Finite Group Databasebeta

← #33968051

Subgroups — #33968051

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623542C211yesmaximal, characteristic, complemented
2#22623525C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22622875C211yesmaximal, characteristic, complemented
5#22622702C211yesmaximal, characteristic, complemented
6#22622691C211yesmaximal, characteristic, complemented
7#22622477C211yesmaximal, characteristic, complemented
8#22622329C211yesmaximal, characteristic, complemented
9#22622066C211yesmaximal, characteristic, complemented
10#22622036C211yesmaximal, characteristic, complemented
11#22621970C211yesmaximal, characteristic, complemented
12#22621940C211yesmaximal, characteristic, complemented
13#22621831C211yesmaximal, characteristic, complemented
14#22621779C211yesmaximal, characteristic, complemented
15#22621635C211yesmaximal, characteristic, complemented
16#22621478C211yesmaximal, characteristic, complemented
17#22621431C211yesmaximal, characteristic, complemented
18#22620653C211yesmaximal, characteristic, complemented
19#22620631C211yesmaximal, characteristic, complemented
20#22620622C211yesmaximal, characteristic, complemented
21#22620105C211yesmaximal, characteristic, complemented
22#22620084C211yesmaximal, characteristic, complemented
23#22620066C211yesmaximal, characteristic, complemented
24#22620047C211yesmaximal, characteristic, complemented
25#22620043C211yesmaximal, characteristic, complemented
26#22620019C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618738C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30C2×#17988686C211yesmaximal, characteristic, complemented
31C73×#3346C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35#17989322C2211yescharacteristic
36#17989321—21no—
37#17989320C2211yescharacteristic, complemented
38#17989314C2211yescharacteristic, complemented
39#17989305C2211yescharacteristic, complemented
40#17989304—21no—
41#17989298C2211yescharacteristic
42#17989290—21no—
43#17989286—21no—
44#17989285C2211yescharacteristic
45#17989285C2211yescharacteristic
46#17989285C2211yescharacteristic, complemented
47#17989280—21no—
48#17989264—21no—
49#17989264—21no—
50#17989255C2211yescharacteristic, complemented
51#17989246C2211yescharacteristic
52#17989243C2211yescharacteristic, complemented
53#17989232—21no—
54#17989228C2211yescharacteristic
55#17989228C2211yescharacteristic
56D4×D292C2211yescharacteristic
57#17989138C2211yescharacteristic
58#17989132—21no—
59#17989132C2211yescharacteristic, complemented
60#17989123C2211yescharacteristic
61#17989123C2211yescharacteristic
62#17989122—21no—
63#17989122C2211yescharacteristic, complemented
64#17989120—21no—
65#17989118C2211yescharacteristic, complemented
66#17989114—21no—
67#17989100—21no—
68#17989100—21no—
69C4×#11924029C2211yescharacteristic
70#17989055C2211yescharacteristic, complemented
71C4×#11924027—21no—
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic, complemented
74C2×#14556556C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C2×#14556553C2211yescharacteristic
77C4×D4×D73—21no—
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic
81#17988973C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic
84#17988950C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic
95#17988905C2211yescharacteristic
96#17988905C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic
101#17988890C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic
104#17988876C2211yescharacteristic
105#17988876C2211yescharacteristic, complemented
106#17988869C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic
109#17988833C2211yescharacteristic
110#17988824C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic, complemented
112#17988823C2211yescharacteristic
113#17988821C2211yescharacteristic
114#17988818C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988812C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic
123#17988801C2211yescharacteristic
124#17988801C2211yescharacteristic, complemented
125#17988788C2211yescharacteristic
126#17988782C2211yescharacteristic
127#17988781C2211yescharacteristic
128#17988781C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic
130#17988747C2211yescharacteristic, complemented
131#17988742C2211yescharacteristic, complemented
132#17988740C2211yescharacteristic
133#17988735C2211yescharacteristic
134#17988734C2211yescharacteristic
135#17988733C2211yescharacteristic, complemented
136#17988733C2211yescharacteristic, complemented
137#17988728C2211yescharacteristic
138#17988723C2211yescharacteristic
139#17988720C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988689C2211yescharacteristic
155#17988688C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic
157#17988686C2211yescharacteristic
158#17988686C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic
167#17988674C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988669C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic
180#17988586C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic, complemented
184C2×#14556511C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
208C2×#11924027C2311yescharacteristic
209C22×Dic146C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556619—24no—
216#14556612—24no—
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924017—24no—
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556590—21no—
238#14556590C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556587—21no—
241#14556587C2311yescharacteristic
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556585—21no—
249#14556584—21no—
250#14556584—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556580C2311yescharacteristic
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556575—21no—
276#14556575—21no—
277#14556574—21no—
278#14556573—21no—
279#14556572—21no—
280#14556571—21no—
281#14556571C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556568—21no—
285#14556567—21no—
286#14556567—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565—21no—
296#14556565—21no—
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556564—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556561—21no—
306#14556561—21no—
307#14556561—21no—
308#14556561—21no—
309Q8×Dic73C2311yescharacteristic
310C4×Dic146—21no—
311C4×Dic146C2311yescharacteristic
312C4×Dic146C2311yescharacteristic
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556D411yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322C4×D292—21no—
323C4×D292—21no—
324C4×D292C2311yescharacteristic
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73D411yescharacteristic
328D4×Dic73C2311yescharacteristic
329#14556553—21no—
330#14556553—21no—
331#14556553—21no—
332#14556553—21no—
333#14556553—21no—
334#14556553—21no—
335#14556553—21no—
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556549—21no—
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549D411yescharacteristic
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547D411yescharacteristic
373#14556547D411yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C2×#11924005—21no—
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924029—82no—
486#11924028—22no—
487#11924028—41no—
488#11924027—22no—
489#11924027—41no—
490#11924027—42no—
491#11924027—44no—
492C2×Dic146—22no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—41no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—22no—
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—41no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—44no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C2×C4×D73—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×D73—21no—
544C2×C4×D73—82no—
545C2×C4×D73—82no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549#11924018—22no—
550#11924018—41no—
551#11924017—22no—
552#11924017—22no—
553#11924017—22no—
554#11924017—22no—
555#11924017—41no—
556#11924017#4114yescomplemented
557#11924015—41no—
558D584—22no—
559D584—22no—
560D584—41no—
561#11924013—22no—
562#11924013—41no—
563#11924013—41no—
564#11924012—41no—
565C2×#10596831—41no—
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C8×D73—22no—
571C8×D73—41no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
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×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73—21no—
647C2×Q8×C73C2411yescharacteristic
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658SD16×C73—22no—
659M16×C73—22no—
660C2×C8×C73—22no—
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—81no—
709D4×C73—22no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—42no—
713D4×C73—81no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73—81no—
728C2×C4×C73—81no—
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C2511yescharacteristic
734C22⋊D73—22no—
735C22⋊D73—41no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—81no—
743C2×Dic73—22no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—41no—
749C2×Dic73—41no—
750C2×Dic73—41no—
751C2×Dic73—42no—
752C2×Dic73—42no—
753C2×Dic73—42no—
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—42no—
769D292—42no—
770D292—42no—
771D292—42no—
772D292—81no—
773D292—81no—
774D292—81no—
775D292—81no—
776D292C2×#4112yes—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—41no—
780C4×D73—41no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—41no—
797Dic146—42no—
798Dic146—42no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73#57512yes—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—22no—
821C2×D73—21no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—41no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—22no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—22no—
861C2×C73—41no—
862C2×C73—81no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—41no—
867D73—42no—
868D73—81no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346D7311yescharacteristic, complemented
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554C2×D7311yescharacteristic
914#553—731no—
915#553—731no—
916#553—731no—
917#553—1461no—
918#553—1461no—
919#553—1461no—
920#553C2×D7311yescharacteristic
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501C2×D7311yescharacteristic, complemented
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485C2×D7311yescharacteristic, complemented
965#484C2×D7311yescharacteristic, complemented
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481C2×D7311yescharacteristic, complemented
974#480C2×D7311yescharacteristic, complemented
975#479—731no—
976#479—731no—
977#479—731no—
978#479C2×D7311yescharacteristic, complemented
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474C2×D7311yescharacteristic, complemented
987#470—731no—
988#469—731no—
989#468—731no—
990#468C2×D7311yescharacteristic, complemented
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465C2×D7311yescharacteristic, complemented
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435C2×D7311yescharacteristic
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428C2×D7311yescharacteristic, complemented
1063#427—731no—
1064C2×#107C2×D7311yescharacteristic, complemented
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41—1461no—
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—1464no—
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×M16—731no—
1106C2×M16C22×D7311yescharacteristic
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8C22×D7311yescharacteristic
1111C4⋊Q8—731no—
1112C4⋊Q8—1461no—
1113C4⋊Q8C22×D7311yescharacteristic
1114#127—731no—
1115#127—731no—
1116#127—1461no—
1117#126—21no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—21no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124—1461no—
1145#123—21no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8C22×D7311yescharacteristic
1169C22⋊Q8C22×D7311yescharacteristic
1170#121—21no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—1461no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121C22×D7311yescharacteristic
1190#121C22×D7311yescharacteristic
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117C22×D7311yescharacteristic
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4C22×D7311yescharacteristic
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C4⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282#107—731no—
1283#107—731no—
1284#107C22×D7311yescharacteristic
1285#107C22×D7311yescharacteristic
1286#107C22×D7311yescharacteristic
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8C22×D7311yescharacteristic
1341C22⋊C8C22×D7311yescharacteristic
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8—731no—
1352C24—1461no—
1353C24—1461no—
1354#41—2921no—
1355#41—2921no—
1356#41—2922no—
1357#41—2924no—
1358#41—2921no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—21no—
1364C2×Q8—2921no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—1462no—
1369C2×Q8—1461no—
1370C2×Q8—1461no—
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—2921no—
1375C2×D4—2921no—
1376C2×D4—2924no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1461no—
1384C2×D4—1462no—
1385C2×D4—1462no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4D4×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—5842no—
1407C22×C4—5842no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—2921no—
1433Q16—1462no—
1434SD16—22no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—734no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—2921no—
1443D8—2921no—
1444D8—2921no—
1445D8—1462no—
1446D8—1462no—
1447D8—1462no—
1448M16—22no—
1449M16—2921no—
1450C2×C8—22no—
1451C2×C8—2921no—
1452C2×C8—2921no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4D4×D7311yescharacteristic
1495C4⋊C4C23×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4D4×D7311yescharacteristic
1541C22⋊C4D4×D7311yescharacteristic
1542C42—21no—
1543C42—21no—
1544C42—731no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—2922no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—5841no—
1569C23—5841no—
1570C23—731no—
1571C23—1461no—
1572C23—1461no—
1573C23—1461no—
1574C23—1461no—
1575C23C2×D4×D7311yescharacteristic
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—81no—
1580Q8—2922no—
1581Q8—2921no—
1582Q8—2922no—
1583Q8—732no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587D4—22no—
1588D4—21no—
1589D4—21no—
1590D4—42no—
1591D4—81no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2921no—
1601D4—2922no—
1602D4—2922no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—732no—
1609D4—1462no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2921no—
1644C2×C4—2921no—
1645C2×C4—2921no—
1646C2×C4—2922no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1462no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8#41×D7312yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—5844no—
1699C22—5844no—
1700C22—1461no—
1701C22—1462no—
1702C22—1461no—
1703C22—1461no—
1704C22#1798938612yes—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—1461no—
1721C4—1461no—
1722C4—1461no—
1723C4—1461no—
1724C4—1462no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942411yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—81no—
1733C2—2922no—
1734C2—2921no—
1735C2—5841no—
1736C2—5841no—
1737C2—5841no—
1738C2#2262341811yescharacteristic
1739C2C2×#1798938611yescharacteristic
1740C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3346C2
socleC22×C73C23×D4
hypercenter#3346D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #22623542C2semidirect
2. #22623525C2semidirect
3. #22623020C2semidirect
4. #22622875C2semidirect
5. #22622702C2semidirect
6. #22622691C2semidirect
7. #22622477C2semidirect
8. #22622329C2semidirect
9. #22622066C2semidirect
10. #22622036C2semidirect
11. #22621970C2semidirect
12. #22621940C2semidirect
13. #22621831C2semidirect
14. #22621779C2semidirect
15. #22621635C2semidirect
16. #22621478C2semidirect
17. #22621431C2semidirect
18. #22620653C2semidirect
19. #22620631C2semidirect
20. #22620622C2semidirect
21. #22620105C2semidirect
22. #22620084C2semidirect
23. #22620066C2semidirect
24. #22620047C2semidirect
25. #22620043C2semidirect
26. #22620019C2semidirect
27. #22618941C2semidirect
28. #22618738C2semidirect
29. #22618726C2semidirect
30. C2×#17988686C2semidirect
31. C73×#3346C2semidirect
37. #17989320C22semidirect
38. #17989314C22semidirect
39. #17989305C22semidirect
46. #17989285C22semidirect
50. #17989255C22semidirect
52. #17989243C22semidirect
59. #17989132C22semidirect
63. #17989122C22semidirect
65. #17989118C22semidirect
70. #17989055C22semidirect
73. C4×#11924027C22semidirect
74. C2×#14556556C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
81. #17988973C22semidirect
82. #17988968C22semidirect
84. #17988950C22semidirect
85. #17988949C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988940C22semidirect
89. #17988931C22semidirect
90. #17988917C22semidirect
91. #17988914C22semidirect
92. #17988914C22semidirect
93. #17988914C22semidirect
96. #17988905C22semidirect
97. #17988897C22semidirect
98. #17988893C22semidirect
99. #17988893C22semidirect
101. #17988890C22semidirect
102. #17988890C22semidirect
105. #17988876C22semidirect
106. #17988869C22semidirect
107. #17988843C22semidirect
110. #17988824C22semidirect
111. #17988824C22semidirect
114. #17988818C22semidirect
115. #17988817C22semidirect
116. #17988817C22semidirect
117. #17988812C22semidirect
118. #17988812C22semidirect
119. #17988812C22semidirect
120. #17988809C22semidirect
121. #17988805C22semidirect
124. #17988801C22semidirect
128. #17988781C22semidirect
130. #17988747C22semidirect
131. #17988742C22semidirect
135. #17988733C22semidirect
136. #17988733C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
144. #17988698C22semidirect
145. #17988698C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988692C22semidirect
151. #17988691C22semidirect
152. #17988691C22semidirect
153. #17988690C22semidirect
155. #17988688C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
163. #17988686C22semidirect
164. #17988686C22semidirect
165. #17988686C22semidirect
167. #17988674C22semidirect
169. #17988669C22semidirect
170. #17988661C22semidirect
172. #17988656C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988624C22semidirect
180. #17988586C22semidirect
182. #17988580C22semidirect
183. C2×#14556514C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #481×C73C22semidirect
194. #480×C73C22semidirect
195. #479×C73C22semidirect
196. #474×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#107×C73C22semidirect
556. #11924017#41semidirect
878. #3346D73semidirect
902. C73#61456semidirect
952. #501C2×D73semidirect
964. #485C2×D73semidirect
965. #484C2×D73semidirect
973. #481C2×D73semidirect
974. #480C2×D73semidirect
978. #479C2×D73semidirect
986. #474C2×D73semidirect
990. #468C2×D73semidirect
998. #465C2×D73semidirect
1048. #440C2×D73semidirect
1062. #428C2×D73semidirect
1064. C2×#107C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235422
#226235252
#226230202
#226228752
#226227022
#226226912
#226224772
#226223292
#226220662
#226220362
#226219702
#226219402
#226218312
#226217792
#226216352
#226214782
#226214312
#226206532
#226206312
#226206222
#226201052
#226200842
#226200662
#226200472
#226200432
#226200192
#226189412
#226187382
#226187262
C2×#179886862
C73×#33462
#6145673