Finite Group Databasebeta

← #33979058

Subgroups — #33979058

Order 18688.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623538C211yesmaximal, characteristic, complemented
3#22622943C211yesmaximal, characteristic, complemented
4#22622938C211yesmaximal, characteristic, complemented
5#22622594C211yesmaximal, characteristic, complemented
6#22622588C211yesmaximal, characteristic, complemented
7#22622267C211yesmaximal, characteristic, complemented
8#22622265C211yesmaximal, characteristic, complemented
9#22622130C211yesmaximal, characteristic, complemented
10#22622128C211yesmaximal, characteristic, complemented
11#22622126C211yesmaximal, characteristic, complemented
12#22621548C211yesmaximal, characteristic, complemented
13#22621544C211yesmaximal, characteristic, complemented
14#22621543C211yesmaximal, characteristic, complemented
15#22621542C211yesmaximal, characteristic, complemented
16#22621539C211yesmaximal, characteristic, complemented
17#22621538C211yesmaximal, characteristic, complemented
18#22621313C211yesmaximal, characteristic, complemented
19#22621292C211yesmaximal, characteristic, complemented
20#22621286C211yesmaximal, characteristic, complemented
21#22620908C211yesmaximal, characteristic, complemented
22#22620904C211yesmaximal, characteristic, complemented
23#22620847C211yesmaximal, characteristic, complemented
24#22619997C211yesmaximal, characteristic, complemented
25#22619929C211yesmaximal, characteristic, complemented
26#22619928C211yesmaximal, characteristic, complemented
27#22619410C211yesmaximal, characteristic, complemented
28#22619394C211yesmaximal, characteristic, complemented
29#22619393C211yesmaximal, characteristic, complemented
30#22619059C211yesmaximal, characteristic, complemented
31C73×#3322C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556619C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556617C2211yescharacteristic
36C2×#14556616C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38#17989321—21no—
39#17989320C2211yescharacteristic, complemented
40#17989320C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989293C2211yescharacteristic, complemented
43#17989292C2211yescharacteristic, complemented
44#17989282—21no—
45#17989281C2211yescharacteristic
46#17989266—21no—
47#17989262—21no—
48#17989256C2211yescharacteristic
49#17989255—21no—
50#17989255C2211yescharacteristic
51#17989234C2211yescharacteristic
52#17989233C2211yescharacteristic
53#17989233C2211yescharacteristic, complemented
54#17989231C2211yescharacteristic, complemented
55#17989228C2211yescharacteristic, complemented
56#17989227—21no—
57#17989226—21no—
58#17989224—21no—
59#17989221C2211yescharacteristic, complemented
60#17989189—21no—
61#17989187—21no—
62#17989152—21no—
63#17989139C2211yescharacteristic, complemented
64#17989136C2211yescharacteristic, complemented
65#17989134C2211yescharacteristic, complemented
66#17989133C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989132C2211yescharacteristic, complemented
69C2×#14556587C2211yescharacteristic, complemented
70#17989122C2211yescharacteristic, complemented
71#17989120—21no—
72#17989118C2211yescharacteristic, complemented
73#17989097—21no—
74#17989095—21no—
75#17989060—21no—
76#17989055C2211yescharacteristic
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic, complemented
79C4×D4×D73—21no—
80C4×D4×D73C2211yescharacteristic, complemented
81#17988971C2211yescharacteristic, complemented
82#17988970C2211yescharacteristic, complemented
83#17988969C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic
86#17988962C2211yescharacteristic
87#17988944C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988902C2211yescharacteristic, complemented
94#17988900C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988886C2211yescharacteristic, complemented
97#17988885C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988831C2211yescharacteristic, complemented
115#17988805C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988796C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988786C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic, complemented
133#17988786C2211yescharacteristic, complemented
134#17988786C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic
137#17988781C2211yescharacteristic
138#17988781C2211yescharacteristic
139#17988781C2211yescharacteristic
140#17988781C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988752C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic
146#17988751C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988749C2211yescharacteristic, complemented
149#17988747C2211yescharacteristic
150#17988735C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988723C2211yescharacteristic, complemented
154#17988723C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160C8×Dic146C2211yescharacteristic, complemented
161#17988711C2211yescharacteristic, complemented
162#17988681C2211yescharacteristic, complemented
163#17988679C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166C4×D584C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170C4×#11924013C2211yescharacteristic, complemented
171#17988667C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988665C2211yescharacteristic, complemented
174#17988663C2211yescharacteristic, complemented
175#17988663C2211yescharacteristic, complemented
176#17988662C2211yescharacteristic, complemented
177#17988662C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988637C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182#17988610C2211yescharacteristic, complemented
183#17988609C2211yescharacteristic, complemented
184#17988591C2211yescharacteristic, complemented
185#17988587C2211yescharacteristic, complemented
186#17988586C2211yescharacteristic, complemented
187#17988585C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027D411yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×C22⋊D73—21no—
214C22×C22⋊D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218C22×C4×D73—21no—
219#14556619—42no—
220#14556619—42no—
221#14556618—42no—
222#14556617—42no—
223#14556616—42no—
224#14556615—42no—
225C2×Dic292C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924012C2311yescharacteristic
247C2×#11924012C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556590C2311yescharacteristic
252#14556589C2311yescharacteristic
253#14556587—21no—
254#14556587—21no—
255#14556587—21no—
256#14556587—21no—
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556587C2311yescharacteristic
261#14556587C2311yescharacteristic
262#14556586—21no—
263#14556585—21no—
264#14556584—21no—
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556581—21no—
268#14556580C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556579C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556575—21no—
284#14556574—21no—
285#14556574—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556572—21no—
292#14556572—21no—
293#14556571—21no—
294#14556571C2311yescharacteristic
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556568—21no—
302#14556566—21no—
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556562—21no—
323#14556562—21no—
324#14556562C2311yescharacteristic
325#14556561—21no—
326#14556561—21no—
327#14556560—21no—
328#14556559—21no—
329#14556559—21no—
330#14556559—21no—
331#14556559—21no—
332Q8×Dic73C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334#14556556—21no—
335#14556556D411yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339C4×D292—21no—
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73—21no—
343D4×Dic73D411yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73C2311yescharacteristic
364C4×C22⋊D73C2311yescharacteristic
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551D411yescharacteristic
375#14556551D411yescharacteristic
376#14556549—21no—
377#14556549D411yescharacteristic
378#14556548—21no—
379#14556547—21no—
380#14556547—21no—
381#14556547D411yescharacteristic
382#14556547D411yescharacteristic
383C4⋊C4×D73—21no—
384C4⋊C4×D73C2311yescharacteristic
385C2×C22⋊Dic73—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C2×C4×Dic73C2311yescharacteristic
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C2×M16×C73C2311yescharacteristic
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73—21no—
456#121×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—41no—
488#11924029—41no—
489#11924028—22no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924028—82no—
494#11924027—41no—
495#11924027—41no—
496#11924027—42no—
497#11924027—82no—
498#11924027—82no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×D292—22no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—44no—
535C2×C22⋊D73—82no—
536C2×C22⋊D73C2×D411yescharacteristic
537C2×C22⋊D73C2×D411yescharacteristic
538D4×D73—22no—
539D4×D73—41no—
540D4×D73—44no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73C2×D411yescharacteristic
545C22×Dic73C2×D411yescharacteristic
546C22×Dic73C2×D411yescharacteristic
547C22×Dic73C2×D411yescharacteristic
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—82no—
561C2×C4×D73—82no—
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565Dic292—41no—
566#11924018—41no—
567#11924017—22no—
568#11924017—41no—
569#11924017—41no—
570#11924017—41no—
571#11924016—41no—
572#11924016—41no—
573#11924016—41no—
574#11924015—22no—
575#11924015—41no—
576D584—22no—
577D584—22no—
578D584—41no—
579D584—41no—
580#11924013—22no—
581#11924013—22no—
582#11924013—41no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924012—41no—
587#11924012—41no—
588#11924011—41no—
589#11924011—41no—
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C2×#10596831C2411yescharacteristic
593C2×#10596831C2411yescharacteristic
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73C2×D411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614#11924007C2×D411yescharacteristic
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73C2×D411yescharacteristic
625C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2×D411yescharacteristic
657C4×Dic73C2411yescharacteristic
658C4×Dic73C2411yescharacteristic
659C4×Dic73C2411yescharacteristic
660C24×C73—21no—
661#41×C73—41no—
662#41×C73—41no—
663C2×Q8×C73C2411yescharacteristic
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73—21no—
668C2×D4×C73—21no—
669C2×D4×C73—41no—
670C2×D4×C73—41no—
671C2×D4×C73C2×D411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C2×D4×C73C2411yescharacteristic
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73C2411yescharacteristic
680C22×C4×C73C2411yescharacteristic
681SD16×C73—41no—
682D8×C73—41no—
683D8×C73—41no—
684M16×C73—41no—
685M16×C73—41no—
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73C2×D411yescharacteristic
709C22⋊C4×C73C2×D411yescharacteristic
710C42×C73—21no—
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—42no—
716C23×C73—81no—
717C23×C73—81no—
718C23×C73C22×D411yescharacteristic
719C23×C73C22×D411yescharacteristic
720C22×D73—21no—
721C22×D73—21no—
722C22×D73—21no—
723C22×D73—21no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—42no—
727C22×D73—42no—
728C22×D73—42no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73C22×D411yescharacteristic
734Q8×C73—21no—
735Q8×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—41no—
743D4×C73—42no—
744D4×C73—81no—
745D4×C73—81no—
746D4×C73—81no—
747D4×C73—81no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73—81no—
760C2×C4×C73—81no—
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C2511yescharacteristic
766C22⋊D73—22no—
767C22⋊D73—41no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C2×Dic73—22no—
786C2×Dic73—22no—
787C2×Dic73—22no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—41no—
793C2×Dic73—42no—
794C2×Dic73—81no—
795C2×Dic73—81no—
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803D292—21no—
804D292—21no—
805D292—21no—
806D292—21no—
807D292—21no—
808D292—21no—
809D292—21no—
810D292—42no—
811D292—42no—
812D292—81no—
813D292—81no—
814D292—81no—
815D292H(5,𝔽2)12yes—
816C4×D73—21no—
817C4×D73—21no—
818C4×D73—22no—
819C4×D73—41no—
820C4×D73—42no—
821C4×D73—42no—
822C4×D73—42no—
823C4×D73—42no—
824C4×D73—81no—
825C4×D73—81no—
826C4×D73—81no—
827C4×D73—81no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832Dic146—22no—
833Dic146—21no—
834Dic146—21no—
835Dic146—21no—
836Dic146—21no—
837Dic146—42no—
838Dic146—81no—
839C8×C73—21no—
840C8×C73—21no—
841C8×C73—21no—
842C8×C73—21no—
843#10596831—21no—
844#10596831—21no—
845#10596831—21no—
846#10596831—21no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—21no—
850C22×C73—21no—
851C22×C73—21no—
852C22×C73—21no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—162no—
863C22×C73C23×D411yescharacteristic
864C2×D73—21no—
865C2×D73—22no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—84no—
880C2×D73—84no—
881C2×D73—162no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73C2×H(5,𝔽2)11yescharacteristic
892C4×C73#58511yescharacteristic
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—21no—
897Dic73—21no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73#57512yes—
903Dic73#57612yes—
904#61995—731nomaximal, Sylow
905C2×C73—41no—
906C2×C73—41no—
907C2×C73—81no—
908C2×C73—81no—
909C2×C73—81no—
910C2×C73#348811yescharacteristic
911C2×C73C2×#57511yescharacteristic
912C2×C73C2×#57611yescharacteristic
913D73—41no—
914D73—42no—
915D73—81no—
916D73—81no—
917D73—81no—
918#3508—731no—
919#3481—731no—
920#3396—731no—
921#3396—731no—
922#3361—731no—
923#3361—731no—
924#3333—731no—
925#3333—731no—
926#3322—731no—
927#3322—731no—
928#3322—731no—
929#3322D7311yescharacteristic, complemented
930#3274—731no—
931#3274—731no—
932#3273—731no—
933#3273—731no—
934#3273—731no—
935#3273—731no—
936#3254—731no—
937#3251—731no—
938#3251—731no—
939#3212—731no—
940#3212—731no—
941#3205—731no—
942#3107—731no—
943#3100—731no—
944#3100—731no—
945#3038—731no—
946#3036—731no—
947#3036—731no—
948#2991—731no—
949C73#6199511yescharacteristic, complemented, Sylow
950C2×AGL(1,ℤ/8)—731no—
951C2×AGL(1,ℤ/8)—731no—
952C2×AGL(1,ℤ/8)—731no—
953C2×AGL(1,ℤ/8)—731no—
954C2×AGL(1,ℤ/8)—731no—
955C2×AGL(1,ℤ/8)—731no—
956#559—731no—
957#559—731no—
958#559—731no—
959#559—1461no—
960#554—731no—
961#554—731no—
962#553—731no—
963#553—1461no—
964#553C2×D7311yescharacteristic
965#551—1461no—
966#551—1461no—
967#550—731no—
968#550—731no—
969#550—1461no—
970#546—731no—
971#546—731no—
972#546—731no—
973#546—731no—
974#546—731no—
975#546—1461no—
976#546—1461no—
977#546—1461no—
978#546C2×D7311yescharacteristic, complemented
979D42—731no—
980#540—1461no—
981#540—1461no—
982#535—1461no—
983#533—731no—
984#532—731no—
985#532—731no—
986#532—731no—
987#532—731no—
988#532—731no—
989C2×#127—731no—
990#529—731no—
991#529—731no—
992#529—1461no—
993#525—1461no—
994#525—1461no—
995#518—1461no—
996C4×#41—731no—
997C4×#41—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C2×C4×D4—1461no—
1001#495—731no—
1002#495—731no—
1003#495—731no—
1004#495—731no—
1005#493—731no—
1006#493—731no—
1007#488—731no—
1008#488—731no—
1009#488—731no—
1010#488C2×D7311yescharacteristic, complemented
1011#486—731no—
1012#486—731no—
1013#485—731no—
1014#485C2×D7311yescharacteristic, complemented
1015#480—731no—
1016#480—731no—
1017#480—731no—
1018#480C2×D7311yescharacteristic, complemented
1019#478—731no—
1020#478—731no—
1021#478—731no—
1022#478C2×D7311yescharacteristic, complemented
1023#477—731no—
1024#477—731no—
1025#475—731no—
1026#474—731no—
1027#474—731no—
1028#474—731no—
1029#469—731no—
1030#469—731no—
1031#469—731no—
1032#469C2×D7311yescharacteristic, complemented
1033#468—731no—
1034#468—731no—
1035#468—731no—
1036#468—731no—
1037#468—731no—
1038#468—731no—
1039#468—731no—
1040#468C2×D7311yescharacteristic, complemented
1041#463—731no—
1042#463—731no—
1043#463—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463—731no—
1052#463C2×D7311yescharacteristic, complemented
1053#462—731no—
1054#461—731no—
1055#461—731no—
1056#461—731no—
1057#460—731no—
1058#460—731no—
1059#460—731no—
1060#460—731no—
1061#460—731no—
1062#460—731no—
1063#459—731no—
1064#459—731no—
1065#459—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#452—731no—
1072#452—731no—
1073#452—731no—
1074#452—731no—
1075#452—731no—
1076#452—731no—
1077#449—731no—
1078#449—731no—
1079#449—731no—
1080#449C2×D7311yescharacteristic, complemented
1081#447—731no—
1082#447—731no—
1083#447—731no—
1084#447—731no—
1085#447—731no—
1086#447—731no—
1087#447—731no—
1088#447C2×D7311yescharacteristic, complemented
1089C8×Q8—731no—
1090C8×Q8—731no—
1091C4×Q16—731no—
1092C4×Q16—731no—
1093C4×SD16—731no—
1094C4×SD16—731no—
1095C4×D8—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098C4×D8—731no—
1099C4×D8—731no—
1100C4×D8—731no—
1101C4×D8—731no—
1102C4×D8C2×D7311yescharacteristic, complemented
1103#436—731no—
1104#436—731no—
1105#436—731no—
1106#436—731no—
1107#436—731no—
1108#436C2×D7311yescharacteristic, complemented
1109#431—731no—
1110#431—731no—
1111#431—731no—
1112#423—731no—
1113#423—731no—
1114#423—731no—
1115#418—731no—
1116#418C2×D7311yescharacteristic, complemented
1117#417—731no—
1118#417—731no—
1119#417—731no—
1120#417C2×D7311yescharacteristic, complemented
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—731no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41C22×D7311yescharacteristic
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—1461no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4C22×D7311yescharacteristic
1137C23×C4—1461no—
1138C23×C4—1461no—
1139AGL(1,ℤ/8)—2922no—
1140AGL(1,ℤ/8)—2922no—
1141AGL(1,ℤ/8)—2922no—
1142AGL(1,ℤ/8)—2922no—
1143AGL(1,ℤ/8)—2922no—
1144AGL(1,ℤ/8)—2922no—
1145C2×Q16—731no—
1146C2×Q16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16—731no—
1152C2×SD16—731no—
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16C22×D7311yescharacteristic
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—731no—
1161C2×D8—731no—
1162C2×D8—731no—
1163C2×D8—731no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8C22×D7311yescharacteristic
1168C2×D8C22×D7311yescharacteristic
1169C2×M16—731no—
1170C2×M16—731no—
1171C2×M16—731no—
1172C2×M16—731no—
1173C2×M16C22×D7311yescharacteristic
1174C2×M16C22×D7311yescharacteristic
1175C4⋊Q8—731no—
1176C4⋊Q8—731no—
1177C4⋊Q8—731no—
1178#127—731no—
1179#127—731no—
1180#127—731no—
1181#127—731no—
1182#127—731no—
1183#127—1461no—
1184#127—1461no—
1185#127—1461no—
1186#127—1461no—
1187#126—21no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#125—731no—
1192#125—1461no—
1193#125—1461no—
1194#125C22×D7311yescharacteristic
1195#124—731no—
1196#124—731no—
1197#124—731no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#124—1461no—
1206#124C22×D7311yescharacteristic
1207#123—21no—
1208#123—21no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—731no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8C22×D7311yescharacteristic
1233#121—21no—
1234#121—21no—
1235#121—731no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121C22×D7311yescharacteristic
1259#121C22×D7311yescharacteristic
1260#121C22×D7311yescharacteristic
1261#120—21no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269C4×Q8—731no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—731no—
1274C4×Q8—731no—
1275C4×Q8—1461no—
1276C4×D4—21no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—731no—
1287C4×D4—731no—
1288C4×D4—731no—
1289C4×D4—731no—
1290C4×D4—731no—
1291C4×D4—731no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4—1461no—
1313C4×D4—1461no—
1314C4×D4C22×D7311yescharacteristic
1315C4×D4C22×D7311yescharacteristic
1316C4×D4C22×D7311yescharacteristic
1317#117—731no—
1318#117—731no—
1319#117—731no—
1320#117—1461no—
1321#117—1461no—
1322#117—1461no—
1323#117—1461no—
1324#117C22×D7311yescharacteristic
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—1461no—
1327C2×C4⋊C4C22×D7311yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—1461no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C22⋊C4—1461no—
1335C2×C22⋊C4—1461no—
1336C2×C42—731no—
1337C2×C42—731no—
1338C2×C42—731no—
1339C2×C42—1461no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107C22×D7311yescharacteristic
1345#107C22×D7311yescharacteristic
1346#106—731no—
1347#106C22×D7311yescharacteristic
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350C4⋊C8—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8—731no—
1356C4⋊C8—731no—
1357C4⋊C8C22×D7311yescharacteristic
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103C22×D7311yescharacteristic
1366#103C22×D7311yescharacteristic
1367#103C22×D7311yescharacteristic
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102C22×D7311yescharacteristic
1384#102C22×D7311yescharacteristic
1385#102C22×D7311yescharacteristic
1386#102C22×D7311yescharacteristic
1387#102C22×D7311yescharacteristic
1388#102C22×D7311yescharacteristic
1389#102C22×D7311yescharacteristic
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8—731no—
1393C22⋊C8—731no—
1394C22⋊C8C22×D7311yescharacteristic
1395C22⋊C8C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C4×C8—731no—
1399C4×C8—731no—
1400C4×C8—731no—
1401C4×C8C22×D7311yescharacteristic
1402C24—21no—
1403C24—1461no—
1404C24—1461no—
1405C24—1461no—
1406#41—41no—
1407#41—41no—
1408#41—2921no—
1409#41—2921no—
1410#41—2921no—
1411#41—2922no—
1412#41—2921no—
1413#41—2921no—
1414#41—2921no—
1415#41—2921no—
1416#41—5842no—
1417#41—5842no—
1418#41—5842no—
1419#41—1462no—
1420C2×Q8—731no—
1421C2×Q8—731no—
1422C2×Q8—731no—
1423C2×Q8—1461no—
1424C2×Q8—1461no—
1425C2×Q8C23×D7311yescharacteristic
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2921no—
1436C2×D4—2924no—
1437C2×D4—2921no—
1438C2×D4—2924no—
1439C2×D4—5842no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—731no—
1443C2×D4—731no—
1444C2×D4—731no—
1445C2×D4—731no—
1446C2×D4—1461no—
1447C2×D4—1462no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1462no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4D4×D7311yescharacteristic
1471C2×D4C23×D7311yescharacteristic
1472C2×D4C23×D7311yescharacteristic
1473C2×D4C23×D7311yescharacteristic
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—5842no—
1479C22×C4—5842no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4C23×D7311yescharacteristic
1503C22×C4C23×D7311yescharacteristic
1504Q16—2921no—
1505Q16—2921no—
1506SD16—41no—
1507SD16—2921no—
1508SD16—2921no—
1509SD16—2921no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—2921no—
1513SD16—2921no—
1514SD16—1462no—
1515SD16—1462no—
1516D8—41no—
1517D8—41no—
1518D8—2921no—
1519D8—2921no—
1520D8—2921no—
1521D8—2921no—
1522D8—2921no—
1523D8—2921no—
1524D8—1462no—
1525D8—1462no—
1526D8—1462no—
1527D8—1462no—
1528M16—41no—
1529M16—41no—
1530M16—2921no—
1531M16—2921no—
1532M16—2921no—
1533M16—2921no—
1534C2×C8—731no—
1535C2×C8—731no—
1536C2×C8—731no—
1537C2×C8—731no—
1538C2×C8C23×D7311yescharacteristic
1539C2×C8C23×D7311yescharacteristic
1540C2×C8C23×D7311yescharacteristic
1541C2×C8C23×D7311yescharacteristic
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—731no—
1552C4⋊C4—731no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4D4×D7311yescharacteristic
1568C4⋊C4C23×D7311yescharacteristic
1569C4⋊C4C23×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—731no—
1582C22⋊C4—731no—
1583C22⋊C4—731no—
1584C22⋊C4—731no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4D4×D7311yescharacteristic
1614C22⋊C4D4×D7311yescharacteristic
1615C42—21no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—731no—
1620C42—731no—
1621C42—731no—
1622C42—731no—
1623C42—731no—
1624C42—731no—
1625C42—1461no—
1626C42—1461no—
1627C42—1461no—
1628C42—1461no—
1629C42C23×D7311yescharacteristic
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—42no—
1634C23—81no—
1635C23—81no—
1636C23—2922no—
1637C23—2922no—
1638C23—2922no—
1639C23—2922no—
1640C23—2922no—
1641C23—5841no—
1642C23—5841no—
1643C23—5841no—
1644C23—5841no—
1645C23—731no—
1646C23—1461no—
1647C23—1461no—
1648C23—1461no—
1649C23—1461no—
1650C23C2×D4×D7311yescharacteristic
1651C23C2×D4×D7311yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—2922no—
1655Q8—5841no—
1656Q8—1462no—
1657Q8—1461no—
1658Q8—1461no—
1659Q8—1461no—
1660Q8—1461no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—21no—
1667D4—41no—
1668D4—42no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—2922no—
1681D4—2921no—
1682D4—2922no—
1683D4—2922no—
1684D4—2922no—
1685D4—5841no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—732no—
1697D4—1462no—
1698D4—1461no—
1699D4—1461no—
1700D4—1461no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—2922no—
1719C2×C4—2921no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2921no—
1725C2×C4—5841no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—5841no—
1731C2×C4—5841no—
1732C2×C4—5841no—
1733C2×C4—5841no—
1734C2×C4—5841no—
1735C2×C4—731no—
1736C2×C4—731no—
1737C2×C4—731no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—1462no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1462no—
1748C2×C4—1462no—
1749C2×C4—1462no—
1750C2×C4—1461no—
1751C2×C4—1461no—
1752C2×C4C2×D4×D7311yescharacteristic
1753C2×C4C2×D4×D7311yescharacteristic
1754C2×C4C2×D4×D7311yescharacteristic
1755C2×C4C2×D4×D7311yescharacteristic
1756C2×C4C24×D7311yescharacteristic
1757C8—21no—
1758C8—21no—
1759C8—21no—
1760C8—21no—
1761C8—1461no—
1762C8—1461no—
1763C8—1461no—
1764C8—1461no—
1765C22—21no—
1766C22—21no—
1767C22—21no—
1768C22—21no—
1769C22—21no—
1770C22—21no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—162no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—5844no—
1793C22—5844no—
1794C22—11682no—
1795C22—1462no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22C22×D4×D7311yescharacteristic
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—2921no—
1810C4—2921no—
1811C4—2921no—
1812C4—2921no—
1813C4—732no—
1814C4—732no—
1815C4—1461no—
1816C4—1461no—
1817C4—1461no—
1818C4—1461no—
1819C4—1461no—
1820C4H(5,𝔽2)×D7311yescharacteristic
1821C4#1798942311yescharacteristic
1822C2—41no—
1823C2—41no—
1824C2—81no—
1825C2—81no—
1826C2—81no—
1827C2—2922no—
1828C2—2921no—
1829C2—5841no—
1830C2—5841no—
1831C2—5841no—
1832C2#2262359411yescharacteristic
1833C2#575×D7311yescharacteristic
1834C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3322C2
socleC22×C73C23×D4
hypercenter#3322D73
hypocenterC73#61995
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623538C2semidirect
3. #22622943C2semidirect
4. #22622938C2semidirect
5. #22622594C2semidirect
6. #22622588C2semidirect
7. #22622267C2semidirect
8. #22622265C2semidirect
9. #22622130C2semidirect
10. #22622128C2semidirect
11. #22622126C2semidirect
12. #22621548C2semidirect
13. #22621544C2semidirect
14. #22621543C2semidirect
15. #22621542C2semidirect
16. #22621539C2semidirect
17. #22621538C2semidirect
18. #22621313C2semidirect
19. #22621292C2semidirect
20. #22621286C2semidirect
21. #22620908C2semidirect
22. #22620904C2semidirect
23. #22620847C2semidirect
24. #22619997C2semidirect
25. #22619929C2semidirect
26. #22619928C2semidirect
27. #22619410C2semidirect
28. #22619394C2semidirect
29. #22619393C2semidirect
30. #22619059C2semidirect
31. C73×#3322C2semidirect
33. C2×#14556619C22semidirect
34. C2×#14556618C22semidirect
36. C2×#14556616C22semidirect
37. C2×#14556615C22semidirect
39. #17989320C22semidirect
40. #17989320C22semidirect
41. #17989319C22semidirect
42. #17989293C22semidirect
43. #17989292C22semidirect
53. #17989233C22semidirect
54. #17989231C22semidirect
55. #17989228C22semidirect
59. #17989221C22semidirect
63. #17989139C22semidirect
64. #17989136C22semidirect
65. #17989134C22semidirect
66. #17989133C22semidirect
68. #17989132C22semidirect
69. C2×#14556587C22semidirect
70. #17989122C22semidirect
72. #17989118C22semidirect
78. C2×#14556553C22semidirect
80. C4×D4×D73C22semidirect
81. #17988971C22semidirect
82. #17988970C22semidirect
83. #17988969C22semidirect
84. #17988968C22semidirect
87. #17988944C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988932C22semidirect
91. #17988932C22semidirect
92. #17988928C22semidirect
93. #17988902C22semidirect
94. #17988900C22semidirect
95. #17988899C22semidirect
96. #17988886C22semidirect
97. #17988885C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988880C22semidirect
101. #17988871C22semidirect
102. #17988866C22semidirect
103. #17988866C22semidirect
104. #17988865C22semidirect
105. #17988841C22semidirect
106. #17988839C22semidirect
107. #17988838C22semidirect
108. #17988835C22semidirect
109. #17988834C22semidirect
110. #17988833C22semidirect
111. #17988833C22semidirect
112. #17988832C22semidirect
113. #17988831C22semidirect
114. #17988831C22semidirect
115. #17988805C22semidirect
116. #17988805C22semidirect
117. #17988803C22semidirect
118. #17988803C22semidirect
119. #17988802C22semidirect
120. #17988802C22semidirect
121. #17988801C22semidirect
122. #17988801C22semidirect
123. #17988801C22semidirect
124. #17988800C22semidirect
125. #17988799C22semidirect
126. #17988796C22semidirect
127. #17988791C22semidirect
128. #17988791C22semidirect
129. #17988790C22semidirect
130. #17988786C22semidirect
131. #17988786C22semidirect
132. #17988786C22semidirect
133. #17988786C22semidirect
134. #17988786C22semidirect
135. #17988785C22semidirect
140. #17988781C22semidirect
141. #17988781C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
144. #17988752C22semidirect
146. #17988751C22semidirect
147. #17988750C22semidirect
148. #17988749C22semidirect
150. #17988735C22semidirect
151. #17988733C22semidirect
152. #17988730C22semidirect
153. #17988723C22semidirect
154. #17988723C22semidirect
155. #17988722C22semidirect
156. #17988721C22semidirect
157. #17988720C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. C8×Dic146C22semidirect
161. #17988711C22semidirect
162. #17988681C22semidirect
163. #17988679C22semidirect
164. #17988674C22semidirect
165. #17988672C22semidirect
166. C4×D584C22semidirect
167. #17988669C22semidirect
168. #17988669C22semidirect
169. C4×#11924013C22semidirect
170. C4×#11924013C22semidirect
171. #17988667C22semidirect
172. #17988667C22semidirect
173. #17988665C22semidirect
174. #17988663C22semidirect
175. #17988663C22semidirect
176. #17988662C22semidirect
177. #17988662C22semidirect
178. #17988638C22semidirect
179. #17988637C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. #17988610C22semidirect
183. #17988609C22semidirect
184. #17988591C22semidirect
185. #17988587C22semidirect
186. #17988586C22semidirect
187. #17988585C22semidirect
189. #546×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. #436×C73C22semidirect
201. #418×C73C22semidirect
202. #417×C73C22semidirect
929. #3322D73semidirect
949. C73#61995semidirect
978. #546C2×D73semidirect
1010. #488C2×D73semidirect
1014. #485C2×D73semidirect
1018. #480C2×D73semidirect
1022. #478C2×D73semidirect
1032. #469C2×D73semidirect
1040. #468C2×D73semidirect
1052. #463C2×D73semidirect
1080. #449C2×D73semidirect
1088. #447C2×D73semidirect
1102. C4×D8C2×D73semidirect
1108. #436C2×D73semidirect
1116. #418C2×D73semidirect
1120. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235382
#226229432
#226229382
#226225942
#226225882
#226222672
#226222652
#226221302
#226221282
#226221262
#226215482
#226215442
#226215432
#226215422
#226215392
#226215382
#226213132
#226212922
#226212862
#226209082
#226209042
#226208472
#226199972
#226199292
#226199282
#226194102
#226193942
#226193932
#226190592
C73×#33222
#6199573