Finite Group Databasebeta

← #33978847

Subgroups — #33978847

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623543C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622979C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622718C211yesmaximal, characteristic, complemented
7#22621969C211yesmaximal, characteristic, complemented
8#22621967C211yesmaximal, characteristic, complemented
9#22621962C211yesmaximal, characteristic, complemented
10#22621960C211yesmaximal, characteristic, complemented
11#22621865C211yesmaximal, characteristic, complemented
12#22621863C211yesmaximal, characteristic, complemented
13#22621659C211yesmaximal, characteristic, complemented
14#22621655C211yesmaximal, characteristic, complemented
15#22621459C211yesmaximal, characteristic, complemented
16#22621457C211yesmaximal, characteristic, complemented
17#22621450C211yesmaximal, characteristic, complemented
18#22621321C211yesmaximal, characteristic, complemented
19#22621244C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22620939C211yesmaximal, characteristic, complemented
22#22620937C211yesmaximal, characteristic, complemented
23#22620870C211yesmaximal, characteristic, complemented
24#22620078C211yesmaximal, characteristic, complemented
25#22620075C211yesmaximal, characteristic, complemented
26#22619995C211yesmaximal, characteristic, complemented
27#22619409C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29#22619382C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556612C2211yescharacteristic, complemented
34C2×#14556611C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36#17989321—21no—
37#17989320C2211yescharacteristic
38#17989319C2211yescharacteristic
39#17989312C2211yescharacteristic, complemented
40#17989308C2211yescharacteristic
41#17989308C2211yescharacteristic, complemented
42#17989307C2211yescharacteristic
43#17989274—21no—
44#17989274—21no—
45#17989272—21no—
46#17989256C2211yescharacteristic
47#17989255—21no—
48#17989255C2211yescharacteristic
49D4×Dic146C2211yescharacteristic, complemented
50#17989243—21no—
51#17989236C2211yescharacteristic
52#17989236C2211yescharacteristic, complemented
53#17989233C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989228C2211yescharacteristic
56#17989227—21no—
57#17989224—21no—
58#17989189—21no—
59#17989187—21no—
60#17989152—21no—
61#17989142C2211yescharacteristic, complemented
62#17989139C2211yescharacteristic
63#17989139C2211yescharacteristic
64#17989139C2211yescharacteristic, complemented
65#17989136C2211yescharacteristic
66#17989134C2211yescharacteristic
67#17989133C2211yescharacteristic
68#17989132C2211yescharacteristic
69C2×#14556587C2211yescharacteristic
70#17989118—21no—
71#17989114—21no—
72#17989114—21no—
73#17989060—21no—
74#41×Dic73C2211yescharacteristic
75#41×Dic73C2211yescharacteristic, complemented
76C4×#11924027C2211yescharacteristic
77C4×#11924027C2211yescharacteristic, complemented
78C2×#14556556—21no—
79#17988980C2211yescharacteristic, complemented
80#17988979C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic
83#17988958C2211yescharacteristic
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988932C2211yescharacteristic
90#17988929C2211yescharacteristic
91#17988925C2211yescharacteristic
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988878C2211yescharacteristic, complemented
97#17988877C2211yescharacteristic, complemented
98#17988876C2211yescharacteristic, complemented
99#17988875C2211yescharacteristic, complemented
100#17988871C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988870C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988845C2211yescharacteristic
107#17988843C2211yescharacteristic
108#17988843C2211yescharacteristic
109#17988819C2211yescharacteristic, complemented
110#17988819C2211yescharacteristic, complemented
111#17988818C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic, complemented
113#17988814C2211yescharacteristic, complemented
114#17988813C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988796C2211yescharacteristic, complemented
125#17988795C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic, complemented
131#17988789C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic
133#17988786C2211yescharacteristic
134#17988785C2211yescharacteristic
135#17988785C2211yescharacteristic
136#17988785C2211yescharacteristic
137#17988785C2211yescharacteristic
138#17988785C2211yescharacteristic
139#17988785C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic
146#17988749C2211yescharacteristic, complemented
147#17988748C2211yescharacteristic, complemented
148#17988748C2211yescharacteristic, complemented
149#17988747C2211yescharacteristic, complemented
150#17988746C2211yescharacteristic, complemented
151#17988746C2211yescharacteristic, complemented
152#17988740C2211yescharacteristic
153#17988738C2211yescharacteristic
154#17988737C2211yescharacteristic
155#17988733C2211yescharacteristic, complemented
156#17988732C2211yescharacteristic, complemented
157#17988729C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168#17988679C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170SD16×Dic73C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic
172#17988659C2211yescharacteristic
173#17988656C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic
179#17988610C2211yescharacteristic
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988592C2211yescharacteristic
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic, complemented
190#547×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic
200#449×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×#11924027C2311yescharacteristic
210C22×Dic146—21no—
211C22×D292C2311yescharacteristic
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214#14556616—42no—
215#14556612—42no—
216#14556611—42no—
217#14556610—42no—
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556589C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587—21no—
245#14556587—21no—
246#14556587—21no—
247#14556587—21no—
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556586—21no—
253#14556586—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556582—21no—
259#14556582—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556580C2311yescharacteristic
266#14556579C2311yescharacteristic
267#14556578—21no—
268#14556578C2311yescharacteristic
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556576—21no—
276#14556576—21no—
277#14556575—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556571—21no—
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556566—21no—
299#14556566C2311yescharacteristic
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556562—21no—
315#14556562C2311yescharacteristic
316#14556561—21no—
317#14556560—21no—
318#14556559—21no—
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556—21no—
329#14556556—21no—
330#14556556—21no—
331#14556556—21no—
332#14556556—21no—
333#14556556—21no—
334#14556556D411yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73—21no—
342D4×Dic73D411yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73C2311yescharacteristic
355C4×C22⋊D73C2311yescharacteristic
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551D411yescharacteristic
363#14556551D411yescharacteristic
364#14556550—21no—
365#14556550—21no—
366#14556550C2311yescharacteristic
367#14556550C2311yescharacteristic
368#14556549—21no—
369#14556549D411yescharacteristic
370#14556549C2311yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375#14556547D411yescharacteristic
376#14556547D411yescharacteristic
377C2×#11924007—21no—
378C2×#11924007—21no—
379C2×C22⋊Dic73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443AGL(1,ℤ/8)×C73—42no—
444#135×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460#123×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464#121×C73—21no—
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C4⋊C4×C73—21no—
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—82no—
490#11924027—22no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—42no—
495#11924027—82no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—44no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—41no—
508C2×D292—41no—
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—44no—
525C2×C22⋊D73—82no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C22×Dic73C2×D411yescharacteristic
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545Dic292—41no—
546#11924018—41no—
547#11924018—41no—
548#11924018—41no—
549#11924017—41no—
550#11924017—41no—
551#11924016—22no—
552#11924016—41no—
553#11924016—41no—
554#11924015—41no—
555#11924015—41no—
556#11924015—41no—
557#11924015—41no—
558#11924013—22no—
559#11924013—22no—
560#11924012—41no—
561C2×#10596831—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—41no—
567C8×D73—41no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
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×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C24×C73—21no—
648#41×C73—22no—
649#41×C73—22no—
650#41×C73—41no—
651#41×C73—41no—
652#41×C73—41no—
653#41×C73—41no—
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73C2×D411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675Q16×C73—41no—
676Q16×C73—41no—
677SD16×C73—22no—
678SD16×C73—41no—
679SD16×C73—41no—
680SD16×C73—41no—
681SD16×C73—41no—
682D8×C73—22no—
683D8×C73—22no—
684M16×C73—41no—
685C2×C8×C73—41no—
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73C2×D411yescharacteristic
707C22⋊C4×C73C2×D411yescharacteristic
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73—42no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73C22×D411yescharacteristic
716C23×C73C22×D411yescharacteristic
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—41no—
735D4×C73—42no—
736D4×C73—42no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73H(5,𝔽2)12yes—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
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—42no—
751C2×C4×C73—42no—
752C2×C4×C73—42no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C2511yescharacteristic
760C22⋊D73—22no—
761C22⋊D73—41no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C2×Dic73—22no—
776C2×Dic73—22no—
777C2×Dic73—22no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—41no—
785C2×Dic73—42no—
786C2×Dic73—42no—
787C2×Dic73—42no—
788C2×Dic73—42no—
789C2×Dic73—81no—
790C2×Dic73—81no—
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—81no—
803D292—81no—
804D292—81no—
805C4×D73—21no—
806C4×D73—21no—
807C4×D73—22no—
808C4×D73—41no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813Dic146—22no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—42no—
819Dic146—42no—
820Dic146—42no—
821Dic146—42no—
822C8×C73—21no—
823C8×C73—21no—
824C8×C73—21no—
825C8×C73—21no—
826#10596831—21no—
827#10596831—21no—
828#10596831—21no—
829#10596831—21no—
830C22×C73—22no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—21no—
836C22×C73—21no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—162no—
846C22×C73C23×D411yescharacteristic
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—162no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C2×H(5,𝔽2)11yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—41no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73#57512yes—
880Dic73#57712yes—
881#61986—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—42no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73C2×#57511yescharacteristic
889C2×C73C2×#57711yescharacteristic
890D73—41no—
891D73—81no—
892D73—81no—
893#3508—731no—
894#3482—731no—
895#3400—731no—
896#3400—731no—
897#3373—731no—
898#3373—731no—
899#3311—731no—
900#3311—731no—
901#3311—731no—
902#3311—731no—
903#3304—731no—
904#3304—731no—
905#3284—731no—
906#3284—731no—
907#3267—731no—
908#3267—731no—
909#3267—731no—
910#3267D7311yescharacteristic, complemented
911#3255—731no—
912#3246—731no—
913#3246—731no—
914#3216—731no—
915#3216—731no—
916#3208—731no—
917#3115—731no—
918#3115—731no—
919#3107—731no—
920#3038—731no—
921#3035—731no—
922#3035—731no—
923#2990—731no—
924C73#6198611yescharacteristic, complemented, Sylow
925C2×AGL(1,ℤ/8)—731no—
926C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
927C2×#135—731no—
928C2×#135—731no—
929C2×#135—731no—
930C2×#135C2×D7311yescharacteristic, complemented
931#559—731no—
932#559—731no—
933#559—1461no—
934#557—731no—
935#556—731no—
936#556—731no—
937#556—731no—
938#552—1461no—
939#552—1461no—
940#552—1461no—
941#550—731no—
942#550—731no—
943#550—1461no—
944D4×Q8—731no—
945#548—1461no—
946#547—731no—
947#547—731no—
948#547C2×D7311yescharacteristic
949#546—731no—
950#546—731no—
951#546—731no—
952#546—1461no—
953#546—1461no—
954#546C2×D7311yescharacteristic
955#540—1461no—
956#540—1461no—
957#535—1461no—
958#533—731no—
959#533—731no—
960#533—731no—
961#533—731no—
962#532—731no—
963#532—731no—
964#532—731no—
965#532—731no—
966C2×#127—731no—
967#529—1461no—
968#529—1461no—
969#529—1461no—
970#518—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—731no—
974C4×#41—731no—
975C2×C4×Q8—1461no—
976#497—731no—
977#497—731no—
978#497—731no—
979#497C2×D7311yescharacteristic, complemented
980#492—731no—
981#492—731no—
982#489—731no—
983#489—731no—
984#489—731no—
985#489—731no—
986#486—731no—
987#486—731no—
988#485—731no—
989#485—731no—
990#482—731no—
991#482—731no—
992#482—731no—
993#482—731no—
994#476—731no—
995#476—731no—
996#476—731no—
997#476—731no—
998#475—731no—
999#475—731no—
1000#475—731no—
1001#475—731no—
1002#475—731no—
1003#474—731no—
1004#470—731no—
1005#470—731no—
1006#470—731no—
1007#470C2×D7311yescharacteristic
1008#465—731no—
1009#465—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic, complemented
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463C2×D7311yescharacteristic, complemented
1024#462—731no—
1025#462—731no—
1026#462—731no—
1027#462—731no—
1028#462—731no—
1029#461—731no—
1030#461—731no—
1031#461—731no—
1032#461—731no—
1033#461C2×D7311yescharacteristic, complemented
1034#460—731no—
1035#460—731no—
1036#460—731no—
1037#460—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#452—731no—
1054#452C2×D7311yescharacteristic
1055#452C2×D7311yescharacteristic, complemented
1056#450—731no—
1057#450—731no—
1058#450—731no—
1059#450C2×D7311yescharacteristic
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449C2×D7311yescharacteristic, complemented
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442—731no—
1068#442—731no—
1069#442C2×D7311yescharacteristic, complemented
1070#440—731no—
1071#440—731no—
1072#440—731no—
1073#440—731no—
1074C4×Q16—731no—
1075C4×Q16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078#435—731no—
1079#435—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic
1082C8×D4—731no—
1083C8×D4—731no—
1084#432—731no—
1085#432—731no—
1086#431—731no—
1087#423—731no—
1088C2×C4⋊C8—731no—
1089C2×C4⋊C8—731no—
1090#418—731no—
1091#418—731no—
1092#416—731no—
1093#416—731no—
1094#416—731no—
1095#416—731no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C2×#41C22×D7311yescharacteristic
1105C2×#41C22×D7311yescharacteristic
1106C22×Q8—1461no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4—1461no—
1110C22×D4C22×D7311yescharacteristic
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—2922no—
1113#135—42no—
1114#135—2922no—
1115#135—2922no—
1116#135—2922no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×Q16—731no—
1120C2×Q16—731no—
1121C2×Q16C22×D7311yescharacteristic
1122C2×Q16C22×D7311yescharacteristic
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×SD16C22×D7311yescharacteristic
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8C22×D7311yescharacteristic
1140C2×D8C22×D7311yescharacteristic
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8C22×D7311yescharacteristic
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—731no—
1152C4⋊Q8—731no—
1153C4⋊Q8—731no—
1154C4⋊Q8C22×D7311yescharacteristic
1155#127—731no—
1156#127—731no—
1157#127—731no—
1158#127—731no—
1159#127—1461no—
1160#127—1461no—
1161#127—1461no—
1162#127—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125—1461no—
1175#125—1461no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124C22×D7311yescharacteristic
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201C22⋊Q8—731no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8C22×D7311yescharacteristic
1214C22⋊Q8C22×D7311yescharacteristic
1215C22⋊Q8C22×D7311yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—731no—
1219#121—731no—
1220#121—731no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121C22×D7311yescharacteristic
1237#120—21no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—731no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—731no—
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—1461no—
1252C4×Q8—1461no—
1253C4×Q8—1461no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8—1461no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4C22×D7311yescharacteristic
1287C4×D4C22×D7311yescharacteristic
1288C4×D4C22×D7311yescharacteristic
1289#117—731no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—731no—
1294#117—731no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302C2×C4⋊C4—21no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C42—731no—
1310C2×C42—731no—
1311C2×C42—731no—
1312C2×C42—1461no—
1313C2×C42—1461no—
1314C2×C42—1461no—
1315#107—731no—
1316#107—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106C22×D7311yescharacteristic
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8C22×D7311yescharacteristic
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365C22⋊C8—731no—
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8C22×D7311yescharacteristic
1370C22⋊C8C22×D7311yescharacteristic
1371#97—731no—
1372#97—731no—
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C24—21no—
1378C24—1461no—
1379#41—22no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2922no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—2921no—
1393#41—5842no—
1394#41—5842no—
1395#41—1462no—
1396C2×Q8—2924no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8—1461no—
1404C2×Q8C23×D7311yescharacteristic
1405C2×Q8C23×D7311yescharacteristic
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—2921no—
1415C2×D4—2921no—
1416C2×D4—2924no—
1417C2×D4—5842no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—731no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4D4×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—731no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466Q16—41no—
1467Q16—41no—
1468Q16—2921no—
1469Q16—2921no—
1470Q16—2921no—
1471Q16—2921no—
1472SD16—22no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—2921no—
1483SD16—2921no—
1484SD16—2921no—
1485SD16—1462no—
1486D8—22no—
1487D8—22no—
1488D8—1462no—
1489D8—1462no—
1490M16—41no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—2921no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8—731no—
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C2×C8C23×D7311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4D4×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C4⋊C4C23×D7311yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4D4×D7311yescharacteristic
1580C22⋊C4D4×D7311yescharacteristic
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—1461no—
1591C42—1461no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—2922no—
1609C23—5841no—
1610C23—5841no—
1611C23—731no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—2922no—
1623Q8—2922no—
1624Q8—2922no—
1625Q8—2922no—
1626Q8—1462no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—2922no—
1643D4—2922no—
1644D4—2922no—
1645D4—2922no—
1646D4—2922no—
1647D4—2921no—
1648D4—2922no—
1649D4—2922no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—1462no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4#1455663612yes—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2921no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2921no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—1462no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1462no—
1706C2×C4—1462no—
1707C2×C4—1462no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—11682no—
1746C22—1461no—
1747C22—1461no—
1748C22—1461no—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—2921no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—732no—
1766C4—732no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4C2×#1455663611yescharacteristic
1773C4#1798942211yescharacteristic
1774C2—41no—
1775C2—41no—
1776C2—42no—
1777C2—81no—
1778C2—81no—
1779C2—2921no—
1780C2—5841no—
1781C2—5841no—
1782C2#2262359111yescharacteristic
1783C2#575×D7311yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#61986
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623543C2semidirect
3. #22622981C2semidirect
4. #22622979C2semidirect
5. #22622724C2semidirect
6. #22622718C2semidirect
7. #22621969C2semidirect
8. #22621967C2semidirect
9. #22621962C2semidirect
10. #22621960C2semidirect
11. #22621865C2semidirect
12. #22621863C2semidirect
13. #22621659C2semidirect
14. #22621655C2semidirect
15. #22621459C2semidirect
16. #22621457C2semidirect
17. #22621450C2semidirect
18. #22621321C2semidirect
19. #22621244C2semidirect
20. #22621242C2semidirect
21. #22620939C2semidirect
22. #22620937C2semidirect
23. #22620870C2semidirect
24. #22620078C2semidirect
25. #22620075C2semidirect
26. #22619995C2semidirect
27. #22619409C2semidirect
28. #22619383C2semidirect
29. #22619382C2semidirect
30. #22619051C2semidirect
31. C73×#3267C2semidirect
33. C2×#14556612C22semidirect
34. C2×#14556611C22semidirect
35. C2×#14556610C22semidirect
39. #17989312C22semidirect
41. #17989308C22semidirect
49. D4×Dic146C22semidirect
52. #17989236C22semidirect
61. #17989142C22semidirect
64. #17989139C22semidirect
75. #41×Dic73C22semidirect
77. C4×#11924027C22semidirect
79. #17988980C22semidirect
80. #17988979C22semidirect
81. #17988978C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988946C22semidirect
87. #17988945C22semidirect
92. #17988913C22semidirect
93. #17988912C22semidirect
94. #17988909C22semidirect
95. #17988908C22semidirect
96. #17988878C22semidirect
97. #17988877C22semidirect
98. #17988876C22semidirect
99. #17988875C22semidirect
100. #17988871C22semidirect
101. #17988871C22semidirect
102. #17988870C22semidirect
103. #17988870C22semidirect
104. #17988870C22semidirect
105. #17988865C22semidirect
109. #17988819C22semidirect
110. #17988819C22semidirect
111. #17988818C22semidirect
112. #17988816C22semidirect
113. #17988814C22semidirect
114. #17988813C22semidirect
115. #17988813C22semidirect
116. #17988811C22semidirect
117. #17988810C22semidirect
118. #17988807C22semidirect
119. #17988806C22semidirect
120. #17988804C22semidirect
121. #17988802C22semidirect
122. #17988800C22semidirect
123. #17988796C22semidirect
124. #17988796C22semidirect
125. #17988795C22semidirect
126. #17988795C22semidirect
127. #17988795C22semidirect
128. #17988791C22semidirect
129. #17988790C22semidirect
130. #17988790C22semidirect
131. #17988789C22semidirect
144. #17988751C22semidirect
146. #17988749C22semidirect
147. #17988748C22semidirect
148. #17988748C22semidirect
149. #17988747C22semidirect
150. #17988746C22semidirect
151. #17988746C22semidirect
155. #17988733C22semidirect
156. #17988732C22semidirect
157. #17988729C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988699C22semidirect
161. #17988697C22semidirect
162. #17988696C22semidirect
163. #17988690C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
166. #17988687C22semidirect
167. Q16×Dic73C22semidirect
168. #17988679C22semidirect
169. #17988678C22semidirect
170. SD16×Dic73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
189. C2×#135×C73C22semidirect
192. #497×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #461×C73C22semidirect
198. #452×C73C22semidirect
200. #449×C73C22semidirect
201. #442×C73C22semidirect
910. #3267D73semidirect
924. C73#61986semidirect
930. C2×#135C2×D73semidirect
979. #497C2×D73semidirect
1015. #465C2×D73semidirect
1023. #463C2×D73semidirect
1033. #461C2×D73semidirect
1055. #452C2×D73semidirect
1063. #449C2×D73semidirect
1069. #442C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235432
#226229812
#226229792
#226227242
#226227182
#226219692
#226219672
#226219622
#226219602
#226218652
#226218632
#226216592
#226216552
#226214592
#226214572
#226214502
#226213212
#226212442
#226212422
#226209392
#226209372
#226208702
#226200782
#226200752
#226199952
#226194092
#226193832
#226193822
#226190512
C73×#32672
#6198673