Finite Group Databasebeta

← #33978951

Subgroups — #33978951

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623895C211yesmaximal, characteristic, complemented
2#22623492C211yesmaximal, characteristic, complemented
3#22622997C211yesmaximal, characteristic, complemented
4#22622752C211yesmaximal, characteristic, complemented
5#22622686C211yesmaximal, characteristic, complemented
6#22622122C211yesmaximal, characteristic, complemented
7#22622094C211yesmaximal, characteristic, complemented
8#22621989C211yesmaximal, characteristic, complemented
9#22621957C211yesmaximal, characteristic, complemented
10#22621823C211yesmaximal, characteristic, complemented
11#22621773C211yesmaximal, characteristic, complemented
12#22621633C211yesmaximal, characteristic, complemented
13#22621615C211yesmaximal, characteristic, complemented
14#22621481C211yesmaximal, characteristic, complemented
15#22621455C211yesmaximal, characteristic, complemented
16#22621440C211yesmaximal, characteristic, complemented
17#22621417C211yesmaximal, characteristic, complemented
18#22621330C211yesmaximal, characteristic, complemented
19#22621280C211yesmaximal, characteristic, complemented
20#22621266C211yesmaximal, characteristic, complemented
21#22620965C211yesmaximal, characteristic, complemented
22#22620929C211yesmaximal, characteristic, complemented
23#22620891C211yesmaximal, characteristic, complemented
24#22620073C211yesmaximal, characteristic, complemented
25#22620038C211yesmaximal, characteristic, complemented
26#22619955C211yesmaximal, characteristic, complemented
27#22619422C211yesmaximal, characteristic, complemented
28#22619389C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619055C211yesmaximal, characteristic, complemented
31C73×#3402C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556614C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989302C2211yescharacteristic, complemented
40#17989300—21no—
41#17989297C2211yescharacteristic, complemented
42#17989281—21no—
43#17989278C2211yescharacteristic
44#17989278C2211yescharacteristic, complemented
45#17989271—21no—
46#17989262—21no—
47#17989262—21no—
48#17989262—21no—
49#17989262—21no—
50#17989252C2211yescharacteristic
51#17989249C2211yescharacteristic
52#17989249C2211yescharacteristic, complemented
53#17989240C2211yescharacteristic, complemented
54#17989230C2211yescharacteristic
55#17989230C2211yescharacteristic
56#17989230C2211yescharacteristic, complemented
57#17989230C2211yescharacteristic, complemented
58#17989228—21no—
59D4×D292C2211yescharacteristic
60#17989210—21no—
61#17989176—21no—
62#17989176—21no—
63#17989142C2211yescharacteristic, complemented
64#17989138C2211yescharacteristic, complemented
65#17989124C2211yescharacteristic
66#17989124C2211yescharacteristic, complemented
67#17989120—21no—
68#17989120—21no—
69#17989119C2211yescharacteristic, complemented
70#17989116C2211yescharacteristic, complemented
71#17989116C2211yescharacteristic, complemented
72#124×D73C2211yescharacteristic
73#124×D73C2211yescharacteristic, complemented
74#17989100—21no—
75#17989061—21no—
76C4×#11924029C2211yescharacteristic
77C4×#11924029C2211yescharacteristic, complemented
78C4×#11924029C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic, complemented
80#117×D73—21no—
81#17988979C2211yescharacteristic, complemented
82#17988977C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988955C2211yescharacteristic, complemented
85#17988952C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988942C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic
96#17988896C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988894C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988872C2211yescharacteristic, complemented
105#17988868C2211yescharacteristic, complemented
106#17988842C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic
108#17988836C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988825C2211yescharacteristic, complemented
112#17988825C2211yescharacteristic, complemented
113#17988820C2211yescharacteristic
114#17988819C2211yescharacteristic
115#17988819C2211yescharacteristic
116#17988815C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988806C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic, complemented
127#17988805C2211yescharacteristic, complemented
128#17988804C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic, complemented
130#17988803C2211yescharacteristic, complemented
131#17988803C2211yescharacteristic, complemented
132#17988802C2211yescharacteristic, complemented
133#17988801C2211yescharacteristic
134#17988800C2211yescharacteristic
135#17988799C2211yescharacteristic
136#17988799C2211yescharacteristic
137#17988799C2211yescharacteristic, complemented
138#17988789C2211yescharacteristic, complemented
139#17988789C2211yescharacteristic, complemented
140#17988787C2211yescharacteristic, complemented
141#17988783C2211yescharacteristic
142#17988752C2211yescharacteristic, complemented
143#17988748C2211yescharacteristic, complemented
144#17988748C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic, complemented
148#17988741C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988736C2211yescharacteristic, complemented
152#17988736C2211yescharacteristic, complemented
153#17988735C2211yescharacteristic
154#17988731C2211yescharacteristic
155#17988731C2211yescharacteristic, complemented
156#17988731C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic
159#17988719C2211yescharacteristic
160#17988718C2211yescharacteristic, complemented
161#17988700C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic
163#17988697C2211yescharacteristic, complemented
164#17988692C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167C4×#11924015C2211yescharacteristic, complemented
168C4×#11924015C2211yescharacteristic, complemented
169C4×D584C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic
173#17988657C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988652C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C4⋊C8×D73C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988582C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188#556×C73C2211yescharacteristic, complemented
189#556×C73C2211yescharacteristic, complemented
190#497×C73C2211yescharacteristic, complemented
191#497×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic
193#464×C73C2211yescharacteristic, complemented
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, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×Q16×C73C2211yescharacteristic, complemented
203C2×#11924029D411yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556623—42no—
216#14556618—42no—
217#14556614—42no—
218#14556614—42no—
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229SD16×D73—42no—
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235D8×D73—42no—
236C2×#11924011C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242#14556591C2311yescharacteristic
243#14556590—21no—
244#14556588C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556585—21no—
248#14556585—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556583C2311yescharacteristic
253#14556583C2311yescharacteristic
254#14556582—21no—
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579—21no—
263#14556579C2311yescharacteristic
264#14556579C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571—21no—
290#14556571C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556567—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556566—21no—
303#14556566—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324Q8×Dic73D411yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329C4×D292—21no—
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553—21no—
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553D411yescharacteristic
351#14556553D411yescharacteristic
352#14556553D411yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556550—21no—
360#14556550—21no—
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556549D411yescharacteristic
365#14556549D411yescharacteristic
366#14556549D411yescharacteristic
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556547—21no—
374#14556547—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C42×D73—21no—
388C42×D73—21no—
389C42×D73C2311yescharacteristic
390C42×D73C2311yescharacteristic
391C42×D73C2311yescharacteristic
392#14556525C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
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#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
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—
486C23×D73—21no—
487#11924029—22no—
488#11924029—22no—
489#11924029—42no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924029—41no—
494#11924029—41no—
495#11924029—41no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2411yescharacteristic
500Q8×D73—41no—
501Q8×D73—41no—
502Q8×D73—41no—
503Q8×D73—41no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—44no—
513C2×D292C2×D411yescharacteristic
514C2×D292C2×D411yescharacteristic
515C2×D292C2×D411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525D4×D73—22no—
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—41no—
531C22×Dic73—21no—
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—21no—
545C2×C4×D73—44no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555#11924018—41no—
556#11924018—41no—
557#11924017—22no—
558#11924016—41no—
559#11924015—22no—
560#11924015—22no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564#11924015—41no—
565D584—22no—
566D584—22no—
567#11924013—22no—
568#11924013—41no—
569#11924013—41no—
570#11924011—41no—
571#11924011—41no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C8×D73—41no—
577C8×D73—41no—
578C8×D73—41no—
579C8×D73—41no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
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—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—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#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
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—21no—
711C22×D73—42no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73C22×D411yescharacteristic
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730Q8×C73—21no—
731Q8×C73—41no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—42no—
743C2×C4×C73—42no—
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C2511yescharacteristic
751C22⋊D73—42no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—42no—
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768D292—22no—
769D292—22no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—41no—
776D292—42no—
777D292—42no—
778D292—42no—
779D292—42no—
780D292—42no—
781D292—81no—
782D292—81no—
783D292—81no—
784D292H(5,𝔽2)12yes—
785C4×D73—22no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—41no—
793C4×D73—41no—
794C4×D73—41no—
795C4×D73—41no—
796C4×D73—41no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810Dic146—21no—
811Dic146—21no—
812Dic146—81no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73C23×D411yescharacteristic
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—22no—
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—84no—
848C2×D73—162no—
849C2×D73—162no—
850C2×D73#57512yes—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73C2×H(5,𝔽2)11yescharacteristic
864C4×C73#58511yescharacteristic
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—81no—
877C2×C73—81no—
878C2×C73#348811yescharacteristic
879C2×C73C2×#57511yescharacteristic
880C2×C73#358411yescharacteristic
881D73—22no—
882D73—41no—
883D73—41no—
884D73—42no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402D7311yescharacteristic, complemented
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559—731no—
926#556C2×D7311yescharacteristic, complemented
927#556C2×D7311yescharacteristic, complemented
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—731no—
947#546—1461no—
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497C2×D7311yescharacteristic, complemented
972#497C2×D7311yescharacteristic, complemented
973#496—731no—
974#495—731no—
975#495C2×D7311yescharacteristic
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464C2×D7311yescharacteristic, complemented
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463C2×D7311yescharacteristic
1033#463C2×D7311yescharacteristic
1034#462C2×D7311yescharacteristic, complemented
1035#462C2×D7311yescharacteristic, complemented
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446C2×D7311yescharacteristic, complemented
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440C2×D7311yescharacteristic, complemented
1067#440C2×D7311yescharacteristic, complemented
1068C4×Q16C2×D7311yescharacteristic, complemented
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—731no—
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101C23×C4—1461no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16C22×D7311yescharacteristic
1109C2×Q16C22×D7311yescharacteristic
1110C2×Q16C22×D7311yescharacteristic
1111C2×Q16C22×D7311yescharacteristic
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—1461no—
1140C4⋊Q8C22×D7311yescharacteristic
1141C4⋊Q8C22×D7311yescharacteristic
1142#127—731no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125—1461no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124C22×D7311yescharacteristic
1175#124C22×D7311yescharacteristic
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—731no—
1200C22⋊Q8—731no—
1201C22⋊Q8—731no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
1214#121—731no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
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—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
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×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—21no—
1275#117—21no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—731no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42—1461no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107C22×D7311yescharacteristic
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8—731no—
1365#97—731no—
1366#97—731no—
1367#97C22×D7311yescharacteristic
1368#97C22×D7311yescharacteristic
1369C4×C8—731no—
1370C4×C8C22×D7311yescharacteristic
1371C24—1461no—
1372C24—1461no—
1373C24—1461no—
1374#41—2921no—
1375#41—2921no—
1376#41—2922no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—2921no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—731no—
1388C2×Q8—1461no—
1389C2×Q8—1461no—
1390C2×Q8—1461no—
1391C2×Q8D4×D7311yescharacteristic
1392C2×Q8C23×D7311yescharacteristic
1393C2×Q8C23×D7311yescharacteristic
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—2924no—
1397C2×D4—2921no—
1398C2×D4—2921no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—2921no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1462no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—2924no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
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—
1451Q16—41no—
1452Q16—41no—
1453Q16—41no—
1454Q16—41no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469D8—41no—
1470D8—2921no—
1471D8—2921no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—2921no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
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⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4D4×D7311yescharacteristic
1523C4⋊C4D4×D7311yescharacteristic
1524C4⋊C4D4×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—731no—
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—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—2922no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—5841no—
1600C23—5841no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—731no—
1605C23—731no—
1606C23—731no—
1607C23—1461no—
1608C23—1461no—
1609C23—1461no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—41no—
1619Q8—5841no—
1620Q8—5841no—
1621Q8—5841no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—2922no—
1629D4—2921no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—732no—
1644D4—1462no—
1645D4—1462no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—2922no—
1660C2×C4—2921no—
1661C2×C4—2921no—
1662C2×C4—2921no—
1663C2×C4—2921no—
1664C2×C4—2921no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—731no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—1462no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—5844no—
1725C22—732no—
1726C22—11682no—
1727C22—11682no—
1728C22—1462no—
1729C22—1461no—
1730C22—1461no—
1731C22—1461no—
1732C22—1461no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22—1461no—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—2921no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4H(5,𝔽2)×D7311yescharacteristic
1761C4#1798942311yescharacteristic
1762C2—81no—
1763C2—81no—
1764C2—2922no—
1765C2—2921no—
1766C2—2921no—
1767C2—5841no—
1768C2—5841no—
1769C2—1462no—
1770C2#2262359911yescharacteristic
1771C2#575×D7311yescharacteristic
1772C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3402C2
socleC22×C73C23×D4
hypercenter#3402D73
hypocenterC73#61990
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. #22623492C2semidirect
3. #22622997C2semidirect
4. #22622752C2semidirect
5. #22622686C2semidirect
6. #22622122C2semidirect
7. #22622094C2semidirect
8. #22621989C2semidirect
9. #22621957C2semidirect
10. #22621823C2semidirect
11. #22621773C2semidirect
12. #22621633C2semidirect
13. #22621615C2semidirect
14. #22621481C2semidirect
15. #22621455C2semidirect
16. #22621440C2semidirect
17. #22621417C2semidirect
18. #22621330C2semidirect
19. #22621280C2semidirect
20. #22621266C2semidirect
21. #22620965C2semidirect
22. #22620929C2semidirect
23. #22620891C2semidirect
24. #22620073C2semidirect
25. #22620038C2semidirect
26. #22619955C2semidirect
27. #22619422C2semidirect
28. #22619389C2semidirect
29. #463×D73C2semidirect
30. #22619055C2semidirect
31. C73×#3402C2semidirect
32. C2×#14556623C22semidirect
34. C2×#14556614C22semidirect
35. C2×#14556614C22semidirect
36. C2×SD16×D73C22semidirect
38. #17989322C22semidirect
39. #17989302C22semidirect
41. #17989297C22semidirect
44. #17989278C22semidirect
52. #17989249C22semidirect
53. #17989240C22semidirect
56. #17989230C22semidirect
57. #17989230C22semidirect
63. #17989142C22semidirect
64. #17989138C22semidirect
66. #17989124C22semidirect
69. #17989119C22semidirect
70. #17989116C22semidirect
71. #17989116C22semidirect
73. #124×D73C22semidirect
77. C4×#11924029C22semidirect
78. C4×#11924029C22semidirect
79. C4×D4×D73C22semidirect
81. #17988979C22semidirect
83. #17988969C22semidirect
84. #17988955C22semidirect
85. #17988952C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988942C22semidirect
89. #17988941C22semidirect
90. #17988930C22semidirect
91. #17988927C22semidirect
92. #17988916C22semidirect
93. #17988914C22semidirect
94. #17988909C22semidirect
96. #17988896C22semidirect
97. #17988896C22semidirect
98. #17988895C22semidirect
99. #17988894C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
102. #17988888C22semidirect
103. #17988887C22semidirect
104. #17988872C22semidirect
105. #17988868C22semidirect
106. #17988842C22semidirect
108. #17988836C22semidirect
109. #17988830C22semidirect
110. #17988827C22semidirect
111. #17988825C22semidirect
112. #17988825C22semidirect
116. #17988815C22semidirect
117. #17988813C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
120. #17988811C22semidirect
121. #17988811C22semidirect
122. #17988809C22semidirect
123. #17988807C22semidirect
124. #17988807C22semidirect
125. #17988806C22semidirect
126. #17988805C22semidirect
127. #17988805C22semidirect
128. #17988804C22semidirect
129. #17988804C22semidirect
130. #17988803C22semidirect
131. #17988803C22semidirect
132. #17988802C22semidirect
137. #17988799C22semidirect
138. #17988789C22semidirect
139. #17988789C22semidirect
140. #17988787C22semidirect
142. #17988752C22semidirect
143. #17988748C22semidirect
144. #17988748C22semidirect
145. #17988748C22semidirect
146. #17988741C22semidirect
147. #17988741C22semidirect
148. #17988741C22semidirect
151. #17988736C22semidirect
152. #17988736C22semidirect
155. #17988731C22semidirect
156. #17988731C22semidirect
157. #17988724C22semidirect
160. #17988718C22semidirect
161. #17988700C22semidirect
163. #17988697C22semidirect
164. #17988692C22semidirect
165. #17988689C22semidirect
166. #17988685C22semidirect
167. C4×#11924015C22semidirect
168. C4×#11924015C22semidirect
169. C4×D584C22semidirect
171. #17988660C22semidirect
173. #17988657C22semidirect
174. C8×D292C22semidirect
175. #17988652C22semidirect
176. #17988642C22semidirect
177. #17988642C22semidirect
178. #17988638C22semidirect
179. #17988609C22semidirect
180. C4⋊C8×D73C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
183. #17988590C22semidirect
184. #17988582C22semidirect
185. #17988582C22semidirect
186. #103×D73C22semidirect
188. #556×C73C22semidirect
189. #556×C73C22semidirect
190. #497×C73C22semidirect
191. #497×C73C22semidirect
193. #464×C73C22semidirect
194. #464×C73C22semidirect
197. #462×C73C22semidirect
198. #462×C73C22semidirect
199. #446×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C4×Q16×C73C22semidirect
889. #3402D73semidirect
918. C73#61990semidirect
926. #556C2×D73semidirect
927. #556C2×D73semidirect
971. #497C2×D73semidirect
972. #497C2×D73semidirect
1018. #464C2×D73semidirect
1019. #464C2×D73semidirect
1034. #462C2×D73semidirect
1035. #462C2×D73semidirect
1059. #446C2×D73semidirect
1066. #440C2×D73semidirect
1067. #440C2×D73semidirect
1068. C4×Q16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238952
#226234922
#226229972
#226227522
#226226862
#226221222
#226220942
#226219892
#226219572
#226218232
#226217732
#226216332
#226216152
#226214812
#226214552
#226214402
#226214172
#226213302
#226212802
#226212662
#226209652
#226209292
#226208912
#226200732
#226200382
#226199552
#226194222
#226193892
#463×D732
#226190552
C73×#34022
#6199073