Finite Group Databasebeta

← #33968831

Subgroups — #33968831

Order 18688.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623907C211yesmaximal, characteristic, complemented
2#22623890C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622588C211yesmaximal, characteristic, complemented
6#22622570C211yesmaximal, characteristic, complemented
7#22622541C211yesmaximal, characteristic, complemented
8#22622445C211yesmaximal, characteristic, complemented
9#22622441C211yesmaximal, characteristic, complemented
10#22621858C211yesmaximal, characteristic, complemented
11#22621854C211yesmaximal, characteristic, complemented
12#22621843C211yesmaximal, characteristic, complemented
13#22621772C211yesmaximal, characteristic, complemented
14#22621765C211yesmaximal, characteristic, complemented
15#22621750C211yesmaximal, characteristic, complemented
16#22621528C211yesmaximal, characteristic, complemented
17#22621463C211yesmaximal, characteristic, complemented
18#22621455C211yesmaximal, characteristic, complemented
19#22620603C211yesmaximal, characteristic, complemented
20#22620487C211yesmaximal, characteristic, complemented
21#22620206C211yesmaximal, characteristic, complemented
22#22620202C211yesmaximal, characteristic, complemented
23#22620182C211yesmaximal, characteristic, complemented
24#22620178C211yesmaximal, characteristic, complemented
25#22620091C211yesmaximal, characteristic, complemented
26#22620080C211yesmaximal, characteristic, complemented
27#22618902C211yesmaximal, characteristic, complemented
28#22618765C211yesmaximal, characteristic, complemented
29#22618758C211yesmaximal, characteristic, complemented
30C4×#14556614C211yesmaximal, characteristic, complemented
31C73×#3178C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556614C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989312C2211yescharacteristic, complemented
37#17989308C2211yescharacteristic
38#17989303C2211yescharacteristic
39#17989301C2211yescharacteristic
40#17989295C2211yescharacteristic
41#17989293C2211yescharacteristic, complemented
42#17989288—21no—
43#17989279C2211yescharacteristic, complemented
44#17989275—21no—
45#17989275C2211yescharacteristic, complemented
46#17989273—21no—
47#17989269—21no—
48#17989265—21no—
49#17989264—21no—
50#17989252C2211yescharacteristic
51#17989247—21no—
52#17989240C2211yescharacteristic, complemented
53#17989239C2211yescharacteristic
54#17989239C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989209C2211yescharacteristic
60#17989195C2211yescharacteristic, complemented
61#17989185—21no—
62#17989178—21no—
63#17989176—21no—
64#17989171—21no—
65#17989141C2211yescharacteristic, complemented
66#17989134C2211yescharacteristic
67#17989120—21no—
68#17989120—21no—
69#17989115C2211yescharacteristic
70#125×D73—21no—
71#124×D73—21no—
72#17989069C2211yescharacteristic, complemented
73#17989067C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic
77C4×#11924029C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988958C2211yescharacteristic
82#17988943C2211yescharacteristic, complemented
83#17988936C2211yescharacteristic, complemented
84#17988936C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988931C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic
97#17988903C2211yescharacteristic
98#17988890C2211yescharacteristic
99#17988885C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic
101#17988884C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic
104#17988876C2211yescharacteristic, complemented
105#17988874C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988870C2211yescharacteristic, complemented
108#17988869C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988842C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic
112#17988827C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic
114#17988819C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988795C2211yescharacteristic, complemented
123#17988791C2211yescharacteristic
124#17988791C2211yescharacteristic
125#17988790C2211yescharacteristic, complemented
126#17988789C2211yescharacteristic
127#17988789C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic
129#17988781C2211yescharacteristic
130#17988752C2211yescharacteristic
131#17988748C2211yescharacteristic
132#17988748C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic
135#17988737C2211yescharacteristic
136#17988737C2211yescharacteristic
137#17988736C2211yescharacteristic
138#17988735C2211yescharacteristic
139#17988735C2211yescharacteristic, complemented
140#17988731C2211yescharacteristic, complemented
141#17988730C2211yescharacteristic
142#17988715C2211yescharacteristic, complemented
143C8×Dic146C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988692C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic, complemented
152#17988685C2211yescharacteristic
153#17988685C2211yescharacteristic, complemented
154Q16×Dic73C2211yescharacteristic, complemented
155C4×#11924017C2211yescharacteristic
156C4×#11924017C2211yescharacteristic, complemented
157C4×#11924015C2211yescharacteristic
158C4×#11924015C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic, complemented
160C4×#11924016C2211yescharacteristic, complemented
161#17988672C2211yescharacteristic
162#17988672C2211yescharacteristic
163#17988672C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic
165C4×D584C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic
169#17988660C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988624C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic
182#17988582C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#17988541C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic
189#541×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#497×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#487×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic
196#467×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×Q16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#405×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×Q8×D73—21no—
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212#14556619—24no—
213#14556618—24no—
214#14556614—24no—
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556587C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586D411yescharacteristic
242#14556585—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584D411yescharacteristic
246#14556583—21no—
247#14556582—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581D411yescharacteristic
257#14556580—21no—
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556578—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577D411yescharacteristic
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576D411yescharacteristic
275#14556575—21no—
276#14556575—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573D411yescharacteristic
282#14556571—21no—
283#14556571—21no—
284#14556571C2311yescharacteristic
285#14556571C2311yescharacteristic
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569D411yescharacteristic
293#14556568—21no—
294#14556567—21no—
295#14556567C2311yescharacteristic
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556566—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564D411yescharacteristic
309#14556563—21no—
310#14556562C2311yescharacteristic
311#14556561—21no—
312#14556561—21no—
313#14556561—21no—
314#14556559—21no—
315Q8×Dic73C2311yescharacteristic
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318C4×Dic146—21no—
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556—21no—
324C4×D292—21no—
325C4×D292—21no—
326C4×D292—21no—
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335#14556553—21no—
336#14556553—21no—
337#14556553—21no—
338#14556553—21no—
339#14556553—21no—
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550C2311yescharacteristic
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556548C2311yescharacteristic
365#14556547—21no—
366#14556547—21no—
367C2×C4⋊Dic73C2311yescharacteristic
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C42×D73—21no—
382C42×D73—21no—
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#126×C73—21no—
448#126×C73—21no—
449#125×C73—21no—
450#125×C73—21no—
451#125×C73C2311yescharacteristic
452#124×C73—21no—
453#124×C73C2311yescharacteristic
454#123×C73—21no—
455C22⋊Q8×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—22no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924028—22no—
490#11924028—41no—
491#11924028—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—82no—
498C2×D292—22no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292C2×D411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73C2×D411yescharacteristic
516C2×C22⋊D73C2×D411yescharacteristic
517D4×D73—22no—
518D4×D73—41no—
519D4×D73—82no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541#11924018—41no—
542#11924017—22no—
543#11924017—22no—
544#11924016—41no—
545#11924015—22no—
546#11924015—22no—
547#11924015—22no—
548#11924015—41no—
549#11924015—41no—
550D584—22no—
551D584#4114yescomplemented
552#11924013—22no—
553#11924011—22no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—22no—
559C8×D73—41no—
560C8×D73—41no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C2×Q8×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73C2411yescharacteristic
646C22×C4×C73—21no—
647C22×C4×C73C2411yescharacteristic
648Q16×C73—22no—
649Q16×C73—41no—
650SD16×C73—22no—
651SD16×C73—41no—
652M16×C73—22no—
653C2×C8×C73—41no—
654C2×C8×C73C2411yescharacteristic
655C2×C8×C73C2411yescharacteristic
656C2×C8×C73C2411yescharacteristic
657C2×C8×C73C2411yescharacteristic
658C4⋊C4×C73—21no—
659C4⋊C4×C73—21no—
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73C2×D411yescharacteristic
683C22⋊C4×C73C2×D411yescharacteristic
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C22×D73—21no—
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—42no—
695C22×D73—42no—
696C22×D73—81no—
697C22×D73—81no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73C22×D411yescharacteristic
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—81no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—81no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—81no—
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C2511yescharacteristic
728C22⋊D73—22no—
729C22⋊D73—41no—
730C22⋊D73—42no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C22⋊D73—81no—
734C22⋊D73—81no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—81no—
741C2×Dic73—81no—
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748D292—21no—
749D292—21no—
750D292—21no—
751D292—21no—
752D292—41no—
753D292—42no—
754D292—42no—
755D292—42no—
756D292—42no—
757D292—81no—
758D292—81no—
759D292C2×#4112yes—
760D292C2×#4112yes—
761C4×D73—21no—
762C4×D73—21no—
763C4×D73—21no—
764C4×D73—21no—
765C4×D73—22no—
766C4×D73—41no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—81no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782Dic146—22no—
783Dic146—21no—
784Dic146—21no—
785Dic146—42no—
786Dic146—81no—
787Dic146—81no—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73C2×#4112yes—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73C23×D411yescharacteristic
803C2×D73—21no—
804C2×D73—21no—
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—22no—
808C2×D73—22no—
809C2×D73—21no—
810C2×D73—21no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—162no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73C22×#4111yescharacteristic
833C4×C73#58511yescharacteristic
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73#57712yes—
845#61493—731nomaximal, Sylow
846C2×C73—41no—
847C2×C73—81no—
848C2×C73D4×#4111yescharacteristic
849C2×C73C2×#57711yescharacteristic
850C2×C73#358411yescharacteristic
851D73—41no—
852D73—41no—
853D73—42no—
854D73—42no—
855D73—81no—
856#3515—731no—
857#3514—731no—
858#3400—731no—
859#3384—731no—
860#3361—731no—
861#3359—731no—
862#3356—731no—
863#3348—731no—
864#3348—731no—
865#3303—731no—
866#3303—731no—
867#3302—731no—
868#3296—731no—
869#3296—731no—
870#3295—731no—
871#3272—731no—
872#3267—731no—
873#3267—731no—
874#3178—731no—
875#3178D7311yescharacteristic, complemented
876#3167—731no—
877#3125—731no—
878#3125—731no—
879#3123—731no—
880#3123—731no—
881#3116—731no—
882#3115—731no—
883#2966—731no—
884#2946—731no—
885#2946—731no—
886C4×#135—731no—
887C73#6149311yescharacteristic, complemented, Sylow
888C2×AGL(1,ℤ/8)—731no—
889C2×AGL(1,ℤ/8)—731no—
890C2×#135—731no—
891#559—731no—
892#557—731no—
893#556—731no—
894#555—731no—
895#555—731no—
896#554—731no—
897#554—731no—
898#553—1461no—
899#552—731no—
900#552—731no—
901#552—1461no—
902#552—1461no—
903#552—1461no—
904#551—1461no—
905#551—1461no—
906D4×Q8—731no—
907#548—1461no—
908#547—731no—
909#547—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542C2×D7311yescharacteristic
917#541—731no—
918#541C2×D7311yescharacteristic, complemented
919#539—1461no—
920#539—1461no—
921#538—1461no—
922#538—1461no—
923#533—731no—
924#532—731no—
925#529—731no—
926#529—1461no—
927#529—1461no—
928C2×#125—1461no—
929C2×#124—1461no—
930#520—731no—
931#520—731no—
932#518—731no—
933#518—731no—
934C4×#41—731no—
935C4×#41—731no—
936#501—731no—
937#501C2×D7311yescharacteristic, complemented
938#498—731no—
939#497—731no—
940#497C2×D7311yescharacteristic, complemented
941#492—731no—
942#488—731no—
943#488C2×D7311yescharacteristic, complemented
944#487—731no—
945#487—731no—
946#487C2×D7311yescharacteristic, complemented
947#486—731no—
948#485—731no—
949#485—731no—
950#485—731no—
951#485—731no—
952#485—731no—
953#485—731no—
954#483—731no—
955#483—731no—
956#482—731no—
957#482—731no—
958#481—731no—
959#481—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#477—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#475—731no—
969#475—731no—
970#475—731no—
971#474—731no—
972#470—731no—
973#470C2×D7311yescharacteristic, complemented
974#468—731no—
975#468C2×D7311yescharacteristic
976#467—731no—
977#467C2×D7311yescharacteristic, complemented
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#465C2×D7311yescharacteristic
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#462—731no—
989#461—731no—
990#461—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#460—731no—
995#459—731no—
996#452—731no—
997#452—731no—
998#452—731no—
999#452—731no—
1000#450—731no—
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#449—731no—
1005#449—731no—
1006#449—731no—
1007#449—731no—
1008#446—731no—
1009C8×Q8—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#442—731no—
1014#441—731no—
1015#441C2×D7311yescharacteristic, complemented
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440C2×D7311yescharacteristic, complemented
1022C4×Q16—731no—
1023C4×Q16C2×D7311yescharacteristic, complemented
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16C2×D7311yescharacteristic, complemented
1034C4×D8—731no—
1035C4×D8—731no—
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041C8×D4—731no—
1042C8×D4—731no—
1043C8×D4—731no—
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049#427—731no—
1050#416—731no—
1051#416—731no—
1052#416—731no—
1053#416—731no—
1054C2×#102—731no—
1055C2×#102—731no—
1056#405—731no—
1057#405C2×D7311yescharacteristic, complemented
1058C2×C4×C8—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—731no—
1062C2×#41—731no—
1063C2×#41—1461no—
1064C22×Q8—1461no—
1065C22×D4—731no—
1066C22×D4—731no—
1067C22×D4—1461no—
1068AGL(1,ℤ/8)—1464no—
1069AGL(1,ℤ/8)—1464no—
1070#135—1464no—
1071C2×Q16—731no—
1072C2×Q16C22×D7311yescharacteristic
1073C2×Q16C22×D7311yescharacteristic
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16C22×D7311yescharacteristic
1089C22×C8—731no—
1090C22×C8—731no—
1091C22×C8—731no—
1092C22×C8C22×D7311yescharacteristic
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—731no—
1097C4⋊Q8—731no—
1098C4⋊Q8C22×D7311yescharacteristic
1099C4⋊Q8C22×D7311yescharacteristic
1100#127—731no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—731no—
1105#126—731no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#125—21no—
1114#125—21no—
1115#125—731no—
1116#125—731no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125C22×D7311yescharacteristic
1127#124—21no—
1128#124—731no—
1129#124—731no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#124—1461no—
1138#124C22×D7311yescharacteristic
1139#123—21no—
1140#123—731no—
1141#123—731no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155C22⋊Q8—21no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8C22×D7311yescharacteristic
1173C22⋊Q8C22×D7311yescharacteristic
1174C22⋊Q8C22×D7311yescharacteristic
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4C22×D7311yescharacteristic
1235#117—731no—
1236#117—731no—
1237#117—731no—
1238#117—731no—
1239#117—731no—
1240#117—1461no—
1241#117—1461no—
1242#117—1461no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117C22×D7311yescharacteristic
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—1461no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C22⋊C4—1461no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C42—731no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107C22×D7311yescharacteristic
1272#107C22×D7311yescharacteristic
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103C22×D7311yescharacteristic
1300#103C22×D7311yescharacteristic
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327#97—731no—
1328#97—731no—
1329#97C22×D7311yescharacteristic
1330#97C22×D7311yescharacteristic
1331C4×C8—731no—
1332C4×C8—731no—
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8C22×D7311yescharacteristic
1336C4×C8C22×D7311yescharacteristic
1337C24—1461no—
1338C24—1461no—
1339#41—2921no—
1340#41—2921no—
1341#41—2921no—
1342#41—2921no—
1343#41—5842no—
1344#41—1462no—
1345#41—1462no—
1346#41—1462no—
1347#41—1462no—
1348C2×Q8—21no—
1349C2×Q8—5842no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—1461no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8C23×D7311yescharacteristic
1356C2×Q8C23×D7311yescharacteristic
1357C2×Q8C23×D7311yescharacteristic
1358C2×D4—21no—
1359C2×D4—2921no—
1360C2×D4—2921no—
1361C2×D4—5842no—
1362C2×D4—731no—
1363C2×D4—731no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—1461no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1462no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1462no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4C23×D7311yescharacteristic
1382C22×C4—21no—
1383C22×C4—731no—
1384C22×C4—731no—
1385C22×C4—731no—
1386C22×C4—731no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4C23×D7311yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—2921no—
1408SD16—22no—
1409SD16—41no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—2921no—
1413SD16—1462no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—734no—
1419D8—1462no—
1420D8—1462no—
1421M16—22no—
1422M16—1462no—
1423C2×C8—41no—
1424C2×C8—2921no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
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—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4D4×D7311yescharacteristic
1480C4⋊C4D4×D7311yescharacteristic
1481C4⋊C4C23×D7311yescharacteristic
1482C4⋊C4C23×D7311yescharacteristic
1483C4⋊C4C23×D7311yescharacteristic
1484C4⋊C4C23×D7311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—731no—
1499C22⋊C4—731no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4D4×D7311yescharacteristic
1526C22⋊C4D4×D7311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—2922no—
1547C23—2922no—
1548C23—5841no—
1549C23—5841no—
1550C23—5841no—
1551C23—5841no—
1552C23—731no—
1553C23—731no—
1554C23—1461no—
1555C23—1461no—
1556C23—1461no—
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—81no—
1565Q8—2922no—
1566Q8—5841no—
1567Q8—5841no—
1568Q8—1462no—
1569Q8—1461no—
1570Q8—1461no—
1571D4—21no—
1572D4—21no—
1573D4—81no—
1574D4—2922no—
1575D4—2921no—
1576D4—2922no—
1577D4—2922no—
1578D4—2922no—
1579D4—2922no—
1580D4—2922no—
1581D4—2921no—
1582D4—2922no—
1583D4—5841no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—732no—
1588D4—732no—
1589D4—1462no—
1590D4—1461no—
1591D4—1461no—
1592D4—1461no—
1593D4—1461no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—81no—
1604C2×C4—2922no—
1605C2×C4—2921no—
1606C2×C4—2922no—
1607C2×C4—2922no—
1608C2×C4—2922no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—5841no—
1612C2×C4—5841no—
1613C2×C4—5841no—
1614C2×C4—5841no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—731no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—1462no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4C2×D4×D7311yescharacteristic
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1461no—
1648C8—1461no—
1649C8—1461no—
1650C8—1461no—
1651C8#41×D7312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—2921no—
1659C22—2921no—
1660C22—2921no—
1661C22—2921no—
1662C22—2921no—
1663C22—2921no—
1664C22—2921no—
1665C22—11682no—
1666C22—11682no—
1667C22—1461no—
1668C22—1461no—
1669C22—1462no—
1670C22—1462no—
1671C22—1461no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—732no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942311yescharacteristic
1701C2—41no—
1702C2—81no—
1703C2—2922no—
1704C2—2922no—
1705C2—2921no—
1706C2—2921no—
1707C2—5841no—
1708C2#2262341711yescharacteristic
1709C2#577×D7311yescharacteristic
1710C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3178C2
socleC22×C73C23×D4
hypercenter#3178D73
hypocenterC73#61493
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. #22623907C2semidirect
2. #22623890C2semidirect
3. #22622981C2semidirect
4. #22622827C2semidirect
5. #22622588C2semidirect
6. #22622570C2semidirect
7. #22622541C2semidirect
8. #22622445C2semidirect
9. #22622441C2semidirect
10. #22621858C2semidirect
11. #22621854C2semidirect
12. #22621843C2semidirect
13. #22621772C2semidirect
14. #22621765C2semidirect
15. #22621750C2semidirect
16. #22621528C2semidirect
17. #22621463C2semidirect
18. #22621455C2semidirect
19. #22620603C2semidirect
20. #22620487C2semidirect
21. #22620206C2semidirect
22. #22620202C2semidirect
23. #22620182C2semidirect
24. #22620178C2semidirect
25. #22620091C2semidirect
26. #22620080C2semidirect
27. #22618902C2semidirect
28. #22618765C2semidirect
29. #22618758C2semidirect
30. C4×#14556614C2semidirect
31. C73×#3178C2semidirect
36. #17989312C22semidirect
41. #17989293C22semidirect
43. #17989279C22semidirect
45. #17989275C22semidirect
52. #17989240C22semidirect
54. #17989239C22semidirect
60. #17989195C22semidirect
65. #17989141C22semidirect
72. #17989069C22semidirect
73. #17989067C22semidirect
77. C4×#11924029C22semidirect
78. #17988995C22semidirect
79. #17988984C22semidirect
80. #17988980C22semidirect
82. #17988943C22semidirect
83. #17988936C22semidirect
84. #17988936C22semidirect
86. #17988931C22semidirect
87. #17988930C22semidirect
88. #17988927C22semidirect
89. #17988927C22semidirect
90. #17988925C22semidirect
91. #17988925C22semidirect
92. #17988916C22semidirect
93. #17988915C22semidirect
94. #17988914C22semidirect
95. #17988910C22semidirect
99. #17988885C22semidirect
101. #17988884C22semidirect
102. #17988880C22semidirect
104. #17988876C22semidirect
105. #17988874C22semidirect
106. #17988870C22semidirect
107. #17988870C22semidirect
108. #17988869C22semidirect
109. #17988866C22semidirect
110. #17988842C22semidirect
112. #17988827C22semidirect
114. #17988819C22semidirect
115. #17988817C22semidirect
116. #17988815C22semidirect
117. #17988813C22semidirect
118. #17988811C22semidirect
119. #17988806C22semidirect
120. #17988805C22semidirect
121. #17988799C22semidirect
122. #17988795C22semidirect
125. #17988790C22semidirect
127. #17988789C22semidirect
132. #17988748C22semidirect
133. #17988747C22semidirect
139. #17988735C22semidirect
140. #17988731C22semidirect
142. #17988715C22semidirect
143. C8×Dic146C22semidirect
145. #17988700C22semidirect
147. #17988697C22semidirect
148. #17988692C22semidirect
150. #17988689C22semidirect
151. #17988688C22semidirect
153. #17988685C22semidirect
154. Q16×Dic73C22semidirect
156. C4×#11924017C22semidirect
158. C4×#11924015C22semidirect
159. C4×#11924015C22semidirect
160. C4×#11924016C22semidirect
163. #17988672C22semidirect
165. C4×D584C22semidirect
167. #17988667C22semidirect
169. #17988660C22semidirect
170. #17988656C22semidirect
171. C8×D292C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988649C22semidirect
175. #17988648C22semidirect
176. #17988642C22semidirect
177. #17988629C22semidirect
178. #17988626C22semidirect
179. #17988624C22semidirect
180. #17988584C22semidirect
182. #17988582C22semidirect
183. #17988582C22semidirect
186. #17988541C22semidirect
187. C4×C8×D73C22semidirect
189. #541×C73C22semidirect
190. #501×C73C22semidirect
191. #497×C73C22semidirect
192. #488×C73C22semidirect
193. #487×C73C22semidirect
194. #470×C73C22semidirect
196. #467×C73C22semidirect
198. #441×C73C22semidirect
199. #440×C73C22semidirect
200. C4×Q16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #405×C73C22semidirect
551. D584#41semidirect
875. #3178D73semidirect
887. C73#61493semidirect
918. #541C2×D73semidirect
937. #501C2×D73semidirect
940. #497C2×D73semidirect
943. #488C2×D73semidirect
946. #487C2×D73semidirect
973. #470C2×D73semidirect
977. #467C2×D73semidirect
1015. #441C2×D73semidirect
1021. #440C2×D73semidirect
1023. C4×Q16C2×D73semidirect
1033. C4×SD16C2×D73semidirect
1057. #405C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239072
#226238902
#226229812
#226228272
#226225882
#226225702
#226225412
#226224452
#226224412
#226218582
#226218542
#226218432
#226217722
#226217652
#226217502
#226215282
#226214632
#226214552
#226206032
#226204872
#226202062
#226202022
#226201822
#226201782
#226200912
#226200802
#226189022
#226187652
#226187582
C4×#145566142
C73×#31782
#6149373