteristic, complemented
165#448×C73C2211yescharacteristic, complemented
166#448×C73C2211yescharacteristic, complemented
167#448×C73C2211yescharacteristic, complemented
168#447×C73C2211yescharacteristic
169#447×C73C2211yescharacteristic, complemented
170#447×C73C2211yescharacteristic, complemented
171#447×C73C2211yescharacteristic, complemented
172#447×C73C2211yescharacteristic, complemented
173#442×C73C2211yescharacteristic, complemented
174#440×C73C2211yescharacteristic, complemented
175#440×C73C2211yescharacteristic, complemented
176#440×C73C2211yescharacteristic, complemented
177C4×SD16×C73C2211yescharacteristic, complemented
178C4×SD16×C73C2211yescharacteristic, complemented
179C4×SD16×C73C2211yescharacteristic, complemented
180C4×D8×C73C2211yescharacteristic, complemented
181#436×C73C2211yescharacteristic, complemented
182#436×C73C2211yescharacteristic, complemented
183#435×C73C2211yescharacteristic, complemented
184#435×C73C2211yescharacteristic, complemented
185#435×C73C2211yescharacteristic, complemented
186#435×C73C2211yescharacteristic, complemented
187C8×D4×C73C2211yescharacteristic, complemented
188C8×D4×C73C2211yescharacteristic, complemented
189#433×C73C2211yescharacteristic, complemented
190#433×C73C2211yescharacteristic, complemented
191#418×C73C2211yescharacteristic, complemented
192#418×C73C2211yescharacteristic, complemented
193#418×C73C2211yescharacteristic, complemented
194#417×C73C2211yescharacteristic, complemented
195#416×C73C2211yescharacteristic, complemented
196C2×#102×C73C2211yescharacteristic, complemented
197C2×#102×C73C2211yescharacteristic, complemented
198C2×#102×C73C2211yescharacteristic, complemented
199#408×C73C2211yescharacteristic, complemented
200#408×C73C2211yescharacteristic, complemented
201#407×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203C25×C73—21no—
204H(5,𝔽2)×C73—42no—
205H(5,𝔽2)×C73—42no—
206C2×#41×C73—21no—
207C2×#41×C73C2311yescharacteristic
208C2×#41×C73C2311yescharacteristic
209C2×#41×C73C2311yescharacteristic
210C2×#41×C73C2311yescharacteristic
211C2×#41×C73C2311yescharacteristic
212C2×#41×C73C2311yescharacteristic, complemented
213C22×Q8×C73C2311yescharacteristic
214C22×Q8×C73C2311yescharacteristic, complemented
215C22×D4×C73—21no—
216C22×D4×C73—21no—
217C22×D4×C73—21no—
218C22×D4×C73—21no—
219C22×D4×C73—21no—
220C22×D4×C73—21no—
221C22×D4×C73—21no—
222C22×D4×C73—21no—
223C22×D4×C73—21no—
224C22×D4×C73—21no—
225C22×D4×C73—42no—
226C22×D4×C73—42no—
227C22×D4×C73C2311yescharacteristic
228C22×D4×C73C2311yescharacteristic
229C22×D4×C73C2311yescharacteristic
230C22×D4×C73C2311yescharacteristic
231C22×D4×C73C2311yescharacteristic
232C22×D4×C73C2311yescharacteristic
233C22×D4×C73C2311yescharacteristic
234C22×D4×C73C2311yescharacteristic
235C23×C4×C73C2311yescharacteristic
236#137×C73—42no—
237AGL(1,ℤ/8)×C73—42no—
238AGL(1,ℤ/8)×C73—42no—
239AGL(1,ℤ/8)×C73—42no—
240#135×C73—42no—
241C2×Q16×C73C2311yescharacteristic, complemented
242C2×Q16×C73C2311yescharacteristic, complemented
243C2×Q16×C73C2311yescharacteristic, complemented
244C2×SD16×C73—42no—
245C2×SD16×C73—42no—
246C2×SD16×C73—42no—
247C2×SD16×C73C2311yescharacteristic
248C2×SD16×C73C2311yescharacteristic
249C2×SD16×C73C2311yescharacteristic
250C2×SD16×C73C2311yescharacteristic
251C2×SD16×C73C2311yescharacteristic
252C2×SD16×C73C2311yescharacteristic
253C2×SD16×C73C2311yescharacteristic
254C2×SD16×C73C2311yescharacteristic
255C2×SD16×C73C2311yescharacteristic
256C2×SD16×C73C2311yescharacteristic
257C2×SD16×C73C2311yescharacteristic
258C2×SD16×C73C2311yescharacteristic
259C2×SD16×C73C2311yescharacteristic, complemented
260C2×SD16×C73C2311yescharacteristic, complemented
261C2×SD16×C73C2311yescharacteristic, complemented
262C2×SD16×C73C2311yescharacteristic, complemented
263C2×D8×C73C2311yescharacteristic
264C2×D8×C73C2311yescharacteristic
265C2×D8×C73C2311yescharacteristic
266C2×D8×C73C2311yescharacteristic
267C2×D8×C73C2311yescharacteristic, complemented
268C2×M16×C73C2311yescharacteristic
269C2×M16×C73C2311yescharacteristic
270C2×M16×C73C2311yescharacteristic, complemented
271C2×M16×C73C2311yescharacteristic, complemented
272C22×C8×C73C2311yescharacteristic
273C22×C8×C73C2311yescharacteristic
274C22×C8×C73C2311yescharacteristic, complemented
275C22×C8×C73C2311yescharacteristic, complemented
276C4⋊Q8×C73—21no—
277C4⋊Q8×C73—21no—
278C4⋊Q8×C73C2311yescharacteristic, complemented
279C4⋊Q8×C73C2311yescharacteristic, complemented
280#127×C73—21no—
281#127×C73C2311yescharacteristic
282#127×C73C2311yescharacteristic
283#126×C73—21no—
284#126×C73—21no—
285#126×C73—21no—
286#126×C73—21no—
287#126×C73—21no—
288#126×C73—21no—
289#126×C73—21no—
290#125×C73—21no—
291#125×C73—21no—
292#125×C73—21no—
293#125×C73—21no—
294#125×C73C2311yescharacteristic, complemented
295#124×C73—21no—
296#124×C73—21no—
297#124×C73—21no—
298#124×C73—21no—
299#124×C73—21no—
300#124×C73—21no—
301#124×C73C2311yescharacteristic
302#124×C73C2311yescharacteristic
303#124×C73C2311yescharacteristic, complemented
304#123×C73—21no—
305#123×C73—21no—
306#123×C73—21no—
307#123×C73—21no—
308#123×C73—21no—
309#123×C73—21no—
310#123×C73—21no—
311#123×C73—21no—
312#123×C73—21no—
313#123×C73—21no—
314#123×C73—21no—
315#123×C73—21no—
316#123×C73—21no—
317#123×C73D411yescharacteristic
318#123×C73D411yescharacteristic
319C22⋊Q8×C73—21no—
320C22⋊Q8×C73—21no—
321C22⋊Q8×C73—21no—
322C22⋊Q8×C73—21no—
323C22⋊Q8×C73—21no—
324C22⋊Q8×C73—21no—
325C22⋊Q8×C73—21no—
326C22⋊Q8×C73—21no—
327C22⋊Q8×C73—21no—
328C22⋊Q8×C73—21no—
329C22⋊Q8×C73D411yescharacteristic
330C22⋊Q8×C73D411yescharacteristic
331C22⋊Q8×C73C2311yescharacteristic
332C22⋊Q8×C73C2311yescharacteristic
333C22⋊Q8×C73C2311yescharacteristic
334C22⋊Q8×C73C2311yescharacteristic
335C22⋊Q8×C73C2311yescharacteristic
336C22⋊Q8×C73C2311yescharacteristic
337C22⋊Q8×C73C2311yescharacteristic
338C22⋊Q8×C73C2311yescharacteristic
339C22⋊Q8×C73C2311yescharacteristic, complemented
340C22⋊Q8×C73C2311yescharacteristic, complemented
341C22⋊Q8×C73C2311yescharacteristic, complemented
342#121×C73—21no—
343#121×C73—21no—
344#121×C73—21no—
345#121×C73—21no—
346#121×C73—21no—
347#121×C73—21no—
348#121×C73—21no—
349#121×C73—21no—
350#121×C73—21no—
351#121×C73—21no—
352#121×C73—21no—
353#121×C73—21no—
354#121×C73—21no—
355#121×C73—21no—
356#121×C73—21no—
357#121×C73—21no—
358#121×C73—21no—
359#121×C73D411yescharacteristic
360#121×C73D411yescharacteristic
361#121×C73C2311yescharacteristic
362#121×C73C2311yescharacteristic
363#121×C73C2311yescharacteristic
364#121×C73C2311yescharacteristic
365#121×C73C2311yescharacteristic
366#121×C73C2311yescharacteristic
367#121×C73C2311yescharacteristic
368#121×C73C2311yescharacteristic
369#121×C73C2311yescharacteristic, complemented
370#120×C73—21no—
371#120×C73—21no—
372#120×C73—21no—
373#120×C73—21no—
374#120×C73—21no—
375#120×C73—21no—
376#120×C73—21no—
377#120×C73—21no—
378#120×C73—21no—
379#120×C73—21no—
380#120×C73—21no—
381#120×C73—21no—
382#120×C73—21no—
383#120×C73—21no—
384#120×C73—21no—
385#120×C73—21no—
386#120×C73—21no—
387#120×C73—21no—
388#120×C73D411yescharacteristic
389#120×C73D411yescharacteristic
390C4×Q8×C73—21no—
391C4×Q8×C73C2311yescharacteristic, complemented
392C4×Q8×C73C2311yescharacteristic, complemented
393C4×Q8×C73C2311yescharacteristic, complemented
394C4×D4×C73—21no—
395C4×D4×C73—21no—
396C4×D4×C73—21no—
397C4×D4×C73—21no—
398C4×D4×C73—21no—
399C4×D4×C73—21no—
400C4×D4×C73—21no—
401C4×D4×C73—21no—
402C4×D4×C73—21no—
403C4×D4×C73—21no—
404C4×D4×C73—21no—
405C4×D4×C73C2311yescharacteristic
406C4×D4×C73C2311yescharacteristic
407C4×D4×C73C2311yescharacteristic
408C4×D4×C73C2311yescharacteristic
409C4×D4×C73C2311yescharacteristic
410C4×D4×C73C2311yescharacteristic
411C4×D4×C73C2311yescharacteristic
412C4×D4×C73C2311yescharacteristic
413C4×D4×C73C2311yescharacteristic, complemented
414#117×C73—21no—
415#117×C73C2311yescharacteristic
416#117×C73C2311yescharacteristic
417#117×C73C2311yescharacteristic
418#117×C73C2311yescharacteristic, complemented
419C2×C4⋊C4×C73—21no—
420C2×C4⋊C4×C73—21no—
421C2×C4⋊C4×C73C2311yescharacteristic
422C2×C4⋊C4×C73C2311yescharacteristic, complemented
423C2×C22⋊C4×C73—21no—
424C2×C22⋊C4×C73—21no—
425C2×C22⋊C4×C73—21no—
426C2×C22⋊C4×C73—21no—
427C2×C22⋊C4×C73—21no—
428C2×C22⋊C4×C73—21no—
429C2×C22⋊C4×C73—21no—
430#107×C73C2311yescharacteristic, complemented
431#107×C73C2311yescharacteristic, complemented
432#107×C73C2311yescharacteristic, complemented
433#107×C73C2311yescharacteristic, complemented
434#106×C73C2311yescharacteristic, complemented
435#106×C73C2311yescharacteristic, complemented
436#106×C73C2311yescharacteristic, complemented
437#106×C73C2311yescharacteristic, complemented
438C4⋊C8×C73C2311yescharacteristic, complemented
439C4⋊C8×C73C2311yescharacteristic, complemented
440C4⋊C8×C73C2311yescharacteristic, complemented
441C4⋊C8×C73C2311yescharacteristic, complemented
442#103×C73C2311yescharacteristic, complemented
443#103×C73C2311yescharacteristic, complemented
444#103×C73C2311yescharacteristic, complemented
445#103×C73C2311yescharacteristic, complemented
446#103×C73C2311yescharacteristic, complemented
447#103×C73C2311yescharacteristic, complemented
448#103×C73C2311yescharacteristic, complemented
449#103×C73C2311yescharacteristic, complemented
450#103×C73C2311yescharacteristic, complemented
451#103×C73C2311yescharacteristic, complemented
452#102×C73C2311yescharacteristic
453#102×C73C2311yescharacteristic
454#102×C73C2311yescharacteristic
455#102×C73C2311yescharacteristic
456#102×C73C2311yescharacteristic
457#102×C73C2311yescharacteristic
458#102×C73C2311yescharacteristic
459#102×C73C2311yescharacteristic
460#102×C73C2311yescharacteristic
461#102×C73C2311yescharacteristic
462#102×C73C2311yescharacteristic
463#102×C73C2311yescharacteristic
464#102×C73C2311yescharacteristic
465#102×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic, complemented
469#102×C73C2311yescharacteristic, complemented
470#102×C73C2311yescharacteristic, complemented
471#102×C73C2311yescharacteristic, complemented
472#102×C73C2311yescharacteristic, complemented
473#102×C73C2311yescharacteristic, complemented
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic, complemented
483C22⋊C8×C73C2311yescharacteristic, complemented
484C22⋊C8×C73C2311yescharacteristic, complemented
485C22⋊C8×C73C2311yescharacteristic, complemented
486#97×C73C2311yescharacteristic, complemented
487#97×C73C2311yescharacteristic, complemented
488C4×C8×C73C2311yescharacteristic, complemented
489C4×C8×C73C2311yescharacteristic, complemented
490C24×C73—21no—
491C24×C73—21no—
492C24×C73—21no—
493C24×C73—21no—
494C24×C73—21no—
495C24×C73—21no—
496C24×C73—21no—
497C24×C73—21no—
498C24×C73—44no—
499C24×C73—82no—
500C24×C73—82no—
501C24×C73C2×D411yescharacteristic
502#41×C73—22no—
503#41×C73—22no—
504#41×C73—41no—
505#41×C73—41no—
506#41×C73—41no—
507#41×C73—41no—
508#41×C73—41no—
509#41×C73—41no—
510#41×C73—41no—
511#41×C73—41no—
512#41×C73—41no—
513#41×C73—41no—
514#41×C73—44no—
515C2×Q8×C73—21no—
516C2×Q8×C73—21no—
517C2×Q8×C73—21no—
518C2×Q8×C73—41no—
519C2×Q8×C73—41no—
520C2×Q8×C73—41no—
521C2×Q8×C73—41no—
522C2×Q8×C73C2×D411yescharacteristic
523C2×Q8×C73C2411yescharacteristic
524C2×Q8×C73C2411yescharacteristic
525C2×Q8×C73C2411yescharacteristic
526C2×Q8×C73C2411yescharacteristic
527C2×D4×C73—22no—
528C2×D4×C73—22no—
529C2×D4×C73—22no—
530C2×D4×C73—22no—
531C2×D4×C73—22no—
532C2×D4×C73—22no—
533C2×D4×C73—22no—
534C2×D4×C73—22no—
535C2×D4×C73—21no—
536C2×D4×C73—21no—
537C2×D4×C73—21no—
538C2×D4×C73—21no—
539C2×D4×C73—21no—
540C2×D4×C73—21no—
541C2×D4×C73—21no—
542C2×D4×C73—21no—
543C2×D4×C73—21no—
544C2×D4×C73—21no—
545C2×D4×C73—21no—
546C2×D4×C73—21no—
547C2×D4×C73—21no—
548C2×D4×C73—21no—
549C2×D4×C73—21no—
550C2×D4×C73—21no—
551C2×D4×C73—21no—
552C2×D4×C73—21no—
553C2×D4×C73—21no—
554C2×D4×C73—21no—
555C2×D4×C73—21no—
556C2×D4×C73—21no—
557C2×D4×C73—21no—
558C2×D4×C73—21no—
559C2×D4×C73—21no—
560C2×D4×C73—21no—
561C2×D4×C73—41no—
562C2×D4×C73—41no—
563C2×D4×C73—41no—
564C2×D4×C73—41no—
565C2×D4×C73—41no—
566C2×D4×C73—41no—
567C2×D4×C73—41no—
568C2×D4×C73—41no—
569C2×D4×C73—44no—
570C2×D4×C73—44no—
571C2×D4×C73—44no—
572C2×D4×C73—44no—
573C2×D4×C73—44no—
574C2×D4×C73—44no—
575C2×D4×C73—82no—
576C2×D4×C73—82no—
577C2×D4×C73—82no—
578C2×D4×C73—82no—
579C2×D4×C73C2×D411yescharacteristic
580C2×D4×C73C2×D411yescharacteristic
581C2×D4×C73C2×D411yescharacteristic
582C2×D4×C73C2×D411yescharacteristic
583C2×D4×C73C2×D411yescharacteristic
584C2×D4×C73C2×D411yescharacteristic
585C2×D4×C73C2×D411yescharacteristic
586C2×D4×C73C2411yescharacteristic
587C2×D4×C73C2411yescharacteristic
588C2×D4×C73C2411yescharacteristic
589C2×D4×C73C2411yescharacteristic
590C2×D4×C73C2411yescharacteristic
591C2×D4×C73C2411yescharacteristic
592C22×C4×C73—21no—
593C22×C4×C73—21no—
594C22×C4×C73—21no—
595C22×C4×C73—21no—
596C22×C4×C73—21no—
597C22×C4×C73—21no—
598C22×C4×C73—21no—
599C22×C4×C73—21no—
600C22×C4×C73—21no—
601C22×C4×C73—21no—
602C22×C4×C73—21no—
603C22×C4×C73—21no—
604C22×C4×C73—21no—
605C22×C4×C73—21no—
606C22×C4×C73—41no—
607C22×C4×C73—41no—
608C22×C4×C73C2×D411yescharacteristic
609C22×C4×C73C2×D411yescharacteristic
610C22×C4×C73C2×D411yescharacteristic
611C22×C4×C73C2411yescharacteristic
612C22×C4×C73C2411yescharacteristic
613C22×C4×C73C2411yescharacteristic
614C22×C4×C73C2411yescharacteristic
615C22×C4×C73C2411yescharacteristic
616Q16×C73—41no—
617Q16×C73—41no—
618Q16×C73—41no—
619SD16×C73—22no—
620SD16×C73—22no—
621SD16×C73—22no—
622SD16×C73—22no—
623SD16×C73—22no—
624SD16×C73—22no—
625SD16×C73—41no—
626SD16×C73—41no—
627SD16×C73—41no—
628SD16×C73—41no—
629SD16×C73—41no—
630SD16×C73—41no—
631SD16×C73—41no—
632SD16×C73—41no—
633SD16×C73—41no—
634SD16×C73—41no—
635D8×C73—22no—
636D8×C73—22no—
637D8×C73—41no—
638D8×C73—41no—
639D8×C73—41no—
640M16×C73—41no—
641M16×C73—41no—
642M16×C73—41no—
643M16×C73—41no—
644C2×C8×C73—41no—
645C2×C8×C73—41no—
646C2×C8×C73—41no—
647C2×C8×C73—41no—
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C2×C8×C73C2411yescharacteristic
652C2×C8×C73C2411yescharacteristic
653C2×C8×C73C2411yescharacteristic
654C2×C8×C73C2411yescharacteristic
655C2×C8×C73C2411yescharacteristic
656C4⋊C4×C73—21no—
657C4⋊C4×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73—21no—
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73C2×D411yescharacteristic
678C4⋊C4×C73C2×D411yescharacteristic
679C4⋊C4×C73C2×D411yescharacteristic
680C4⋊C4×C73C2×D411yescharacteristic
681C4⋊C4×C73C2×D411yescharacteristic
682C4⋊C4×C73C2×D411yescharacteristic
683C4⋊C4×C73C2411yescharacteristic
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
721C22⋊C4×C73—21no—
722C22⋊C4×C73—21no—
723C22⋊C4×C73C2×D411yescharacteristic
724C22⋊C4×C73C2×D411yescharacteristic
725C22⋊C4×C73C2×D411yescharacteristic
726C22⋊C4×C73C2×D411yescharacteristic
727C22⋊C4×C73C2×D411yescharacteristic
728C22⋊C4×C73C2×D411yescharacteristic
729C22⋊C4×C73C2×D411yescharacteristic
730C22⋊C4×C73C2×D411yescharacteristic
731C22⋊C4×C73C2×D411yescharacteristic
732C22⋊C4×C73C2×D411yescharacteristic
733C42×C73—21no—
734C42×C73—21no—
735C42×C73—21no—
736C42×C73—21no—
737C42×C73—21no—
738C42×C73—21no—
739C42×C73C2411yescharacteristic
740C42×C73C2411yescharacteristic
741C23×C73—24no—
742C23×C73—22no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—21no—
749C23×C73—41no—
750C23×C73—41no—
751C23×C73—42no—
752C23×C73—42no—
753C23×C73—42no—
754C23×C73—42no—
755C23×C73—42no—
756C23×C73—42no—
757C23×C73—42no—
758C23×C73—42no—
759C23×C73—42no—
760C23×C73—42no—
761C23×C73—42no—
762C23×C73—81no—
763C23×C73—81no—
764C23×C73—81no—
765C23×C73—81no—
766C23×C73—81no—
767C23×C73—81no—
768C23×C73—81no—
769C23×C73—81no—
770C23×C73—81no—
771C23×C73—81no—
772C23×C73—81no—
773C23×C73—81no—
774C23×C73—816no—
775C23×C73C22×D411yescharacteristic
776C23×C73C22×D411yescharacteristic
777C23×C73C22×D411yescharacteristic
778C23×C73C22×D411yescharacteristic
779C23×C73C22×D411yescharacteristic
780Q8×C73—21no—
781Q8×C73—21no—
782Q8×C73—21no—
783Q8×C73—21no—
784Q8×C73—21no—
785Q8×C73—21no—
786Q8×C73—21no—
787Q8×C73—21no—
788Q8×C73—41no—
789Q8×C73—81no—
790Q8×C73—81no—
791Q8×C73—81no—
792D4×C73—24no—
793D4×C73—22no—
794D4×C73—22no—
795D4×C73—21no—
796D4×C73—21no—
797D4×C73—21no—
798D4×C73—21no—
799D4×C73—21no—
800D4×C73—21no—
801D4×C73—21no—
802D4×C73—21no—
803D4×C73—21no—
804D4×C73—21no—
805D4×C73—41no—
806D4×C73—41no—
807D4×C73—41no—
808D4×C73—41no—
809D4×C73—41no—
810D4×C73—42no—
811D4×C73—42no—
812D4×C73—42no—
813D4×C73—42no—
814D4×C73—42no—
815D4×C73—42no—
816D4×C73—42no—
817D4×C73—42no—
818D4×C73—42no—
819D4×C73—42no—
820D4×C73—42no—
821D4×C73—42no—
822D4×C73—42no—
823D4×C73—81no—
824D4×C73—81no—
825D4×C73—81no—
826D4×C73—81no—
827D4×C73—81no—
828D4×C73—81no—
829D4×C73—81no—
830D4×C73—81no—
831D4×C73—81no—
832D4×C73—81no—
833D4×C73—81no—
834D4×C73—81no—
835D4×C73H(5,𝔽2)12yes—
836D4×C73H(5,𝔽2)12yes—
837C2×C4×C73—21no—
838C2×C4×C73—21no—
839C2×C4×C73—21no—
840C2×C4×C73—21no—
841C2×C4×C73—21no—
842C2×C4×C73—21no—
843C2×C4×C73—21no—
844C2×C4×C73—21no—
845C2×C4×C73—21no—
846C2×C4×C73—21no—
847C2×C4×C73—21no—
848C2×C4×C73—21no—
849C2×C4×C73—21no—
850C2×C4×C73—21no—
851C2×C4×C73—21no—
852C2×C4×C73—21no—
853C2×C4×C73—21no—
854C2×C4×C73—21no—
855C2×C4×C73—21no—
856C2×C4×C73—21no—
857C2×C4×C73—41no—
858C2×C4×C73—41no—
859C2×C4×C73—41no—
860C2×C4×C73—42no—
861C2×C4×C73—42no—
862C2×C4×C73—42no—
863C2×C4×C73—81no—
864C2×C4×C73—81no—
865C2×C4×C73—81no—
866C2×C4×C73—81no—
867C2×C4×C73—81no—
868C2×C4×C73—81no—
869C2×C4×C73—81no—
870C2×C4×C73—81no—
871C2×C4×C73—81no—
872C2×C4×C73—81no—
873C2×C4×C73—81no—
874C2×C4×C73C22×D411yescharacteristic
875C2×C4×C73C22×D411yescharacteristic
876C2×C4×C73C22×D411yescharacteristic
877C2×C4×C73C22×D411yescharacteristic
878C2×C4×C73C22×D411yescharacteristic
879C2×C4×C73C22×D411yescharacteristic
880C2×C4×C73C22×D411yescharacteristic
881C2×C4×C73C22×D411yescharacteristic
882C2×C4×C73C22×D411yescharacteristic
883C2×C4×C73C2511yescharacteristic
884C8×C73—21no—
885C8×C73—21no—
886C8×C73—21no—
887C8×C73—21no—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—21no—
901C22×C73—21no—
902C22×C73—22no—
903C22×C73—22no—
904C22×C73—21no—
905C22×C73—21no—
906C22×C73—21no—
907C22×C73—21no—
908C22×C73—44no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—41no—
922C22×C73—41no—
923C22×C73—41no—
924C22×C73—41no—
925C22×C73—84no—
926C22×C73—84no—
927C22×C73—84no—
928C22×C73—84no—
929C22×C73—84no—
930C22×C73—84no—
931C22×C73—162no—
932C22×C73—162no—
933C22×C73#57712yes—
934C22×C73C23×D411yescharacteristic
935C4×C73—21no—
936C4×C73—21no—
937C4×C73—21no—
938C4×C73—21no—
939C4×C73—21no—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73—41no—
949C4×C73—41no—
950C4×C73—41no—
951C4×C73—41no—
952C4×C73—41no—
953C4×C73—41no—
954C4×C73C2×H(5,𝔽2)11yescharacteristic
955C4×C73C2×H(5,𝔽2)11yescharacteristic
956#61610C7311yesmaximal, characteristic, direct product factor, Sylow
957C2×C73—22no—
958C2×C73—41no—
959C2×C73—41no—
960C2×C73—41no—
961C2×C73—41no—
962C2×C73—42no—
963C2×C73—42no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73—81no—
967C2×C73—81no—
968C2×C73#348411yescharacteristic
969C2×C73C2×#57711yescharacteristic
970C2×C73#358511yescharacteristic
971#3541C2×C7311yescharacteristic, complemented
972#3484C2×C7311yescharacteristic, complemented
973#3324C2×C7311yescharacteristic, complemented
974#3323C2×C7311yescharacteristic, complemented
975#3318C2×C7311yescharacteristic, complemented
976#3314C2×C7311yescharacteristic, complemented
977#3311C2×C7311yescharacteristic, complemented
978#3310C2×C7311yescharacteristic, complemented
979#3297C2×C7311yescharacteristic, complemented
980#3295C2×C7311yescharacteristic, complemented
981#3282C2×C7311yescharacteristic, complemented
982D4×SD16C2×C7311yescharacteristic, complemented
983#3275C2×C7311yescharacteristic, complemented
984#3272C2×C7311yescharacteristic, complemented
985#3267C2×C7311yescharacteristic, complemented
986#3266C2×C7311yescharacteristic, complemented
987#3265C2×C7311yescharacteristic, complemented
988#3265C2×C7311yescharacteristic, complemented
989#3224C2×C7311yescharacteristic, complemented
990#3222C2×C7311yescharacteristic, complemented
991#3200C2×C7311yescharacteristic, complemented
992#3198C2×C7311yescharacteristic, complemented
993#3196C2×C7311yescharacteristic, complemented
994#3191C2×C7311yescharacteristic, complemented
995#3123C2×C7311yescharacteristic, complemented
996#3118C2×C7311yescharacteristic, complemented
997#3012C2×C7311yescharacteristic, complemented
998#3009C2×C7311yescharacteristic, complemented
999#3003C2×C7311yescharacteristic, complemented
1000C2×#450C2×C7311yescharacteristic, complemented
1001#2976C2×C7311yescharacteristic, complemented
1002C73#6161011yescharacteristic, direct product factor, Sylow
1003C2×H(5,𝔽2)C22×C7311yescharacteristic
1004C23×D4C22×C7311yescharacteristic
1005C2×#137C22×C7311yescharacteristic, complemented
1006C2×AGL(1,ℤ/8)C22×C7311yescharacteristic, complemented
1007C2×AGL(1,ℤ/8)C22×C7311yescharacteristic, complemented
1008C2×AGL(1,ℤ/8)C22×C7311yescharacteristic, complemented
1009C2×#135C22×C7311yescharacteristic, complemented
1010C22×SD16C22×C7311yescharacteristic, complemented
1011C22×SD16C22×C7311yescharacteristic, complemented
1012C22×SD16C22×C7311yescharacteristic, complemented
1013#563—21no—
1014#562—21no—
1015#556C22×C7311yescharacteristic, complemented
1016#554—21no—
1017#554C22×C7311yescharacteristic, complemented
1018#553—21no—
1019#553C22×C7311yescharacteristic, complemented
1020#552C22×C7311yescharacteristic, complemented
1021D4×Q8C22×C7311yescharacteristic, complemented
1022#548C22×C7311yescharacteristic, complemented
1023#548C22×C7311yescharacteristic, complemented
1024#547C22×C7311yescharacteristic, complemented
1025#546—21no—
1026#546—21no—
1027#546C22×C7311yescharacteristic
1028#546C22×C7311yescharacteristic
1029#546C22×C7311yescharacteristic
1030#546C22×C7311yescharacteristic
1031D42—21no—
1032D42—21no—
1033D42C22×C7311yescharacteristic
1034D42C22×C7311yescharacteristic
1035D42C22×C7311yescharacteristic
1036D42C22×C7311yescharacteristic
1037#542—21no—
1038#542C22×C7311yescharacteristic, complemented
1039#541C22×C7311yescharacteristic, complemented
1040#539—21no—
1041#538—21no—
1042#538—21no—
1043#537C22×C7311yescharacteristic, complemented
1044#536C22×C7311yescharacteristic, complemented
1045#535C22×C7311yescharacteristic
1046#535C22×C7311yescharacteristic
1047#534—21no—
1048#534—21no—
1049#525C22×C7311yescharacteristic
1050#525C22×C7311yescharacteristic
1051#525C22×C7311yescharacteristic, complemented
1052C2×C22⋊Q8C22×C7311yescharacteristic, complemented
1053C2×#120—21no—
1054C2×#120—21no—
1055#518C22×C7311yescharacteristic
1056#497C22×C7311yescharacteristic, complemented
1057#496C22×C7311yescharacteristic, complemented
1058#495C22×C7311yescharacteristic, complemented
1059#492C22×C7311yescharacteristic, complemented
1060#490C22×C7311yescharacteristic, complemented
1061#489C22×C7311yescharacteristic, complemented
1062#488C22×C7311yescharacteristic, complemented
1063#486C22×C7311yescharacteristic, complemented
1064#485C22×C7311yescharacteristic, complemented
1065#485C22×C7311yescharacteristic, complemented
1066#485C22×C7311yescharacteristic, complemented
1067#485C22×C7311yescharacteristic, complemented
1068#484C22×C7311yescharacteristic, complemented
1069#482C22×C7311yescharacteristic, complemented
1070#482C22×C7311yescharacteristic, complemented
1071#482C22×C7311yescharacteristic, complemented
1072#482C22×C7311yescharacteristic, complemented
1073#481C22×C7311yescharacteristic, complemented
1074#481C22×C7311yescharacteristic, complemented
1075#480C22×C7311yescharacteristic, complemented
1076#478C22×C7311yescharacteristic, complemented
1077#478C22×C7311yescharacteristic, complemented
1078#476C22×C7311yescharacteristic, complemented
1079#474C22×C7311yescharacteristic, complemented
1080#470C22×C7311yescharacteristic, complemented
1081#470C22×C7311yescharacteristic, complemented
1082#469C22×C7311yescharacteristic, complemented
1083#468C22×C7311yescharacteristic, complemented
1084#468C22×C7311yescharacteristic, complemented
1085#468C22×C7311yescharacteristic, complemented
1086#468C22×C7311yescharacteristic, complemented
1087#468C22×C7311yescharacteristic, complemented
1088#467C22×C7311yescharacteristic, complemented
1089#466C22×C7311yescharacteristic, complemented
1090#466C22×C7311yescharacteristic, complemented
1091#465C22×C7311yescharacteristic, complemented
1092#465C22×C7311yescharacteristic, complemented
1093#465C22×C7311yescharacteristic, complemented
1094#465C22×C7311yescharacteristic, complemented
1095#465C22×C7311yescharacteristic, complemented
1096#464C22×C7311yescharacteristic, complemented
1097#464C22×C7311yescharacteristic, complemented
1098#464C22×C7311yescharacteristic, complemented
1099#463C22×C7311yescharacteristic, complemented
1100#463C22×C7311yescharacteristic, complemented
1101#463C22×C7311yescharacteristic, complemented
1102#461C22×C7311yescharacteristic, complemented
1103#461C22×C7311yescharacteristic, complemented
1104#460C22×C7311yescharacteristic, complemented
1105#460C22×C7311yescharacteristic, complemented
1106#460C22×C7311yescharacteristic, complemented
1107#459C22×C7311yescharacteristic, complemented
1108#452C22×C7311yescharacteristic, complemented
1109#452C22×C7311yescharacteristic, complemented
1110#452C22×C7311yescharacteristic, complemented
1111#452C22×C7311yescharacteristic, complemented
1112#452C22×C7311yescharacteristic, complemented
1113#452C22×C7311yescharacteristic, complemented
1114#452C22×C7311yescharacteristic, complemented
1115#451C22×C7311yescharacteristic, complemented
1116#450C22×C7311yescharacteristic
1117#450C22×C7311yescharacteristic
1118#450C22×C7311yescharacteristic
1119#450C22×C7311yescharacteristic, complemented
1120#450C22×C7311yescharacteristic, complemented
1121#450C22×C7311yescharacteristic, complemented
1122#450C22×C7311yescharacteristic, complemented
1123#450C22×C7311yescharacteristic, complemented
1124#450C22×C7311yescharacteristic, complemented
1125#450C22×C7311yescharacteristic, complemented
1126#450C22×C7311yescharacteristic, complemented
1127#450C22×C7311yescharacteristic, complemented
1128#450C22×C7311yescharacteristic, complemented
1129#450C22×C7311yescharacteristic, complemented
1130#450C22×C7311yescharacteristic, complemented
1131#449C22×C7311yescharacteristic, complemented
1132#449C22×C7311yescharacteristic, complemented
1133#449C22×C7311yescharacteristic, complemented
1134#449C22×C7311yescharacteristic, complemented
1135#449C22×C7311yescharacteristic, complemented
1136#448C22×C7311yescharacteristic, complemented
1137#448C22×C7311yescharacteristic, complemented
1138#448C22×C7311yescharacteristic, complemented
1139#447C22×C7311yescharacteristic
1140#447C22×C7311yescharacteristic, complemented
1141#447C22×C7311yescharacteristic, complemented
1142#447C22×C7311yescharacteristic, complemented
1143#447C22×C7311yescharacteristic, complemented
1144#442C22×C7311yescharacteristic, complemented
1145#440C22×C7311yescharacteristic, complemented
1146#440C22×C7311yescharacteristic, complemented
1147#440C22×C7311yescharacteristic, complemented
1148C4×SD16C22×C7311yescharacteristic, complemented
1149C4×SD16C22×C7311yescharacteristic, complemented
1150C4×SD16C22×C7311yescharacteristic, complemented
1151C4×D8C22×C7311yescharacteristic, complemented
1152#436C22×C7311yescharacteristic, complemented
1153#436C22×C7311yescharacteristic, complemented
1154#435C22×C7311yescharacteristic, complemented
1155#435C22×C7311yescharacteristic, complemented
1156#435C22×C7311yescharacteristic, complemented
1157#435C22×C7311yescharacteristic, complemented
1158C8×D4C22×C7311yescharacteristic, complemented
1159C8×D4C22×C7311yescharacteristic, complemented
1160#433C22×C7311yescharacteristic, complemented
1161#433C22×C7311yescharacteristic, complemented
1162#418C22×C7311yescharacteristic, complemented
1163#418C22×C7311yescharacteristic, complemented
1164#418C22×C7311yescharacteristic, complemented
1165#417C22×C7311yescharacteristic, complemented
1166#416C22×C7311yescharacteristic, complemented
1167C2×#102C22×C7311yescharacteristic, complemented
1168C2×#102C22×C7311yescharacteristic, complemented
1169C2×#102C22×C7311yescharacteristic, complemented
1170#408C22×C7311yescharacteristic, complemented
1171#408C22×C7311yescharacteristic, complemented
1172#407C22×C7311yescharacteristic, complemented
1173C2×C22⋊C8C22×C7311yescharacteristic, complemented
1174C25—21no—
1175H(5,𝔽2)—42no—
1176H(5,𝔽2)—42no—
1177C2×#41—21no—
1178C2×#41C23×C7311yescharacteristic
1179C2×#41C23×C7311yescharacteristic
1180C2×#41C23×C7311yescharacteristic
1181C2×#41C23×C7311yescharacteristic
1182C2×#41C23×C7311yescharacteristic
1183C2×#41C23×C7311yescharacteristic, complemented
1184C22×Q8C23×C7311yescharacteristic
1185C22×Q8C23×C7311yescharacteristic, complemented
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—21no—
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—21no—
1194C22×D4—21no—
1195C22×D4—21no—
1196C22×D4—42no—
1197C22×D4—42no—
1198C22×D4C23×C7311yescharacteristic
1199C22×D4C23×C7311yescharacteristic
1200C22×D4C23×C7311yescharacteristic
1201C22×D4C23×C7311yescharacteristic
1202C22×D4C23×C7311yescharacteristic
1203C22×D4C23×C7311yescharacteristic
1204C22×D4C23×C7311yescharacteristic
1205C22×D4C23×C7311yescharacteristic
1206C23×C4C23×C7311yescharacteristic
1207#137—42no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—42no—
1210AGL(1,ℤ/8)—42no—
1211#135—42no—
1212C2×Q16C23×C7311yescharacteristic, complemented
1213C2×Q16C23×C7311yescharacteristic, complemented
1214C2×Q16C23×C7311yescharacteristic, complemented
1215C2×SD16—42no—
1216C2×SD16—42no—
1217C2×SD16—42no—
1218C2×SD16C23×C7311yescharacteristic
1219C2×SD16C23×C7311yescharacteristic
1220C2×SD16C23×C7311yescharacteristic
1221C2×SD16C23×C7311yescharacteristic
1222C2×SD16C23×C7311yescharacteristic
1223C2×SD16C23×C7311yescharacteristic
1224C2×SD16C23×C7311yescharacteristic
1225C2×SD16C23×C7311yescharacteristic
1226C2×SD16C23×C7311yescharacteristic
1227C2×SD16C23×C7311yescharacteristic
1228C2×SD16C23×C7311yescharacteristic
1229C2×SD16C23×C7311yescharacteristic
1230C2×SD16C23×C7311yescharacteristic, complemented
1231C2×SD16C23×C7311yescharacteristic, complemented
1232C2×SD16C23×C7311yescharacteristic, complemented
1233C2×SD16C23×C7311yescharacteristic, complemented
1234C2×D8C23×C7311yescharacteristic
1235C2×D8C23×C7311yescharacteristic
1236C2×D8C23×C7311yescharacteristic
1237C2×D8C23×C7311yescharacteristic
1238C2×D8C23×C7311yescharacteristic, complemented
1239C2×M16C23×C7311yescharacteristic
1240C2×M16C23×C7311yescharacteristic
1241C2×M16C23×C7311yescharacteristic, complemented
1242C2×M16C23×C7311yescharacteristic, complemented
1243C22×C8C23×C7311yescharacteristic
1244C22×C8C23×C7311yescharacteristic
1245C22×C8C23×C7311yescharacteristic, complemented
1246C22×C8C23×C7311yescharacteristic, complemented
1247C4⋊Q8—21no—
1248C4⋊Q8—21no—
1249C4⋊Q8C23×C7311yescharacteristic, complemented
1250C4⋊Q8C23×C7311yescharacteristic, complemented
1251#127—21no—
1252#127C23×C7311yescharacteristic
1253#127C23×C7311yescharacteristic
1254#126—21no—
1255#126—21no—
1256#126—21no—
1257#126—21no—
1258#126—21no—
1259#126—21no—
1260#126—21no—
1261#125—21no—
1262#125—21no—
1263#125—21no—
1264#125—21no—
1265#125C23×C7311yescharacteristic, complemented
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124C23×C7311yescharacteristic
1273#124C23×C7311yescharacteristic
1274#124C23×C7311yescharacteristic, complemented
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123—21no—
1288#123D4×C7311yescharacteristic
1289#123D4×C7311yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8—21no—
1296C22⋊Q8—21no—
1297C22⋊Q8—21no—
1298C22⋊Q8—21no—
1299C22⋊Q8—21no—
1300C22⋊Q8D4×C7311yescharacteristic
1301C22⋊Q8D4×C7311yescharacteristic
1302C22⋊Q8C23×C7311yescharacteristic
1303C22⋊Q8C23×C7311yescharacteristic
1304C22⋊Q8C23×C7311yescharacteristic
1305C22⋊Q8C23×C7311yescharacteristic
1306C22⋊Q8C23×C7311yescharacteristic
1307C22⋊Q8C23×C7311yescharacteristic
1308C22⋊Q8C23×C7311yescharacteristic
1309C22⋊Q8C23×C7311yescharacteristic
1310C22⋊Q8C23×C7311yescharacteristic, complemented
1311C22⋊Q8C23×C7311yescharacteristic, complemented
1312C22⋊Q8C23×C7311yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121D4×C7311yescharacteristic
1331#121D4×C7311yescharacteristic
1332#121C23×C7311yescharacteristic
1333#121C23×C7311yescharacteristic
1334#121C23×C7311yescharacteristic
1335#121C23×C7311yescharacteristic
1336#121C23×C7311yescharacteristic
1337#121C23×C7311yescharacteristic
1338#121C23×C7311yescharacteristic
1339#121C23×C7311yescharacteristic
1340#121C23×C7311yescharacteristic, complemented
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120—21no—
1347#120—21no—
1348#120—21no—
1349#120—21no—
1350#120—21no—
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120D4×C7311yescharacteristic
1360#120D4×C7311yescharacteristic
1361C4×Q8—21no—
1362C4×Q8C23×C7311yescharacteristic, complemented
1363C4×Q8C23×C7311yescharacteristic, complemented
1364C4×Q8C23×C7311yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4—21no—
1368C4×D4—21no—
1369C4×D4—21no—
1370C4×D4—21no—
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4C23×C7311yescharacteristic
1377C4×D4C23×C7311yescharacteristic
1378C4×D4C23×C7311yescharacteristic
1379C4×D4C23×C7311yescharacteristic
1380C4×D4C23×C7311yescharacteristic
1381C4×D4C23×C7311yescharacteristic
1382C4×D4C23×C7311yescharacteristic
1383C4×D4C23×C7311yescharacteristic
1384C4×D4C23×C7311yescharacteristic, complemented
1385#117—21no—
1386#117C23×C7311yescharacteristic
1387#117C23×C7311yescharacteristic
1388#117C23×C7311yescharacteristic
1389#117C23×C7311yescharacteristic, complemented
1390C2×C4⋊C4—21no—
1391C2×C4⋊C4—21no—
1392C2×C4⋊C4C23×C7311yescharacteristic
1393C2×C4⋊C4C23×C7311yescharacteristic, complemented
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—21no—
1396C2×C22⋊C4—21no—
1397C2×C22⋊C4—21no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—21no—
1400C2×C22⋊C4—21no—
1401#107C23×C7311yescharacteristic, complemented
1402#107C23×C7311yescharacteristic, complemented
1403#107C23×C7311yescharacteristic, complemented
1404#107C23×C7311yescharacteristic, complemented
1405#106C23×C7311yescharacteristic, complemented
1406#106C23×C7311yescharacteristic, complemented
1407#106C23×C7311yescharacteristic, complemented
1408#106C23×C7311yescharacteristic, complemented
1409C4⋊C8C23×C7311yescharacteristic, complemented
1410C4⋊C8C23×C7311yescharacteristic, complemented
1411C4⋊C8C23×C7311yescharacteristic, complemented
1412C4⋊C8C23×C7311yescharacteristic, complemented
1413#103C23×C7311yescharacteristic, complemented
1414#103C23×C7311yescharacteristic, complemented
1415#103C23×C7311yescharacteristic, complemented
1416#103C23×C7311yescharacteristic, complemented
1417#103C23×C7311yescharacteristic, complemented
1418#103C23×C7311yescharacteristic, complemented
1419#103C23×C7311yescharacteristic, complemented
1420#103C23×C7311yescharacteristic, complemented
1421#103C23×C7311yescharacteristic, complemented
1422#103C23×C7311yescharacteristic, complemented
1423#102C23×C7311yescharacteristic
1424#102C23×C7311yescharacteristic
1425#102C23×C7311yescharacteristic
1426#102C23×C7311yescharacteristic
1427#102C23×C7311yescharacteristic
1428#102C23×C7311yescharacteristic
1429#102C23×C7311yescharacteristic
1430#102C23×C7311yescharacteristic
1431#102C23×C7311yescharacteristic
1432#102C23×C7311yescharacteristic
1433#102C23×C7311yescharacteristic
1434#102C23×C7311yescharacteristic
1435#102C23×C7311yescharacteristic
1436#102C23×C7311yescharacteristic
1437#102C23×C7311yescharacteristic
1438#102C23×C7311yescharacteristic
1439#102C23×C7311yescharacteristic, complemented
1440#102C23×C7311yescharacteristic, complemented
1441#102C23×C7311yescharacteristic, complemented
1442#102C23×C7311yescharacteristic, complemented
1443#102C23×C7311yescharacteristic, complemented
1444#102C23×C7311yescharacteristic, complemented
1445C22⋊C8C23×C7311yescharacteristic
1446C22⋊C8C23×C7311yescharacteristic
1447C22⋊C8C23×C7311yescharacteristic
1448C22⋊C8C23×C7311yescharacteristic
1449C22⋊C8C23×C7311yescharacteristic
1450C22⋊C8C23×C7311yescharacteristic
1451C22⋊C8C23×C7311yescharacteristic
1452C22⋊C8C23×C7311yescharacteristic
1453C22⋊C8C23×C7311yescharacteristic, complemented
1454C22⋊C8C23×C7311yescharacteristic, complemented
1455C22⋊C8C23×C7311yescharacteristic, complemented
1456C22⋊C8C23×C7311yescharacteristic, complemented
1457#97C23×C7311yescharacteristic, complemented
1458#97C23×C7311yescharacteristic, complemented
1459C4×C8C23×C7311yescharacteristic, complemented
1460C4×C8C23×C7311yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—21no—
1465C24—21no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—44no—
1470C24—82no—
1471C24—82no—
1472C24C2×D4×C7311yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—44no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—21no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—41no—
1493C2×Q8C2×D4×C7311yescharacteristic
1494C2×Q8C24×C7311yescharacteristic
1495C2×Q8C24×C7311yescharacteristic
1496C2×Q8C24×C7311yescharacteristic
1497C2×Q8C24×C7311yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—44no—
1543C2×D4—44no—
1544C2×D4—44no—
1545C2×D4—44no—
1546C2×D4—82no—
1547C2×D4—82no—
1548C2×D4—82no—
1549C2×D4—82no—
1550C2×D4C2×D4×C7311yescharacteristic
1551C2×D4C2×D4×C7311yescharacteristic
1552C2×D4C2×D4×C7311yescharacteristic
1553C2×D4C2×D4×C7311yescharacteristic
1554C2×D4C2×D4×C7311yescharacteristic
1555C2×D4C2×D4×C7311yescharacteristic
1556C2×D4C2×D4×C7311yescharacteristic
1557C2×D4C24×C7311yescharacteristic
1558C2×D4C24×C7311yescharacteristic
1559C2×D4C24×C7311yescharacteristic
1560C2×D4C24×C7311yescharacteristic
1561C2×D4C24×C7311yescharacteristic
1562C2×D4C24×C7311yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—41no—
1578C22×C4—41no—
1579C22×C4C2×D4×C7311yescharacteristic
1580C22×C4C2×D4×C7311yescharacteristic
1581C22×C4C2×D4×C7311yescharacteristic
1582C22×C4C24×C7311yescharacteristic
1583C22×C4C24×C7311yescharacteristic
1584C22×C4C24×C7311yescharacteristic
1585C22×C4C24×C7311yescharacteristic
1586C22×C4C24×C7311yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—41no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—22no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—41no—
1600SD16—41no—
1601SD16—41no—
1602SD16—41no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—41no—
1610D8—41no—
1611M16—41no—
1612M16—41no—
1613M16—41no—
1614M16—41no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8C24×C7311yescharacteristic
1620C2×C8C24×C7311yescharacteristic
1621C2×C8C24×C7311yescharacteristic
1622C2×C8C24×C7311yescharacteristic
1623C2×C8C24×C7311yescharacteristic
1624C2×C8C24×C7311yescharacteristic
1625C2×C8C24×C7311yescharacteristic
1626C2×C8C24×C7311yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4C2×D4×C7311yescharacteristic
1649C4⋊C4C2×D4×C7311yescharacteristic
1650C4⋊C4C2×D4×C7311yescharacteristic
1651C4⋊C4C2×D4×C7311yescharacteristic
1652C4⋊C4C2×D4×C7311yescharacteristic
1653C4⋊C4C2×D4×C7311yescharacteristic
1654C4⋊C4C24×C7311yescharacteristic
1655C4⋊C4C24×C7311yescharacteristic
1656C4⋊C4C24×C7311yescharacteristic
1657C4⋊C4C24×C7311yescharacteristic
1658C4⋊C4C24×C7311yescharacteristic
1659C4⋊C4C24×C7311yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4C2×D4×C7311yescharacteristic
1695C22⋊C4C2×D4×C7311yescharacteristic
1696C22⋊C4C2×D4×C7311yescharacteristic
1697C22⋊C4C2×D4×C7311yescharacteristic
1698C22⋊C4C2×D4×C7311yescharacteristic
1699C22⋊C4C2×D4×C7311yescharacteristic
1700C22⋊C4C2×D4×C7311yescharacteristic
1701C22⋊C4C2×D4×C7311yescharacteristic
1702C22⋊C4C2×D4×C7311yescharacteristic
1703C22⋊C4C2×D4×C7311yescharacteristic
1704C42—21no—
1705C42—21no—
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—21no—
1710C42C24×C7311yescharacteristic
1711C42C24×C7311yescharacteristic
1712C23—24no—
1713C23—22no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—41no—
1721C23—41no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23—816no—
1746C23C22×D4×C7311yescharacteristic
1747C23C22×D4×C7311yescharacteristic
1748C23C22×D4×C7311yescharacteristic
1749C23C22×D4×C7311yescharacteristic
1750C23C22×D4×C7311yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—21no—
1758Q8—21no—
1759Q8—41no—
1760Q8—81no—
1761Q8—81no—
1762Q8—81no—
1763D4—24no—
1764D4—22no—
1765D4—22no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—21no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—41no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4H(5,𝔽2)×C7312yes—
1807D4H(5,𝔽2)×C7312yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4C22×D4×C7311yescharacteristic
1846C2×C4C22×D4×C7311yescharacteristic
1847C2×C4C22×D4×C7311yescharacteristic
1848C2×C4C22×D4×C7311yescharacteristic
1849C2×C4C22×D4×C7311yescharacteristic
1850C2×C4C22×D4×C7311yescharacteristic
1851C2×C4C22×D4×C7311yescharacteristic
1852C2×C4C22×D4×C7311yescharacteristic
1853C2×C4C22×D4×C7311yescharacteristic
1854C2×C4C25×C7311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—21no—
1860C8—21no—
1861C8—21no—
1862C8—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—22no—
1870C22—22no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—44no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—84no—
1897C22—84no—
1898C22—84no—
1899C22—84no—
1900C22—84no—
1901C22—84no—
1902C22—162no—
1903C22—162no—
1904C22#577×C7312yes—
1905C22C23×D4×C7311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4C2×H(5,𝔽2)×C7311yescharacteristic
1926C4C2×H(5,𝔽2)×C7311yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—41no—
1931C2—41no—
1932C2—42no—
1933C2—42no—
1934C2—81no—
1935C2—81no—
1936C2—81no—
1937C2—81no—
1938C2C73×#348411yescharacteristic
1939C2C2×#577×C7311yescharacteristic
1940C2C73×#358511yescharacteristic
subgroupG/H
center, socleC22×C73C23×D4
commutator, Frattini, cosocleC2×C4C25×C73
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C73 ◁ #525×C73 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C73×#3541C2semidirect
2. C73×#3484C2semidirect
3. C73×#3324C2semidirect
4. C73×#3323C2semidirect
5. C73×#3318C2semidirect
6. C73×#3314C2semidirect
7. C73×#3311C2semidirect
8. C73×#3310C2semidirect
9. C73×#3297C2semidirect
10. C73×#3295C2semidirect
11. C73×#3282C2semidirect
12. D4×SD16×C73C2semidirect
13. C73×#3275C2semidirect
14. C73×#3272C2semidirect
15. C73×#3267C2semidirect
16. C73×#3266C2semidirect
17. C73×#3265C2semidirect
18. C73×#3265C2semidirect
19. C73×#3224C2semidirect
20. C73×#3222C2semidirect
21. C73×#3200C2semidirect
22. C73×#3198C2semidirect
23. C73×#3196C2semidirect
24. C73×#3191C2semidirect
25. C73×#3123C2semidirect
26. C73×#3118C2semidirect
27. C73×#3012C2semidirect
28. C73×#3009C2semidirect
29. C73×#3003C2semidirect
30. C2×#450×C73C2semidirect
31. C73×#2976C2semidirect
34. C2×#137×C73C22semidirect
35. C2×AGL(1,ℤ/8)×C73C22semidirect
36. C2×AGL(1,ℤ/8)×C73C22semidirect
37. C2×AGL(1,ℤ/8)×C73C22semidirect
38. C2×#135×C73C22semidirect
39. C22×SD16×C73C22semidirect
40. C22×SD16×C73C22semidirect
41. C22×SD16×C73C22semidirect
44. #556×C73C22semidirect
46. #554×C73C22semidirect
48. #553×C73C22semidirect
49. #552×C73C22semidirect
50. D4×Q8×C73C22semidirect
51. #548×C73C22semidirect
52. #548×C73C22semidirect
53. #547×C73C22semidirect
67. #542×C73C22semidirect
68. #541×C73C22semidirect
72. #537×C73C22semidirect
73. #536×C73C22semidirect
80. #525×C73C22semidirect
81. C2×C22⋊Q8×C73C22semidirect
85. #497×C73C22semidirect
86. #496×C73C22semidirect
87. #495×C73C22semidirect
88. #492×C73C22semidirect
89. #490×C73C22semidirect
90. #489×C73C22semidirect
91. #488×C73C22semidirect
92. #486×C73C22semidirect
93. #485×C73C22semidirect
94. #485×C73C22semidirect
95. #485×C73C22semidirect
96. #485×C73C22semidirect
97. #484×C73C22semidirect
98. #482×C73C22semidirect
99. #482×C73C22semidirect
100. #482×C73C22semidirect
101. #482×C73C22semidirect
102. #481×C73C22semidirect
103. #481×C73C22semidirect
104. #480×C73C22semidirect
105. #478×C73C22semidirect
106. #478×C73C22semidirect
107. #476×C73C22semidirect
108. #474×C73C22semidirect
109. #470×C73C22semidirect
110. #470×C73C22semidirect
111. #469×C73C22semidirect
112. #468×C73C22semidirect
113. #468×C73C22semidirect
114. #468×C73C22semidirect
115. #468×C73C22semidirect
116. #468×C73C22semidirect
117. #467×C73C22semidirect
118. #466×C73C22semidirect
119. #466×C73C22semidirect
120. #465×C73C22semidirect
121. #465×C73C22semidirect
122. #465×C73C22semidirect
123. #465×C73C22semidirect
124. #465×C73C22semidirect
125. #464×C73C22semidirect
126. #464×C73C22semidirect
127. #464×C73C22semidirect
128. #463×C73C22semidirect
129. #463×C73C22semidirect
130. #463×C73C22semidirect
131. #461×C73C22semidirect
132. #461×C73C22semidirect
133. #460×C73C22semidirect
134. #460×C73C22semidirect
135. #460×C73C22semidirect
136. #459×C73C22semidirect
137. #452×C73C22semidirect
138. #452×C73C22semidirect
139. #452×C73C22semidirect
140. #452×C73C22semidirect
141. #452×C73C22semidirect
142. #452×C73C22semidirect
143. #452×C73C22semidirect
144. #451×C73C22semidirect
148. #450×C73C22semidirect
149. #450×C73C22semidirect
150. #450×C73C22semidirect
151. #450×C73C22semidirect
152. #450×C73C22semidirect
153. #450×C73C22semidirect
154. #450×C73C22semidirect
155. #450×C73C22semidirect
156. #450×C73C22semidirect
157. #450×C73C22semidirect
158. #450×C73C22semidirect
159. #450×C73C22semidirect
160. #449×C73C22semidirect
161. #449×C73C22semidirect
162. #449×C73C22semidirect
163. #449×C73C22semidirect
164. #449×C73C22semidirect
165. #448×C73C22semidirect
166. #448×C73C22semidirect
167. #448×C73C22semidirect
169. #447×C73C22semidirect
170. #447×C73C22semidirect
171. #447×C73C22semidirect
172. #447×C73C22semidirect
173. #442×C73C22semidirect
174. #440×C73C22semidirect
175. #440×C73C22semidirect
176. #440×C73C22semidirect
177. C4×SD16×C73C22semidirect
178. C4×SD16×C73C22semidirect
179. C4×SD16×C73C22semidirect
180. C4×D8×C73C22semidirect
181. #436×C73C22semidirect
182. #436×C73C22semidirect
183. #435×C73C22semidirect
184. #435×C73C22semidirect
185. #435×C73C22semidirect
186. #435×C73C22semidirect
187. C8×D4×C73C22semidirect
188. C8×D4×C73C22semidirect
189. #433×C73C22semidirect
190. #433×C73C22semidirect
191. #418×C73C22semidirect
192. #418×C73C22semidirect
193. #418×C73C22semidirect
194. #417×C73C22semidirect
195. #416×C73C22semidirect
196. C2×#102×C73C22semidirect
197. C2×#102×C73C22semidirect
198. C2×#102×C73C22semidirect
199. #408×C73C22semidirect
200. #408×C73C22semidirect
201. #407×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
212. C2×#41×C73C23semidirect
214. C22×Q8×C73C23semidirect
241. C2×Q16×C73C23semidirect
242. C2×Q16×C73C23semidirect
243. C2×Q16×C73C23semidirect
259. C2×SD16×C73C23semidirect
260. C2×SD16×C73C23semidirect
261. C2×SD16×C73C23semidirect
262. C2×SD16×C73C23semidirect
267. C2×D8×C73C23semidirect
270. C2×M16×C73C23semidirect
271. C2×M16×C73C23semidirect
274. C22×C8×C73C23semidirect
275. C22×C8×C73C23semidirect
278. C4⋊Q8×C73C23semidirect
279. C4⋊Q8×C73C23semidirect
294. #125×C73C23semidirect
303. #124×C73C23semidirect
339. C22⋊Q8×C73C23semidirect
340. C22⋊Q8×C73C23semidirect
341. C22⋊Q8×C73C23semidirect
369. #121×C73C23semidirect
391. C4×Q8×C73C23semidirect
392. C4×Q8×C73C23semidirect
393. C4×Q8×C73C23semidirect
413. C4×D4×C73C23semidirect
418. #117×C73C23semidirect
422. C2×C4⋊C4×C73C23semidirect
430. #107×C73C23semidirect
431. #107×C73C23semidirect
432. #107×C73C23semidirect
433. #107×C73C23semidirect
434. #106×C73C23semidirect
435. #106×C73C23semidirect
436. #106×C73C23semidirect
437. #106×C73C23semidirect
438. C4⋊C8×C73C23semidirect
439. C4⋊C8×C73C23semidirect
440. C4⋊C8×C73C23semidirect
441. C4⋊C8×C73C23semidirect
442. #103×C73C23semidirect
443. #103×C73C23semidirect
444. #103×C73C23semidirect
445. #103×C73C23semidirect
446. #103×C73C23semidirect
447. #103×C73C23semidirect
448. #103×C73C23semidirect
449. #103×C73C23semidirect
450. #103×C73C23semidirect
451. #103×C73C23semidirect
468. #102×C73C23semidirect
469. #102×C73C23semidirect
470. #102×C73C23semidirect
471. #102×C73C23semidirect
472. #102×C73C23semidirect
473. #102×C73C23semidirect
482. C22⋊C8×C73C23semidirect
483. C22⋊C8×C73C23semidirect
484. C22⋊C8×C73C23semidirect
485. C22⋊C8×C73C23semidirect
486. #97×C73C23semidirect
487. #97×C73C23semidirect
488. C4×C8×C73C23semidirect
489. C4×C8×C73C23semidirect
956. #61610C73direct (N × H)
971. #3541C2×C73semidirect
972. #3484C2×C73semidirect
973. #3324C2×C73semidirect
974. #3323C2×C73semidirect
975. #3318C2×C73semidirect
976. #3314C2×C73semidirect
977. #3311C2×C73semidirect
978. #3310C2×C73semidirect
979. #3297C2×C73semidirect
980. #3295C2×C73semidirect
981. #3282C2×C73semidirect
982. D4×SD16C2×C73semidirect
983. #3275C2×C73semidirect
984. #3272C2×C73semidirect
985. #3267C2×C73semidirect
986. #3266C2×C73semidirect
987. #3265C2×C73semidirect
988. #3265C2×C73semidirect
989. #3224C2×C73semidirect
990. #3222C2×C73semidirect
991. #3200C2×C73semidirect
992. #3198C2×C73semidirect
993. #3196C2×C73semidirect
994. #3191C2×C73semidirect
995. #3123C2×C73semidirect
996. #3118C2×C73semidirect
997. #3012C2×C73semidirect
998. #3009C2×C73semidirect
999. #3003C2×C73semidirect
1000. C2×#450C2×C73semidirect
1001. #2976C2×C73semidirect
1002. C73#61610direct (N × H)
1005. C2×#137C22×C73semidirect
1006. C2×AGL(1,ℤ/8)C22×C73semidirect
1007. C2×AGL(1,ℤ/8)C22×C73semidirect
1008. C2×AGL(1,ℤ/8)C22×C73semidirect
1009. C2×#135C22×C73semidirect
1010. C22×SD16C22×C73semidirect
1011. C22×SD16C22×C73semidirect
1012. C22×SD16C22×C73semidirect
1015. #556C22×C73semidirect
1017. #554C22×C73semidirect
1019. #553C22×C73semidirect
1020. #552C22×C73semidirect
1021. D4×Q8C22×C73semidirect
1022. #548C22×C73semidirect
1023. #548C22×C73semidirect
1024. #547C22×C73semidirect
1038. #542C22×C73semidirect
1039. #541C22×C73semidirect
1043. #537C22×C73semidirect
1044. #536C22×C73semidirect
1051. #525C22×C73semidirect
1052. C2×C22⋊Q8C22×C73semidirect
1056. #497C22×C73semidirect
1057. #496C22×C73semidirect
1058. #495C22×C73semidirect
1059. #492C22×C73semidirect
1060. #490C22×C73semidirect
1061. #489C22×C73semidirect
1062. #488C22×C73semidirect
1063. #486C22×C73semidirect
1064. #485C22×C73semidirect
1065. #485C22×C73semidirect
1066. #485C22×C73semidirect
1067. #485C22×C73semidirect
1068. #484C22×C73semidirect
1069. #482C22×C73semidirect
1070. #482C22×C73semidirect
1071. #482C22×C73semidirect
1072. #482C22×C73semidirect
1073. #481C22×C73semidirect
1074. #481C22×C73semidirect
1075. #480C22×C73semidirect
1076. #478C22×C73semidirect
1077. #478C22×C73semidirect
1078. #476C22×C73semidirect
1079. #474C22×C73semidirect
1080. #470C22×C73semidirect
1081. #470C22×C73semidirect
1082. #469C22×C73semidirect
1083. #468C22×C73semidirect
1084. #468C22×C73semidirect
1085. #468C22×C73semidirect
1086. #468C22×C73semidirect
1087. #468C22×C73semidirect
1088. #467C22×C73semidirect
1089. #466C22×C73semidirect
1090. #466C22×C73semidirect
1091. #465C22×C73semidirect
1092. #465C22×C73semidirect
1093. #465C22×C73semidirect
1094. #465C22×C73semidirect
1095. #465C22×C73semidirect
1096. #464C22×C73semidirect
1097. #464C22×C73semidirect
1098. #464C22×C73semidirect
1099. #463C22×C73semidirect
1100. #463C22×C73semidirect
1101. #463C22×C73semidirect
1102. #461C22×C73semidirect
1103. #461C22×C73semidirect
1104. #460C22×C73semidirect
1105. #460C22×C73semidirect
1106. #460C22×C73semidirect
1107. #459C22×C73semidirect
1108. #452C22×C73semidirect
1109. #452C22×C73semidirect
1110. #452C22×C73semidirect
1111. #452C22×C73semidirect
1112. #452C22×C73semidirect
1113. #452C22×C73semidirect
1114. #452C22×C73semidirect
1115. #451C22×C73semidirect
1119. #450C22×C73semidirect
1120. #450C22×C73semidirect
1121. #450C22×C73semidirect
1122. #450C22×C73semidirect
1123. #450C22×C73semidirect
1124. #450C22×C73semidirect
1125. #450C22×C73semidirect
1126. #450C22×C73semidirect
1127. #450C22×C73semidirect
1128. #450C22×C73semidirect
1129. #450C22×C73semidirect
1130. #450C22×C73semidirect
1131. #449C22×C73semidirect
1132. #449C22×C73semidirect
1133. #449C22×C73semidirect
1134. #449C22×C73semidirect
1135. #449C22×C73semidirect
1136. #448C22×C73semidirect
1137. #448C22×C73semidirect
1138. #448C22×C73semidirect
1140. #447C22×C73semidirect
1141. #447C22×C73semidirect
1142. #447C22×C73semidirect
1143. #447C22×C73semidirect
1144. #442C22×C73semidirect
1145. #440C22×C73semidirect
1146. #440C22×C73semidirect
1147. #440C22×C73semidirect
1148. C4×SD16C22×C73semidirect
1149. C4×SD16C22×C73semidirect
1150. C4×SD16C22×C73semidirect
1151. C4×D8C22×C73semidirect
1152. #436C22×C73semidirect
1153. #436C22×C73semidirect
1154. #435C22×C73semidirect
1155. #435C22×C73semidirect
1156. #435C22×C73semidirect
1157. #435C22×C73semidirect
1158. C8×D4C22×C73semidirect
1159. C8×D4C22×C73semidirect
1160. #433C22×C73semidirect
1161. #433C22×C73semidirect
1162. #418C22×C73semidirect
1163. #418C22×C73semidirect
1164. #418C22×C73semidirect
1165. #417C22×C73semidirect
1166. #416C22×C73semidirect
1167. C2×#102C22×C73semidirect
1168. C2×#102C22×C73semidirect
1169. C2×#102C22×C73semidirect
1170. #408C22×C73semidirect
1171. #408C22×C73semidirect
1172. #407C22×C73semidirect
1173. C2×C22⋊C8C22×C73semidirect
1183. C2×#41C23×C73semidirect
1185. C22×Q8C23×C73semidirect
1212. C2×Q16C23×C73semidirect
1213. C2×Q16C23×C73semidirect
1214. C2×Q16C23×C73semidirect
1230. C2×SD16C23×C73semidirect
1231. C2×SD16C23×C73semidirect
1232. C2×SD16C23×C73semidirect
1233. C2×SD16C23×C73semidirect
1238. C2×D8C23×C73semidirect
1241. C2×M16C23×C73semidirect
1242. C2×M16C23×C73semidirect
1245. C22×C8C23×C73semidirect
1246. C22×C8C23×C73semidirect
1249. C4⋊Q8C23×C73semidirect
1250. C4⋊Q8C23×C73semidirect
1265. #125C23×C73semidirect
1274. #124C23×C73semidirect
1310. C22⋊Q8C23×C73semidirect
1311. C22⋊Q8C23×C73semidirect
1312. C22⋊Q8C23×C73semidirect
1340. #121C23×C73semidirect
1362. C4×Q8C23×C73semidirect
1363. C4×Q8C23×C73semidirect
1364. C4×Q8C23×C73semidirect
1384. C4×D4C23×C73semidirect
1389. #117C23×C73semidirect
1393. C2×C4⋊C4C23×C73semidirect
1401. #107C23×C73semidirect
1402. #107C23×C73semidirect
1403. #107C23×C73semidirect
1404. #107C23×C73semidirect
1405. #106C23×C73semidirect
1406. #106C23×C73semidirect
1407. #106C23×C73semidirect
1408. #106C23×C73semidirect
1409. C4⋊C8C23×C73semidirect
1410. C4⋊C8C23×C73semidirect
1411. C4⋊C8C23×C73semidirect
1412. C4⋊C8C23×C73semidirect
1413. #103C23×C73semidirect
1414. #103C23×C73semidirect
1415. #103C23×C73semidirect
1416. #103C23×C73semidirect
1417. #103C23×C73semidirect
1418. #103C23×C73semidirect
1419. #103C23×C73semidirect
1420. #103C23×C73semidirect
1421. #103C23×C73semidirect
1422. #103C23×C73semidirect
1439. #102C23×C73semidirect
1440. #102C23×C73semidirect
1441. #102C23×C73semidirect
1442. #102C23×C73semidirect
1443. #102C23×C73semidirect
1444. #102C23×C73semidirect
1453. C22⋊C8C23×C73semidirect
1454. C22⋊C8C23×C73semidirect
1455. C22⋊C8C23×C73semidirect
1456. C22⋊C8C23×C73semidirect
1457. #97C23×C73semidirect
1458. #97C23×C73semidirect
1459. C4×C8C23×C73semidirect
1460. C4×C8C23×C73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C73×#35412
C73×#34842
C73×#33242
C73×#33232
C73×#33182
C73×#33142
C73×#33112
C73×#33102
C73×#32972
C73×#32952
C73×#32822
D4×SD16×C732
C73×#32752
C73×#32722
C73×#32672
C73×#32662
C73×#32652
C73×#32242
C73×#32222
C73×#32002
C73×#31982
C73×#31962
C73×#31912
C73×#31232
C73×#31182
C73×#30122
C73×#30092
C73×#30032
C2×#450×C732
C73×#29762
#6161073