Finite Group Databasebeta

← #33979684

Subgroups — #33979684

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624292C211yesmaximal, characteristic, complemented
2#22623997C211yesmaximal, characteristic, complemented
3#22623013C211yesmaximal, characteristic, complemented
4#22622948C211yesmaximal, characteristic, complemented
5#22622757C211yesmaximal, characteristic, complemented
6#22622643C211yesmaximal, characteristic, complemented
7#22622020C211yesmaximal, characteristic, complemented
8#22621966C211yesmaximal, characteristic, complemented
9#22621956C211yesmaximal, characteristic, complemented
10#22621930C211yesmaximal, characteristic, complemented
11#22621869C211yesmaximal, characteristic, complemented
12#22621785C211yesmaximal, characteristic, complemented
13#22621654C211yesmaximal, characteristic, complemented
14#22621615C211yesmaximal, characteristic, complemented
15#22621470C211yesmaximal, characteristic, complemented
16#22621454C211yesmaximal, characteristic, complemented
17#22621449C211yesmaximal, characteristic, complemented
18#22621409C211yesmaximal, characteristic, complemented
19#22621396C211yesmaximal, characteristic, complemented
20#22621362C211yesmaximal, characteristic, complemented
21#22621253C211yesmaximal, characteristic, complemented
22#22621002C211yesmaximal, characteristic, complemented
23#22620967C211yesmaximal, characteristic, complemented
24#22620195C211yesmaximal, characteristic, complemented
25#22620112C211yesmaximal, characteristic, complemented
26#22620081C211yesmaximal, characteristic, complemented
27#22619466C211yesmaximal, characteristic, complemented
28#22619429C211yesmaximal, characteristic, complemented
29#22619385C211yesmaximal, characteristic, complemented
30#22619065C211yesmaximal, characteristic, complemented
31C73×#3224C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556615C2211yescharacteristic, complemented
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic
38#17989326—21no—
39#17989325—21no—
40#17989311C2211yescharacteristic, complemented
41#17989306C2211yescharacteristic, complemented
42#17989306C2211yescharacteristic, complemented
43#17989298C2211yescharacteristic, complemented
44#17989289C2211yescharacteristic, complemented
45#17989282—21no—
46#17989280—21no—
47#17989279C2211yescharacteristic
48#17989271—21no—
49#17989264—21no—
50#17989260—21no—
51#17989257C2211yescharacteristic
52#17989257C2211yescharacteristic, complemented
53#17989256C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic, complemented
55#17989236C2211yescharacteristic
56#17989234C2211yescharacteristic
57#17989231C2211yescharacteristic, complemented
58#17989230C2211yescharacteristic
59#17989230C2211yescharacteristic, complemented
60#17989224—21no—
61D4×C22⋊D73C2211yescharacteristic
62#17989208C2211yescharacteristic, complemented
63#17989206C2211yescharacteristic
64#17989195C2211yescharacteristic, complemented
65#17989178—21no—
66#17989172—21no—
67#17989171—21no—
68#17989169—21no—
69#17989164—21no—
70#17989152—21no—
71#17989150C2211yescharacteristic
72#17989136C2211yescharacteristic, complemented
73#17989135C2211yescharacteristic, complemented
74#17989119C2211yescharacteristic, complemented
75#17989116—21no—
76#17989115C2211yescharacteristic
77#126×D73—21no—
78#17989067C2211yescharacteristic, complemented
79#17989059C2211yescharacteristic, complemented
80C4×#11924029C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic
84#17988958C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988909C2211yescharacteristic
92#17988909C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988901C2211yescharacteristic, complemented
95#17988896C2211yescharacteristic, complemented
96#17988885C2211yescharacteristic, complemented
97#17988885C2211yescharacteristic, complemented
98#17988885C2211yescharacteristic, complemented
99#17988883C2211yescharacteristic, complemented
100#17988877C2211yescharacteristic, complemented
101#17988874C2211yescharacteristic, complemented
102#17988872C2211yescharacteristic, complemented
103#17988869C2211yescharacteristic, complemented
104#17988868C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic
108#17988830C2211yescharacteristic
109#17988825C2211yescharacteristic, complemented
110#17988820C2211yescharacteristic
111#17988820C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic
114#17988815C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic
125#17988800C2211yescharacteristic
126#17988800C2211yescharacteristic
127#17988800C2211yescharacteristic, complemented
128#17988799C2211yescharacteristic
129#17988799C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988795C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988784C2211yescharacteristic, complemented
137#17988784C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic
139#17988781C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988779C2211yescharacteristic
142#17988779C2211yescharacteristic, complemented
143#17988752C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988750C2211yescharacteristic, complemented
146#17988750C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic
149#17988736C2211yescharacteristic
150#17988736C2211yescharacteristic, complemented
151#17988734C2211yescharacteristic
152#17988731C2211yescharacteristic
153#17988731C2211yescharacteristic, complemented
154#17988731C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988717C2211yescharacteristic, complemented
158#17988715C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic
160#17988696C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167C4×Dic292C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169C4×D584C2211yescharacteristic, complemented
170D8×Dic73C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic
172#17988661C2211yescharacteristic, complemented
173#17988660C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic
175C8×D292C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988643C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988588C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187C2×#14556512C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic
192#489×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027C2311yescharacteristic
209C2×#11924027C2311yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213#14556617—42no—
214#14556615—42no—
215#14556614—42no—
216#14556612—42no—
217#14556611—42no—
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234D8×D73—42no—
235C2×#11924012C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C22×#10596831C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241#14556591C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587—21no—
245#14556587—21no—
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586D411yescharacteristic
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556584—21no—
262#14556584D411yescharacteristic
263#14556583—21no—
264#14556582—21no—
265#14556582C2311yescharacteristic
266#14556582C2311yescharacteristic
267#14556581—21no—
268#14556581D411yescharacteristic
269#14556580—21no—
270#14556579C2311yescharacteristic
271#14556578—21no—
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556577—21no—
275#14556577—21no—
276#14556577D411yescharacteristic
277#14556576—21no—
278#14556576D411yescharacteristic
279#14556575—21no—
280#14556575—21no—
281#14556575—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573D411yescharacteristic
290#14556572—21no—
291#14556572—21no—
292#14556571—21no—
293#14556571C2311yescharacteristic
294#14556571C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569D411yescharacteristic
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564D411yescharacteristic
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556561—21no—
332#14556561—21no—
333#14556560—21no—
334#14556560—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339Q8×Dic73—21no—
340Q8×Dic73C2311yescharacteristic
341Q8×Dic73C2311yescharacteristic
342C4×Dic146C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346C4×D292—21no—
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350C4×D292C2311yescharacteristic
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358#14556553—21no—
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73C2311yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556550—21no—
372#14556549—21no—
373#14556549—21no—
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556548C2311yescharacteristic
377#14556547—21no—
378#14556547—21no—
379#14556547—21no—
380C2×C4⋊Dic73C2311yescharacteristic
381C2×#11924007—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C2×C22⋊Dic73—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C42×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556525C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452#127×C73C2311yescharacteristic
453#127×C73C2311yescharacteristic
454#126×C73—21no—
455#124×C73—21no—
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466#120×C73—21no—
467C4×Q8×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×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
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—22no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924028—22no—
491#11924028—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495#11924027—41no—
496#11924027—82no—
497#11924027—82no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×D292—21no—
503C2×D292—21no—
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—82no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—22no—
525D4×D73—41no—
526D4×D73—41no—
527D4×D73—41no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547Dic292—41no—
548#11924018—41no—
549#11924018—41no—
550#11924017—22no—
551#11924017—41no—
552#11924016—41no—
553#11924016—41no—
554#11924016—41no—
555#11924016—41no—
556#11924015—22no—
557#11924015—41no—
558D584—22no—
559#11924013—22no—
560#11924013—22no—
561#11924013—22no—
562#11924013—41no—
563#11924012—41no—
564#11924011—41no—
565C2×#10596831—41no—
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C8×D73—41no—
571C8×D73—41no—
572C8×D73—41no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73C2×D411yescharacteristic
619C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C24×C73—21no—
652#41×C73—41no—
653#41×C73—41no—
654C2×Q8×C73—21no—
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—41no—
665C2×D4×C73—41no—
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73C2411yescharacteristic
673Q16×C73—41no—
674SD16×C73—41no—
675SD16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678D8×C73—41no—
679D8×C73—41no—
680D8×C73—41no—
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
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—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—81no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73—81no—
743D4×C73—81no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C2511yescharacteristic
758C22⋊D73—41no—
759C22⋊D73—41no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—42no—
781C2×Dic73—42no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793D292—21no—
794D292—21no—
795D292—21no—
796D292—41no—
797D292—42no—
798D292—81no—
799D292H(5,𝔽2)12yes—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—21no—
803C4×D73—21no—
804C4×D73—41no—
805C4×D73—41no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—41no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—162no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—22no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62024—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—41no—
893D73—42no—
894D73—81no—
895#3546—731no—
896#3521—731no—
897#3402—731no—
898#3397—731no—
899#3376—731no—
900#3366—731no—
901#3315—731no—
902#3311—731no—
903#3310—731no—
904#3309—731no—
905#3304—731no—
906#3297—731no—
907#3284—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3267—731no—
912#3264—731no—
913#3263—731no—
914#3258—731no—
915#3247—731no—
916#3224D7311yescharacteristic, complemented
917#3222—731no—
918#3219—731no—
919#3124—731no—
920#3118—731no—
921#3115—731no—
922#3045—731no—
923#3041—731no—
924#3035—731no—
925#2992—731no—
926C73#6202411yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×#135—731no—
930C2×#135—731no—
931C2×#135—731no—
932C22×D8—731no—
933#560—1461no—
934#560—1461no—
935#556—731no—
936#556—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#552—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#550—731no—
948#550—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#542—731no—
959#542C2×D7311yescharacteristic, complemented
960#541—731no—
961#539—1461no—
962#538—1461no—
963#538—1461no—
964#538—1461no—
965#537—1461no—
966#535—731no—
967#535—1461no—
968#535C2×D7311yescharacteristic, complemented
969#532—731no—
970#532—731no—
971#529—731no—
972#529—731no—
973#529—1461no—
974C2×#126—1461no—
975#520—731no—
976#518—731no—
977C4×#41—731no—
978#497—731no—
979#497—731no—
980#496—731no—
981#496C2×D7311yescharacteristic, complemented
982#495C2×D7311yescharacteristic
983#492—731no—
984#491—731no—
985#490—731no—
986#490—731no—
987#489C2×D7311yescharacteristic, complemented
988#488—731no—
989#486C2×D7311yescharacteristic, complemented
990#485—731no—
991#484—731no—
992#482—731no—
993#482—731no—
994#482—731no—
995#480—731no—
996#479—731no—
997#478—731no—
998#478—731no—
999#478—731no—
1000#477—731no—
1001#476—731no—
1002#476—731no—
1003#475—731no—
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#470—731no—
1008#469—731no—
1009#468—731no—
1010#467—731no—
1011#466—731no—
1012#466—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464C2×D7311yescharacteristic, complemented
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#463—731no—
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460C2×D7311yescharacteristic, complemented
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459C2×D7311yescharacteristic
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#452C2×D7311yescharacteristic, complemented
1054#450—731no—
1055#450—731no—
1056#450—731no—
1057#450C2×D7311yescharacteristic, complemented
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449C2×D7311yescharacteristic, complemented
1064#447—731no—
1065#447C2×D7311yescharacteristic
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442—731no—
1070#442—731no—
1071#440—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440—731no—
1076C4×Q16—731no—
1077C4×SD16—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435—731no—
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433C2×D7311yescharacteristic, complemented
1088#432—731no—
1089#424—731no—
1090#424—731no—
1091C2×C4⋊C8—731no—
1092#418—731no—
1093#417—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C2×#41C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4C22×D7311yescharacteristic
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112#135—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×Q16C22×D7311yescharacteristic
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—2922no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8C22×D7311yescharacteristic
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#127—1461no—
1154#127C22×D7311yescharacteristic
1155#127C22×D7311yescharacteristic
1156#126—21no—
1157#126—731no—
1158#126—731no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#126—1461no—
1172#125—731no—
1173#125—731no—
1174#125—731no—
1175#125—1461no—
1176#125—1461no—
1177#125—1461no—
1178#124—21no—
1179#124—731no—
1180#124—731no—
1181#124—731no—
1182#124—731no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124C22×D7311yescharacteristic
1188#124C22×D7311yescharacteristic
1189#124C22×D7311yescharacteristic
1190#123—21no—
1191#123—731no—
1192#123—731no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—21no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8C22×D7311yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
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#121C22×D7311yescharacteristic
1250#120—21no—
1251#120—21no—
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×Q8—1461no—
1267C4×Q8C22×D7311yescharacteristic
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4C22×D7311yescharacteristic
1294#117—731no—
1295#117—731no—
1296#117—731no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C42—731no—
1316C2×C42—1461no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
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#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375#97—731no—
1376#97C22×D7311yescharacteristic
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—5842no—
1393#41—5842no—
1394#41—1462no—
1395#41—1462no—
1396C2×Q8—21no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×Q8C23×D7311yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—2921no—
1413C2×D4—2921no—
1414C2×D4—2921no—
1415C2×D4—5842no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1462no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4C23×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—2921no—
1466Q16—2921no—
1467Q16—2921no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—1462no—
1479SD16—1462no—
1480D8—41no—
1481D8—41no—
1482D8—41no—
1483D8—2921no—
1484D8—1462no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490C2×C8—2921no—
1491C2×C8—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4D4×D7311yescharacteristic
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
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—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4D4×D7311yescharacteristic
1586C22⋊C4D4×D7311yescharacteristic
1587C42—21no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23—2922no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—5841no—
1614C23—731no—
1615C23—731no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—81no—
1624Q8—2921no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—2921no—
1646D4—2922no—
1647D4—2922no—
1648D4—2921no—
1649D4—2921no—
1650D4—2922no—
1651D4—2922no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—5841no—
1664D4—732no—
1665D4—1461no—
1666D4—1461no—
1667D4—1461no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—2922no—
1677C2×C4—2921no—
1678C2×C4—2921no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—11682no—
1745C22—11682no—
1746C22—1462no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—2922no—
1783C2—2921no—
1784C2—2921no—
1785C2—5841no—
1786C2#2262359811yescharacteristic
1787C2#2262469911yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3224C2
socleC22×C73C23×D4
hypercenter#3224D73
hypocenterC73#62024
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #22624292C2semidirect
2. #22623997C2semidirect
3. #22623013C2semidirect
4. #22622948C2semidirect
5. #22622757C2semidirect
6. #22622643C2semidirect
7. #22622020C2semidirect
8. #22621966C2semidirect
9. #22621956C2semidirect
10. #22621930C2semidirect
11. #22621869C2semidirect
12. #22621785C2semidirect
13. #22621654C2semidirect
14. #22621615C2semidirect
15. #22621470C2semidirect
16. #22621454C2semidirect
17. #22621449C2semidirect
18. #22621409C2semidirect
19. #22621396C2semidirect
20. #22621362C2semidirect
21. #22621253C2semidirect
22. #22621002C2semidirect
23. #22620967C2semidirect
24. #22620195C2semidirect
25. #22620112C2semidirect
26. #22620081C2semidirect
27. #22619466C2semidirect
28. #22619429C2semidirect
29. #22619385C2semidirect
30. #22619065C2semidirect
31. C73×#3224C2semidirect
33. C2×#14556615C22semidirect
34. C2×#14556614C22semidirect
35. C2×#14556612C22semidirect
36. C2×#14556611C22semidirect
40. #17989311C22semidirect
41. #17989306C22semidirect
42. #17989306C22semidirect
43. #17989298C22semidirect
44. #17989289C22semidirect
52. #17989257C22semidirect
53. #17989256C22semidirect
54. #17989239C22semidirect
57. #17989231C22semidirect
59. #17989230C22semidirect
62. #17989208C22semidirect
64. #17989195C22semidirect
72. #17989136C22semidirect
73. #17989135C22semidirect
74. #17989119C22semidirect
78. #17989067C22semidirect
79. #17989059C22semidirect
80. C4×#11924029C22semidirect
81. #17988978C22semidirect
82. #17988978C22semidirect
84. #17988958C22semidirect
85. #17988954C22semidirect
86. #17988950C22semidirect
87. #17988950C22semidirect
88. #17988940C22semidirect
89. #17988927C22semidirect
90. #17988923C22semidirect
92. #17988909C22semidirect
93. #17988909C22semidirect
94. #17988901C22semidirect
95. #17988896C22semidirect
96. #17988885C22semidirect
97. #17988885C22semidirect
98. #17988885C22semidirect
99. #17988883C22semidirect
100. #17988877C22semidirect
101. #17988874C22semidirect
102. #17988872C22semidirect
103. #17988869C22semidirect
104. #17988868C22semidirect
105. #17988844C22semidirect
106. #17988843C22semidirect
109. #17988825C22semidirect
111. #17988820C22semidirect
112. #17988818C22semidirect
114. #17988815C22semidirect
115. #17988815C22semidirect
116. #17988814C22semidirect
117. #17988810C22semidirect
118. #17988809C22semidirect
119. #17988806C22semidirect
120. #17988806C22semidirect
121. #17988806C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
127. #17988800C22semidirect
129. #17988799C22semidirect
130. #17988799C22semidirect
131. #17988795C22semidirect
132. #17988795C22semidirect
133. #17988791C22semidirect
134. #17988790C22semidirect
135. #17988785C22semidirect
136. #17988784C22semidirect
137. #17988784C22semidirect
139. #17988781C22semidirect
140. #17988780C22semidirect
142. #17988779C22semidirect
143. #17988752C22semidirect
144. #17988751C22semidirect
145. #17988750C22semidirect
146. #17988750C22semidirect
147. #17988746C22semidirect
150. #17988736C22semidirect
153. #17988731C22semidirect
154. #17988731C22semidirect
155. #17988729C22semidirect
157. #17988717C22semidirect
158. #17988715C22semidirect
160. #17988696C22semidirect
161. #17988696C22semidirect
162. #17988689C22semidirect
163. #17988689C22semidirect
164. #17988688C22semidirect
165. #17988688C22semidirect
166. #17988688C22semidirect
167. C4×Dic292C22semidirect
168. #17988672C22semidirect
169. C4×D584C22semidirect
170. D8×Dic73C22semidirect
172. #17988661C22semidirect
173. #17988660C22semidirect
175. C8×D292C22semidirect
176. #17988650C22semidirect
177. #17988647C22semidirect
178. #17988643C22semidirect
179. #17988614C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
183. #17988588C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. #17988580C22semidirect
187. C2×#14556512C22semidirect
188. #542×C73C22semidirect
189. #535×C73C22semidirect
190. #496×C73C22semidirect
192. #489×C73C22semidirect
193. #486×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
202. #433×C73C22semidirect
916. #3224D73semidirect
926. C73#62024semidirect
959. #542C2×D73semidirect
968. #535C2×D73semidirect
981. #496C2×D73semidirect
987. #489C2×D73semidirect
989. #486C2×D73semidirect
1023. #464C2×D73semidirect
1033. #463C2×D73semidirect
1041. #460C2×D73semidirect
1053. #452C2×D73semidirect
1057. #450C2×D73semidirect
1063. #449C2×D73semidirect
1087. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242922
#226239972
#226230132
#226229482
#226227572
#226226432
#226220202
#226219662
#226219562
#226219302
#226218692
#226217852
#226216542
#226216152
#226214702
#226214542
#226214492
#226214092
#226213962
#226213622
#226212532
#226210022
#226209672
#226201952
#226201122
#226200812
#226194662
#226194292
#226193852
#226190652
C73×#32242
#6202473