Finite Group Databasebeta

← C73×#61535 #32970939

Subgroups — C73×#61535 #32970939

Order 18688.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3524C211yesmaximal, characteristic, complemented
2C73×#3513C211yesmaximal, characteristic, complemented
3C73×#3403C211yesmaximal, characteristic, complemented
4C73×#3388C211yesmaximal, characteristic, complemented
5C73×#3365C211yesmaximal, characteristic, complemented
6C73×#3361C211yesmaximal, characteristic, complemented
7C73×#3348C211yesmaximal, characteristic, complemented
8C73×#3343C211yesmaximal, characteristic, complemented
9C73×#3339C211yesmaximal, characteristic, complemented
10C73×#3332C211yesmaximal, characteristic, complemented
11C73×#3327C211yesmaximal, characteristic, complemented
12C73×#3326C211yesmaximal, characteristic, complemented
13C73×#3325C211yesmaximal, characteristic, complemented
14C73×#3323C211yesmaximal, characteristic, complemented
15C73×#3322C211yesmaximal, characteristic, complemented
16C73×#3282C211yesmaximal, characteristic, complemented
17C73×#3268C211yesmaximal, characteristic, complemented
18C73×#3265C211yesmaximal, characteristic, complemented
19C73×#3183C211yesmaximal, characteristic, complemented
20C73×#3179C211yesmaximal, characteristic, complemented
21C73×#3179C211yesmaximal, characteristic, complemented
22C73×#3125C211yesmaximal, characteristic, complemented
23C73×#3122C211yesmaximal, characteristic, complemented
24C73×#3121C211yesmaximal, characteristic, complemented
25C73×#3119C211yesmaximal, characteristic, complemented
26C73×#3105C211yesmaximal, characteristic, complemented
27C73×#3102C211yesmaximal, characteristic, complemented
28C73×#2969C211yesmaximal, characteristic, complemented
29C73×#2951C211yesmaximal, characteristic, complemented
30C73×#2949C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C73C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
33C2×#135×C73C2211yescharacteristic
34C22×SD16×C73C2211yescharacteristic
35#559×C73—21no—
36#559×C73C2211yescharacteristic
37#559×C73C2211yescharacteristic, complemented
38#557×C73C2211yescharacteristic, complemented
39#555×C73—21no—
40#555×C73C2211yescharacteristic
41#554×C73C2211yescharacteristic
42#553×C73—21no—
43#553×C73—21no—
44#553×C73C2211yescharacteristic
45#553×C73C2211yescharacteristic, complemented
46#552×C73—21no—
47#552×C73C2211yescharacteristic
48#552×C73C2211yescharacteristic, complemented
49#551×C73—21no—
50#551×C73—21no—
51#550×C73C2211yescharacteristic, complemented
52#548×C73C2211yescharacteristic
53#548×C73C2211yescharacteristic, complemented
54#547×C73C2211yescharacteristic
55#546×C73—21no—
56#546×C73C2211yescharacteristic
57#546×C73C2211yescharacteristic
58D42×C73C2211yescharacteristic
59#542×C73—21no—
60#542×C73C2211yescharacteristic
61#542×C73C2211yescharacteristic, complemented
62#540×C73—21no—
63#540×C73C2211yescharacteristic
64#540×C73C2211yescharacteristic, complemented
65#539×C73—21no—
66#538×C73—21no—
67#529×C73—21no—
68#529×C73—21no—
69#529×C73C2211yescharacteristic
70#529×C73C2211yescharacteristic
71#529×C73C2211yescharacteristic, complemented
72#525×C73—21no—
73C2×#123×C73—21no—
74#520×C73C2211yescharacteristic
75#520×C73C2211yescharacteristic, complemented
76#519×C73C2211yescharacteristic, complemented
77#518×C73C2211yescharacteristic
78C4×#41×C73C2211yescharacteristic, complemented
79C2×C4×D4×C73C2211yescharacteristic
80#501×C73C2211yescharacteristic, complemented
81#501×C73C2211yescharacteristic, complemented
82#499×C73C2211yescharacteristic, complemented
83#496×C73C2211yescharacteristic
84#496×C73C2211yescharacteristic, complemented
85#495×C73C2211yescharacteristic, complemented
86#488×C73C2211yescharacteristic, complemented
87#488×C73C2211yescharacteristic, complemented
88#488×C73C2211yescharacteristic, complemented
89#488×C73C2211yescharacteristic, complemented
90#486×C73C2211yescharacteristic
91#486×C73C2211yescharacteristic, complemented
92#485×C73C2211yescharacteristic, complemented
93#485×C73C2211yescharacteristic, complemented
94#484×C73C2211yescharacteristic, complemented
95#483×C73C2211yescharacteristic, complemented
96#482×C73C2211yescharacteristic
97#482×C73C2211yescharacteristic
98#482×C73C2211yescharacteristic, complemented
99#482×C73C2211yescharacteristic, complemented
100#481×C73C2211yescharacteristic, complemented
101#481×C73C2211yescharacteristic, complemented
102#481×C73C2211yescharacteristic, complemented
103#480×C73C2211yescharacteristic, complemented
104#479×C73C2211yescharacteristic, complemented
105#479×C73C2211yescharacteristic, complemented
106#478×C73C2211yescharacteristic
107#478×C73C2211yescharacteristic
108#478×C73C2211yescharacteristic, complemented
109#478×C73C2211yescharacteristic, complemented
110#478×C73C2211yescharacteristic, complemented
111#478×C73C2211yescharacteristic, complemented
112#477×C73C2211yescharacteristic, complemented
113#476×C73C2211yescharacteristic
114#475×C73C2211yescharacteristic, complemented
115#475×C73C2211yescharacteristic, complemented
116#470×C73C2211yescharacteristic, complemented
117#469×C73C2211yescharacteristic
118#469×C73C2211yescharacteristic
119#469×C73C2211yescharacteristic, complemented
120#468×C73C2211yescharacteristic
121#468×C73C2211yescharacteristic, complemented
122#468×C73C2211yescharacteristic, complemented
123#468×C73C2211yescharacteristic, complemented
124#466×C73C2211yescharacteristic
125#466×C73C2211yescharacteristic, complemented
126#465×C73C2211yescharacteristic, complemented
127#465×C73C2211yescharacteristic, complemented
128#464×C73C2211yescharacteristic, complemented
129#464×C73C2211yescharacteristic, complemented
130#464×C73C2211yescharacteristic, complemented
131#464×C73C2211yescharacteristic, complemented
132#463×C73C2211yescharacteristic
133#463×C73C2211yescharacteristic
134#463×C73C2211yescharacteristic, complemented
135#463×C73C2211yescharacteristic, complemented
136#460×C73C2211yescharacteristic
137#459×C73C2211yescharacteristic
138#459×C73C2211yescharacteristic
139#459×C73C2211yescharacteristic, complemented
140#452×C73C2211yescharacteristic
141#452×C73C2211yescharacteristic, complemented
142#451×C73C2211yescharacteristic, complemented
143#450×C73C2211yescharacteristic
144#449×C73C2211yescharacteristic
145#449×C73C2211yescharacteristic
146#449×C73C2211yescharacteristic, complemented
147#449×C73C2211yescharacteristic, complemented
148#448×C73C2211yescharacteristic
149#447×C73C2211yescharacteristic
150#447×C73C2211yescharacteristic
151#447×C73C2211yescharacteristic
152#446×C73C2211yescharacteristic, complemented
153C8×Q8×C73C2211yescharacteristic, complemented
154#442×C73C2211yescharacteristic
155#442×C73C2211yescharacteristic, complemented
156#442×C73C2211yescharacteristic, complemented
157#441×C73C2211yescharacteristic, complemented
158#440×C73C2211yescharacteristic
159#440×C73C2211yescharacteristic
160#440×C73C2211yescharacteristic
161#440×C73C2211yescharacteristic, complemented
162#440×C73C2211yescharacteristic, complemented
163#440×C73C2211yescharacteristic, complemented
164#440×C73C2211yescharacteristic, complemented
165#440×C73C2211yescharacteristic, complemented
166C4×Q16×C73C2211yescharacteristic, complemented
167C4×Q16×C73C2211yescharacteristic, complemented
168C4×SD16×C73C2211yescharacteristic
169C4×SD16×C73C2211yescharacteristic
170C4×SD16×C73C2211yescharacteristic
171C4×SD16×C73C2211yescharacteristic, complemented
172C4×SD16×C73C2211yescharacteristic, complemented
173C4×SD16×C73C2211yescharacteristic, complemented
174C4×SD16×C73C2211yescharacteristic, complemented
175C4×SD16×C73C2211yescharacteristic, complemented
176C4×D8×C73C2211yescharacteristic
177C4×D8×C73C2211yescharacteristic
178C4×D8×C73C2211yescharacteristic
179C4×D8×C73C2211yescharacteristic, complemented
180C4×D8×C73C2211yescharacteristic, complemented
181C4×D8×C73C2211yescharacteristic, complemented
182#436×C73C2211yescharacteristic
183#436×C73C2211yescharacteristic, complemented
184#436×C73C2211yescharacteristic, complemented
185#435×C73C2211yescharacteristic
186#435×C73C2211yescharacteristic, complemented
187C8×D4×C73C2211yescharacteristic, complemented
188#433×C73C2211yescharacteristic, complemented
189#433×C73C2211yescharacteristic, complemented
190#431×C73C2211yescharacteristic, complemented
191#428×C73C2211yescharacteristic, complemented
192#427×C73C2211yescharacteristic, complemented
193C2×#107×C73C2211yescharacteristic, complemented
194#419×C73C2211yescharacteristic, complemented
195#418×C73C2211yescharacteristic
196#418×C73C2211yescharacteristic
197#417×C73C2211yescharacteristic
198#417×C73C2211yescharacteristic, complemented
199#417×C73C2211yescharacteristic, complemented
200#405×C73C2211yescharacteristic, complemented
201#405×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#41×C73—21no—
204C2×#41×C73C2311yescharacteristic
205C2×#41×C73C2311yescharacteristic
206C2×#41×C73C2311yescharacteristic
207C22×Q8×C73C2311yescharacteristic
208C22×D4×C73—21no—
209C22×D4×C73C2311yescharacteristic
210C22×D4×C73C2311yescharacteristic
211C23×C4×C73—21no—
212AGL(1,ℤ/8)×C73—24no—
213#135×C73—24no—
214C2×Q16×C73C2311yescharacteristic
215C2×Q16×C73C2311yescharacteristic
216C2×SD16×C73—24no—
217C2×SD16×C73C2311yescharacteristic
218C2×SD16×C73C2311yescharacteristic
219C2×SD16×C73C2311yescharacteristic
220C2×SD16×C73C2311yescharacteristic
221C2×SD16×C73C2311yescharacteristic
222C2×SD16×C73C2311yescharacteristic
223C2×SD16×C73C2311yescharacteristic
224C2×SD16×C73C2311yescharacteristic
225C2×D8×C73C2311yescharacteristic
226C2×D8×C73C2311yescharacteristic
227C2×D8×C73C2311yescharacteristic
228C2×D8×C73C2311yescharacteristic
229C2×D8×C73C2311yescharacteristic
230C2×D8×C73C2311yescharacteristic
231C2×M16×C73C2311yescharacteristic
232C2×M16×C73C2311yescharacteristic
233C2×M16×C73C2311yescharacteristic
234C2×M16×C73C2311yescharacteristic
235C22×C8×C73C2311yescharacteristic
236C22×C8×C73C2311yescharacteristic
237C4⋊Q8×C73—21no—
238C4⋊Q8×C73C2311yescharacteristic
239C4⋊Q8×C73C2311yescharacteristic
240#127×C73—21no—
241#127×C73C2311yescharacteristic
242#127×C73C2311yescharacteristic
243#126×C73—21no—
244#126×C73—21no—
245#126×C73—21no—
246#126×C73—21no—
247#126×C73—21no—
248#126×C73—21no—
249#126×C73—21no—
250#126×C73—21no—
251#126×C73D411yescharacteristic
252#126×C73D411yescharacteristic
253#125×C73—21no—
254#125×C73—21no—
255#125×C73—21no—
256#125×C73—21no—
257#125×C73D411yescharacteristic
258#125×C73C2311yescharacteristic
259#125×C73C2311yescharacteristic
260#125×C73C2311yescharacteristic
261#125×C73C2311yescharacteristic
262#124×C73—21no—
263#124×C73—21no—
264#124×C73—21no—
265#124×C73—21no—
266#124×C73—21no—
267#124×C73—21no—
268#124×C73—21no—
269#124×C73—21no—
270#124×C73D411yescharacteristic
271#124×C73C2311yescharacteristic
272#124×C73C2311yescharacteristic
273#124×C73C2311yescharacteristic
274#124×C73C2311yescharacteristic
275#123×C73—21no—
276#123×C73—21no—
277#123×C73—21no—
278#123×C73—21no—
279#123×C73—21no—
280#123×C73—21no—
281#123×C73—21no—
282#123×C73—21no—
283#123×C73—21no—
284#123×C73—21no—
285#123×C73—21no—
286#123×C73—21no—
287#123×C73—21no—
288#123×C73—21no—
289#123×C73—21no—
290#123×C73—21no—
291#123×C73—21no—
292#123×C73—21no—
293#123×C73—21no—
294#123×C73—21no—
295#123×C73D411yescharacteristic
296#123×C73D411yescharacteristic
297C22⋊Q8×C73—21no—
298C22⋊Q8×C73—21no—
299C22⋊Q8×C73—21no—
300C22⋊Q8×C73—21no—
301C22⋊Q8×C73—21no—
302C22⋊Q8×C73—21no—
303C22⋊Q8×C73—21no—
304C22⋊Q8×C73—21no—
305C22⋊Q8×C73D411yescharacteristic
306C22⋊Q8×C73C2311yescharacteristic
307C22⋊Q8×C73C2311yescharacteristic
308C22⋊Q8×C73C2311yescharacteristic
309C22⋊Q8×C73C2311yescharacteristic
310#121×C73—21no—
311#121×C73—21no—
312#121×C73—21no—
313#121×C73—21no—
314#121×C73—21no—
315#121×C73—21no—
316#121×C73—21no—
317#121×C73—21no—
318#121×C73—21no—
319#121×C73—21no—
320#121×C73—21no—
321#121×C73—21no—
322#121×C73—21no—
323#121×C73—21no—
324#121×C73D411yescharacteristic
325#121×C73C2311yescharacteristic
326#121×C73C2311yescharacteristic
327#121×C73C2311yescharacteristic
328#121×C73C2311yescharacteristic
329#121×C73C2311yescharacteristic
330#121×C73C2311yescharacteristic
331#121×C73C2311yescharacteristic
332#121×C73C2311yescharacteristic
333#120×C73—21no—
334#120×C73—21no—
335#120×C73—21no—
336#120×C73—21no—
337C4×Q8×C73—21no—
338C4×Q8×C73—21no—
339C4×Q8×C73—21no—
340C4×Q8×C73C2311yescharacteristic
341C4×Q8×C73C2311yescharacteristic
342C4×Q8×C73C2311yescharacteristic
343C4×Q8×C73C2311yescharacteristic
344C4×Q8×C73C2311yescharacteristic
345C4×Q8×C73C2311yescharacteristic
346C4×Q8×C73C2311yescharacteristic
347C4×Q8×C73C2311yescharacteristic
348C4×Q8×C73C2311yescharacteristic
349C4×D4×C73—21no—
350C4×D4×C73—21no—
351C4×D4×C73—21no—
352C4×D4×C73—21no—
353C4×D4×C73—21no—
354C4×D4×C73—21no—
355C4×D4×C73—21no—
356C4×D4×C73—21no—
357C4×D4×C73—21no—
358C4×D4×C73—21no—
359C4×D4×C73—21no—
360C4×D4×C73—21no—
361C4×D4×C73—21no—
362C4×D4×C73—21no—
363C4×D4×C73—21no—
364C4×D4×C73—21no—
365C4×D4×C73—21no—
366C4×D4×C73—21no—
367C4×D4×C73—21no—
368C4×D4×C73C2311yescharacteristic
369C4×D4×C73C2311yescharacteristic
370C4×D4×C73C2311yescharacteristic
371C4×D4×C73C2311yescharacteristic
372C4×D4×C73C2311yescharacteristic
373C4×D4×C73C2311yescharacteristic
374C4×D4×C73C2311yescharacteristic
375C4×D4×C73C2311yescharacteristic
376C4×D4×C73C2311yescharacteristic
377C4×D4×C73C2311yescharacteristic
378C4×D4×C73C2311yescharacteristic
379C4×D4×C73C2311yescharacteristic
380C4×D4×C73C2311yescharacteristic
381C4×D4×C73C2311yescharacteristic
382C4×D4×C73C2311yescharacteristic
383#117×C73—21no—
384#117×C73—21no—
385#117×C73—21no—
386#117×C73—21no—
387#117×C73—21no—
388#117×C73—21no—
389#117×C73—21no—
390#117×C73—21no—
391#117×C73—21no—
392#117×C73—21no—
393#117×C73C2311yescharacteristic
394#117×C73C2311yescharacteristic
395#117×C73C2311yescharacteristic
396#117×C73C2311yescharacteristic
397#117×C73C2311yescharacteristic
398C2×C4⋊C4×C73—21no—
399C2×C4⋊C4×C73—21no—
400C2×C4⋊C4×C73—21no—
401C2×C4⋊C4×C73C2311yescharacteristic
402C2×C4⋊C4×C73C2311yescharacteristic
403C2×C4⋊C4×C73C2311yescharacteristic
404C2×C22⋊C4×C73—21no—
405C2×C22⋊C4×C73—21no—
406C2×C22⋊C4×C73—21no—
407C2×C22⋊C4×C73—21no—
408C2×C22⋊C4×C73—21no—
409C2×C42×C73—21no—
410C2×C42×C73C2311yescharacteristic
411#107×C73C2311yescharacteristic
412#107×C73C2311yescharacteristic
413#107×C73C2311yescharacteristic
414#107×C73C2311yescharacteristic
415#107×C73C2311yescharacteristic
416#107×C73C2311yescharacteristic
417#107×C73C2311yescharacteristic
418#107×C73C2311yescharacteristic
419#106×C73C2311yescharacteristic
420#106×C73C2311yescharacteristic
421#106×C73C2311yescharacteristic
422#106×C73C2311yescharacteristic
423#106×C73C2311yescharacteristic
424#106×C73C2311yescharacteristic
425#106×C73C2311yescharacteristic
426#106×C73C2311yescharacteristic
427C4⋊C8×C73C2311yescharacteristic
428C4⋊C8×C73C2311yescharacteristic
429C4⋊C8×C73C2311yescharacteristic
430C4⋊C8×C73C2311yescharacteristic
431C4⋊C8×C73C2311yescharacteristic
432C4⋊C8×C73C2311yescharacteristic
433#103×C73C2311yescharacteristic
434#103×C73C2311yescharacteristic
435#103×C73C2311yescharacteristic
436#103×C73C2311yescharacteristic
437#103×C73C2311yescharacteristic
438#103×C73C2311yescharacteristic
439#103×C73C2311yescharacteristic
440#103×C73C2311yescharacteristic
441#103×C73C2311yescharacteristic
442#103×C73C2311yescharacteristic
443#103×C73C2311yescharacteristic
444#103×C73C2311yescharacteristic
445#102×C73C2311yescharacteristic
446#102×C73C2311yescharacteristic
447#102×C73C2311yescharacteristic
448#102×C73C2311yescharacteristic
449#102×C73C2311yescharacteristic
450#102×C73C2311yescharacteristic
451#102×C73C2311yescharacteristic
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
465C22⋊C8×C73C2311yescharacteristic
466C22⋊C8×C73C2311yescharacteristic
467C22⋊C8×C73C2311yescharacteristic
468C22⋊C8×C73C2311yescharacteristic
469C22⋊C8×C73C2311yescharacteristic
470C22⋊C8×C73C2311yescharacteristic
471#97×C73C2311yescharacteristic
472#97×C73C2311yescharacteristic
473#97×C73C2311yescharacteristic
474#97×C73C2311yescharacteristic
475C4×C8×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C4×C8×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C24×C73—21no—
482C24×C73—21no—
483#41×C73—22no—
484#41×C73—22no—
485#41×C73—22no—
486#41×C73—41no—
487#41×C73—41no—
488#41×C73—41no—
489#41×C73—82no—
490C2×Q8×C73—21no—
491C2×Q8×C73—21no—
492C2×Q8×C73—21no—
493C2×Q8×C73—22no—
494C2×Q8×C73—41no—
495C2×Q8×C73C2×D411yescharacteristic
496C2×Q8×C73C2411yescharacteristic
497C2×Q8×C73C2411yescharacteristic
498C2×Q8×C73C2411yescharacteristic
499C2×D4×C73—22no—
500C2×D4×C73—22no—
501C2×D4×C73—21no—
502C2×D4×C73—21no—
503C2×D4×C73—21no—
504C2×D4×C73—21no—
505C2×D4×C73—21no—
506C2×D4×C73—21no—
507C2×D4×C73—21no—
508C2×D4×C73—21no—
509C2×D4×C73—21no—
510C2×D4×C73—21no—
511C2×D4×C73—21no—
512C2×D4×C73—21no—
513C2×D4×C73—21no—
514C2×D4×C73—21no—
515C2×D4×C73—21no—
516C2×D4×C73—21no—
517C2×D4×C73—21no—
518C2×D4×C73—41no—
519C2×D4×C73—41no—
520C2×D4×C73—82no—
521C2×D4×C73C2×D411yescharacteristic
522C2×D4×C73C2×D411yescharacteristic
523C2×D4×C73C2×D411yescharacteristic
524C2×D4×C73C2411yescharacteristic
525C2×D4×C73C2411yescharacteristic
526C2×D4×C73C2411yescharacteristic
527C2×D4×C73C2411yescharacteristic
528C2×D4×C73C2411yescharacteristic
529C22×C4×C73—21no—
530C22×C4×C73—21no—
531C22×C4×C73—21no—
532C22×C4×C73—21no—
533C22×C4×C73—21no—
534C22×C4×C73—21no—
535C22×C4×C73—21no—
536C22×C4×C73—21no—
537C22×C4×C73—21no—
538C22×C4×C73—21no—
539C22×C4×C73—21no—
540C22×C4×C73—21no—
541C22×C4×C73—21no—
542C22×C4×C73—21no—
543C22×C4×C73—21no—
544C22×C4×C73—21no—
545C22×C4×C73—21no—
546C22×C4×C73—21no—
547C22×C4×C73—21no—
548C22×C4×C73—82no—
549C22×C4×C73C2×D411yescharacteristic
550C22×C4×C73C2×D411yescharacteristic
551C22×C4×C73C2411yescharacteristic
552C22×C4×C73C2411yescharacteristic
553C22×C4×C73C2411yescharacteristic
554Q16×C73—22no—
555Q16×C73—41no—
556SD16×C73—22no—
557SD16×C73—22no—
558SD16×C73—22no—
559SD16×C73—22no—
560SD16×C73—22no—
561SD16×C73—41no—
562SD16×C73—41no—
563SD16×C73#4114yescomplemented
564D8×C73—22no—
565D8×C73—22no—
566D8×C73—22no—
567D8×C73—41no—
568D8×C73—41no—
569D8×C73—41no—
570M16×C73—22no—
571M16×C73—41no—
572M16×C73—41no—
573M16×C73—41no—
574C2×C8×C73—22no—
575C2×C8×C73—22no—
576C2×C8×C73C2411yescharacteristic
577C2×C8×C73C2411yescharacteristic
578C2×C8×C73C2411yescharacteristic
579C2×C8×C73C2411yescharacteristic
580C2×C8×C73C2411yescharacteristic
581C2×C8×C73C2411yescharacteristic
582C2×C8×C73C2411yescharacteristic
583C2×C8×C73C2411yescharacteristic
584C4⋊C4×C73—21no—
585C4⋊C4×C73—21no—
586C4⋊C4×C73—21no—
587C4⋊C4×C73—21no—
588C4⋊C4×C73—21no—
589C4⋊C4×C73—21no—
590C4⋊C4×C73—21no—
591C4⋊C4×C73—21no—
592C4⋊C4×C73—21no—
593C4⋊C4×C73—21no—
594C4⋊C4×C73—21no—
595C4⋊C4×C73—21no—
596C4⋊C4×C73—21no—
597C4⋊C4×C73—21no—
598C4⋊C4×C73—21no—
599C4⋊C4×C73—21no—
600C4⋊C4×C73—21no—
601C4⋊C4×C73—21no—
602C4⋊C4×C73—21no—
603C4⋊C4×C73—21no—
604C4⋊C4×C73—21no—
605C4⋊C4×C73—21no—
606C4⋊C4×C73—21no—
607C4⋊C4×C73—21no—
608C4⋊C4×C73—21no—
609C4⋊C4×C73C2×D411yescharacteristic
610C4⋊C4×C73C2×D411yescharacteristic
611C4⋊C4×C73C2×D411yescharacteristic
612C4⋊C4×C73C2×D411yescharacteristic
613C4⋊C4×C73C2×D411yescharacteristic
614C4⋊C4×C73C2×D411yescharacteristic
615C4⋊C4×C73C2×D411yescharacteristic
616C4⋊C4×C73C2×D411yescharacteristic
617C4⋊C4×C73C2×D411yescharacteristic
618C4⋊C4×C73C2×D411yescharacteristic
619C4⋊C4×C73C2411yescharacteristic
620C4⋊C4×C73C2411yescharacteristic
621C4⋊C4×C73C2411yescharacteristic
622C4⋊C4×C73C2411yescharacteristic
623C4⋊C4×C73C2411yescharacteristic
624C4⋊C4×C73C2411yescharacteristic
625C4⋊C4×C73C2411yescharacteristic
626C4⋊C4×C73C2411yescharacteristic
627C22⋊C4×C73—21no—
628C22⋊C4×C73—21no—
629C22⋊C4×C73—21no—
630C22⋊C4×C73—21no—
631C22⋊C4×C73—21no—
632C22⋊C4×C73—21no—
633C22⋊C4×C73—21no—
634C22⋊C4×C73—21no—
635C22⋊C4×C73—21no—
636C22⋊C4×C73—21no—
637C22⋊C4×C73—21no—
638C22⋊C4×C73—21no—
639C22⋊C4×C73—21no—
640C22⋊C4×C73—21no—
641C22⋊C4×C73—21no—
642C22⋊C4×C73—21no—
643C22⋊C4×C73—21no—
644C22⋊C4×C73—21no—
645C22⋊C4×C73—21no—
646C22⋊C4×C73—21no—
647C22⋊C4×C73—21no—
648C22⋊C4×C73—21no—
649C22⋊C4×C73—21no—
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73C2×D411yescharacteristic
663C22⋊C4×C73C2×D411yescharacteristic
664C22⋊C4×C73C2×D411yescharacteristic
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C42×C73—21no—
673C42×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73—21no—
680C42×C73—21no—
681C42×C73—21no—
682C42×C73—21no—
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2411yescharacteristic
686C42×C73C2411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—21no—
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—42no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73—81no—
699C23×C73—81no—
700C23×C73C22×D411yescharacteristic
701C23×C73C22×D411yescharacteristic
702C23×C73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—41no—
709Q8×C73—42no—
710Q8×C73—81no—
711Q8×C73—81no—
712Q8×C73C2×#4112yes—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—41no—
723D4×C73—41no—
724D4×C73—41no—
725D4×C73—42no—
726D4×C73—42no—
727D4×C73—42no—
728D4×C73—42no—
729D4×C73—42no—
730D4×C73—42no—
731D4×C73—81no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73C2×#4112yes—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—41no—
761C2×C4×C73—41no—
762C2×C4×C73—42no—
763C2×C4×C73—42no—
764C2×C4×C73—42no—
765C2×C4×C73—42no—
766C2×C4×C73—42no—
767C2×C4×C73—81no—
768C2×C4×C73—81no—
769C2×C4×C73—81no—
770C2×C4×C73—81no—
771C2×C4×C73—81no—
772C2×C4×C73—81no—
773C2×C4×C73—81no—
774C2×C4×C73—81no—
775C2×C4×C73—81no—
776C2×C4×C73—81no—
777C2×C4×C73—81no—
778C2×C4×C73—81no—
779C2×C4×C73—81no—
780C2×C4×C73—81no—
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C2511yescharacteristic
793C8×C73—21no—
794C8×C73—21no—
795C8×C73—21no—
796C8×C73—21no—
797C8×C73—21no—
798C8×C73—21no—
799C8×C73—21no—
800C8×C73C2×#4112yes—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—21no—
806C22×C73—21no—
807C22×C73—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—22no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—84no—
826C22×C73—162no—
827C22×C73C23×D411yescharacteristic
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—21no—
832C4×C73—21no—
833C4×C73—21no—
834C4×C73—21no—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—22no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73C22×#4111yescharacteristic
851C4×C73#58511yescharacteristic
852#61535C7311yesmaximal, characteristic, direct product factor, Sylow
853C2×C73—41no—
854C2×C73—41no—
855C2×C73—41no—
856C2×C73—42no—
857C2×C73—81no—
858C2×C73—81no—
859C2×C73—81no—
860C2×C73—81no—
861C2×C73D4×#4111yescharacteristic
862C2×C73#358411yescharacteristic
863C2×C73#358511yescharacteristic
864#3524C2×C7311yescharacteristic, complemented
865#3513C2×C7311yescharacteristic, complemented
866#3403C2×C7311yescharacteristic, complemented
867#3388C2×C7311yescharacteristic, complemented
868#3365C2×C7311yescharacteristic, complemented
869#3361C2×C7311yescharacteristic, complemented
870#3348C2×C7311yescharacteristic, complemented
871#3343C2×C7311yescharacteristic, complemented
872#3339C2×C7311yescharacteristic, complemented
873#3332C2×C7311yescharacteristic, complemented
874#3327C2×C7311yescharacteristic, complemented
875#3326C2×C7311yescharacteristic, complemented
876#3325C2×C7311yescharacteristic, complemented
877#3323C2×C7311yescharacteristic, complemented
878#3322C2×C7311yescharacteristic, complemented
879#3282C2×C7311yescharacteristic, complemented
880#3268C2×C7311yescharacteristic, complemented
881#3265C2×C7311yescharacteristic, complemented
882#3183C2×C7311yescharacteristic, complemented
883#3179C2×C7311yescharacteristic, complemented
884#3179C2×C7311yescharacteristic, complemented
885#3125C2×C7311yescharacteristic, complemented
886#3122C2×C7311yescharacteristic, complemented
887#3121C2×C7311yescharacteristic, complemented
888#3119C2×C7311yescharacteristic, complemented
889#3105C2×C7311yescharacteristic, complemented
890#3102C2×C7311yescharacteristic, complemented
891#2969C2×C7311yescharacteristic, complemented
892#2951C2×C7311yescharacteristic, complemented
893#2949C2×C7311yescharacteristic, complemented
894C4×AGL(1,ℤ/8)C2×C7311yescharacteristic, complemented
895C73#6153511yescharacteristic, direct product factor, Sylow
896C2×AGL(1,ℤ/8)C22×C7311yescharacteristic
897C2×#135C22×C7311yescharacteristic
898C22×SD16C22×C7311yescharacteristic
899#559—21no—
900#559C22×C7311yescharacteristic
901#559C22×C7311yescharacteristic, complemented
902#557C22×C7311yescharacteristic, complemented
903#555—21no—
904#555C22×C7311yescharacteristic
905#554C22×C7311yescharacteristic
906#553—21no—
907#553—21no—
908#553C22×C7311yescharacteristic
909#553C22×C7311yescharacteristic, complemented
910#552—21no—
911#552C22×C7311yescharacteristic
912#552C22×C7311yescharacteristic, complemented
913#551—21no—
914#551—21no—
915#550C22×C7311yescharacteristic, complemented
916#548C22×C7311yescharacteristic
917#548C22×C7311yescharacteristic, complemented
918#547C22×C7311yescharacteristic
919#546—21no—
920#546C22×C7311yescharacteristic
921#546C22×C7311yescharacteristic
922D42C22×C7311yescharacteristic
923#542—21no—
924#542C22×C7311yescharacteristic
925#542C22×C7311yescharacteristic, complemented
926#540—21no—
927#540C22×C7311yescharacteristic
928#540C22×C7311yescharacteristic, complemented
929#539—21no—
930#538—21no—
931#529—21no—
932#529—21no—
933#529C22×C7311yescharacteristic
934#529C22×C7311yescharacteristic
935#529C22×C7311yescharacteristic, complemented
936#525—21no—
937C2×#123—21no—
938#520C22×C7311yescharacteristic
939#520C22×C7311yescharacteristic, complemented
940#519C22×C7311yescharacteristic, complemented
941#518C22×C7311yescharacteristic
942C4×#41C22×C7311yescharacteristic, complemented
943C2×C4×D4C22×C7311yescharacteristic
944#501C22×C7311yescharacteristic, complemented
945#501C22×C7311yescharacteristic, complemented
946#499C22×C7311yescharacteristic, complemented
947#496C22×C7311yescharacteristic
948#496C22×C7311yescharacteristic, complemented
949#495C22×C7311yescharacteristic, complemented
950#488C22×C7311yescharacteristic, complemented
951#488C22×C7311yescharacteristic, complemented
952#488C22×C7311yescharacteristic, complemented
953#488C22×C7311yescharacteristic, complemented
954#486C22×C7311yescharacteristic
955#486C22×C7311yescharacteristic, complemented
956#485C22×C7311yescharacteristic, complemented
957#485C22×C7311yescharacteristic, complemented
958#484C22×C7311yescharacteristic, complemented
959#483C22×C7311yescharacteristic, complemented
960#482C22×C7311yescharacteristic
961#482C22×C7311yescharacteristic
962#482C22×C7311yescharacteristic, complemented
963#482C22×C7311yescharacteristic, complemented
964#481C22×C7311yescharacteristic, complemented
965#481C22×C7311yescharacteristic, complemented
966#481C22×C7311yescharacteristic, complemented
967#480C22×C7311yescharacteristic, complemented
968#479C22×C7311yescharacteristic, complemented
969#479C22×C7311yescharacteristic, complemented
970#478C22×C7311yescharacteristic
971#478C22×C7311yescharacteristic
972#478C22×C7311yescharacteristic, complemented
973#478C22×C7311yescharacteristic, complemented
974#478C22×C7311yescharacteristic, complemented
975#478C22×C7311yescharacteristic, complemented
976#477C22×C7311yescharacteristic, complemented
977#476C22×C7311yescharacteristic
978#475C22×C7311yescharacteristic, complemented
979#475C22×C7311yescharacteristic, complemented
980#470C22×C7311yescharacteristic, complemented
981#469C22×C7311yescharacteristic
982#469C22×C7311yescharacteristic
983#469C22×C7311yescharacteristic, complemented
984#468C22×C7311yescharacteristic
985#468C22×C7311yescharacteristic, complemented
986#468C22×C7311yescharacteristic, complemented
987#468C22×C7311yescharacteristic, complemented
988#466C22×C7311yescharacteristic
989#466C22×C7311yescharacteristic, complemented
990#465C22×C7311yescharacteristic, complemented
991#465C22×C7311yescharacteristic, complemented
992#464C22×C7311yescharacteristic, complemented
993#464C22×C7311yescharacteristic, complemented
994#464C22×C7311yescharacteristic, complemented
995#464C22×C7311yescharacteristic, complemented
996#463C22×C7311yescharacteristic
997#463C22×C7311yescharacteristic
998#463C22×C7311yescharacteristic, complemented
999#463C22×C7311yescharacteristic, complemented
1000#460C22×C7311yescharacteristic
1001#459C22×C7311yescharacteristic
1002#459C22×C7311yescharacteristic
1003#459C22×C7311yescharacteristic, complemented
1004#452C22×C7311yescharacteristic
1005#452C22×C7311yescharacteristic, complemented
1006#451C22×C7311yescharacteristic, complemented
1007#450C22×C7311yescharacteristic
1008#449C22×C7311yescharacteristic
1009#449C22×C7311yescharacteristic
1010#449C22×C7311yescharacteristic, complemented
1011#449C22×C7311yescharacteristic, complemented
1012#448C22×C7311yescharacteristic
1013#447C22×C7311yescharacteristic
1014#447C22×C7311yescharacteristic
1015#447C22×C7311yescharacteristic
1016#446C22×C7311yescharacteristic, complemented
1017C8×Q8C22×C7311yescharacteristic, complemented
1018#442C22×C7311yescharacteristic
1019#442C22×C7311yescharacteristic, complemented
1020#442C22×C7311yescharacteristic, complemented
1021#441C22×C7311yescharacteristic, complemented
1022#440C22×C7311yescharacteristic
1023#440C22×C7311yescharacteristic
1024#440C22×C7311yescharacteristic
1025#440C22×C7311yescharacteristic, complemented
1026#440C22×C7311yescharacteristic, complemented
1027#440C22×C7311yescharacteristic, complemented
1028#440C22×C7311yescharacteristic, complemented
1029#440C22×C7311yescharacteristic, complemented
1030C4×Q16C22×C7311yescharacteristic, complemented
1031C4×Q16C22×C7311yescharacteristic, complemented
1032C4×SD16C22×C7311yescharacteristic
1033C4×SD16C22×C7311yescharacteristic
1034C4×SD16C22×C7311yescharacteristic
1035C4×SD16C22×C7311yescharacteristic, complemented
1036C4×SD16C22×C7311yescharacteristic, complemented
1037C4×SD16C22×C7311yescharacteristic, complemented
1038C4×SD16C22×C7311yescharacteristic, complemented
1039C4×SD16C22×C7311yescharacteristic, complemented
1040C4×D8C22×C7311yescharacteristic
1041C4×D8C22×C7311yescharacteristic
1042C4×D8C22×C7311yescharacteristic
1043C4×D8C22×C7311yescharacteristic, complemented
1044C4×D8C22×C7311yescharacteristic, complemented
1045C4×D8C22×C7311yescharacteristic, complemented
1046#436C22×C7311yescharacteristic
1047#436C22×C7311yescharacteristic, complemented
1048#436C22×C7311yescharacteristic, complemented
1049#435C22×C7311yescharacteristic
1050#435C22×C7311yescharacteristic, complemented
1051C8×D4C22×C7311yescharacteristic, complemented
1052#433C22×C7311yescharacteristic, complemented
1053#433C22×C7311yescharacteristic, complemented
1054#431C22×C7311yescharacteristic, complemented
1055#428C22×C7311yescharacteristic, complemented
1056#427C22×C7311yescharacteristic, complemented
1057C2×#107C22×C7311yescharacteristic, complemented
1058#419C22×C7311yescharacteristic, complemented
1059#418C22×C7311yescharacteristic
1060#418C22×C7311yescharacteristic
1061#417C22×C7311yescharacteristic
1062#417C22×C7311yescharacteristic, complemented
1063#417C22×C7311yescharacteristic, complemented
1064#405C22×C7311yescharacteristic, complemented
1065#405C22×C7311yescharacteristic, complemented
1066C4×M16C22×C7311yescharacteristic, complemented
1067C2×#41—21no—
1068C2×#41C23×C7311yescharacteristic
1069C2×#41C23×C7311yescharacteristic
1070C2×#41C23×C7311yescharacteristic
1071C22×Q8C23×C7311yescharacteristic
1072C22×D4—21no—
1073C22×D4C23×C7311yescharacteristic
1074C22×D4C23×C7311yescharacteristic
1075C23×C4—21no—
1076AGL(1,ℤ/8)—24no—
1077#135—24no—
1078C2×Q16C23×C7311yescharacteristic
1079C2×Q16C23×C7311yescharacteristic
1080C2×SD16—24no—
1081C2×SD16C23×C7311yescharacteristic
1082C2×SD16C23×C7311yescharacteristic
1083C2×SD16C23×C7311yescharacteristic
1084C2×SD16C23×C7311yescharacteristic
1085C2×SD16C23×C7311yescharacteristic
1086C2×SD16C23×C7311yescharacteristic
1087C2×SD16C23×C7311yescharacteristic
1088C2×SD16C23×C7311yescharacteristic
1089C2×D8C23×C7311yescharacteristic
1090C2×D8C23×C7311yescharacteristic
1091C2×D8C23×C7311yescharacteristic
1092C2×D8C23×C7311yescharacteristic
1093C2×D8C23×C7311yescharacteristic
1094C2×D8C23×C7311yescharacteristic
1095C2×M16C23×C7311yescharacteristic
1096C2×M16C23×C7311yescharacteristic
1097C2×M16C23×C7311yescharacteristic
1098C2×M16C23×C7311yescharacteristic
1099C22×C8C23×C7311yescharacteristic
1100C22×C8C23×C7311yescharacteristic
1101C4⋊Q8—21no—
1102C4⋊Q8C23×C7311yescharacteristic
1103C4⋊Q8C23×C7311yescharacteristic
1104#127—21no—
1105#127C23×C7311yescharacteristic
1106#127C23×C7311yescharacteristic
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126D4×C7311yescharacteristic
1116#126D4×C7311yescharacteristic
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125—21no—
1121#125D4×C7311yescharacteristic
1122#125C23×C7311yescharacteristic
1123#125C23×C7311yescharacteristic
1124#125C23×C7311yescharacteristic
1125#125C23×C7311yescharacteristic
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124—21no—
1134#124D4×C7311yescharacteristic
1135#124C23×C7311yescharacteristic
1136#124C23×C7311yescharacteristic
1137#124C23×C7311yescharacteristic
1138#124C23×C7311yescharacteristic
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123D4×C7311yescharacteristic
1160#123D4×C7311yescharacteristic
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8D4×C7311yescharacteristic
1170C22⋊Q8C23×C7311yescharacteristic
1171C22⋊Q8C23×C7311yescharacteristic
1172C22⋊Q8C23×C7311yescharacteristic
1173C22⋊Q8C23×C7311yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121D4×C7311yescharacteristic
1189#121C23×C7311yescharacteristic
1190#121C23×C7311yescharacteristic
1191#121C23×C7311yescharacteristic
1192#121C23×C7311yescharacteristic
1193#121C23×C7311yescharacteristic
1194#121C23×C7311yescharacteristic
1195#121C23×C7311yescharacteristic
1196#121C23×C7311yescharacteristic
1197#120—21no—
1198#120—21no—
1199#120—21no—
1200#120—21no—
1201C4×Q8—21no—
1202C4×Q8—21no—
1203C4×Q8—21no—
1204C4×Q8C23×C7311yescharacteristic
1205C4×Q8C23×C7311yescharacteristic
1206C4×Q8C23×C7311yescharacteristic
1207C4×Q8C23×C7311yescharacteristic
1208C4×Q8C23×C7311yescharacteristic
1209C4×Q8C23×C7311yescharacteristic
1210C4×Q8C23×C7311yescharacteristic
1211C4×Q8C23×C7311yescharacteristic
1212C4×Q8C23×C7311yescharacteristic
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4C23×C7311yescharacteristic
1233C4×D4C23×C7311yescharacteristic
1234C4×D4C23×C7311yescharacteristic
1235C4×D4C23×C7311yescharacteristic
1236C4×D4C23×C7311yescharacteristic
1237C4×D4C23×C7311yescharacteristic
1238C4×D4C23×C7311yescharacteristic
1239C4×D4C23×C7311yescharacteristic
1240C4×D4C23×C7311yescharacteristic
1241C4×D4C23×C7311yescharacteristic
1242C4×D4C23×C7311yescharacteristic
1243C4×D4C23×C7311yescharacteristic
1244C4×D4C23×C7311yescharacteristic
1245C4×D4C23×C7311yescharacteristic
1246C4×D4C23×C7311yescharacteristic
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117C23×C7311yescharacteristic
1258#117C23×C7311yescharacteristic
1259#117C23×C7311yescharacteristic
1260#117C23×C7311yescharacteristic
1261#117C23×C7311yescharacteristic
1262C2×C4⋊C4—21no—
1263C2×C4⋊C4—21no—
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4C23×C7311yescharacteristic
1266C2×C4⋊C4C23×C7311yescharacteristic
1267C2×C4⋊C4C23×C7311yescharacteristic
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C42—21no—
1274C2×C42C23×C7311yescharacteristic
1275#107C23×C7311yescharacteristic
1276#107C23×C7311yescharacteristic
1277#107C23×C7311yescharacteristic
1278#107C23×C7311yescharacteristic
1279#107C23×C7311yescharacteristic
1280#107C23×C7311yescharacteristic
1281#107C23×C7311yescharacteristic
1282#107C23×C7311yescharacteristic
1283#106C23×C7311yescharacteristic
1284#106C23×C7311yescharacteristic
1285#106C23×C7311yescharacteristic
1286#106C23×C7311yescharacteristic
1287#106C23×C7311yescharacteristic
1288#106C23×C7311yescharacteristic
1289#106C23×C7311yescharacteristic
1290#106C23×C7311yescharacteristic
1291C4⋊C8C23×C7311yescharacteristic
1292C4⋊C8C23×C7311yescharacteristic
1293C4⋊C8C23×C7311yescharacteristic
1294C4⋊C8C23×C7311yescharacteristic
1295C4⋊C8C23×C7311yescharacteristic
1296C4⋊C8C23×C7311yescharacteristic
1297#103C23×C7311yescharacteristic
1298#103C23×C7311yescharacteristic
1299#103C23×C7311yescharacteristic
1300#103C23×C7311yescharacteristic
1301#103C23×C7311yescharacteristic
1302#103C23×C7311yescharacteristic
1303#103C23×C7311yescharacteristic
1304#103C23×C7311yescharacteristic
1305#103C23×C7311yescharacteristic
1306#103C23×C7311yescharacteristic
1307#103C23×C7311yescharacteristic
1308#103C23×C7311yescharacteristic
1309#102C23×C7311yescharacteristic
1310#102C23×C7311yescharacteristic
1311#102C23×C7311yescharacteristic
1312#102C23×C7311yescharacteristic
1313#102C23×C7311yescharacteristic
1314#102C23×C7311yescharacteristic
1315#102C23×C7311yescharacteristic
1316#102C23×C7311yescharacteristic
1317#102C23×C7311yescharacteristic
1318#102C23×C7311yescharacteristic
1319#102C23×C7311yescharacteristic
1320#102C23×C7311yescharacteristic
1321#102C23×C7311yescharacteristic
1322#102C23×C7311yescharacteristic
1323#102C23×C7311yescharacteristic
1324#102C23×C7311yescharacteristic
1325#102C23×C7311yescharacteristic
1326#102C23×C7311yescharacteristic
1327#102C23×C7311yescharacteristic
1328#102C23×C7311yescharacteristic
1329C22⋊C8C23×C7311yescharacteristic
1330C22⋊C8C23×C7311yescharacteristic
1331C22⋊C8C23×C7311yescharacteristic
1332C22⋊C8C23×C7311yescharacteristic
1333C22⋊C8C23×C7311yescharacteristic
1334C22⋊C8C23×C7311yescharacteristic
1335#97C23×C7311yescharacteristic
1336#97C23×C7311yescharacteristic
1337#97C23×C7311yescharacteristic
1338#97C23×C7311yescharacteristic
1339C4×C8C23×C7311yescharacteristic
1340C4×C8C23×C7311yescharacteristic
1341C4×C8C23×C7311yescharacteristic
1342C4×C8C23×C7311yescharacteristic
1343C4×C8C23×C7311yescharacteristic
1344C4×C8C23×C7311yescharacteristic
1345C24—21no—
1346C24—21no—
1347#41—22no—
1348#41—22no—
1349#41—22no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—82no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—22no—
1358C2×Q8—41no—
1359C2×Q8C2×D4×C7311yescharacteristic
1360C2×Q8C24×C7311yescharacteristic
1361C2×Q8C24×C7311yescharacteristic
1362C2×Q8C24×C7311yescharacteristic
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—82no—
1385C2×D4C2×D4×C7311yescharacteristic
1386C2×D4C2×D4×C7311yescharacteristic
1387C2×D4C2×D4×C7311yescharacteristic
1388C2×D4C24×C7311yescharacteristic
1389C2×D4C24×C7311yescharacteristic
1390C2×D4C24×C7311yescharacteristic
1391C2×D4C24×C7311yescharacteristic
1392C2×D4C24×C7311yescharacteristic
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—82no—
1413C22×C4C2×D4×C7311yescharacteristic
1414C22×C4C2×D4×C7311yescharacteristic
1415C22×C4C24×C7311yescharacteristic
1416C22×C4C24×C7311yescharacteristic
1417C22×C4C24×C7311yescharacteristic
1418Q16—22no—
1419Q16—41no—
1420SD16—22no—
1421SD16—22no—
1422SD16—22no—
1423SD16—22no—
1424SD16—22no—
1425SD16—41no—
1426SD16—41no—
1427SD16#41×C7314yescomplemented
1428D8—22no—
1429D8—22no—
1430D8—22no—
1431D8—41no—
1432D8—41no—
1433D8—41no—
1434M16—22no—
1435M16—41no—
1436M16—41no—
1437M16—41no—
1438C2×C8—22no—
1439C2×C8—22no—
1440C2×C8C24×C7311yescharacteristic
1441C2×C8C24×C7311yescharacteristic
1442C2×C8C24×C7311yescharacteristic
1443C2×C8C24×C7311yescharacteristic
1444C2×C8C24×C7311yescharacteristic
1445C2×C8C24×C7311yescharacteristic
1446C2×C8C24×C7311yescharacteristic
1447C2×C8C24×C7311yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4C2×D4×C7311yescharacteristic
1474C4⋊C4C2×D4×C7311yescharacteristic
1475C4⋊C4C2×D4×C7311yescharacteristic
1476C4⋊C4C2×D4×C7311yescharacteristic
1477C4⋊C4C2×D4×C7311yescharacteristic
1478C4⋊C4C2×D4×C7311yescharacteristic
1479C4⋊C4C2×D4×C7311yescharacteristic
1480C4⋊C4C2×D4×C7311yescharacteristic
1481C4⋊C4C2×D4×C7311yescharacteristic
1482C4⋊C4C2×D4×C7311yescharacteristic
1483C4⋊C4C24×C7311yescharacteristic
1484C4⋊C4C24×C7311yescharacteristic
1485C4⋊C4C24×C7311yescharacteristic
1486C4⋊C4C24×C7311yescharacteristic
1487C4⋊C4C24×C7311yescharacteristic
1488C4⋊C4C24×C7311yescharacteristic
1489C4⋊C4C24×C7311yescharacteristic
1490C4⋊C4C24×C7311yescharacteristic
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4C2×D4×C7311yescharacteristic
1527C22⋊C4C2×D4×C7311yescharacteristic
1528C22⋊C4C2×D4×C7311yescharacteristic
1529C22⋊C4C2×D4×C7311yescharacteristic
1530C22⋊C4C2×D4×C7311yescharacteristic
1531C22⋊C4C2×D4×C7311yescharacteristic
1532C22⋊C4C2×D4×C7311yescharacteristic
1533C22⋊C4C2×D4×C7311yescharacteristic
1534C22⋊C4C2×D4×C7311yescharacteristic
1535C22⋊C4C2×D4×C7311yescharacteristic
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42C2×D4×C7311yescharacteristic
1548C42C2×D4×C7311yescharacteristic
1549C42C24×C7311yescharacteristic
1550C42C24×C7311yescharacteristic
1551C42C24×C7311yescharacteristic
1552C42C24×C7311yescharacteristic
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—42no—
1559C23—42no—
1560C23—42no—
1561C23—81no—
1562C23—81no—
1563C23—81no—
1564C23C22×D4×C7311yescharacteristic
1565C23C22×D4×C7311yescharacteristic
1566C23C22×D4×C7311yescharacteristic
1567Q8—21no—
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—41no—
1573Q8—42no—
1574Q8—81no—
1575Q8—81no—
1576Q8C2×#41×C7312yes—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—42no—
1590D4—42no—
1591D4—42no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4C2×#41×C7312yes—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4C22×D4×C7311yescharacteristic
1646C2×C4C22×D4×C7311yescharacteristic
1647C2×C4C22×D4×C7311yescharacteristic
1648C2×C4C22×D4×C7311yescharacteristic
1649C2×C4C22×D4×C7311yescharacteristic
1650C2×C4C22×D4×C7311yescharacteristic
1651C2×C4C22×D4×C7311yescharacteristic
1652C2×C4C22×D4×C7311yescharacteristic
1653C2×C4C22×D4×C7311yescharacteristic
1654C2×C4C22×D4×C7311yescharacteristic
1655C2×C4C22×D4×C7311yescharacteristic
1656C2×C4C25×C7311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8C2×#41×C7312yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—22no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—84no—
1690C22—162no—
1691C22C23×D4×C7311yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—22no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4C22×#41×C7311yescharacteristic
1715C4#585×C7311yescharacteristic
1716C2—41no—
1717C2—41no—
1718C2—41no—
1719C2—42no—
1720C2—81no—
1721C2—81no—
1722C2—81no—
1723C2—81no—
1724C2D4×#41×C7311yescharacteristic
1725C2C73×#358411yescharacteristic
1726C2C73×#358511yescharacteristic
subgroupG/H
center, socleC22×C73C23×D4
commutator, Frattini, cosocleC2×C4C25×C73
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C73 ◁ #529×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3524C2semidirect
2. C73×#3513C2semidirect
3. C73×#3403C2semidirect
4. C73×#3388C2semidirect
5. C73×#3365C2semidirect
6. C73×#3361C2semidirect
7. C73×#3348C2semidirect
8. C73×#3343C2semidirect
9. C73×#3339C2semidirect
10. C73×#3332C2semidirect
11. C73×#3327C2semidirect
12. C73×#3326C2semidirect
13. C73×#3325C2semidirect
14. C73×#3323C2semidirect
15. C73×#3322C2semidirect
16. C73×#3282C2semidirect
17. C73×#3268C2semidirect
18. C73×#3265C2semidirect
19. C73×#3183C2semidirect
20. C73×#3179C2semidirect
21. C73×#3179C2semidirect
22. C73×#3125C2semidirect
23. C73×#3122C2semidirect
24. C73×#3121C2semidirect
25. C73×#3119C2semidirect
26. C73×#3105C2semidirect
27. C73×#3102C2semidirect
28. C73×#2969C2semidirect
29. C73×#2951C2semidirect
30. C73×#2949C2semidirect
31. C4×AGL(1,ℤ/8)×C73C2semidirect
37. #559×C73C22semidirect
38. #557×C73C22semidirect
45. #553×C73C22semidirect
48. #552×C73C22semidirect
51. #550×C73C22semidirect
53. #548×C73C22semidirect
61. #542×C73C22semidirect
64. #540×C73C22semidirect
71. #529×C73C22semidirect
75. #520×C73C22semidirect
76. #519×C73C22semidirect
78. C4×#41×C73C22semidirect
80. #501×C73C22semidirect
81. #501×C73C22semidirect
82. #499×C73C22semidirect
84. #496×C73C22semidirect
85. #495×C73C22semidirect
86. #488×C73C22semidirect
87. #488×C73C22semidirect
88. #488×C73C22semidirect
89. #488×C73C22semidirect
91. #486×C73C22semidirect
92. #485×C73C22semidirect
93. #485×C73C22semidirect
94. #484×C73C22semidirect
95. #483×C73C22semidirect
98. #482×C73C22semidirect
99. #482×C73C22semidirect
100. #481×C73C22semidirect
101. #481×C73C22semidirect
102. #481×C73C22semidirect
103. #480×C73C22semidirect
104. #479×C73C22semidirect
105. #479×C73C22semidirect
108. #478×C73C22semidirect
109. #478×C73C22semidirect
110. #478×C73C22semidirect
111. #478×C73C22semidirect
112. #477×C73C22semidirect
114. #475×C73C22semidirect
115. #475×C73C22semidirect
116. #470×C73C22semidirect
119. #469×C73C22semidirect
121. #468×C73C22semidirect
122. #468×C73C22semidirect
123. #468×C73C22semidirect
125. #466×C73C22semidirect
126. #465×C73C22semidirect
127. #465×C73C22semidirect
128. #464×C73C22semidirect
129. #464×C73C22semidirect
130. #464×C73C22semidirect
131. #464×C73C22semidirect
134. #463×C73C22semidirect
135. #463×C73C22semidirect
139. #459×C73C22semidirect
141. #452×C73C22semidirect
142. #451×C73C22semidirect
146. #449×C73C22semidirect
147. #449×C73C22semidirect
152. #446×C73C22semidirect
153. C8×Q8×C73C22semidirect
155. #442×C73C22semidirect
156. #442×C73C22semidirect
157. #441×C73C22semidirect
161. #440×C73C22semidirect
162. #440×C73C22semidirect
163. #440×C73C22semidirect
164. #440×C73C22semidirect
165. #440×C73C22semidirect
166. C4×Q16×C73C22semidirect
167. C4×Q16×C73C22semidirect
171. C4×SD16×C73C22semidirect
172. C4×SD16×C73C22semidirect
173. C4×SD16×C73C22semidirect
174. C4×SD16×C73C22semidirect
175. C4×SD16×C73C22semidirect
179. C4×D8×C73C22semidirect
180. C4×D8×C73C22semidirect
181. C4×D8×C73C22semidirect
183. #436×C73C22semidirect
184. #436×C73C22semidirect
186. #435×C73C22semidirect
187. C8×D4×C73C22semidirect
188. #433×C73C22semidirect
189. #433×C73C22semidirect
190. #431×C73C22semidirect
191. #428×C73C22semidirect
192. #427×C73C22semidirect
193. C2×#107×C73C22semidirect
194. #419×C73C22semidirect
198. #417×C73C22semidirect
199. #417×C73C22semidirect
200. #405×C73C22semidirect
201. #405×C73C22semidirect
202. C4×M16×C73C22semidirect
563. SD16×C73#41semidirect
852. #61535C73direct (N × H)
864. #3524C2×C73semidirect
865. #3513C2×C73semidirect
866. #3403C2×C73semidirect
867. #3388C2×C73semidirect
868. #3365C2×C73semidirect
869. #3361C2×C73semidirect
870. #3348C2×C73semidirect
871. #3343C2×C73semidirect
872. #3339C2×C73semidirect
873. #3332C2×C73semidirect
874. #3327C2×C73semidirect
875. #3326C2×C73semidirect
876. #3325C2×C73semidirect
877. #3323C2×C73semidirect
878. #3322C2×C73semidirect
879. #3282C2×C73semidirect
880. #3268C2×C73semidirect
881. #3265C2×C73semidirect
882. #3183C2×C73semidirect
883. #3179C2×C73semidirect
884. #3179C2×C73semidirect
885. #3125C2×C73semidirect
886. #3122C2×C73semidirect
887. #3121C2×C73semidirect
888. #3119C2×C73semidirect
889. #3105C2×C73semidirect
890. #3102C2×C73semidirect
891. #2969C2×C73semidirect
892. #2951C2×C73semidirect
893. #2949C2×C73semidirect
894. C4×AGL(1,ℤ/8)C2×C73semidirect
895. C73#61535direct (N × H)
901. #559C22×C73semidirect
902. #557C22×C73semidirect
909. #553C22×C73semidirect
912. #552C22×C73semidirect
915. #550C22×C73semidirect
917. #548C22×C73semidirect
925. #542C22×C73semidirect
928. #540C22×C73semidirect
935. #529C22×C73semidirect
939. #520C22×C73semidirect
940. #519C22×C73semidirect
942. C4×#41C22×C73semidirect
944. #501C22×C73semidirect
945. #501C22×C73semidirect
946. #499C22×C73semidirect
948. #496C22×C73semidirect
949. #495C22×C73semidirect
950. #488C22×C73semidirect
951. #488C22×C73semidirect
952. #488C22×C73semidirect
953. #488C22×C73semidirect
955. #486C22×C73semidirect
956. #485C22×C73semidirect
957. #485C22×C73semidirect
958. #484C22×C73semidirect
959. #483C22×C73semidirect
962. #482C22×C73semidirect
963. #482C22×C73semidirect
964. #481C22×C73semidirect
965. #481C22×C73semidirect
966. #481C22×C73semidirect
967. #480C22×C73semidirect
968. #479C22×C73semidirect
969. #479C22×C73semidirect
972. #478C22×C73semidirect
973. #478C22×C73semidirect
974. #478C22×C73semidirect
975. #478C22×C73semidirect
976. #477C22×C73semidirect
978. #475C22×C73semidirect
979. #475C22×C73semidirect
980. #470C22×C73semidirect
983. #469C22×C73semidirect
985. #468C22×C73semidirect
986. #468C22×C73semidirect
987. #468C22×C73semidirect
989. #466C22×C73semidirect
990. #465C22×C73semidirect
991. #465C22×C73semidirect
992. #464C22×C73semidirect
993. #464C22×C73semidirect
994. #464C22×C73semidirect
995. #464C22×C73semidirect
998. #463C22×C73semidirect
999. #463C22×C73semidirect
1003. #459C22×C73semidirect
1005. #452C22×C73semidirect
1006. #451C22×C73semidirect
1010. #449C22×C73semidirect
1011. #449C22×C73semidirect
1016. #446C22×C73semidirect
1017. C8×Q8C22×C73semidirect
1019. #442C22×C73semidirect
1020. #442C22×C73semidirect
1021. #441C22×C73semidirect
1025. #440C22×C73semidirect
1026. #440C22×C73semidirect
1027. #440C22×C73semidirect
1028. #440C22×C73semidirect
1029. #440C22×C73semidirect
1030. C4×Q16C22×C73semidirect
1031. C4×Q16C22×C73semidirect
1035. C4×SD16C22×C73semidirect
1036. C4×SD16C22×C73semidirect
1037. C4×SD16C22×C73semidirect
1038. C4×SD16C22×C73semidirect
1039. C4×SD16C22×C73semidirect
1043. C4×D8C22×C73semidirect
1044. C4×D8C22×C73semidirect
1045. C4×D8C22×C73semidirect
1047. #436C22×C73semidirect
1048. #436C22×C73semidirect
1050. #435C22×C73semidirect
1051. C8×D4C22×C73semidirect
1052. #433C22×C73semidirect
1053. #433C22×C73semidirect
1054. #431C22×C73semidirect
1055. #428C22×C73semidirect
1056. #427C22×C73semidirect
1057. C2×#107C22×C73semidirect
1058. #419C22×C73semidirect
1062. #417C22×C73semidirect
1063. #417C22×C73semidirect
1064. #405C22×C73semidirect
1065. #405C22×C73semidirect
1066. C4×M16C22×C73semidirect
1427. SD16#41×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#35242
C73×#35132
C73×#34032
C73×#33882
C73×#33652
C73×#33612
C73×#33482
C73×#33432
C73×#33392
C73×#33322
C73×#33272
C73×#33262
C73×#33252
C73×#33232
C73×#33222
C73×#32822
C73×#32682
C73×#32652
C73×#31832
C73×#31792
C73×#31252
C73×#31222
C73×#31212
C73×#31192
C73×#31052
C73×#31022
C73×#29692
C73×#29512
C73×#29492
C4×AGL(1,ℤ/8)×C732
#6153573