Finite Group Databasebeta

← C73×#62614 #32972018

Subgroups — C73×#62614 #32972018

Order 18688.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3565C211yesmaximal, characteristic, complemented
2C73×#3558C211yesmaximal, characteristic, complemented
3C73×#3371C211yesmaximal, characteristic, complemented
4C73×#3370C211yesmaximal, characteristic, complemented
5C73×#3365C211yesmaximal, characteristic, complemented
6C73×#3361C211yesmaximal, characteristic, complemented
7C73×#3327C211yesmaximal, characteristic, complemented
8C73×#3326C211yesmaximal, characteristic, complemented
9C73×#3325C211yesmaximal, characteristic, complemented
10C73×#3324C211yesmaximal, characteristic, complemented
11C73×#3323C211yesmaximal, characteristic, complemented
12C73×#3322C211yesmaximal, characteristic, complemented
13C73×#3321C211yesmaximal, characteristic, complemented
14C73×#3318C211yesmaximal, characteristic, complemented
15C73×#3313C211yesmaximal, characteristic, complemented
16C73×#3310C211yesmaximal, characteristic, complemented
17C73×#3297C211yesmaximal, characteristic, complemented
18C73×#3296C211yesmaximal, characteristic, complemented
19C73×#3244C211yesmaximal, characteristic, complemented
20C73×#3243C211yesmaximal, characteristic, complemented
21C73×#3228C211yesmaximal, characteristic, complemented
22C73×#3224C211yesmaximal, characteristic, complemented
23C73×#3224C211yesmaximal, characteristic, complemented
24C73×#3211C211yesmaximal, characteristic, complemented
25C73×#3175C211yesmaximal, characteristic, complemented
26C73×#3173C211yesmaximal, characteristic, complemented
27C73×#3171C211yesmaximal, characteristic, complemented
28C73×#3140C211yesmaximal, characteristic, complemented
29C73×#3136C211yesmaximal, characteristic, complemented
30C73×#3136C211yesmaximal, characteristic, complemented
31C73×#2969C211yesmaximal, characteristic, complemented
32#563×C73—21no—
33#562×C73—21no—
34#562×C73—21no—
35H(3,𝔽4)×C73—21no—
36#559×C73C2211yescharacteristic
37#559×C73C2211yescharacteristic
38#557×C73C2211yescharacteristic, complemented
39#556×C73—21no—
40#556×C73C2211yescharacteristic, complemented
41#555×C73C2211yescharacteristic, complemented
42#554×C73C2211yescharacteristic, complemented
43#553×C73C2211yescharacteristic, complemented
44#553×C73C2211yescharacteristic, complemented
45#552×C73—21no—
46#552×C73C2211yescharacteristic, complemented
47#552×C73C2211yescharacteristic, complemented
48#548×C73C2211yescharacteristic
49#548×C73C2211yescharacteristic
50#546×C73—21no—
51#546×C73—21no—
52#546×C73C2211yescharacteristic
53#546×C73C2211yescharacteristic
54D42×C73C2211yescharacteristic
55D42×C73C2211yescharacteristic
56#544×C73C2211yescharacteristic, complemented
57#544×C73C2211yescharacteristic, complemented
58#542×C73—21no—
59#542×C73—21no—
60#542×C73C2211yescharacteristic
61#542×C73C2211yescharacteristic
62#542×C73C2211yescharacteristic, complemented
63#542×C73C2211yescharacteristic, complemented
64#541×C73—21no—
65#539×C73—21no—
66#538×C73—21no—
67#538×C73—21no—
68#538×C73—21no—
69#535×C73C2211yescharacteristic
70#535×C73C2211yescharacteristic
71#534×C73—21no—
72#533×C73C2211yescharacteristic, complemented
73#532×C73C2211yescharacteristic
74#529×C73C2211yescharacteristic
75#529×C73C2211yescharacteristic, complemented
76C2×#124×C73C2211yescharacteristic
77#501×C73C2211yescharacteristic, complemented
78#500×C73C2211yescharacteristic, complemented
79#498×C73C2211yescharacteristic, complemented
80#496×C73C2211yescharacteristic, complemented
81#495×C73C2211yescharacteristic, complemented
82#495×C73C2211yescharacteristic, complemented
83#490×C73C2211yescharacteristic
84#490×C73C2211yescharacteristic
85#490×C73C2211yescharacteristic, complemented
86#489×C73C2211yescharacteristic, complemented
87#489×C73C2211yescharacteristic, complemented
88#489×C73C2211yescharacteristic, complemented
89#489×C73C2211yescharacteristic, complemented
90#489×C73C2211yescharacteristic, complemented
91#489×C73C2211yescharacteristic, complemented
92#489×C73C2211yescharacteristic, complemented
93#488×C73C2211yescharacteristic, complemented
94#488×C73C2211yescharacteristic, complemented
95#488×C73C2211yescharacteristic, complemented
96#488×C73C2211yescharacteristic, complemented
97#488×C73C2211yescharacteristic, complemented
98#488×C73C2211yescharacteristic, complemented
99#488×C73C2211yescharacteristic, complemented
100#488×C73C2211yescharacteristic, complemented
101#486×C73C2211yescharacteristic
102#486×C73C2211yescharacteristic
103#486×C73C2211yescharacteristic, complemented
104#486×C73C2211yescharacteristic, complemented
105#485×C73C2211yescharacteristic, complemented
106#485×C73C2211yescharacteristic, complemented
107#484×C73C2211yescharacteristic, complemented
108#483×C73C2211yescharacteristic, complemented
109#482×C73C2211yescharacteristic
110#482×C73C2211yescharacteristic
111#482×C73C2211yescharacteristic, complemented
112#482×C73C2211yescharacteristic, complemented
113#482×C73C2211yescharacteristic, complemented
114#482×C73C2211yescharacteristic, complemented
115#481×C73C2211yescharacteristic
116#480×C73C2211yescharacteristic
117#479×C73C2211yescharacteristic, complemented
118#479×C73C2211yescharacteristic, complemented
119#478×C73C2211yescharacteristic, complemented
120#478×C73C2211yescharacteristic, complemented
121#478×C73C2211yescharacteristic, complemented
122#478×C73C2211yescharacteristic, complemented
123#478×C73C2211yescharacteristic, complemented
124#478×C73C2211yescharacteristic, complemented
125#477×C73C2211yescharacteristic, complemented
126#476×C73C2211yescharacteristic, complemented
127#475×C73C2211yescharacteristic, complemented
128#474×C73C2211yescharacteristic, complemented
129#470×C73C2211yescharacteristic, complemented
130#469×C73C2211yescharacteristic
131#469×C73C2211yescharacteristic, complemented
132#469×C73C2211yescharacteristic, complemented
133#468×C73C2211yescharacteristic
134#468×C73C2211yescharacteristic, complemented
135#468×C73C2211yescharacteristic, complemented
136#468×C73C2211yescharacteristic, complemented
137#467×C73C2211yescharacteristic, complemented
138#466×C73C2211yescharacteristic
139#465×C73C2211yescharacteristic
140#465×C73C2211yescharacteristic, complemented
141#464×C73C2211yescharacteristic, complemented
142#464×C73C2211yescharacteristic, complemented
143#464×C73C2211yescharacteristic, complemented
144#464×C73C2211yescharacteristic, complemented
145#463×C73C2211yescharacteristic, complemented
146#463×C73C2211yescharacteristic, complemented
147#463×C73C2211yescharacteristic, complemented
148#463×C73C2211yescharacteristic, complemented
149#460×C73C2211yescharacteristic
150#460×C73C2211yescharacteristic
151#459×C73C2211yescharacteristic
152#459×C73C2211yescharacteristic
153#452×C73C2211yescharacteristic, complemented
154#452×C73C2211yescharacteristic, complemented
155#451×C73C2211yescharacteristic, complemented
156#450×C73C2211yescharacteristic
157#450×C73C2211yescharacteristic, complemented
158#450×C73C2211yescharacteristic, complemented
159#449×C73C2211yescharacteristic, complemented
160#449×C73C2211yescharacteristic, complemented
161#448×C73C2211yescharacteristic, complemented
162#447×C73C2211yescharacteristic
163#447×C73C2211yescharacteristic, complemented
164#447×C73C2211yescharacteristic, complemented
165#446×C73C2211yescharacteristic, complemented
166C8×Q8×C73C2211yescharacteristic, complemented
167#442×C73C2211yescharacteristic, complemented
168#441×C73C2211yescharacteristic, complemented
169#440×C73C2211yescharacteristic, complemented
170#440×C73C2211yescharacteristic, complemented
171C4×Q16×C73C2211yescharacteristic, complemented
172C4×SD16×C73C2211yescharacteristic, complemented
173C4×SD16×C73C2211yescharacteristic, complemented
174C4×SD16×C73C2211yescharacteristic, complemented
175C4×SD16×C73C2211yescharacteristic, complemented
176C4×D8×C73C2211yescharacteristic, complemented
177C4×D8×C73C2211yescharacteristic, complemented
178C4×D8×C73C2211yescharacteristic, complemented
179#436×C73C2211yescharacteristic, complemented
180#436×C73C2211yescharacteristic, complemented
181#436×C73C2211yescharacteristic, complemented
182#435×C73C2211yescharacteristic, complemented
183#435×C73C2211yescharacteristic, complemented
184C8×D4×C73C2211yescharacteristic, complemented
185#433×C73C2211yescharacteristic, complemented
186#433×C73C2211yescharacteristic, complemented
187#431×C73C2211yescharacteristic, complemented
188#419×C73C2211yescharacteristic, complemented
189#419×C73C2211yescharacteristic, complemented
190#418×C73C2211yescharacteristic
191#418×C73C2211yescharacteristic
192#418×C73C2211yescharacteristic, complemented
193#418×C73C2211yescharacteristic, complemented
194#417×C73C2211yescharacteristic, complemented
195#417×C73C2211yescharacteristic, complemented
196#416×C73C2211yescharacteristic, complemented
197#416×C73C2211yescharacteristic, complemented
198C2×#102×C73C2211yescharacteristic, complemented
199C2×#102×C73C2211yescharacteristic, complemented
200#405×C73C2211yescharacteristic, complemented
201#405×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#41×C73—21no—
204C2×#41×C73C2311yescharacteristic
205C2×#41×C73C2311yescharacteristic
206C22×Q8×C73C2311yescharacteristic
207C22×D4×C73—21no—
208C22×D4×C73—21no—
209C22×D4×C73C2311yescharacteristic
210C22×D4×C73C2311yescharacteristic
211C22×D4×C73C2311yescharacteristic
212C2×Q16×C73C2311yescharacteristic
213C2×Q16×C73C2311yescharacteristic
214C2×SD16×C73C2311yescharacteristic
215C2×SD16×C73C2311yescharacteristic
216C2×SD16×C73C2311yescharacteristic
217C2×SD16×C73C2311yescharacteristic
218C2×SD16×C73C2311yescharacteristic
219C2×SD16×C73C2311yescharacteristic
220C2×D8×C73C2311yescharacteristic
221C2×D8×C73C2311yescharacteristic
222C2×D8×C73C2311yescharacteristic
223C2×D8×C73C2311yescharacteristic
224C2×M16×C73C2311yescharacteristic
225C2×M16×C73C2311yescharacteristic
226C2×M16×C73C2311yescharacteristic
227C2×M16×C73C2311yescharacteristic
228C22×C8×C73C2311yescharacteristic
229C22×C8×C73C2311yescharacteristic
230C4⋊Q8×C73—21no—
231C4⋊Q8×C73—21no—
232C4⋊Q8×C73—21no—
233C4⋊Q8×C73C2311yescharacteristic
234C4⋊Q8×C73C2311yescharacteristic
235C4⋊Q8×C73C2311yescharacteristic
236C4⋊Q8×C73C2311yescharacteristic
237C4⋊Q8×C73C2311yescharacteristic
238#127×C73C2311yescharacteristic
239#127×C73C2311yescharacteristic
240#127×C73C2311yescharacteristic
241#126×C73—21no—
242#126×C73—21no—
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×C73—21no—
252#126×C73D411yescharacteristic
253#126×C73D411yescharacteristic
254#125×C73—21no—
255#125×C73—21no—
256#125×C73—21no—
257#125×C73—21no—
258#125×C73—21no—
259#125×C73—21no—
260#125×C73D411yescharacteristic
261#125×C73C2311yescharacteristic
262#125×C73C2311yescharacteristic
263#125×C73C2311yescharacteristic
264#125×C73C2311yescharacteristic
265#125×C73C2311yescharacteristic
266#124×C73—21no—
267#124×C73—21no—
268#124×C73—21no—
269#124×C73—21no—
270#124×C73—21no—
271#124×C73—21no—
272#124×C73—21no—
273#124×C73—21no—
274#124×C73—21no—
275#124×C73—21no—
276#124×C73—21no—
277#124×C73—21no—
278#124×C73—21no—
279#124×C73—21no—
280#124×C73D411yescharacteristic
281#124×C73C2311yescharacteristic
282#124×C73C2311yescharacteristic
283#124×C73C2311yescharacteristic
284#124×C73C2311yescharacteristic
285#124×C73C2311yescharacteristic
286#124×C73C2311yescharacteristic
287#124×C73C2311yescharacteristic
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×C73—21no—
296#123×C73—21no—
297#123×C73—21no—
298#123×C73—21no—
299#123×C73—21no—
300#123×C73—21no—
301#123×C73—21no—
302#123×C73—21no—
303#123×C73D411yescharacteristic
304#123×C73D411yescharacteristic
305C22⋊Q8×C73—21no—
306C22⋊Q8×C73—21no—
307C22⋊Q8×C73—21no—
308C22⋊Q8×C73—21no—
309C22⋊Q8×C73—21no—
310C22⋊Q8×C73—21no—
311C22⋊Q8×C73—21no—
312C22⋊Q8×C73—21no—
313C22⋊Q8×C73—21no—
314C22⋊Q8×C73—21no—
315C22⋊Q8×C73—21no—
316C22⋊Q8×C73—21no—
317C22⋊Q8×C73—21no—
318C22⋊Q8×C73—21no—
319C22⋊Q8×C73—21no—
320C22⋊Q8×C73D411yescharacteristic
321C22⋊Q8×C73C2311yescharacteristic
322C22⋊Q8×C73C2311yescharacteristic
323C22⋊Q8×C73C2311yescharacteristic
324C22⋊Q8×C73C2311yescharacteristic
325C22⋊Q8×C73C2311yescharacteristic
326#121×C73—21no—
327#121×C73—21no—
328#121×C73—21no—
329#121×C73—21no—
330#121×C73—21no—
331#121×C73—21no—
332#121×C73—21no—
333#121×C73—21no—
334#121×C73—21no—
335#121×C73—21no—
336#121×C73—21no—
337#121×C73—21no—
338#121×C73—21no—
339#121×C73—21no—
340#121×C73D411yescharacteristic
341#121×C73C2311yescharacteristic
342#121×C73C2311yescharacteristic
343#121×C73C2311yescharacteristic
344#121×C73C2311yescharacteristic
345#121×C73C2311yescharacteristic
346#121×C73C2311yescharacteristic
347#121×C73C2311yescharacteristic
348#120×C73—21no—
349#120×C73—21no—
350#120×C73—21no—
351#120×C73—21no—
352#120×C73—21no—
353#120×C73—21no—
354#120×C73—21no—
355#120×C73—21no—
356#120×C73—21no—
357#120×C73—21no—
358C4×Q8×C73—21no—
359C4×Q8×C73—21no—
360C4×Q8×C73—21no—
361C4×Q8×C73—21no—
362C4×Q8×C73C2311yescharacteristic
363C4×Q8×C73C2311yescharacteristic
364C4×Q8×C73C2311yescharacteristic
365C4×Q8×C73C2311yescharacteristic
366C4×Q8×C73C2311yescharacteristic
367C4×Q8×C73C2311yescharacteristic
368C4×D4×C73—21no—
369C4×D4×C73—21no—
370C4×D4×C73—21no—
371C4×D4×C73—21no—
372C4×D4×C73—21no—
373C4×D4×C73—21no—
374C4×D4×C73—21no—
375C4×D4×C73—21no—
376C4×D4×C73C2311yescharacteristic
377C4×D4×C73C2311yescharacteristic
378C4×D4×C73C2311yescharacteristic
379C4×D4×C73C2311yescharacteristic
380C4×D4×C73C2311yescharacteristic
381C4×D4×C73C2311yescharacteristic
382C4×D4×C73C2311yescharacteristic
383C4×D4×C73C2311yescharacteristic
384C4×D4×C73C2311yescharacteristic
385C4×D4×C73C2311yescharacteristic
386#117×C73—21no—
387#117×C73—21no—
388#117×C73—21no—
389#117×C73—21no—
390#117×C73C2311yescharacteristic
391#117×C73C2311yescharacteristic
392#117×C73C2311yescharacteristic
393#117×C73C2311yescharacteristic
394#117×C73C2311yescharacteristic
395#117×C73C2311yescharacteristic
396C2×C4⋊C4×C73—21no—
397C2×C4⋊C4×C73C2311yescharacteristic
398C2×C4⋊C4×C73C2311yescharacteristic
399C2×C22⋊C4×C73—21no—
400C2×C22⋊C4×C73—21no—
401C2×C22⋊C4×C73—21no—
402C2×C22⋊C4×C73—21no—
403C2×C42×C73C2311yescharacteristic
404#107×C73C2311yescharacteristic
405#107×C73C2311yescharacteristic
406#107×C73C2311yescharacteristic
407#107×C73C2311yescharacteristic
408#107×C73C2311yescharacteristic
409#107×C73C2311yescharacteristic
410#106×C73C2311yescharacteristic
411#106×C73C2311yescharacteristic
412#106×C73C2311yescharacteristic
413#106×C73C2311yescharacteristic
414#106×C73C2311yescharacteristic
415#106×C73C2311yescharacteristic
416C4⋊C8×C73C2311yescharacteristic
417C4⋊C8×C73C2311yescharacteristic
418C4⋊C8×C73C2311yescharacteristic
419C4⋊C8×C73C2311yescharacteristic
420C4⋊C8×C73C2311yescharacteristic
421C4⋊C8×C73C2311yescharacteristic
422#103×C73C2311yescharacteristic
423#103×C73C2311yescharacteristic
424#103×C73C2311yescharacteristic
425#103×C73C2311yescharacteristic
426#103×C73C2311yescharacteristic
427#103×C73C2311yescharacteristic
428#103×C73C2311yescharacteristic
429#103×C73C2311yescharacteristic
430#103×C73C2311yescharacteristic
431#103×C73C2311yescharacteristic
432#103×C73C2311yescharacteristic
433#103×C73C2311yescharacteristic
434#103×C73C2311yescharacteristic
435#103×C73C2311yescharacteristic
436#102×C73C2311yescharacteristic
437#102×C73C2311yescharacteristic
438#102×C73C2311yescharacteristic
439#102×C73C2311yescharacteristic
440#102×C73C2311yescharacteristic
441#102×C73C2311yescharacteristic
442#102×C73C2311yescharacteristic
443#102×C73C2311yescharacteristic
444#102×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
462C22⋊C8×C73C2311yescharacteristic
463C22⋊C8×C73C2311yescharacteristic
464C22⋊C8×C73C2311yescharacteristic
465C22⋊C8×C73C2311yescharacteristic
466C22⋊C8×C73C2311yescharacteristic
467C22⋊C8×C73C2311yescharacteristic
468#97×C73C2311yescharacteristic
469#97×C73C2311yescharacteristic
470#97×C73C2311yescharacteristic
471#97×C73C2311yescharacteristic
472C4×C8×C73C2311yescharacteristic
473C4×C8×C73C2311yescharacteristic
474C4×C8×C73C2311yescharacteristic
475C4×C8×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C24×C73—21no—
479C24×C73—21no—
480C24×C73—21no—
481#41×C73—41no—
482#41×C73—41no—
483#41×C73—41no—
484#41×C73—41no—
485#41×C73—82no—
486C2×Q8×C73—21no—
487C2×Q8×C73—21no—
488C2×Q8×C73—21no—
489C2×Q8×C73—21no—
490C2×Q8×C73—21no—
491C2×Q8×C73—21no—
492C2×Q8×C73—41no—
493C2×Q8×C73—41no—
494C2×Q8×C73C2×D411yescharacteristic
495C2×Q8×C73C2411yescharacteristic
496C2×Q8×C73C2411yescharacteristic
497C2×Q8×C73C2411yescharacteristic
498C2×D4×C73—21no—
499C2×D4×C73—21no—
500C2×D4×C73—21no—
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—41no—
517C2×D4×C73—41no—
518C2×D4×C73—41no—
519C2×D4×C73—41no—
520C2×D4×C73—41no—
521C2×D4×C73—41no—
522C2×D4×C73—82no—
523C2×D4×C73—82no—
524C2×D4×C73C2×D411yescharacteristic
525C2×D4×C73C2×D411yescharacteristic
526C2×D4×C73C2×D411yescharacteristic
527C2×D4×C73C2411yescharacteristic
528C2×D4×C73C2411yescharacteristic
529C2×D4×C73C2411yescharacteristic
530C2×D4×C73C2411yescharacteristic
531C2×D4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
545C22×C4×C73C2×D411yescharacteristic
546C22×C4×C73C2411yescharacteristic
547C22×C4×C73C2411yescharacteristic
548C22×C4×C73C2411yescharacteristic
549Q16×C73—41no—
550Q16×C73—41no—
551SD16×C73—41no—
552SD16×C73—41no—
553SD16×C73—41no—
554SD16×C73—41no—
555SD16×C73—41no—
556SD16×C73—41no—
557D8×C73—41no—
558D8×C73—41no—
559D8×C73—41no—
560D8×C73—41no—
561M16×C73—41no—
562M16×C73—41no—
563M16×C73—41no—
564M16×C73—41no—
565C2×C8×C73—41no—
566C2×C8×C73—41no—
567C2×C8×C73C2411yescharacteristic
568C2×C8×C73C2411yescharacteristic
569C2×C8×C73C2411yescharacteristic
570C2×C8×C73C2411yescharacteristic
571C2×C8×C73C2411yescharacteristic
572C2×C8×C73C2411yescharacteristic
573C2×C8×C73C2411yescharacteristic
574C2×C8×C73C2411yescharacteristic
575C4⋊C4×C73—21no—
576C4⋊C4×C73—21no—
577C4⋊C4×C73—21no—
578C4⋊C4×C73—21no—
579C4⋊C4×C73—21no—
580C4⋊C4×C73—21no—
581C4⋊C4×C73—21no—
582C4⋊C4×C73—21no—
583C4⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
603C4⋊C4×C73C2×D411yescharacteristic
604C4⋊C4×C73C2×D411yescharacteristic
605C4⋊C4×C73C2×D411yescharacteristic
606C4⋊C4×C73C2×D411yescharacteristic
607C4⋊C4×C73C2×D411yescharacteristic
608C4⋊C4×C73C2×D411yescharacteristic
609C4⋊C4×C73C2×D411yescharacteristic
610C4⋊C4×C73C2×D411yescharacteristic
611C4⋊C4×C73C2×D411yescharacteristic
612C4⋊C4×C73C2411yescharacteristic
613C4⋊C4×C73C2411yescharacteristic
614C4⋊C4×C73C2411yescharacteristic
615C4⋊C4×C73C2411yescharacteristic
616C4⋊C4×C73C2411yescharacteristic
617C4⋊C4×C73C2411yescharacteristic
618C4⋊C4×C73C2411yescharacteristic
619C4⋊C4×C73C2411yescharacteristic
620C22⋊C4×C73—21no—
621C22⋊C4×C73—21no—
622C22⋊C4×C73—21no—
623C22⋊C4×C73—21no—
624C22⋊C4×C73—21no—
625C22⋊C4×C73—21no—
626C22⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
658C22⋊C4×C73C2×D411yescharacteristic
659C22⋊C4×C73C2×D411yescharacteristic
660C22⋊C4×C73C2×D411yescharacteristic
661C22⋊C4×C73C2×D411yescharacteristic
662C22⋊C4×C73C2×D411yescharacteristic
663C22⋊C4×C73C2×D411yescharacteristic
664C22⋊C4×C73C2×D411yescharacteristic
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C42×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73—21no—
672C42×C73—21no—
673C42×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73C2×D411yescharacteristic
677C42×C73C2×D411yescharacteristic
678C42×C73C2411yescharacteristic
679C42×C73C2411yescharacteristic
680C42×C73C2411yescharacteristic
681C42×C73C2411yescharacteristic
682C23×C73—21no—
683C23×C73—21no—
684C23×C73—21no—
685C23×C73—21no—
686C23×C73—21no—
687C23×C73—42no—
688C23×C73—81no—
689C23×C73—81no—
690C23×C73—81no—
691C23×C73—81no—
692C23×C73—81no—
693C23×C73—81no—
694C23×C73—81no—
695C23×C73—81no—
696C23×C73C22×D411yescharacteristic
697C23×C73C22×D411yescharacteristic
698C23×C73C22×D411yescharacteristic
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—41no—
706Q8×C73—81no—
707Q8×C73—81no—
708Q8×C73—81no—
709Q8×C73—81no—
710Q8×C73—81no—
711Q8×C73—81no—
712D4×C73—21no—
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—81no—
728D4×C73—81no—
729D4×C73—81no—
730D4×C73—81no—
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×C73—81no—
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—81no—
763C2×C4×C73—81no—
764C2×C4×C73—81no—
765C2×C4×C73—81no—
766C2×C4×C73—81no—
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×C73C22×D411yescharacteristic
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C22×D411yescharacteristic
777C2×C4×C73C22×D411yescharacteristic
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C22×D411yescharacteristic
780C2×C4×C73C22×D411yescharacteristic
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C2511yescharacteristic
786C8×C73—21no—
787C8×C73—21no—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792C8×C73—21no—
793C8×C73—21no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—21no—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—162no—
819C22×C73—162no—
820C22×C73—162no—
821C22×C73C23×D411yescharacteristic
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—21no—
827C4×C73—21no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—21no—
832C4×C73—21no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73—41no—
838C4×C73—41no—
839C4×C73—41no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73#58511yescharacteristic
845C4×C73#58511yescharacteristic
846#62614C7311yesmaximal, characteristic, direct product factor, Sylow
847C2×C73—41no—
848C2×C73—41no—
849C2×C73—41no—
850C2×C73—81no—
851C2×C73—81no—
852C2×C73—81no—
853C2×C73—81no—
854C2×C73—81no—
855C2×C73#350011yescharacteristic
856C2×C73#358411yescharacteristic
857C2×C73#358511yescharacteristic
858#3565C2×C7311yescharacteristic, complemented
859#3558C2×C7311yescharacteristic, complemented
860#3371C2×C7311yescharacteristic, complemented
861#3370C2×C7311yescharacteristic, complemented
862#3365C2×C7311yescharacteristic, complemented
863#3361C2×C7311yescharacteristic, complemented
864#3327C2×C7311yescharacteristic, complemented
865#3326C2×C7311yescharacteristic, complemented
866#3325C2×C7311yescharacteristic, complemented
867#3324C2×C7311yescharacteristic, complemented
868#3323C2×C7311yescharacteristic, complemented
869#3322C2×C7311yescharacteristic, complemented
870#3321C2×C7311yescharacteristic, complemented
871#3318C2×C7311yescharacteristic, complemented
872#3313C2×C7311yescharacteristic, complemented
873#3310C2×C7311yescharacteristic, complemented
874#3297C2×C7311yescharacteristic, complemented
875#3296C2×C7311yescharacteristic, complemented
876#3244C2×C7311yescharacteristic, complemented
877#3243C2×C7311yescharacteristic, complemented
878#3228C2×C7311yescharacteristic, complemented
879#3224C2×C7311yescharacteristic, complemented
880#3224C2×C7311yescharacteristic, complemented
881#3211C2×C7311yescharacteristic, complemented
882#3175C2×C7311yescharacteristic, complemented
883#3173C2×C7311yescharacteristic, complemented
884#3171C2×C7311yescharacteristic, complemented
885#3140C2×C7311yescharacteristic, complemented
886#3136C2×C7311yescharacteristic, complemented
887#3136C2×C7311yescharacteristic, complemented
888#2969C2×C7311yescharacteristic, complemented
889C73#6261411yescharacteristic, direct product factor, Sylow
890#563—21no—
891#562—21no—
892#562—21no—
893H(3,𝔽4)—21no—
894#559C22×C7311yescharacteristic
895#559C22×C7311yescharacteristic
896#557C22×C7311yescharacteristic, complemented
897#556—21no—
898#556C22×C7311yescharacteristic, complemented
899#555C22×C7311yescharacteristic, complemented
900#554C22×C7311yescharacteristic, complemented
901#553C22×C7311yescharacteristic, complemented
902#553C22×C7311yescharacteristic, complemented
903#552—21no—
904#552C22×C7311yescharacteristic, complemented
905#552C22×C7311yescharacteristic, complemented
906#548C22×C7311yescharacteristic
907#548C22×C7311yescharacteristic
908#546—21no—
909#546—21no—
910#546C22×C7311yescharacteristic
911#546C22×C7311yescharacteristic
912D42C22×C7311yescharacteristic
913D42C22×C7311yescharacteristic
914#544C22×C7311yescharacteristic, complemented
915#544C22×C7311yescharacteristic, complemented
916#542—21no—
917#542—21no—
918#542C22×C7311yescharacteristic
919#542C22×C7311yescharacteristic
920#542C22×C7311yescharacteristic, complemented
921#542C22×C7311yescharacteristic, complemented
922#541—21no—
923#539—21no—
924#538—21no—
925#538—21no—
926#538—21no—
927#535C22×C7311yescharacteristic
928#535C22×C7311yescharacteristic
929#534—21no—
930#533C22×C7311yescharacteristic, complemented
931#532C22×C7311yescharacteristic
932#529C22×C7311yescharacteristic
933#529C22×C7311yescharacteristic, complemented
934C2×#124C22×C7311yescharacteristic
935#501C22×C7311yescharacteristic, complemented
936#500C22×C7311yescharacteristic, complemented
937#498C22×C7311yescharacteristic, complemented
938#496C22×C7311yescharacteristic, complemented
939#495C22×C7311yescharacteristic, complemented
940#495C22×C7311yescharacteristic, complemented
941#490C22×C7311yescharacteristic
942#490C22×C7311yescharacteristic
943#490C22×C7311yescharacteristic, complemented
944#489C22×C7311yescharacteristic, complemented
945#489C22×C7311yescharacteristic, complemented
946#489C22×C7311yescharacteristic, complemented
947#489C22×C7311yescharacteristic, complemented
948#489C22×C7311yescharacteristic, complemented
949#489C22×C7311yescharacteristic, complemented
950#489C22×C7311yescharacteristic, complemented
951#488C22×C7311yescharacteristic, complemented
952#488C22×C7311yescharacteristic, complemented
953#488C22×C7311yescharacteristic, complemented
954#488C22×C7311yescharacteristic, complemented
955#488C22×C7311yescharacteristic, complemented
956#488C22×C7311yescharacteristic, complemented
957#488C22×C7311yescharacteristic, complemented
958#488C22×C7311yescharacteristic, complemented
959#486C22×C7311yescharacteristic
960#486C22×C7311yescharacteristic
961#486C22×C7311yescharacteristic, complemented
962#486C22×C7311yescharacteristic, complemented
963#485C22×C7311yescharacteristic, complemented
964#485C22×C7311yescharacteristic, complemented
965#484C22×C7311yescharacteristic, complemented
966#483C22×C7311yescharacteristic, complemented
967#482C22×C7311yescharacteristic
968#482C22×C7311yescharacteristic
969#482C22×C7311yescharacteristic, complemented
970#482C22×C7311yescharacteristic, complemented
971#482C22×C7311yescharacteristic, complemented
972#482C22×C7311yescharacteristic, complemented
973#481C22×C7311yescharacteristic
974#480C22×C7311yescharacteristic
975#479C22×C7311yescharacteristic, complemented
976#479C22×C7311yescharacteristic, complemented
977#478C22×C7311yescharacteristic, complemented
978#478C22×C7311yescharacteristic, complemented
979#478C22×C7311yescharacteristic, complemented
980#478C22×C7311yescharacteristic, complemented
981#478C22×C7311yescharacteristic, complemented
982#478C22×C7311yescharacteristic, complemented
983#477C22×C7311yescharacteristic, complemented
984#476C22×C7311yescharacteristic, complemented
985#475C22×C7311yescharacteristic, complemented
986#474C22×C7311yescharacteristic, complemented
987#470C22×C7311yescharacteristic, complemented
988#469C22×C7311yescharacteristic
989#469C22×C7311yescharacteristic, complemented
990#469C22×C7311yescharacteristic, complemented
991#468C22×C7311yescharacteristic
992#468C22×C7311yescharacteristic, complemented
993#468C22×C7311yescharacteristic, complemented
994#468C22×C7311yescharacteristic, complemented
995#467C22×C7311yescharacteristic, complemented
996#466C22×C7311yescharacteristic
997#465C22×C7311yescharacteristic
998#465C22×C7311yescharacteristic, complemented
999#464C22×C7311yescharacteristic, complemented
1000#464C22×C7311yescharacteristic, complemented
1001#464C22×C7311yescharacteristic, complemented
1002#464C22×C7311yescharacteristic, complemented
1003#463C22×C7311yescharacteristic, complemented
1004#463C22×C7311yescharacteristic, complemented
1005#463C22×C7311yescharacteristic, complemented
1006#463C22×C7311yescharacteristic, complemented
1007#460C22×C7311yescharacteristic
1008#460C22×C7311yescharacteristic
1009#459C22×C7311yescharacteristic
1010#459C22×C7311yescharacteristic
1011#452C22×C7311yescharacteristic, complemented
1012#452C22×C7311yescharacteristic, complemented
1013#451C22×C7311yescharacteristic, complemented
1014#450C22×C7311yescharacteristic
1015#450C22×C7311yescharacteristic, complemented
1016#450C22×C7311yescharacteristic, complemented
1017#449C22×C7311yescharacteristic, complemented
1018#449C22×C7311yescharacteristic, complemented
1019#448C22×C7311yescharacteristic, complemented
1020#447C22×C7311yescharacteristic
1021#447C22×C7311yescharacteristic, complemented
1022#447C22×C7311yescharacteristic, complemented
1023#446C22×C7311yescharacteristic, complemented
1024C8×Q8C22×C7311yescharacteristic, complemented
1025#442C22×C7311yescharacteristic, complemented
1026#441C22×C7311yescharacteristic, complemented
1027#440C22×C7311yescharacteristic, complemented
1028#440C22×C7311yescharacteristic, complemented
1029C4×Q16C22×C7311yescharacteristic, complemented
1030C4×SD16C22×C7311yescharacteristic, complemented
1031C4×SD16C22×C7311yescharacteristic, complemented
1032C4×SD16C22×C7311yescharacteristic, complemented
1033C4×SD16C22×C7311yescharacteristic, complemented
1034C4×D8C22×C7311yescharacteristic, complemented
1035C4×D8C22×C7311yescharacteristic, complemented
1036C4×D8C22×C7311yescharacteristic, complemented
1037#436C22×C7311yescharacteristic, complemented
1038#436C22×C7311yescharacteristic, complemented
1039#436C22×C7311yescharacteristic, complemented
1040#435C22×C7311yescharacteristic, complemented
1041#435C22×C7311yescharacteristic, complemented
1042C8×D4C22×C7311yescharacteristic, complemented
1043#433C22×C7311yescharacteristic, complemented
1044#433C22×C7311yescharacteristic, complemented
1045#431C22×C7311yescharacteristic, complemented
1046#419C22×C7311yescharacteristic, complemented
1047#419C22×C7311yescharacteristic, complemented
1048#418C22×C7311yescharacteristic
1049#418C22×C7311yescharacteristic
1050#418C22×C7311yescharacteristic, complemented
1051#418C22×C7311yescharacteristic, complemented
1052#417C22×C7311yescharacteristic, complemented
1053#417C22×C7311yescharacteristic, complemented
1054#416C22×C7311yescharacteristic, complemented
1055#416C22×C7311yescharacteristic, complemented
1056C2×#102C22×C7311yescharacteristic, complemented
1057C2×#102C22×C7311yescharacteristic, complemented
1058#405C22×C7311yescharacteristic, complemented
1059#405C22×C7311yescharacteristic, complemented
1060C4×M16C22×C7311yescharacteristic, complemented
1061C2×#41—21no—
1062C2×#41C23×C7311yescharacteristic
1063C2×#41C23×C7311yescharacteristic
1064C22×Q8C23×C7311yescharacteristic
1065C22×D4—21no—
1066C22×D4—21no—
1067C22×D4C23×C7311yescharacteristic
1068C22×D4C23×C7311yescharacteristic
1069C22×D4C23×C7311yescharacteristic
1070C2×Q16C23×C7311yescharacteristic
1071C2×Q16C23×C7311yescharacteristic
1072C2×SD16C23×C7311yescharacteristic
1073C2×SD16C23×C7311yescharacteristic
1074C2×SD16C23×C7311yescharacteristic
1075C2×SD16C23×C7311yescharacteristic
1076C2×SD16C23×C7311yescharacteristic
1077C2×SD16C23×C7311yescharacteristic
1078C2×D8C23×C7311yescharacteristic
1079C2×D8C23×C7311yescharacteristic
1080C2×D8C23×C7311yescharacteristic
1081C2×D8C23×C7311yescharacteristic
1082C2×M16C23×C7311yescharacteristic
1083C2×M16C23×C7311yescharacteristic
1084C2×M16C23×C7311yescharacteristic
1085C2×M16C23×C7311yescharacteristic
1086C22×C8C23×C7311yescharacteristic
1087C22×C8C23×C7311yescharacteristic
1088C4⋊Q8—21no—
1089C4⋊Q8—21no—
1090C4⋊Q8—21no—
1091C4⋊Q8C23×C7311yescharacteristic
1092C4⋊Q8C23×C7311yescharacteristic
1093C4⋊Q8C23×C7311yescharacteristic
1094C4⋊Q8C23×C7311yescharacteristic
1095C4⋊Q8C23×C7311yescharacteristic
1096#127C23×C7311yescharacteristic
1097#127C23×C7311yescharacteristic
1098#127C23×C7311yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126D4×C7311yescharacteristic
1111#126D4×C7311yescharacteristic
1112#125—21no—
1113#125—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125D4×C7311yescharacteristic
1119#125C23×C7311yescharacteristic
1120#125C23×C7311yescharacteristic
1121#125C23×C7311yescharacteristic
1122#125C23×C7311yescharacteristic
1123#125C23×C7311yescharacteristic
1124#124—21no—
1125#124—21no—
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#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124D4×C7311yescharacteristic
1139#124C23×C7311yescharacteristic
1140#124C23×C7311yescharacteristic
1141#124C23×C7311yescharacteristic
1142#124C23×C7311yescharacteristic
1143#124C23×C7311yescharacteristic
1144#124C23×C7311yescharacteristic
1145#124C23×C7311yescharacteristic
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#123—21no—
1160#123—21no—
1161#123D4×C7311yescharacteristic
1162#123D4×C7311yescharacteristic
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8D4×C7311yescharacteristic
1179C22⋊Q8C23×C7311yescharacteristic
1180C22⋊Q8C23×C7311yescharacteristic
1181C22⋊Q8C23×C7311yescharacteristic
1182C22⋊Q8C23×C7311yescharacteristic
1183C22⋊Q8C23×C7311yescharacteristic
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121D4×C7311yescharacteristic
1199#121C23×C7311yescharacteristic
1200#121C23×C7311yescharacteristic
1201#121C23×C7311yescharacteristic
1202#121C23×C7311yescharacteristic
1203#121C23×C7311yescharacteristic
1204#121C23×C7311yescharacteristic
1205#121C23×C7311yescharacteristic
1206#120—21no—
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—21no—
1211#120—21no—
1212#120—21no—
1213#120—21no—
1214#120—21no—
1215#120—21no—
1216C4×Q8—21no—
1217C4×Q8—21no—
1218C4×Q8—21no—
1219C4×Q8—21no—
1220C4×Q8C23×C7311yescharacteristic
1221C4×Q8C23×C7311yescharacteristic
1222C4×Q8C23×C7311yescharacteristic
1223C4×Q8C23×C7311yescharacteristic
1224C4×Q8C23×C7311yescharacteristic
1225C4×Q8C23×C7311yescharacteristic
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
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
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117C23×C7311yescharacteristic
1249#117C23×C7311yescharacteristic
1250#117C23×C7311yescharacteristic
1251#117C23×C7311yescharacteristic
1252#117C23×C7311yescharacteristic
1253#117C23×C7311yescharacteristic
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4C23×C7311yescharacteristic
1256C2×C4⋊C4C23×C7311yescharacteristic
1257C2×C22⋊C4—21no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—21no—
1261C2×C42C23×C7311yescharacteristic
1262#107C23×C7311yescharacteristic
1263#107C23×C7311yescharacteristic
1264#107C23×C7311yescharacteristic
1265#107C23×C7311yescharacteristic
1266#107C23×C7311yescharacteristic
1267#107C23×C7311yescharacteristic
1268#106C23×C7311yescharacteristic
1269#106C23×C7311yescharacteristic
1270#106C23×C7311yescharacteristic
1271#106C23×C7311yescharacteristic
1272#106C23×C7311yescharacteristic
1273#106C23×C7311yescharacteristic
1274C4⋊C8C23×C7311yescharacteristic
1275C4⋊C8C23×C7311yescharacteristic
1276C4⋊C8C23×C7311yescharacteristic
1277C4⋊C8C23×C7311yescharacteristic
1278C4⋊C8C23×C7311yescharacteristic
1279C4⋊C8C23×C7311yescharacteristic
1280#103C23×C7311yescharacteristic
1281#103C23×C7311yescharacteristic
1282#103C23×C7311yescharacteristic
1283#103C23×C7311yescharacteristic
1284#103C23×C7311yescharacteristic
1285#103C23×C7311yescharacteristic
1286#103C23×C7311yescharacteristic
1287#103C23×C7311yescharacteristic
1288#103C23×C7311yescharacteristic
1289#103C23×C7311yescharacteristic
1290#103C23×C7311yescharacteristic
1291#103C23×C7311yescharacteristic
1292#103C23×C7311yescharacteristic
1293#103C23×C7311yescharacteristic
1294#102C23×C7311yescharacteristic
1295#102C23×C7311yescharacteristic
1296#102C23×C7311yescharacteristic
1297#102C23×C7311yescharacteristic
1298#102C23×C7311yescharacteristic
1299#102C23×C7311yescharacteristic
1300#102C23×C7311yescharacteristic
1301#102C23×C7311yescharacteristic
1302#102C23×C7311yescharacteristic
1303#102C23×C7311yescharacteristic
1304#102C23×C7311yescharacteristic
1305#102C23×C7311yescharacteristic
1306#102C23×C7311yescharacteristic
1307#102C23×C7311yescharacteristic
1308#102C23×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
1320C22⋊C8C23×C7311yescharacteristic
1321C22⋊C8C23×C7311yescharacteristic
1322C22⋊C8C23×C7311yescharacteristic
1323C22⋊C8C23×C7311yescharacteristic
1324C22⋊C8C23×C7311yescharacteristic
1325C22⋊C8C23×C7311yescharacteristic
1326#97C23×C7311yescharacteristic
1327#97C23×C7311yescharacteristic
1328#97C23×C7311yescharacteristic
1329#97C23×C7311yescharacteristic
1330C4×C8C23×C7311yescharacteristic
1331C4×C8C23×C7311yescharacteristic
1332C4×C8C23×C7311yescharacteristic
1333C4×C8C23×C7311yescharacteristic
1334C4×C8C23×C7311yescharacteristic
1335C4×C8C23×C7311yescharacteristic
1336C24—21no—
1337C24—21no—
1338C24—21no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—82no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—41no—
1351C2×Q8—41no—
1352C2×Q8C2×D4×C7311yescharacteristic
1353C2×Q8C24×C7311yescharacteristic
1354C2×Q8C24×C7311yescharacteristic
1355C2×Q8C24×C7311yescharacteristic
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
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—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—82no—
1381C2×D4—82no—
1382C2×D4C2×D4×C7311yescharacteristic
1383C2×D4C2×D4×C7311yescharacteristic
1384C2×D4C2×D4×C7311yescharacteristic
1385C2×D4C24×C7311yescharacteristic
1386C2×D4C24×C7311yescharacteristic
1387C2×D4C24×C7311yescharacteristic
1388C2×D4C24×C7311yescharacteristic
1389C2×D4C24×C7311yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
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×C4C2×D4×C7311yescharacteristic
1403C22×C4C2×D4×C7311yescharacteristic
1404C22×C4C24×C7311yescharacteristic
1405C22×C4C24×C7311yescharacteristic
1406C22×C4C24×C7311yescharacteristic
1407Q16—41no—
1408Q16—41no—
1409SD16—41no—
1410SD16—41no—
1411SD16—41no—
1412SD16—41no—
1413SD16—41no—
1414SD16—41no—
1415D8—41no—
1416D8—41no—
1417D8—41no—
1418D8—41no—
1419M16—41no—
1420M16—41no—
1421M16—41no—
1422M16—41no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8C24×C7311yescharacteristic
1426C2×C8C24×C7311yescharacteristic
1427C2×C8C24×C7311yescharacteristic
1428C2×C8C24×C7311yescharacteristic
1429C2×C8C24×C7311yescharacteristic
1430C2×C8C24×C7311yescharacteristic
1431C2×C8C24×C7311yescharacteristic
1432C2×C8C24×C7311yescharacteristic
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
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⋊C4C2×D4×C7311yescharacteristic
1461C4⋊C4C2×D4×C7311yescharacteristic
1462C4⋊C4C2×D4×C7311yescharacteristic
1463C4⋊C4C2×D4×C7311yescharacteristic
1464C4⋊C4C2×D4×C7311yescharacteristic
1465C4⋊C4C2×D4×C7311yescharacteristic
1466C4⋊C4C2×D4×C7311yescharacteristic
1467C4⋊C4C2×D4×C7311yescharacteristic
1468C4⋊C4C2×D4×C7311yescharacteristic
1469C4⋊C4C2×D4×C7311yescharacteristic
1470C4⋊C4C24×C7311yescharacteristic
1471C4⋊C4C24×C7311yescharacteristic
1472C4⋊C4C24×C7311yescharacteristic
1473C4⋊C4C24×C7311yescharacteristic
1474C4⋊C4C24×C7311yescharacteristic
1475C4⋊C4C24×C7311yescharacteristic
1476C4⋊C4C24×C7311yescharacteristic
1477C4⋊C4C24×C7311yescharacteristic
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
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⋊C4C2×D4×C7311yescharacteristic
1516C22⋊C4C2×D4×C7311yescharacteristic
1517C22⋊C4C2×D4×C7311yescharacteristic
1518C22⋊C4C2×D4×C7311yescharacteristic
1519C22⋊C4C2×D4×C7311yescharacteristic
1520C22⋊C4C2×D4×C7311yescharacteristic
1521C22⋊C4C2×D4×C7311yescharacteristic
1522C22⋊C4C2×D4×C7311yescharacteristic
1523C22⋊C4C2×D4×C7311yescharacteristic
1524C22⋊C4C2×D4×C7311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42C2×D4×C7311yescharacteristic
1535C42C2×D4×C7311yescharacteristic
1536C42C24×C7311yescharacteristic
1537C42C24×C7311yescharacteristic
1538C42C24×C7311yescharacteristic
1539C42C24×C7311yescharacteristic
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—42no—
1546C23—81no—
1547C23—81no—
1548C23—81no—
1549C23—81no—
1550C23—81no—
1551C23—81no—
1552C23—81no—
1553C23—81no—
1554C23C22×D4×C7311yescharacteristic
1555C23C22×D4×C7311yescharacteristic
1556C23C22×D4×C7311yescharacteristic
1557Q8—21no—
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—41no—
1564Q8—81no—
1565Q8—81no—
1566Q8—81no—
1567Q8—81no—
1568Q8—81no—
1569Q8—81no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
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—41no—
1619C2×C4—41no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4C22×D4×C7311yescharacteristic
1633C2×C4C22×D4×C7311yescharacteristic
1634C2×C4C22×D4×C7311yescharacteristic
1635C2×C4C22×D4×C7311yescharacteristic
1636C2×C4C22×D4×C7311yescharacteristic
1637C2×C4C22×D4×C7311yescharacteristic
1638C2×C4C22×D4×C7311yescharacteristic
1639C2×C4C22×D4×C7311yescharacteristic
1640C2×C4C22×D4×C7311yescharacteristic
1641C2×C4C22×D4×C7311yescharacteristic
1642C2×C4C22×D4×C7311yescharacteristic
1643C2×C4C25×C7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—162no—
1677C22—162no—
1678C22—162no—
1679C22C23×D4×C7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4#585×C7311yescharacteristic
1703C4#585×C7311yescharacteristic
1704C2—41no—
1705C2—41no—
1706C2—41no—
1707C2—81no—
1708C2—81no—
1709C2—81no—
1710C2—81no—
1711C2—81no—
1712C2C73×#350011yescharacteristic
1713C2C73×#358411yescharacteristic
1714C2C73×#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×#3565C2semidirect
2. C73×#3558C2semidirect
3. C73×#3371C2semidirect
4. C73×#3370C2semidirect
5. C73×#3365C2semidirect
6. C73×#3361C2semidirect
7. C73×#3327C2semidirect
8. C73×#3326C2semidirect
9. C73×#3325C2semidirect
10. C73×#3324C2semidirect
11. C73×#3323C2semidirect
12. C73×#3322C2semidirect
13. C73×#3321C2semidirect
14. C73×#3318C2semidirect
15. C73×#3313C2semidirect
16. C73×#3310C2semidirect
17. C73×#3297C2semidirect
18. C73×#3296C2semidirect
19. C73×#3244C2semidirect
20. C73×#3243C2semidirect
21. C73×#3228C2semidirect
22. C73×#3224C2semidirect
23. C73×#3224C2semidirect
24. C73×#3211C2semidirect
25. C73×#3175C2semidirect
26. C73×#3173C2semidirect
27. C73×#3171C2semidirect
28. C73×#3140C2semidirect
29. C73×#3136C2semidirect
30. C73×#3136C2semidirect
31. C73×#2969C2semidirect
38. #557×C73C22semidirect
40. #556×C73C22semidirect
41. #555×C73C22semidirect
42. #554×C73C22semidirect
43. #553×C73C22semidirect
44. #553×C73C22semidirect
46. #552×C73C22semidirect
47. #552×C73C22semidirect
56. #544×C73C22semidirect
57. #544×C73C22semidirect
62. #542×C73C22semidirect
63. #542×C73C22semidirect
72. #533×C73C22semidirect
75. #529×C73C22semidirect
77. #501×C73C22semidirect
78. #500×C73C22semidirect
79. #498×C73C22semidirect
80. #496×C73C22semidirect
81. #495×C73C22semidirect
82. #495×C73C22semidirect
85. #490×C73C22semidirect
86. #489×C73C22semidirect
87. #489×C73C22semidirect
88. #489×C73C22semidirect
89. #489×C73C22semidirect
90. #489×C73C22semidirect
91. #489×C73C22semidirect
92. #489×C73C22semidirect
93. #488×C73C22semidirect
94. #488×C73C22semidirect
95. #488×C73C22semidirect
96. #488×C73C22semidirect
97. #488×C73C22semidirect
98. #488×C73C22semidirect
99. #488×C73C22semidirect
100. #488×C73C22semidirect
103. #486×C73C22semidirect
104. #486×C73C22semidirect
105. #485×C73C22semidirect
106. #485×C73C22semidirect
107. #484×C73C22semidirect
108. #483×C73C22semidirect
111. #482×C73C22semidirect
112. #482×C73C22semidirect
113. #482×C73C22semidirect
114. #482×C73C22semidirect
117. #479×C73C22semidirect
118. #479×C73C22semidirect
119. #478×C73C22semidirect
120. #478×C73C22semidirect
121. #478×C73C22semidirect
122. #478×C73C22semidirect
123. #478×C73C22semidirect
124. #478×C73C22semidirect
125. #477×C73C22semidirect
126. #476×C73C22semidirect
127. #475×C73C22semidirect
128. #474×C73C22semidirect
129. #470×C73C22semidirect
131. #469×C73C22semidirect
132. #469×C73C22semidirect
134. #468×C73C22semidirect
135. #468×C73C22semidirect
136. #468×C73C22semidirect
137. #467×C73C22semidirect
140. #465×C73C22semidirect
141. #464×C73C22semidirect
142. #464×C73C22semidirect
143. #464×C73C22semidirect
144. #464×C73C22semidirect
145. #463×C73C22semidirect
146. #463×C73C22semidirect
147. #463×C73C22semidirect
148. #463×C73C22semidirect
153. #452×C73C22semidirect
154. #452×C73C22semidirect
155. #451×C73C22semidirect
157. #450×C73C22semidirect
158. #450×C73C22semidirect
159. #449×C73C22semidirect
160. #449×C73C22semidirect
161. #448×C73C22semidirect
163. #447×C73C22semidirect
164. #447×C73C22semidirect
165. #446×C73C22semidirect
166. C8×Q8×C73C22semidirect
167. #442×C73C22semidirect
168. #441×C73C22semidirect
169. #440×C73C22semidirect
170. #440×C73C22semidirect
171. C4×Q16×C73C22semidirect
172. C4×SD16×C73C22semidirect
173. C4×SD16×C73C22semidirect
174. C4×SD16×C73C22semidirect
175. C4×SD16×C73C22semidirect
176. C4×D8×C73C22semidirect
177. C4×D8×C73C22semidirect
178. C4×D8×C73C22semidirect
179. #436×C73C22semidirect
180. #436×C73C22semidirect
181. #436×C73C22semidirect
182. #435×C73C22semidirect
183. #435×C73C22semidirect
184. C8×D4×C73C22semidirect
185. #433×C73C22semidirect
186. #433×C73C22semidirect
187. #431×C73C22semidirect
188. #419×C73C22semidirect
189. #419×C73C22semidirect
192. #418×C73C22semidirect
193. #418×C73C22semidirect
194. #417×C73C22semidirect
195. #417×C73C22semidirect
196. #416×C73C22semidirect
197. #416×C73C22semidirect
198. C2×#102×C73C22semidirect
199. C2×#102×C73C22semidirect
200. #405×C73C22semidirect
201. #405×C73C22semidirect
202. C4×M16×C73C22semidirect
846. #62614C73direct (N × H)
858. #3565C2×C73semidirect
859. #3558C2×C73semidirect
860. #3371C2×C73semidirect
861. #3370C2×C73semidirect
862. #3365C2×C73semidirect
863. #3361C2×C73semidirect
864. #3327C2×C73semidirect
865. #3326C2×C73semidirect
866. #3325C2×C73semidirect
867. #3324C2×C73semidirect
868. #3323C2×C73semidirect
869. #3322C2×C73semidirect
870. #3321C2×C73semidirect
871. #3318C2×C73semidirect
872. #3313C2×C73semidirect
873. #3310C2×C73semidirect
874. #3297C2×C73semidirect
875. #3296C2×C73semidirect
876. #3244C2×C73semidirect
877. #3243C2×C73semidirect
878. #3228C2×C73semidirect
879. #3224C2×C73semidirect
880. #3224C2×C73semidirect
881. #3211C2×C73semidirect
882. #3175C2×C73semidirect
883. #3173C2×C73semidirect
884. #3171C2×C73semidirect
885. #3140C2×C73semidirect
886. #3136C2×C73semidirect
887. #3136C2×C73semidirect
888. #2969C2×C73semidirect
889. C73#62614direct (N × H)
896. #557C22×C73semidirect
898. #556C22×C73semidirect
899. #555C22×C73semidirect
900. #554C22×C73semidirect
901. #553C22×C73semidirect
902. #553C22×C73semidirect
904. #552C22×C73semidirect
905. #552C22×C73semidirect
914. #544C22×C73semidirect
915. #544C22×C73semidirect
920. #542C22×C73semidirect
921. #542C22×C73semidirect
930. #533C22×C73semidirect
933. #529C22×C73semidirect
935. #501C22×C73semidirect
936. #500C22×C73semidirect
937. #498C22×C73semidirect
938. #496C22×C73semidirect
939. #495C22×C73semidirect
940. #495C22×C73semidirect
943. #490C22×C73semidirect
944. #489C22×C73semidirect
945. #489C22×C73semidirect
946. #489C22×C73semidirect
947. #489C22×C73semidirect
948. #489C22×C73semidirect
949. #489C22×C73semidirect
950. #489C22×C73semidirect
951. #488C22×C73semidirect
952. #488C22×C73semidirect
953. #488C22×C73semidirect
954. #488C22×C73semidirect
955. #488C22×C73semidirect
956. #488C22×C73semidirect
957. #488C22×C73semidirect
958. #488C22×C73semidirect
961. #486C22×C73semidirect
962. #486C22×C73semidirect
963. #485C22×C73semidirect
964. #485C22×C73semidirect
965. #484C22×C73semidirect
966. #483C22×C73semidirect
969. #482C22×C73semidirect
970. #482C22×C73semidirect
971. #482C22×C73semidirect
972. #482C22×C73semidirect
975. #479C22×C73semidirect
976. #479C22×C73semidirect
977. #478C22×C73semidirect
978. #478C22×C73semidirect
979. #478C22×C73semidirect
980. #478C22×C73semidirect
981. #478C22×C73semidirect
982. #478C22×C73semidirect
983. #477C22×C73semidirect
984. #476C22×C73semidirect
985. #475C22×C73semidirect
986. #474C22×C73semidirect
987. #470C22×C73semidirect
989. #469C22×C73semidirect
990. #469C22×C73semidirect
992. #468C22×C73semidirect
993. #468C22×C73semidirect
994. #468C22×C73semidirect
995. #467C22×C73semidirect
998. #465C22×C73semidirect
999. #464C22×C73semidirect
1000. #464C22×C73semidirect
1001. #464C22×C73semidirect
1002. #464C22×C73semidirect
1003. #463C22×C73semidirect
1004. #463C22×C73semidirect
1005. #463C22×C73semidirect
1006. #463C22×C73semidirect
1011. #452C22×C73semidirect
1012. #452C22×C73semidirect
1013. #451C22×C73semidirect
1015. #450C22×C73semidirect
1016. #450C22×C73semidirect
1017. #449C22×C73semidirect
1018. #449C22×C73semidirect
1019. #448C22×C73semidirect
1021. #447C22×C73semidirect
1022. #447C22×C73semidirect
1023. #446C22×C73semidirect
1024. C8×Q8C22×C73semidirect
1025. #442C22×C73semidirect
1026. #441C22×C73semidirect
1027. #440C22×C73semidirect
1028. #440C22×C73semidirect
1029. C4×Q16C22×C73semidirect
1030. C4×SD16C22×C73semidirect
1031. C4×SD16C22×C73semidirect
1032. C4×SD16C22×C73semidirect
1033. C4×SD16C22×C73semidirect
1034. C4×D8C22×C73semidirect
1035. C4×D8C22×C73semidirect
1036. C4×D8C22×C73semidirect
1037. #436C22×C73semidirect
1038. #436C22×C73semidirect
1039. #436C22×C73semidirect
1040. #435C22×C73semidirect
1041. #435C22×C73semidirect
1042. C8×D4C22×C73semidirect
1043. #433C22×C73semidirect
1044. #433C22×C73semidirect
1045. #431C22×C73semidirect
1046. #419C22×C73semidirect
1047. #419C22×C73semidirect
1050. #418C22×C73semidirect
1051. #418C22×C73semidirect
1052. #417C22×C73semidirect
1053. #417C22×C73semidirect
1054. #416C22×C73semidirect
1055. #416C22×C73semidirect
1056. C2×#102C22×C73semidirect
1057. C2×#102C22×C73semidirect
1058. #405C22×C73semidirect
1059. #405C22×C73semidirect
1060. C4×M16C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#35652
C73×#35582
C73×#33712
C73×#33702
C73×#33652
C73×#33612
C73×#33272
C73×#33262
C73×#33252
C73×#33242
C73×#33232
C73×#33222
C73×#33212
C73×#33182
C73×#33132
C73×#33102
C73×#32972
C73×#32962
C73×#32442
C73×#32432
C73×#32282
C73×#32242
C73×#32112
C73×#31752
C73×#31732
C73×#31712
C73×#31402
C73×#31362
C73×#29692
#6261473