Finite Group Databasebeta

← #33978577

Subgroups — #33978577

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623895C211yesmaximal, characteristic, complemented
2#22623550C211yesmaximal, characteristic, complemented
3#22622997C211yesmaximal, characteristic, complemented
4#22622767C211yesmaximal, characteristic, complemented
5#22622701C211yesmaximal, characteristic, complemented
6#22622204C211yesmaximal, characteristic, complemented
7#22622154C211yesmaximal, characteristic, complemented
8#22621989C211yesmaximal, characteristic, complemented
9#22621957C211yesmaximal, characteristic, complemented
10#22621927C211yesmaximal, characteristic, complemented
11#22621899C211yesmaximal, characteristic, complemented
12#22621583C211yesmaximal, characteristic, complemented
13#22621561C211yesmaximal, characteristic, complemented
14#22621507C211yesmaximal, characteristic, complemented
15#22621500C211yesmaximal, characteristic, complemented
16#22621440C211yesmaximal, characteristic, complemented
17#22621432C211yesmaximal, characteristic, complemented
18#22621329C211yesmaximal, characteristic, complemented
19#22621302C211yesmaximal, characteristic, complemented
20#22621281C211yesmaximal, characteristic, complemented
21#22620965C211yesmaximal, characteristic, complemented
22#22620929C211yesmaximal, characteristic, complemented
23#22620891C211yesmaximal, characteristic, complemented
24#22620100C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22620015C211yesmaximal, characteristic, complemented
27#22619420C211yesmaximal, characteristic, complemented
28#22619404C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619047C211yesmaximal, characteristic, complemented
31C73×#3402C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556623C2211yescharacteristic, complemented
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic
36C2×Q16×D73C2211yescharacteristic, complemented
37C2×SD16×D73C2211yescharacteristic
38#17989322C2211yescharacteristic
39#17989315C2211yescharacteristic, complemented
40#17989305—21no—
41#17989300—21no—
42#17989278C2211yescharacteristic
43#17989278C2211yescharacteristic, complemented
44#17989273—21no—
45#17989273—21no—
46#17989262—21no—
47#17989262—21no—
48#17989252C2211yescharacteristic
49#17989252C2211yescharacteristic, complemented
50#17989249C2211yescharacteristic
51#17989249C2211yescharacteristic
52#17989245C2211yescharacteristic
53#17989245C2211yescharacteristic, complemented
54#17989242C2211yescharacteristic, complemented
55#17989239—21no—
56#17989230C2211yescharacteristic
57#17989230C2211yescharacteristic
58#17989228—21no—
59D4×D292C2211yescharacteristic
60#17989210—21no—
61#17989176—21no—
62#17989176—21no—
63#17989142C2211yescharacteristic, complemented
64#17989139—21no—
65#17989138C2211yescharacteristic
66#17989124C2211yescharacteristic
67#17989124C2211yescharacteristic
68#17989120—21no—
69#17989120—21no—
70#17989119C2211yescharacteristic
71#17989116C2211yescharacteristic, complemented
72#17989116C2211yescharacteristic, complemented
73#124×D73C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989061—21no—
76C4×#11924029C2211yescharacteristic
77#17989055—21no—
78C4×#11924027C2211yescharacteristic, complemented
79C4×Q8×D73C2211yescharacteristic, complemented
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988977C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988955C2211yescharacteristic, complemented
85#17988952C2211yescharacteristic
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic
88#17988942C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic
90#17988927C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic
94#17988904C2211yescharacteristic
95#17988902C2211yescharacteristic
96#17988895C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic
103#17988885C2211yescharacteristic, complemented
104#17988882C2211yescharacteristic, complemented
105#17988878C2211yescharacteristic, complemented
106#17988844C2211yescharacteristic, complemented
107#17988842C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988837C2211yescharacteristic
110#17988836C2211yescharacteristic
111#17988836C2211yescharacteristic
112#17988832C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic
114#17988825C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic
116#17988819C2211yescharacteristic
117#17988813C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988812C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988811C2211yescharacteristic, complemented
124#17988810C2211yescharacteristic, complemented
125#17988810C2211yescharacteristic, complemented
126#17988809C2211yescharacteristic, complemented
127#17988808C2211yescharacteristic
128#17988807C2211yescharacteristic
129#17988807C2211yescharacteristic
130#17988806C2211yescharacteristic
131#17988806C2211yescharacteristic
132#17988806C2211yescharacteristic, complemented
133#17988804C2211yescharacteristic, complemented
134#17988804C2211yescharacteristic, complemented
135#17988802C2211yescharacteristic, complemented
136#17988800C2211yescharacteristic
137#17988799C2211yescharacteristic, complemented
138#17988794C2211yescharacteristic, complemented
139#17988789C2211yescharacteristic, complemented
140#17988788C2211yescharacteristic
141#17988787C2211yescharacteristic
142#17988748C2211yescharacteristic, complemented
143#17988748C2211yescharacteristic, complemented
144#17988746C2211yescharacteristic, complemented
145#17988744C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic, complemented
148#17988741C2211yescharacteristic, complemented
149#17988741C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic
151#17988736C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988733C2211yescharacteristic
154#17988731C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic
157#17988724C2211yescharacteristic
158#17988724C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic
160#17988718C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988695C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988692C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic
167C4×#11924018C2211yescharacteristic, complemented
168C4×#11924017C2211yescharacteristic, complemented
169C4×#11924015C2211yescharacteristic, complemented
170#17988666C2211yescharacteristic, complemented
171#17988664C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic
173#17988660C2211yescharacteristic, complemented
174#17988657C2211yescharacteristic
175#17988657C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988587C2211yescharacteristic, complemented
185#17988587C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188#556×C73C2211yescharacteristic
189#556×C73C2211yescharacteristic, complemented
190#497×C73C2211yescharacteristic
191#497×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic
193#464×C73C2211yescharacteristic
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic
197#462×C73C2211yescharacteristic, complemented
198#462×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202C4×Q16×C73C2211yescharacteristic, complemented
203C2×#11924029D411yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924027C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C2×Q8×D73C2311yescharacteristic
212C22×D292—21no—
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215#14556623—42no—
216#14556623—42no—
217#14556620—42no—
218#14556615—42no—
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224Q16×D73—42no—
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233SD16×D73—42no—
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C2×#11924011C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242#14556591C2311yescharacteristic
243#14556590—21no—
244#14556590—21no—
245#14556589—21no—
246#14556588C2311yescharacteristic
247#14556586—21no—
248#14556586—21no—
249#14556585—21no—
250#14556585—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556583C2311yescharacteristic
255#14556583C2311yescharacteristic
256#14556582—21no—
257#14556582C2311yescharacteristic
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556580—21no—
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556579—21no—
266#14556579—21no—
267#14556579C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556571—21no—
290#14556571—21no—
291#14556571—21no—
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556565—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324Q8×Dic73D411yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556—21no—
335#14556556—21no—
336#14556556—21no—
337#14556556C2311yescharacteristic
338C4×D292—21no—
339C4×D292—21no—
340C4×D292—21no—
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348#14556553—21no—
349#14556553—21no—
350#14556553—21no—
351#14556553—21no—
352#14556553—21no—
353#14556553D411yescharacteristic
354#14556553D411yescharacteristic
355#14556553D411yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556550—21no—
364#14556549—21no—
365#14556549D411yescharacteristic
366#14556549D411yescharacteristic
367#14556549D411yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C2×C4×Dic73—21no—
387C42×D73—21no—
388C42×D73—21no—
389C42×D73C2311yescharacteristic
390C42×D73C2311yescharacteristic
391C42×D73C2311yescharacteristic
392#14556525C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556523C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C4⋊Q8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452#126×C73—21no—
453#126×C73—21no—
454#126×C73—21no—
455#126×C73—21no—
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C4×Q8×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×Q8×C73C2311yescharacteristic
465C4×Q8×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469#117×C73—21no—
470#117×C73—21no—
471#107×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—42no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924028—44no—
492#11924027—22no—
493#11924027—41no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—22no—
502Q8×D73—22no—
503Q8×D73—41no—
504Q8×D73—41no—
505Q8×D73—41no—
506Q8×D73—41no—
507Q8×D73—41no—
508Q8×D73—41no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—44no—
516C2×D292C2×D411yescharacteristic
517C2×D292C2×D411yescharacteristic
518C2×D292C2×D411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—41no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552Dic292—22no—
553#11924018—22no—
554#11924018—22no—
555#11924018—41no—
556#11924018—41no—
557#11924017—22no—
558#11924017—22no—
559#11924016—22no—
560#11924016—41no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564#11924015—41no—
565#11924013—41no—
566#11924013—41no—
567#11924011—41no—
568#11924011—41no—
569#11924011—41no—
570#11924011—41no—
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C8×D73—41no—
576C8×D73—41no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—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#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C2×Q8×C73C2×D411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73C2411yescharacteristic
660C2×D4×C73C2411yescharacteristic
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663Q16×C73—41no—
664Q16×C73—41no—
665Q16×C73—41no—
666Q16×C73—41no—
667SD16×C73—41no—
668SD16×C73—41no—
669SD16×C73—41no—
670SD16×C73—41no—
671D8×C73—41no—
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73C2×D411yescharacteristic
685C4⋊C4×C73C2×D411yescharacteristic
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73—21no—
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—42no—
711C22×D73—42no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73C22×D411yescharacteristic
717C22×D73C22×D411yescharacteristic
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—41no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C2511yescharacteristic
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—42no—
760C2×Dic73—42no—
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766D292—22no—
767D292—22no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—21no—
772D292—41no—
773D292—42no—
774D292—42no—
775D292—42no—
776D292—81no—
777D292—81no—
778D292—81no—
779C4×D73—22no—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—41no—
787C4×D73—41no—
788C4×D73—41no—
789C4×D73—41no—
790C4×D73—41no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—42no—
805Dic146—42no—
806Dic146—42no—
807Dic146—81no—
808Dic146—81no—
809Dic146H(5,𝔽2)12yes—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73C23×D411yescharacteristic
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—162no—
840C2×D73—162no—
841C2×D73#57512yes—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73C2×H(5,𝔽2)11yescharacteristic
855C4×C73#58511yescharacteristic
856Dic73—21no—
857Dic73—22no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61972—731nomaximal, Sylow
868C2×C73—81no—
869C2×C73—81no—
870C2×C73#348811yescharacteristic
871C2×C73C2×#57511yescharacteristic
872C2×C73#358611yescharacteristic
873D73—22no—
874D73—41no—
875D73—41no—
876D73—81no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3402D7311yescharacteristic, complemented
881#3401—731no—
882#3377—731no—
883#3371—731no—
884#3327—731no—
885#3323—731no—
886#3312—731no—
887#3310—731no—
888#3308—731no—
889#3306—731no—
890#3277—731no—
891#3275—731no—
892#3270—731no—
893#3270—731no—
894#3266—731no—
895#3265—731no—
896#3256—731no—
897#3252—731no—
898#3250—731no—
899#3219—731no—
900#3215—731no—
901#3211—731no—
902#3117—731no—
903#3111—731no—
904#3108—731no—
905#3040—731no—
906#3037—731no—
907C2×#464—731no—
908#2989—731no—
909C73#6197211yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137—731no—
912C2×#137—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×Q16—731no—
915C22×SD16—731no—
916#559—731no—
917#557—731no—
918#556—1461no—
919#556C2×D7311yescharacteristic
920#556C2×D7311yescharacteristic, complemented
921#555—1461no—
922#552—731no—
923#552—731no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548—731no—
933#548—731no—
934#547—731no—
935#547—1461no—
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—1461no—
945#532—731no—
946#529—731no—
947#529—731no—
948#529—731no—
949#529—731no—
950#529—731no—
951#529—1461no—
952#529—1461no—
953C2×#124—731no—
954C2×#124—731no—
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—1461no—
959C2×C4×Q8—731no—
960C2×C4×Q8—731no—
961#497—731no—
962#497C2×D7311yescharacteristic
963#497C2×D7311yescharacteristic, complemented
964#496—731no—
965#495—731no—
966#495C2×D7311yescharacteristic
967#491—731no—
968#490—731no—
969#489—731no—
970#489—731no—
971#488—731no—
972#488—731no—
973#485—731no—
974#484—731no—
975#483—731no—
976#482—731no—
977#481—731no—
978#480—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#479—731no—
983#479—731no—
984#478—731no—
985#478—731no—
986#478—731no—
987#477—731no—
988#476—731no—
989#470—731no—
990#470—731no—
991#470—731no—
992#469—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#467—731no—
998#466—731no—
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464C2×D7311yescharacteristic
1017#464C2×D7311yescharacteristic, complemented
1018#463—731no—
1019#463—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463C2×D7311yescharacteristic
1024#463C2×D7311yescharacteristic
1025#462—731no—
1026#462C2×D7311yescharacteristic, complemented
1027#462C2×D7311yescharacteristic, complemented
1028#461—731no—
1029#460—731no—
1030#460—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#451—731no—
1035#451—731no—
1036#451—731no—
1037#451—731no—
1038#451—731no—
1039#450—731no—
1040#450—731no—
1041#450—731no—
1042#449—731no—
1043#449—731no—
1044#449—731no—
1045#448—731no—
1046#448—731no—
1047#448—731no—
1048#447—731no—
1049#446—731no—
1050#446C2×D7311yescharacteristic, complemented
1051#442—731no—
1052#441—731no—
1053#441—731no—
1054#441—731no—
1055#440—731no—
1056#440—731no—
1057#440C2×D7311yescharacteristic
1058#440C2×D7311yescharacteristic, complemented
1059C4×Q16—731no—
1060C4×Q16C2×D7311yescharacteristic, complemented
1061C4×SD16—731no—
1062C4×SD16—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#432—731no—
1070#432—731no—
1071#431—731no—
1072#423—731no—
1073#423—731no—
1074C2×C4⋊C8—731no—
1075#419—731no—
1076#418—731no—
1077#417—731no—
1078#417—731no—
1079C2×#103—731no—
1080C2×#102—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C22×Q8—731no—
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8—731no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093#137—2922no—
1094#137—2922no—
1095#137—2922no—
1096AGL(1,ℤ/8)—2922no—
1097C2×Q16—2922no—
1098C2×Q16—731no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16C22×D7311yescharacteristic
1104C2×Q16C22×D7311yescharacteristic
1105C2×Q16C22×D7311yescharacteristic
1106C2×Q16C22×D7311yescharacteristic
1107C2×SD16—2922no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16C22×D7311yescharacteristic
1117C2×SD16C22×D7311yescharacteristic
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16—731no—
1126C2×M16—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—1461no—
1131C4⋊Q8—1461no—
1132C4⋊Q8—1461no—
1133C4⋊Q8C22×D7311yescharacteristic
1134C4⋊Q8C22×D7311yescharacteristic
1135#127—731no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—731no—
1149#125—731no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#124—731no—
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—1461no—
1161#124—1461no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124C22×D7311yescharacteristic
1170#124C22×D7311yescharacteristic
1171#124C22×D7311yescharacteristic
1172#124C22×D7311yescharacteristic
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205#121—731no—
1206#121—731no—
1207#121—731no—
1208#121—731no—
1209#121—731no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—1461no—
1232C4×Q8—1461no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8C22×D7311yescharacteristic
1238C4×Q8C22×D7311yescharacteristic
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4C22×D7311yescharacteristic
1268C4×D4C22×D7311yescharacteristic
1269#117—21no—
1270#117—21no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—731no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42—1461no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107C22×D7311yescharacteristic
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8C22×D7311yescharacteristic
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356#97—731no—
1357#97—731no—
1358#97C22×D7311yescharacteristic
1359#97C22×D7311yescharacteristic
1360C4×C8—731no—
1361C4×C8C22×D7311yescharacteristic
1362C24—1461no—
1363C24—1461no—
1364#41—2924no—
1365#41—2921no—
1366#41—2922no—
1367#41—2921no—
1368#41—2921no—
1369#41—2921no—
1370#41—2921no—
1371#41—1462no—
1372C2×Q8—2921no—
1373C2×Q8—2921no—
1374C2×Q8—2921no—
1375C2×Q8—2921no—
1376C2×Q8—2921no—
1377C2×Q8—2921no—
1378C2×Q8—731no—
1379C2×Q8—731no—
1380C2×Q8—1461no—
1381C2×Q8—1461no—
1382C2×Q8—1461no—
1383C2×Q8—1461no—
1384C2×Q8—1462no—
1385C2×Q8—1462no—
1386C2×Q8—1461no—
1387C2×Q8D4×D7311yescharacteristic
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—2924no—
1393C2×D4—2921no—
1394C2×D4—2921no—
1395C2×D4—2921no—
1396C2×D4—2921no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439Q16—41no—
1440Q16—41no—
1441Q16—41no—
1442Q16—41no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—1462no—
1446Q16—1462no—
1447Q16—1462no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—1462no—
1458SD16—1462no—
1459SD16—1462no—
1460D8—41no—
1461D8—2921no—
1462D8—2921no—
1463M16—2921no—
1464M16—2921no—
1465M16—2921no—
1466M16—2921no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4D4×D7311yescharacteristic
1516C4⋊C4D4×D7311yescharacteristic
1517C4⋊C4D4×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—731no—
1572C42—731no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42C23×D7311yescharacteristic
1582C42C23×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—2922no—
1587C23—2922no—
1588C23—5841no—
1589C23—5841no—
1590C23—5841no—
1591C23—5841no—
1592C23—731no—
1593C23—731no—
1594C23—731no—
1595C23—1461no—
1596C23—1461no—
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—41no—
1606Q8—2922no—
1607Q8—2922no—
1608Q8—2922no—
1609Q8—5841no—
1610Q8—5841no—
1611Q8—732no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—2922no—
1620D4—2921no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—1462no—
1633D4—1462no—
1634D4—1461no—
1635D4—1461no—
1636D4—1461no—
1637D4—1461no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—2921no—
1647C2×C4—2921no—
1648C2×C4—2921no—
1649C2×C4—2921no—
1650C2×C4—2921no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—1462no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—732no—
1709C22—11682no—
1710C22—11682no—
1711C22—1461no—
1712C22—1461no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—1462no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4H(5,𝔽2)×D7311yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—81no—
1746C2—81no—
1747C2—2921no—
1748C2—2921no—
1749C2—5841no—
1750C2—5841no—
1751C2—1462no—
1752C2#2262359911yescharacteristic
1753C2#575×D7311yescharacteristic
1754C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3402C2
socleC22×C73C23×D4
hypercenter#3402D73
hypocenterC73#61972
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3402

Complements

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

NH ≅ G/Ntype
1. #22623895C2semidirect
2. #22623550C2semidirect
3. #22622997C2semidirect
4. #22622767C2semidirect
5. #22622701C2semidirect
6. #22622204C2semidirect
7. #22622154C2semidirect
8. #22621989C2semidirect
9. #22621957C2semidirect
10. #22621927C2semidirect
11. #22621899C2semidirect
12. #22621583C2semidirect
13. #22621561C2semidirect
14. #22621507C2semidirect
15. #22621500C2semidirect
16. #22621440C2semidirect
17. #22621432C2semidirect
18. #22621329C2semidirect
19. #22621302C2semidirect
20. #22621281C2semidirect
21. #22620965C2semidirect
22. #22620929C2semidirect
23. #22620891C2semidirect
24. #22620100C2semidirect
25. #22620044C2semidirect
26. #22620015C2semidirect
27. #22619420C2semidirect
28. #22619404C2semidirect
29. #464×D73C2semidirect
30. #22619047C2semidirect
31. C73×#3402C2semidirect
32. C2×#14556623C22semidirect
33. C2×#14556623C22semidirect
34. C2×#14556620C22semidirect
36. C2×Q16×D73C22semidirect
39. #17989315C22semidirect
43. #17989278C22semidirect
49. #17989252C22semidirect
53. #17989245C22semidirect
54. #17989242C22semidirect
63. #17989142C22semidirect
71. #17989116C22semidirect
72. #17989116C22semidirect
78. C4×#11924027C22semidirect
79. C4×Q8×D73C22semidirect
80. C4×Q8×D73C22semidirect
81. #17988979C22semidirect
83. #17988969C22semidirect
84. #17988955C22semidirect
86. #17988947C22semidirect
88. #17988942C22semidirect
90. #17988927C22semidirect
91. #17988924C22semidirect
92. #17988916C22semidirect
96. #17988895C22semidirect
97. #17988894C22semidirect
98. #17988893C22semidirect
99. #17988892C22semidirect
100. #17988892C22semidirect
101. #17988888C22semidirect
103. #17988885C22semidirect
104. #17988882C22semidirect
105. #17988878C22semidirect
106. #17988844C22semidirect
107. #17988842C22semidirect
108. #17988842C22semidirect
112. #17988832C22semidirect
114. #17988825C22semidirect
117. #17988813C22semidirect
118. #17988812C22semidirect
119. #17988812C22semidirect
120. #17988811C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
123. #17988811C22semidirect
124. #17988810C22semidirect
125. #17988810C22semidirect
126. #17988809C22semidirect
132. #17988806C22semidirect
133. #17988804C22semidirect
134. #17988804C22semidirect
135. #17988802C22semidirect
137. #17988799C22semidirect
138. #17988794C22semidirect
139. #17988789C22semidirect
142. #17988748C22semidirect
143. #17988748C22semidirect
144. #17988746C22semidirect
145. #17988744C22semidirect
146. #17988741C22semidirect
147. #17988741C22semidirect
148. #17988741C22semidirect
149. #17988741C22semidirect
154. #17988731C22semidirect
155. #17988731C22semidirect
158. #17988724C22semidirect
160. #17988718C22semidirect
161. #17988697C22semidirect
162. #17988695C22semidirect
163. #17988692C22semidirect
164. #17988692C22semidirect
165. #17988689C22semidirect
167. C4×#11924018C22semidirect
168. C4×#11924017C22semidirect
169. C4×#11924015C22semidirect
170. #17988666C22semidirect
171. #17988664C22semidirect
173. #17988660C22semidirect
175. #17988657C22semidirect
176. #17988642C22semidirect
177. #17988642C22semidirect
178. #17988638C22semidirect
179. #17988609C22semidirect
180. #17988609C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
184. #17988587C22semidirect
185. #17988587C22semidirect
186. #103×D73C22semidirect
189. #556×C73C22semidirect
191. #497×C73C22semidirect
194. #464×C73C22semidirect
197. #462×C73C22semidirect
198. #462×C73C22semidirect
199. #446×C73C22semidirect
201. #440×C73C22semidirect
202. C4×Q16×C73C22semidirect
880. #3402D73semidirect
909. C73#61972semidirect
920. #556C2×D73semidirect
963. #497C2×D73semidirect
1017. #464C2×D73semidirect
1026. #462C2×D73semidirect
1027. #462C2×D73semidirect
1050. #446C2×D73semidirect
1058. #440C2×D73semidirect
1060. C4×Q16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238952
#226235502
#226229972
#226227672
#226227012
#226222042
#226221542
#226219892
#226219572
#226219272
#226218992
#226215832
#226215612
#226215072
#226215002
#226214402
#226214322
#226213292
#226213022
#226212812
#226209652
#226209292
#226208912
#226201002
#226200442
#226200152
#226194202
#226194042
#464×D732
#226190472
C73×#34022
#6197273