Finite Group Databasebeta

← #33958684

Subgroups — #33958684

Order 18688.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623752C211yesmaximal, characteristic, complemented
2#22623345C211yesmaximal, characteristic
3#22621232C211yesmaximal, characteristic, complemented
4#22621227C211yesmaximal, characteristic, complemented
5#22621217C211yesmaximal, characteristic, complemented
6#22621212C211yesmaximal, characteristic, complemented
7#22621190C211yesmaximal, characteristic, complemented
8#22621182C211yesmaximal, characteristic, complemented
9#22621177C211yesmaximal, characteristic, complemented
10#22621177C211yesmaximal, characteristic, complemented
11#22621171C211yesmaximal, characteristic, complemented
12#22621170C211yesmaximal, characteristic, complemented
13#22621119C211yesmaximal, characteristic, complemented
14#22621117C211yesmaximal, characteristic, complemented
15#22621101C211yesmaximal, characteristic, complemented
16#22621097C211yesmaximal, characteristic, complemented
17#22621066C211yesmaximal, characteristic, complemented
18#22620464C211yesmaximal, characteristic, complemented
19#22620456C211yesmaximal, characteristic, complemented
20#22620280C211yesmaximal, characteristic, complemented
21#22620280C211yesmaximal, characteristic, complemented
22#22619923C211yesmaximal, characteristic, complemented
23#22619906C211yesmaximal, characteristic, complemented
24#22619886C211yesmaximal, characteristic, complemented
25#22619884C211yesmaximal, characteristic, complemented
26#22619748C211yesmaximal, characteristic, complemented
27#22619726C211yesmaximal, characteristic, complemented
28#22619716C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22618592C211yesmaximal, characteristic, complemented
31C73×#3228C211yesmaximal, characteristic, complemented
32#17989315—21no—
33#17989315—21no—
34#17989297—21no—
35#17989297—21no—
36#17989291—21no—
37#17989291—21no—
38#17989291—21no—
39#17989291—21no—
40#17989215C2211yescharacteristic, complemented
41#17989215C2211yescharacteristic, complemented
42#17989214C2211yescharacteristic
43#17989214C2211yescharacteristic
44#17989214C2211yescharacteristic
45#17989214C2211yescharacteristic, complemented
46#17989214C2211yescharacteristic, complemented
47#17989211C2211yescharacteristic
48#17989204C2211yescharacteristic
49#17989201—21no—
50#17989191C2211yescharacteristic
51#17989190C2211yescharacteristic
52#17989187—21no—
53#17989171—21no—
54#17989169—21no—
55#17989166C2211yescharacteristic
56#17989153C2211yescharacteristic
57#17989150C2211yescharacteristic
58#17989143C2211yescharacteristic
59#17989143C2211yescharacteristic, complemented
60#17989134C2211yescharacteristic
61#17989133—21no—
62#17989121C2211yescharacteristic
63#17989119C2211yescharacteristic
64#17989117—21no—
65C2×#14556583C2211yescharacteristic, complemented
66#125×D73C2211yescharacteristic
67#125×D73C2211yescharacteristic, complemented
68#17989096—21no—
69#17989094—21no—
70#17989067C2211yescharacteristic
71#17989067C2211yescharacteristic
72C4×#11924028C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988993C2211yescharacteristic, complemented
81#17988993C2211yescharacteristic, complemented
82#17988993C2211yescharacteristic, complemented
83#17988991C2211yescharacteristic, complemented
84#17988989C2211yescharacteristic, complemented
85#17988989C2211yescharacteristic, complemented
86#17988988C2211yescharacteristic, complemented
87#17988987C2211yescharacteristic, complemented
88#17988984C2211yescharacteristic, complemented
89#17988951C2211yescharacteristic
90#17988951C2211yescharacteristic
91#17988950C2211yescharacteristic
92#17988950C2211yescharacteristic
93#17988949C2211yescharacteristic
94#17988949C2211yescharacteristic
95#17988945C2211yescharacteristic
96#17988945C2211yescharacteristic
97#17988942C2211yescharacteristic
98#17988942C2211yescharacteristic
99#17988940C2211yescharacteristic
100#17988940C2211yescharacteristic
101#17988932C2211yescharacteristic
102#17988932C2211yescharacteristic
103#17988931C2211yescharacteristic, complemented
104#17988930C2211yescharacteristic, complemented
105#17988928C2211yescharacteristic, complemented
106#17988928C2211yescharacteristic, complemented
107#17988924C2211yescharacteristic, complemented
108#17988923C2211yescharacteristic, complemented
109#17988919C2211yescharacteristic, complemented
110#17988918C2211yescharacteristic, complemented
111#17988914C2211yescharacteristic
112#17988913C2211yescharacteristic
113#17988911C2211yescharacteristic
114#17988911C2211yescharacteristic
115#17988910C2211yescharacteristic
116#17988910C2211yescharacteristic, complemented
117#17988909C2211yescharacteristic
118#17988909C2211yescharacteristic, complemented
119#17988907C2211yescharacteristic
120#17988906C2211yescharacteristic
121#17988904C2211yescharacteristic
122#17988904C2211yescharacteristic, complemented
123#17988903C2211yescharacteristic
124#17988903C2211yescharacteristic, complemented
125#17988902C2211yescharacteristic
126#17988901C2211yescharacteristic
127#17988899C2211yescharacteristic
128#17988899C2211yescharacteristic, complemented
129#17988898C2211yescharacteristic
130#17988898C2211yescharacteristic, complemented
131#17988897C2211yescharacteristic, complemented
132#17988895C2211yescharacteristic, complemented
133#17988895C2211yescharacteristic, complemented
134#17988893C2211yescharacteristic, complemented
135#17988891C2211yescharacteristic, complemented
136#17988891C2211yescharacteristic, complemented
137#17988890C2211yescharacteristic
138#17988889C2211yescharacteristic
139#17988889C2211yescharacteristic, complemented
140#17988888C2211yescharacteristic
141#17988888C2211yescharacteristic
142#17988887C2211yescharacteristic
143#17988887C2211yescharacteristic
144#17988887C2211yescharacteristic, complemented
145#17988887C2211yescharacteristic, complemented
146#17988886C2211yescharacteristic
147#17988885C2211yescharacteristic
148#17988885C2211yescharacteristic, complemented
149#17988884C2211yescharacteristic
150#17988884C2211yescharacteristic
151#17988881C2211yescharacteristic, complemented
152#17988876C2211yescharacteristic
153#17988875C2211yescharacteristic
154#17988875C2211yescharacteristic, complemented
155#17988871C2211yescharacteristic, complemented
156#17988866C2211yescharacteristic
157#17988865C2211yescharacteristic
158#17988865C2211yescharacteristic, complemented
159#17988646C2211yescharacteristic, complemented
160#17988646C2211yescharacteristic, complemented
161#17988645C2211yescharacteristic, complemented
162#17988645C2211yescharacteristic, complemented
163#17988644C2211yescharacteristic, complemented
164#17988643C2211yescharacteristic, complemented
165#17988639C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988622C2211yescharacteristic
172#107×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#17988609C2211yescharacteristic
175C4⋊C8×D73C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988585C2211yescharacteristic
179#17988585C2211yescharacteristic
180#17988580C2211yescharacteristic
181#17988580C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988541C2211yescharacteristic
187#17988541C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189#532×C73C2211yescharacteristic
190#500×C73C2211yescharacteristic, complemented
191#498×C73C2211yescharacteristic, complemented
192#486×C73C2211yescharacteristic
193#486×C73C2211yescharacteristic
194#482×C73C2211yescharacteristic
195#482×C73C2211yescharacteristic
196#482×C73C2211yescharacteristic, complemented
197#482×C73C2211yescharacteristic, complemented
198#478×C73C2211yescharacteristic
199#478×C73C2211yescharacteristic
200#478×C73C2211yescharacteristic, complemented
201#478×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×D4×D73C2311yescharacteristic
207C22×C4×D73—21no—
208C2×#11924011C2311yescharacteristic
209C2×#11924011C2311yescharacteristic
210C2×C8×D73C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212#14556591—21no—
213#14556591—21no—
214#14556590C2311yescharacteristic
215#14556590C2311yescharacteristic
216#14556590C2311yescharacteristic
217#14556590C2311yescharacteristic
218#14556590C2311yescharacteristic
219#14556589—21no—
220#14556589—21no—
221#14556589—21no—
222#14556589—21no—
223#14556589—21no—
224#14556587—21no—
225#14556587C2311yescharacteristic
226#14556586—21no—
227#14556585—21no—
228#14556584—21no—
229#14556584—21no—
230#14556583—21no—
231#14556583—21no—
232#14556583—21no—
233#14556583—21no—
234#14556583C2311yescharacteristic
235#14556583C2311yescharacteristic
236#14556583C2311yescharacteristic
237#14556583C2311yescharacteristic
238#14556583C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556580—21no—
254#14556579C2311yescharacteristic
255#14556578—21no—
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556575—21no—
261#14556574—21no—
262#14556573—21no—
263#14556573—21no—
264#14556572—21no—
265#14556572—21no—
266#14556572—21no—
267#14556571C2311yescharacteristic
268#14556570C2311yescharacteristic
269#14556569—21no—
270#14556569—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556568—21no—
279#14556568—21no—
280#14556568—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556567—21no—
285#14556567—21no—
286#14556567—21no—
287#14556567—21no—
288#14556567—21no—
289#14556567—21no—
290#14556566C2311yescharacteristic
291#14556565C2311yescharacteristic
292#14556564—21no—
293#14556564—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556562—21no—
301#14556562—21no—
302#14556562C2311yescharacteristic
303#14556562C2311yescharacteristic
304#14556561—21no—
305#14556559—21no—
306#14556559—21no—
307#14556559—21no—
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146D411yescharacteristic
311C4×Dic146D411yescharacteristic
312C4×Dic146C2311yescharacteristic
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292—21no—
320C4×D292D411yescharacteristic
321C4×D292D411yescharacteristic
322C4×D292C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325#14556553C2311yescharacteristic
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331C4×C22⋊D73D411yescharacteristic
332C4×C22⋊D73D411yescharacteristic
333C4×C22⋊D73D411yescharacteristic
334C4×C22⋊D73D411yescharacteristic
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556550—21no—
342#14556550C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556548—21no—
349#14556548C2311yescharacteristic
350#14556548C2311yescharacteristic
351#14556547—21no—
352C2×C4⋊Dic73C2311yescharacteristic
353C2×C4⋊Dic73C2311yescharacteristic
354C2×#11924007—21no—
355C2×#11924007—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73—21no—
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C22⋊C4×D73—21no—
366C2×C4×Dic73—21no—
367C42×D73C2311yescharacteristic
368C42×D73C2311yescharacteristic
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
373#14556524C2311yescharacteristic
374#14556524C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#127×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#124×C73—21no—
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445#121×C73—21no—
446#121×C73C2311yescharacteristic
447#121×C73C2311yescharacteristic
448C4×Q8×C73—21no—
449C4×Q8×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C42×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—22no—
480#11924028—22no—
481#11924028—82no—
482#11924027—22no—
483#11924027—22no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×D292—21no—
492C2×D292C2×D411yescharacteristic
493C2×D292C2411yescharacteristic
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73C2×D411yescharacteristic
502C2×C22⋊D73C2×D411yescharacteristic
503D4×D73—22no—
504D4×D73—22no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—82no—
518C2×C4×D73C2×D411yescharacteristic
519C2×C4×D73C2×D411yescharacteristic
520C2×C4×D73C2×D411yescharacteristic
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524#11924011—22no—
525#11924011—22no—
526C2×#10596831C2411yescharacteristic
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C8×D73—22no—
531C8×D73—22no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73C2×D411yescharacteristic
541C4⋊Dic73C2×D411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73C2×D411yescharacteristic
613C4×Dic73C2×D411yescharacteristic
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2411yescharacteristic
617C4×Dic73C2411yescharacteristic
618#41×C73—82no—
619C2×Q8×C73—21no—
620C2×Q8×C73—21no—
621C2×Q8×C73—21no—
622C2×D4×C73—21no—
623C2×D4×C73—21no—
624C2×D4×C73—21no—
625C2×D4×C73—21no—
626C2×D4×C73C2411yescharacteristic
627C2×D4×C73C2411yescharacteristic
628C22×C4×C73—21no—
629C22×C4×C73—21no—
630C22×C4×C73C2×D411yescharacteristic
631C22×C4×C73C2×D411yescharacteristic
632C22×C4×C73C2411yescharacteristic
633C2×C8×C73C2411yescharacteristic
634C2×C8×C73C2411yescharacteristic
635C2×C8×C73C2411yescharacteristic
636C2×C8×C73C2411yescharacteristic
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73C2411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
656C42×C73—21no—
657C42×C73—21no—
658C42×C73C2×D411yescharacteristic
659C42×C73C2×D411yescharacteristic
660C42×C73C2411yescharacteristic
661C42×C73C2411yescharacteristic
662C23×C73—21no—
663C23×C73—21no—
664C23×C73C22×D411yescharacteristic
665C22×D73—21no—
666C22×D73—42no—
667C22×D73—81no—
668C22×D73—81no—
669C22×D73C22×D411yescharacteristic
670C22×D73C22×D411yescharacteristic
671Q8×C73—81no—
672Q8×C73—81no—
673Q8×C73—81no—
674D4×C73—21no—
675D4×C73—21no—
676D4×C73—21no—
677D4×C73—21no—
678D4×C73—81no—
679D4×C73—81no—
680D4×C73—81no—
681D4×C73—81no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—41no—
691C2×C4×C73—41no—
692C2×C4×C73—42no—
693C2×C4×C73—42no—
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C22×D411yescharacteristic
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C22×D411yescharacteristic
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C2511yescharacteristic
700C22⋊D73—22no—
701C22⋊D73—22no—
702C22⋊D73—42no—
703C22⋊D73—42no—
704C22⋊D73—81no—
705C22⋊D73—81no—
706C22⋊D73—81no—
707C22⋊D73—81no—
708C22⋊D73—81no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—42no—
717C2×Dic73—81no—
718C2×Dic73—81no—
719C2×Dic73—81no—
720C2×Dic73—81no—
721C2×Dic73C22×D411yescharacteristic
722C2×Dic73C22×D411yescharacteristic
723C2×Dic73C22×D411yescharacteristic
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727D292—22no—
728D292—21no—
729D292—21no—
730D292—81no—
731C4×D73—21no—
732C4×D73—21no—
733C4×D73—41no—
734C4×D73—41no—
735C4×D73—41no—
736C4×D73—41no—
737C4×D73—42no—
738C4×D73—81no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D73—81no—
744C4×D732−1+412yes—
745C4×D732−1+412yes—
746Dic146—22no—
747Dic146—21no—
748Dic146—21no—
749Dic146—81no—
750Dic146—81no—
751Dic146—81no—
752Dic146—81no—
753Dic146—81no—
754C8×C73—21no—
755C8×C73—21no—
756C8×C73—21no—
757C8×C73—21no—
758#10596831—21no—
759#10596831—21no—
760#10596831—21no—
761#10596831—21no—
762C22×C73—21no—
763C22×C73—21no—
764C22×C73—21no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73C23×D411yescharacteristic
772C2×D73—21no—
773C2×D73—21no—
774C2×D73—21no—
775C2×D73—21no—
776C2×D73—21no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—41no—
780C2×D73—84no—
781C2×D73#53612yes—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73C2×2−1+411yescharacteristic
794C4×C73C2×2−1+411yescharacteristic
795Dic73—21no—
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—41no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73#53612yes—
808#60890—731nomaximal, Sylow
809C2×C73—41no—
810C2×C73—81no—
811C2×C73—81no—
812C2×C73C2×#53611yescharacteristic
813C2×C73#358411yescharacteristic
814C2×C73#358511yescharacteristic
815D73—22no—
816D73—41no—
817D73—81no—
818#3504—731no—
819#3460—731no—
820#3244—731no—
821#3244—731no—
822#3243—731no—
823#3243—731no—
824#3241—731no—
825#3241—731no—
826#3241—731no—
827#3241—731no—
828#3240—731no—
829#3240—731no—
830#3234—731no—
831#3234—731no—
832#3232—731no—
833#3232—731no—
834#3228—731no—
835#3228D7311yescharacteristic, complemented
836#3164—731no—
837#3163—731no—
838#3136—731no—
839#3136—731no—
840#3099—731no—
841#3098—731no—
842#3096—731no—
843#3096—731no—
844#3080—731no—
845#3077—731no—
846#3076—731no—
847C2×#478—731no—
848#2925—731no—
849C73#6089011yescharacteristic, complemented, Sylow
850#557—1461no—
851#557—1461no—
852#554—1461no—
853#554—1461no—
854#554—1461no—
855#554—1461no—
856#554—1461no—
857#554—1461no—
858#544—731no—
859#544—731no—
860#544—731no—
861#544—731no—
862#544—731no—
863#544—731no—
864#544—731no—
865#542—731no—
866#542—731no—
867#542—1461no—
868#540—731no—
869#540—731no—
870#540—1461no—
871#538—1461no—
872#538—1461no—
873#537—731no—
874#535—731no—
875#535—731no—
876#533—731no—
877#533—731no—
878#533C2×D7311yescharacteristic, complemented
879#532—731no—
880#532—1461no—
881#532C2×D7311yescharacteristic
882#529—731no—
883#529—731no—
884#529—1461no—
885C2×#125—731no—
886C2×#125—731no—
887C2×#125—731no—
888#525—1461no—
889#525—1461no—
890#520—731no—
891#520—731no—
892C4×#41—731no—
893C4×#41—731no—
894C2×C4×D4—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#501—731no—
899#501—731no—
900#501—731no—
901#501—731no—
902#501—731no—
903#500—731no—
904#500C2×D7311yescharacteristic, complemented
905#499—731no—
906#499—731no—
907#499—731no—
908#499—731no—
909#498—731no—
910#498C2×D7311yescharacteristic, complemented
911#490—731no—
912#490—731no—
913#490—731no—
914#490—731no—
915#489—731no—
916#489—731no—
917#489—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#488—731no—
923#486—731no—
924#486—731no—
925#486C2×D7311yescharacteristic
926#486C2×D7311yescharacteristic
927#485—731no—
928#485—731no—
929#485—731no—
930#485—731no—
931#484—731no—
932#484—731no—
933#483—731no—
934#483—731no—
935#482—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482—731no—
942#482—731no—
943#482C2×D7311yescharacteristic
944#482C2×D7311yescharacteristic
945#482C2×D7311yescharacteristic, complemented
946#482C2×D7311yescharacteristic, complemented
947#481—731no—
948#481—731no—
949#481—731no—
950#481—731no—
951#481—731no—
952#481—731no—
953#480—731no—
954#480—731no—
955#480—731no—
956#480—731no—
957#480—731no—
958#480—731no—
959#479—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#479—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#478—731no—
970#478—731no—
971#478—731no—
972#478—731no—
973#478—731no—
974#478—731no—
975#478—731no—
976#478—731no—
977#478—731no—
978#478—731no—
979#478C2×D7311yescharacteristic
980#478C2×D7311yescharacteristic
981#478C2×D7311yescharacteristic, complemented
982#478C2×D7311yescharacteristic, complemented
983#477—731no—
984#476—731no—
985#476—731no—
986#476—731no—
987#475—731no—
988#474—731no—
989#474—731no—
990#474—731no—
991#433—731no—
992#433—731no—
993#433—731no—
994#433—731no—
995#432—731no—
996#432—731no—
997#431—731no—
998#431C2×D7311yescharacteristic, complemented
999#428—731no—
1000#428—731no—
1001#428—731no—
1002#428—731no—
1003#427—731no—
1004#427—731no—
1005C2×#107—731no—
1006C2×#106—731no—
1007#423—731no—
1008C2×C4⋊C8—731no—
1009#418—731no—
1010#418—731no—
1011#417—731no—
1012#417—731no—
1013#416—731no—
1014#416—731no—
1015C2×#102—731no—
1016C2×#102—731no—
1017#408—731no—
1018#408—731no—
1019#405—731no—
1020#405—731no—
1021C2×#41—21no—
1022C2×#41—731no—
1023C2×#41—731no—
1024C2×#41—1461no—
1025C22×D4—731no—
1026C23×C4—1461no—
1027C2×M16—731no—
1028C2×M16—731no—
1029C22×C8—731no—
1030C22×C8—731no—
1031C4⋊Q8—731no—
1032C4⋊Q8—731no—
1033C4⋊Q8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—1461no—
1037C4⋊Q8—1461no—
1038C4⋊Q8—1461no—
1039C4⋊Q8—1461no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8C22×D7311yescharacteristic
1044C4⋊Q8C22×D7311yescharacteristic
1045C4⋊Q8C22×D7311yescharacteristic
1046#127—731no—
1047#127—1461no—
1048#127C22×D7311yescharacteristic
1049#126—1461no—
1050#126—1461no—
1051#126—1461no—
1052#126—1461no—
1053#125—731no—
1054#125—731no—
1055#125—731no—
1056#125—731no—
1057#125—731no—
1058#125—731no—
1059#125—731no—
1060#125—731no—
1061#125—731no—
1062#125—731no—
1063#125—1461no—
1064#125—1461no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125—1461no—
1070#125—1461no—
1071#125—1461no—
1072#125—1461no—
1073#125—1461no—
1074#125—1461no—
1075#125—1461no—
1076#125C22×D7311yescharacteristic
1077#125C22×D7311yescharacteristic
1078#124—21no—
1079#124—731no—
1080#124—731no—
1081#124—1461no—
1082#124—1461no—
1083#124—1461no—
1084#124—1461no—
1085#123—1461no—
1086#123—1461no—
1087#123—1461no—
1088#123—1461no—
1089#123—1461no—
1090#123—1461no—
1091#123—1461no—
1092#123—1461no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—731no—
1096C22⋊Q8—731no—
1097C22⋊Q8—1461no—
1098C22⋊Q8—1461no—
1099C22⋊Q8—1461no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8—1461no—
1118#121—21no—
1119#121—731no—
1120#121—731no—
1121#121—731no—
1122#121—731no—
1123#121—1461no—
1124#121—1461no—
1125#121—1461no—
1126#121—1461no—
1127#121—1461no—
1128#121—1461no—
1129#121—1461no—
1130#121—1461no—
1131#121—1461no—
1132#121—1461no—
1133#121C22×D7311yescharacteristic
1134#121C22×D7311yescharacteristic
1135#120—1461no—
1136#120—1461no—
1137#120—1461no—
1138#120—1461no—
1139C4×Q8—21no—
1140C4×Q8—21no—
1141C4×Q8—731no—
1142C4×Q8—731no—
1143C4×Q8—731no—
1144C4×Q8—731no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8—1461no—
1150C4×Q8—1461no—
1151C4×D4—21no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—731no—
1155C4×D4—731no—
1156C4×D4—731no—
1157C4×D4—731no—
1158C4×D4—731no—
1159C4×D4—731no—
1160C4×D4—731no—
1161C4×D4—731no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4—1461no—
1167C4×D4—1461no—
1168C4×D4—1461no—
1169C4×D4—1461no—
1170C4×D4—1461no—
1171C4×D4—1461no—
1172C4×D4—1461no—
1173C4×D4—1461no—
1174C4×D4—1461no—
1175C4×D4C22×D7311yescharacteristic
1176C4×D4C22×D7311yescharacteristic
1177#117—731no—
1178#117—731no—
1179#117—731no—
1180#117—731no—
1181#117—731no—
1182#117—731no—
1183#117—731no—
1184#117—731no—
1185#117—1461no—
1186#117—1461no—
1187#117—1461no—
1188#117C22×D7311yescharacteristic
1189#117C22×D7311yescharacteristic
1190C2×C4⋊C4—731no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—731no—
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—1461no—
1198C2×C4⋊C4—1461no—
1199C2×C4⋊C4—1461no—
1200C2×C4⋊C4—1461no—
1201C2×C4⋊C4—1461no—
1202C2×C4⋊C4—1461no—
1203C2×C22⋊C4—1461no—
1204C2×C42—731no—
1205C2×C42—731no—
1206C2×C42—1461no—
1207C2×C42C22×D7311yescharacteristic
1208#107—731no—
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#107—731no—
1216#107—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107C22×D7311yescharacteristic
1221#107C22×D7311yescharacteristic
1222#107C22×D7311yescharacteristic
1223#107C22×D7311yescharacteristic
1224#106—731no—
1225#106—731no—
1226#106—731no—
1227#106—731no—
1228#106—731no—
1229#106—731no—
1230#106—731no—
1231#106—731no—
1232#106—731no—
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106C22×D7311yescharacteristic
1237#106C22×D7311yescharacteristic
1238#106C22×D7311yescharacteristic
1239#106C22×D7311yescharacteristic
1240C4⋊C8—731no—
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8C22×D7311yescharacteristic
1247C4⋊C8C22×D7311yescharacteristic
1248#103—731no—
1249#103—731no—
1250#103—731no—
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102—731no—
1269#102—731no—
1270#102—731no—
1271#102—731no—
1272#102C22×D7311yescharacteristic
1273#102C22×D7311yescharacteristic
1274#102C22×D7311yescharacteristic
1275#102C22×D7311yescharacteristic
1276#102C22×D7311yescharacteristic
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280C22⋊C8—731no—
1281C22⋊C8—731no—
1282C22⋊C8—731no—
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8C22×D7311yescharacteristic
1287C22⋊C8C22×D7311yescharacteristic
1288#97—731no—
1289#97—731no—
1290#97—731no—
1291#97—731no—
1292C4×C8—731no—
1293C4×C8—731no—
1294C4×C8C22×D7311yescharacteristic
1295C4×C8C22×D7311yescharacteristic
1296C24—1461no—
1297#41—82no—
1298#41—5842no—
1299#41—1462no—
1300#41—1462no—
1301#41—1462no—
1302#41—1462no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—731no—
1307C2×Q8—731no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8—1461no—
1312C2×Q8—1461no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—731no—
1318C2×D4—731no—
1319C2×D4—731no—
1320C2×D4—731no—
1321C2×D4—1461no—
1322C2×D4—1462no—
1323C2×D4—1462no—
1324C2×D4—1461no—
1325C2×D4—1461no—
1326C2×D4—1461no—
1327C2×D4—1461no—
1328C2×D4—1461no—
1329C2×D4—1461no—
1330C2×D4—1461no—
1331C2×D4C23×D7311yescharacteristic
1332C2×D4C23×D7311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—5842no—
1336C22×C4—731no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—731no—
1341C22×C4—731no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1461no—
1349C22×C4—1461no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4—1461no—
1354C22×C4D4×D7311yescharacteristic
1355C22×C4D4×D7311yescharacteristic
1356C22×C4C23×D7311yescharacteristic
1357M16—1462no—
1358M16—1462no—
1359C2×C8—731no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—1462no—
1364C2×C8—1462no—
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C2×C8C23×D7311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—731no—
1377C4⋊C4—731no—
1378C4⋊C4—731no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—1461no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C4⋊C4C23×D7311yescharacteristic
1428C4⋊C4C23×D7311yescharacteristic
1429C4⋊C4C23×D7311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
1439C22⋊C4—731no—
1440C22⋊C4—731no—
1441C22⋊C4—731no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C22⋊C4—1461no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C42—21no—
1462C42—21no—
1463C42—731no—
1464C42—731no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—731no—
1469C42—1461no—
1470C42—1461no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42D4×D7311yescharacteristic
1477C42D4×D7311yescharacteristic
1478C42C23×D7311yescharacteristic
1479C42C23×D7311yescharacteristic
1480C23—21no—
1481C23—21no—
1482C23—2922no—
1483C23—5841no—
1484C23—5841no—
1485C23—731no—
1486C23—731no—
1487C23—1461no—
1488C23C2×D4×D7311yescharacteristic
1489Q8—81no—
1490Q8—81no—
1491Q8—81no—
1492Q8—5841no—
1493Q8—5841no—
1494Q8—5841no—
1495Q8—5841no—
1496Q8—5841no—
1497Q8—1462no—
1498Q8—1461no—
1499Q8—1461no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—81no—
1505D4—81no—
1506D4—81no—
1507D4—81no—
1508D4—2922no—
1509D4—2922no—
1510D4—5841no—
1511D4—5841no—
1512D4—5841no—
1513D4—5841no—
1514D4—5841no—
1515D4—5841no—
1516D4—1462no—
1517D4—1462no—
1518D4—1462no—
1519D4—1461no—
1520D4—1461no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—42no—
1532C2×C4—42no—
1533C2×C4—2922no—
1534C2×C4—2921no—
1535C2×C4—2921no—
1536C2×C4—2921no—
1537C2×C4—2921no—
1538C2×C4—2922no—
1539C2×C4—5841no—
1540C2×C4—5841no—
1541C2×C4—5841no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—5841no—
1548C2×C4—5841no—
1549C2×C4—731no—
1550C2×C4—732no—
1551C2×C4—732no—
1552C2×C4—731no—
1553C2×C4—731no—
1554C2×C4—731no—
1555C2×C4—731no—
1556C2×C4—731no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4C2×D4×D7311yescharacteristic
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C24×D7311yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1461no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—2921no—
1590C22—2921no—
1591C22—2921no—
1592C22—5844no—
1593C22—732no—
1594C22—1461no—
1595C22—1461no—
1596C22—1461no—
1597C22—1461no—
1598C22—1461no—
1599C22C22×D4×D7311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—2921no—
1612C4—2921no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—732no—
1619C4—1461no—
1620C4—1461no—
1621C4—1461no—
1622C4—1461no—
1623C4—1461no—
1624C42−1+4×D7311yescharacteristic
1625C42−1+4×D7311yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—81no—
1629C2—2921no—
1630C2—5841no—
1631C2—1462no—
1632C2#536×D7311yescharacteristic
1633C2#2262470011yescharacteristic
1634C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3228C2
socleC22×C73C23×D4
prime radical#22623345C2
hypercenter#3228D73
hypocenterC73#60890
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3228

Complements

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

NH ≅ G/Ntype
1. #22623752C2semidirect
3. #22621232C2semidirect
4. #22621227C2semidirect
5. #22621217C2semidirect
6. #22621212C2semidirect
7. #22621190C2semidirect
8. #22621182C2semidirect
9. #22621177C2semidirect
10. #22621177C2semidirect
11. #22621171C2semidirect
12. #22621170C2semidirect
13. #22621119C2semidirect
14. #22621117C2semidirect
15. #22621101C2semidirect
16. #22621097C2semidirect
17. #22621066C2semidirect
18. #22620464C2semidirect
19. #22620456C2semidirect
20. #22620280C2semidirect
21. #22620280C2semidirect
22. #22619923C2semidirect
23. #22619906C2semidirect
24. #22619886C2semidirect
25. #22619884C2semidirect
26. #22619748C2semidirect
27. #22619726C2semidirect
28. #22619716C2semidirect
29. #478×D73C2semidirect
30. #22618592C2semidirect
31. C73×#3228C2semidirect
40. #17989215C22semidirect
41. #17989215C22semidirect
45. #17989214C22semidirect
46. #17989214C22semidirect
59. #17989143C22semidirect
65. C2×#14556583C22semidirect
67. #125×D73C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988993C22semidirect
81. #17988993C22semidirect
82. #17988993C22semidirect
83. #17988991C22semidirect
84. #17988989C22semidirect
85. #17988989C22semidirect
86. #17988988C22semidirect
87. #17988987C22semidirect
88. #17988984C22semidirect
103. #17988931C22semidirect
104. #17988930C22semidirect
105. #17988928C22semidirect
106. #17988928C22semidirect
107. #17988924C22semidirect
108. #17988923C22semidirect
109. #17988919C22semidirect
110. #17988918C22semidirect
116. #17988910C22semidirect
118. #17988909C22semidirect
122. #17988904C22semidirect
124. #17988903C22semidirect
128. #17988899C22semidirect
130. #17988898C22semidirect
131. #17988897C22semidirect
132. #17988895C22semidirect
133. #17988895C22semidirect
134. #17988893C22semidirect
135. #17988891C22semidirect
136. #17988891C22semidirect
139. #17988889C22semidirect
144. #17988887C22semidirect
145. #17988887C22semidirect
148. #17988885C22semidirect
151. #17988881C22semidirect
154. #17988875C22semidirect
155. #17988871C22semidirect
158. #17988865C22semidirect
159. #17988646C22semidirect
160. #17988646C22semidirect
161. #17988645C22semidirect
162. #17988645C22semidirect
163. #17988644C22semidirect
164. #17988643C22semidirect
165. #17988639C22semidirect
188. #533×C73C22semidirect
190. #500×C73C22semidirect
191. #498×C73C22semidirect
196. #482×C73C22semidirect
197. #482×C73C22semidirect
200. #478×C73C22semidirect
201. #478×C73C22semidirect
202. #431×C73C22semidirect
835. #3228D73semidirect
849. C73#60890semidirect
878. #533C2×D73semidirect
904. #500C2×D73semidirect
910. #498C2×D73semidirect
945. #482C2×D73semidirect
946. #482C2×D73semidirect
981. #478C2×D73semidirect
982. #478C2×D73semidirect
998. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237522
#226233452
#226212322
#226212272
#226212172
#226212122
#226211902
#226211822
#226211772
#226211712
#226211702
#226211192
#226211172
#226211012
#226210972
#226210662
#226204642
#226204562
#226202802
#226199232
#226199062
#226198862
#226198842
#226197482
#226197262
#226197162
#478×D732
#226185922
C73×#32282
#6089073