Finite Group Databasebeta

← #33968604

Subgroups — #33968604

Order 18688.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624007C211yesmaximal, characteristic, complemented
2#22623976C211yesmaximal, characteristic, complemented
3#22622922C211yesmaximal, characteristic, complemented
4#22622790C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622672C211yesmaximal, characteristic, complemented
7#22622286C211yesmaximal, characteristic, complemented
8#22622282C211yesmaximal, characteristic, complemented
9#22622281C211yesmaximal, characteristic, complemented
10#22622254C211yesmaximal, characteristic, complemented
11#22622242C211yesmaximal, characteristic, complemented
12#22622038C211yesmaximal, characteristic, complemented
13#22621898C211yesmaximal, characteristic, complemented
14#22621894C211yesmaximal, characteristic, complemented
15#22621654C211yesmaximal, characteristic, complemented
16#22621639C211yesmaximal, characteristic, complemented
17#22621631C211yesmaximal, characteristic, complemented
18#22620549C211yesmaximal, characteristic, complemented
19#22620547C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620215C211yesmaximal, characteristic, complemented
22#22620207C211yesmaximal, characteristic, complemented
23#22620203C211yesmaximal, characteristic, complemented
24#22620201C211yesmaximal, characteristic, complemented
25#22620056C211yesmaximal, characteristic, complemented
26#22620019C211yesmaximal, characteristic, complemented
27#22618901C211yesmaximal, characteristic, complemented
28#22618811C211yesmaximal, characteristic, complemented
29#22618810C211yesmaximal, characteristic, complemented
30C2×#17988672C211yesmaximal, characteristic, complemented
31C73×#3316C211yesmaximal, characteristic, complemented
32C2×#14556614C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35#17989319—21no—
36#17989319C2211yescharacteristic, complemented
37Q8×Dic146C2211yescharacteristic, complemented
38#17989309C2211yescharacteristic
39#17989295—21no—
40#17989295C2211yescharacteristic, complemented
41#17989292C2211yescharacteristic
42#17989269—21no—
43#17989266—21no—
44#17989264—21no—
45#17989256C2211yescharacteristic, complemented
46#17989252C2211yescharacteristic
47#17989248C2211yescharacteristic
48#17989247—21no—
49#17989241—21no—
50#17989241C2211yescharacteristic
51#17989239C2211yescharacteristic
52#17989238C2211yescharacteristic
53#17989237—21no—
54#17989237C2211yescharacteristic
55#17989233C2211yescharacteristic
56#17989228C2211yescharacteristic
57#17989211C2211yescharacteristic
58#17989210—21no—
59#17989210C2211yescharacteristic
60#17989210C2211yescharacteristic, complemented
61#17989206—21no—
62#17989206C2211yescharacteristic, complemented
63#17989185—21no—
64#17989183—21no—
65#17989139C2211yescharacteristic
66#17989132—21no—
67#17989132C2211yescharacteristic
68#17989117—21no—
69#17989117C2211yescharacteristic
70#17989096—21no—
71C22⋊Q8×D73—21no—
72#17989070C2211yescharacteristic, complemented
73#17989069C2211yescharacteristic
74#17989069C2211yescharacteristic, complemented
75#17989068C2211yescharacteristic
76C2×Q8×Dic73C2211yescharacteristic
77C2×#14556553C2211yescharacteristic
78#17988984C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988972C2211yescharacteristic
82#17988969C2211yescharacteristic
83#17988958C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic
91#17988916C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic
93#17988915C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic
95#17988906C2211yescharacteristic
96#17988905C2211yescharacteristic
97#17988905C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988878C2211yescharacteristic
100#17988876C2211yescharacteristic
101#17988876C2211yescharacteristic
102#17988876C2211yescharacteristic
103#17988875C2211yescharacteristic, complemented
104#17988874C2211yescharacteristic, complemented
105#17988872C2211yescharacteristic, complemented
106#17988871C2211yescharacteristic, complemented
107#17988870C2211yescharacteristic, complemented
108#17988870C2211yescharacteristic, complemented
109#17988870C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic
112#17988839C2211yescharacteristic
113#17988819C2211yescharacteristic
114#17988818C2211yescharacteristic
115#17988818C2211yescharacteristic
116#17988818C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic
118#17988815C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic
120#17988812C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic
122#17988809C2211yescharacteristic
123#17988805C2211yescharacteristic
124#17988804C2211yescharacteristic
125#17988803C2211yescharacteristic
126#17988799C2211yescharacteristic
127#17988795C2211yescharacteristic, complemented
128#17988795C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic
130#17988781C2211yescharacteristic
131#17988752C2211yescharacteristic, complemented
132#17988748C2211yescharacteristic
133#17988747C2211yescharacteristic
134#17988743C2211yescharacteristic
135#17988735C2211yescharacteristic
136#17988734C2211yescharacteristic
137#17988732C2211yescharacteristic
138#17988731C2211yescharacteristic
139#17988723C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988715C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic
149#17988694C2211yescharacteristic, complemented
150#17988694C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988691C2211yescharacteristic, complemented
154#17988678C2211yescharacteristic, complemented
155#17988678C2211yescharacteristic, complemented
156SD16×Dic73C2211yescharacteristic, complemented
157C4×#11924015C2211yescharacteristic
158C4×#11924015C2211yescharacteristic, complemented
159#17988674C2211yescharacteristic, complemented
160#17988672C2211yescharacteristic
161#17988672C2211yescharacteristic
162#17988672C2211yescharacteristic
163#17988672C2211yescharacteristic
164#17988672C2211yescharacteristic
165#17988672C2211yescharacteristic
166#17988672C2211yescharacteristic
167#17988672C2211yescharacteristic
168#17988672C2211yescharacteristic
169#17988672C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic
172D4×#10596831C2211yescharacteristic
173#17988650C2211yescharacteristic
174#17988650C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic
178C2×#14556522C2211yescharacteristic
179C2×#14556522C2211yescharacteristic, complemented
180#106×D73C2211yescharacteristic, complemented
181#17988589C2211yescharacteristic
182#17988587C2211yescharacteristic
183#17988587C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#548×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic
193#475×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×Q8×D73—21no—
211C22×D292C2311yescharacteristic
212C22×C4×D73—21no—
213#14556614—24no—
214#14556611—24no—
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924015—24no—
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591—21no—
234#14556591C2311yescharacteristic
235#14556590—21no—
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556589C2311yescharacteristic
242#14556587—21no—
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586D411yescharacteristic
249#14556585—21no—
250#14556584—21no—
251#14556584D411yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580—21no—
257#14556580—21no—
258#14556580C2311yescharacteristic
259#14556580C2311yescharacteristic
260#14556579C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577D411yescharacteristic
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575—21no—
276#14556575D411yescharacteristic
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572D411yescharacteristic
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568D411yescharacteristic
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567C2311yescharacteristic
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556565—21no—
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563D411yescharacteristic
317#14556562—21no—
318#14556562C2311yescharacteristic
319#14556561—21no—
320#14556559—21no—
321Q8×Dic73—21no—
322Q8×Dic73—21no—
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328Q8×Dic73C2311yescharacteristic
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73C2311yescharacteristic
358C4×C22⋊D73C2311yescharacteristic
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556550—21no—
363#14556550C2311yescharacteristic
364#14556549—21no—
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556548C2311yescharacteristic
369#14556547—21no—
370C2×C4⋊Dic73—21no—
371C2×C4⋊Dic73—21no—
372C2×C4⋊Dic73C2311yescharacteristic
373C2×C4⋊Dic73C2311yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×Q8×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#125×C73—21no—
447#124×C73—21no—
448#124×C73C2311yescharacteristic
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73—21no—
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73—21no—
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—22no—
484#11924029—41no—
485#11924029—41no—
486#11924028—22no—
487#11924028—41no—
488#11924028—82no—
489#11924027—82no—
490#11924027—82no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—82no—
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
517C2×C22⋊D73C2×D411yescharacteristic
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—82no—
538C2×C4×D73C2411yescharacteristic
539#11924018—22no—
540#11924018—41no—
541#11924017—41no—
542#11924016—22no—
543#11924015—22no—
544#11924015—22no—
545#11924015—22no—
546#11924015—22no—
547#11924015#4114yescomplemented
548D584—22no—
549D584—41no—
550#11924013—22no—
551#11924013—41no—
552#11924011—41no—
553C2×#10596831—22no—
554C2×#10596831—22no—
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C8×D73—22no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640#41×C73—22no—
641#41×C73—41no—
642C2×Q8×C73—21no—
643C2×Q8×C73—21no—
644C2×Q8×C73—22no—
645C2×Q8×C73—41no—
646C2×Q8×C73C2411yescharacteristic
647C2×Q8×C73C2411yescharacteristic
648C2×Q8×C73C2411yescharacteristic
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73C2411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659Q16×C73—22no—
660Q16×C73—41no—
661SD16×C73—41no—
662M16×C73—41no—
663C2×C8×C73—41no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—42no—
708Q8×C73—81no—
709Q8×C73C2×#4112yes—
710D4×C73—22no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—42no—
714D4×C73—42no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—42no—
727C2×C4×C73—42no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—22no—
736C22⋊D73—22no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C2×Dic73—22no—
745C2×Dic73—22no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—42no—
752C2×Dic73—81no—
753C2×Dic73—81no—
754C2×Dic73—81no—
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—42no—
768D292—42no—
769D292—42no—
770D292—81no—
771D292C2×#4112yes—
772C4×D73—21no—
773C4×D73—21no—
774C4×D73—42no—
775C4×D73—42no—
776C4×D73—42no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782C4×D73—81no—
783C4×D73—81no—
784C4×D73—81no—
785C4×D73—81no—
786C4×D73—81no—
787Dic146—22no—
788Dic146—21no—
789Dic146—21no—
790Dic146—42no—
791Dic146—81no—
792Dic146—81no—
793Dic146—81no—
794Dic146—81no—
795C8×C73—21no—
796C8×C73—21no—
797C8×C73—21no—
798C8×C73—21no—
799#10596831—21no—
800#10596831—21no—
801#10596831—21no—
802#10596831C2×#4112yes—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—21no—
806C22×C73—21no—
807C22×C73—21no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73#57712yes—
812C22×C73C23×D411yescharacteristic
813C2×D73—21no—
814C2×D73—22no—
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73—41no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—84no—
826C4×C73—21no—
827C4×C73—22no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73C22×#4111yescharacteristic
838C4×C73#58511yescharacteristic
839Dic73—21no—
840Dic73—21no—
841Dic73—21no—
842Dic73—21no—
843Dic73—21no—
844Dic73—21no—
845Dic73—41no—
846Dic73—41no—
847Dic73—41no—
848Dic73—41no—
849Dic73—41no—
850Dic73#57712yes—
851#61483—731nomaximal, Sylow
852C2×C73—22no—
853C2×C73—41no—
854C2×C73—81no—
855C2×C73D4×#4111yescharacteristic
856C2×C73C2×#57711yescharacteristic
857C2×C73C2×#57711yescharacteristic
858D73—41no—
859D73—42no—
860D73—81no—
861D73—81no—
862#3522—731no—
863#3520—731no—
864#3394—731no—
865Q8×SD16—731no—
866#3373—731no—
867#3369—731no—
868#3335—731no—
869#3335—731no—
870#3335—731no—
871#3332—731no—
872#3331—731no—
873#3316—731no—
874#3316D7311yescharacteristic, complemented
875#3306—731no—
876#3306—731no—
877#3284—731no—
878#3282—731no—
879#3282—731no—
880#3173—731no—
881#3173—731no—
882#3167—731no—
883#3125—731no—
884#3125—731no—
885#3125—731no—
886#3125—731no—
887#3113—731no—
888#3109—731no—
889#2966—731no—
890#2952—731no—
891#2952—731no—
892C2×C4×SD16—731no—
893C73#6148311yescharacteristic, complemented, Sylow
894C2×#135—731no—
895C2×#135—731no—
896C22×SD16—731no—
897#559—731no—
898#559—1461no—
899Q82—731no—
900#556—731no—
901#554—731no—
902#554—731no—
903#554—1461no—
904#554C2×D7311yescharacteristic
905#552—1461no—
906#551—1461no—
907#551—1461no—
908#550—731no—
909D4×Q8—731no—
910#548—731no—
911#548—1461no—
912#548C2×D7311yescharacteristic
913#547—731no—
914#547—731no—
915#547—731no—
916#547—731no—
917#547—1461no—
918#547—1461no—
919#546—731no—
920#546—731no—
921#542—731no—
922#542—731no—
923#542—731no—
924#542—731no—
925#542—1461no—
926#542—1461no—
927#539—1461no—
928#539—1461no—
929#533—731no—
930#532—731no—
931#532—1461no—
932#529—731no—
933#529—1461no—
934#525—1461no—
935C2×C22⋊Q8—1461no—
936#520—731no—
937#520—731no—
938#520—731no—
939#520—731no—
940C2×C4×Q8—731no—
941C2×C4×D4—731no—
942#498—731no—
943#498—731no—
944#498—731no—
945#495—731no—
946#495—731no—
947#492—731no—
948#489—731no—
949#489—731no—
950#489—731no—
951#489C2×D7311yescharacteristic, complemented
952#487—731no—
953#486—731no—
954#483—731no—
955#483—731no—
956#483—731no—
957#483—731no—
958#483—731no—
959#483C2×D7311yescharacteristic, complemented
960#481—731no—
961#481—731no—
962#481—731no—
963#481—731no—
964#481—731no—
965#481C2×D7311yescharacteristic
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476—731no—
971#476—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#475—731no—
976#475—731no—
977#475C2×D7311yescharacteristic, complemented
978#470—731no—
979#470C2×D7311yescharacteristic, complemented
980#469—731no—
981#469—731no—
982#465—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465C2×D7311yescharacteristic
990#464—731no—
991#464—731no—
992#464—731no—
993#464C2×D7311yescharacteristic, complemented
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#462—731no—
999#462—731no—
1000#459—731no—
1001#459—731no—
1002#452—731no—
1003#452—731no—
1004#452—731no—
1005#452C2×D7311yescharacteristic, complemented
1006#451—731no—
1007#451C2×D7311yescharacteristic
1008#449—731no—
1009#449—731no—
1010#449—731no—
1011#449—731no—
1012#447—731no—
1013#447—731no—
1014#446—731no—
1015C8×Q8—731no—
1016#442—731no—
1017#442—731no—
1018#442—731no—
1019#442—731no—
1020#442—731no—
1021#442—731no—
1022#441—731no—
1023#441—731no—
1024#441—731no—
1025#441—731no—
1026#441—731no—
1027#441C2×D7311yescharacteristic, complemented
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×SD16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040C4×SD16—731no—
1041C4×SD16—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044#436—731no—
1045#435—731no—
1046#435C2×D7311yescharacteristic
1047C8×D4—731no—
1048C8×D4—731no—
1049C8×D4—731no—
1050#433—731no—
1051#433—731no—
1052#432—731no—
1053C2×#106—731no—
1054C2×#106—731no—
1055C2×#106—731no—
1056#417—731no—
1057#417—731no—
1058#417—731no—
1059#417C2×D7311yescharacteristic, complemented
1060C2×#103C2×D7311yescharacteristic
1061C2×#102—731no—
1062#405—731no—
1063#405—731no—
1064C2×C4×C8—731no—
1065C2×#41—731no—
1066C2×#41—731no—
1067C2×#41—731no—
1068C2×#41—1461no—
1069C2×#41—1461no—
1070C2×#41—1461no—
1071C2×#41—1461no—
1072C2×#41C22×D7311yescharacteristic
1073C22×Q8—1461no—
1074C22×Q8C22×D7311yescharacteristic
1075C22×D4—731no—
1076C23×C4—1461no—
1077#135—1464no—
1078#135—1464no—
1079C2×Q16—731no—
1080C2×Q16—731no—
1081C2×Q16C22×D7311yescharacteristic
1082C2×Q16C22×D7311yescharacteristic
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—731no—
1088C2×SD16—731no—
1089C2×SD16—731no—
1090C2×SD16—1464no—
1091C2×SD16C22×D7311yescharacteristic
1092C2×D8—731no—
1093C2×D8—731no—
1094C2×D8—731no—
1095C2×D8—731no—
1096C2×M16—731no—
1097C2×M16C22×D7311yescharacteristic
1098C22×C8—731no—
1099C22×C8—731no—
1100C22×C8—731no—
1101C22×C8C22×D7311yescharacteristic
1102C4⋊Q8—731no—
1103C4⋊Q8—731no—
1104C4⋊Q8—731no—
1105C4⋊Q8—731no—
1106C4⋊Q8—731no—
1107C4⋊Q8—731no—
1108C4⋊Q8—1461no—
1109C4⋊Q8—1461no—
1110C4⋊Q8—1461no—
1111C4⋊Q8C22×D7311yescharacteristic
1112#127—731no—
1113#127—1461no—
1114#126—731no—
1115#126—731no—
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#125—21no—
1123#125—731no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#124—21no—
1128#124—731no—
1129#124—731no—
1130#124—731no—
1131#124—731no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#124—1461no—
1138#124—1461no—
1139#124C22×D7311yescharacteristic
1140#123—731no—
1141#123—731no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—731no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8C22×D7311yescharacteristic
1183C22⋊Q8C22×D7311yescharacteristic
1184C22⋊Q8C22×D7311yescharacteristic
1185#121—21no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121C22×D7311yescharacteristic
1200#120—1461no—
1201#120—1461no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—731no—
1207C4×Q8—731no—
1208C4×Q8—731no—
1209C4×Q8—731no—
1210C4×Q8—731no—
1211C4×Q8—1461no—
1212C4×Q8—1461no—
1213C4×Q8—1461no—
1214C4×Q8—1461no—
1215C4×Q8C22×D7311yescharacteristic
1216C4×Q8C22×D7311yescharacteristic
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4C22×D7311yescharacteristic
1248#117—731no—
1249#117—731no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—731no—
1259C2×C4⋊C4—731no—
1260C2×C4⋊C4—1461no—
1261C2×C4⋊C4—1461no—
1262C2×C4⋊C4—1461no—
1263C2×C4⋊C4—1461no—
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4C22×D7311yescharacteristic
1267C2×C4⋊C4C22×D7311yescharacteristic
1268C2×C22⋊C4—1461no—
1269C2×C22⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C42—731no—
1272C2×C42—1461no—
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106—731no—
1282#106—731no—
1283#106—731no—
1284#106—731no—
1285#106—731no—
1286#106C22×D7311yescharacteristic
1287#106C22×D7311yescharacteristic
1288#106C22×D7311yescharacteristic
1289C4⋊C8—731no—
1290C4⋊C8—731no—
1291C4⋊C8—731no—
1292C4⋊C8—731no—
1293C4⋊C8—731no—
1294C4⋊C8C22×D7311yescharacteristic
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103C22×D7311yescharacteristic
1305#103C22×D7311yescharacteristic
1306#103C22×D7311yescharacteristic
1307#103C22×D7311yescharacteristic
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102C22×D7311yescharacteristic
1325#102C22×D7311yescharacteristic
1326#102C22×D7311yescharacteristic
1327C22⋊C8—731no—
1328C22⋊C8—731no—
1329C22⋊C8—731no—
1330C22⋊C8—731no—
1331C22⋊C8C22×D7311yescharacteristic
1332C22⋊C8C22×D7311yescharacteristic
1333#97—731no—
1334#97—731no—
1335#97—731no—
1336#97C22×D7311yescharacteristic
1337C4×C8—731no—
1338C4×C8—731no—
1339C4×C8—731no—
1340C4×C8—731no—
1341C4×C8—731no—
1342C4×C8—731no—
1343C24—1461no—
1344#41—22no—
1345#41—41no—
1346#41—2921no—
1347#41—2921no—
1348#41—2921no—
1349#41—5842no—
1350#41—5842no—
1351#41—5842no—
1352#41—5842no—
1353#41—1462no—
1354#41—1462no—
1355#41—1462no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—22no—
1359C2×Q8—41no—
1360C2×Q8—5842no—
1361C2×Q8—731no—
1362C2×Q8—731no—
1363C2×Q8—1461no—
1364C2×Q8—1461no—
1365C2×Q8—1461no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×Q8C23×D7311yescharacteristic
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—2921no—
1374C2×D4—731no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4—1462no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4D4×D7311yescharacteristic
1392C2×D4C23×D7311yescharacteristic
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—5842no—
1398C22×C4—731no—
1399C22×C4—731no—
1400C22×C4—731no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4C23×D7311yescharacteristic
1419C22×C4C23×D7311yescharacteristic
1420Q16—22no—
1421Q16—41no—
1422Q16—2921no—
1423Q16—1462no—
1424SD16—41no—
1425SD16—2921no—
1426SD16—734no—
1427SD16—1462no—
1428SD16—1462no—
1429SD16—1462no—
1430SD16—1462no—
1431SD16—1462no—
1432D8—2921no—
1433D8—2921no—
1434D8—1462no—
1435D8—1462no—
1436M16—41no—
1437M16—2921no—
1438C2×C8—41no—
1439C2×C8—731no—
1440C2×C8—731no—
1441C2×C8—731no—
1442C2×C8—731no—
1443C2×C8—1462no—
1444C2×C8—1462no—
1445C2×C8—1462no—
1446C2×C8C23×D7311yescharacteristic
1447C2×C8C23×D7311yescharacteristic
1448C2×C8C23×D7311yescharacteristic
1449C2×C8C23×D7311yescharacteristic
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—731no—
1461C4⋊C4—731no—
1462C4⋊C4—731no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4D4×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C4⋊C4C23×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—731no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4D4×D7311yescharacteristic
1537C22⋊C4D4×D7311yescharacteristic
1538C42—21no—
1539C42—21no—
1540C42—731no—
1541C42—731no—
1542C42—731no—
1543C42—731no—
1544C42—731no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42—1461no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42C23×D7311yescharacteristic
1554C23—21no—
1555C23—2922no—
1556C23—2922no—
1557C23—5841no—
1558C23—731no—
1559C23—1461no—
1560C23—1461no—
1561C23—1461no—
1562C23C2×D4×D7311yescharacteristic
1563C23C2×D4×D7311yescharacteristic
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—21no—
1568Q8—21no—
1569Q8—42no—
1570Q8—81no—
1571Q8—2922no—
1572Q8—5841no—
1573Q8—5841no—
1574Q8—5841no—
1575Q8—5841no—
1576Q8—1462no—
1577Q8—1461no—
1578Q8—1461no—
1579Q8#41×D7312yes—
1580D4—22no—
1581D4—21no—
1582D4—21no—
1583D4—42no—
1584D4—42no—
1585D4—2922no—
1586D4—2922no—
1587D4—2922no—
1588D4—2922no—
1589D4—2922no—
1590D4—2922no—
1591D4—5841no—
1592D4—5841no—
1593D4—5841no—
1594D4—5841no—
1595D4—5841no—
1596D4—732no—
1597D4—1462no—
1598D4—1462no—
1599D4—1461no—
1600D4—1461no—
1601D4—1461no—
1602D4—1461no—
1603D4—1461no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—2922no—
1620C2×C4—2922no—
1621C2×C4—2922no—
1622C2×C4—2922no—
1623C2×C4—2922no—
1624C2×C4—2922no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—5841no—
1628C2×C4—5841no—
1629C2×C4—5841no—
1630C2×C4—5841no—
1631C2×C4—5841no—
1632C2×C4—5841no—
1633C2×C4—5841no—
1634C2×C4—5841no—
1635C2×C4—5841no—
1636C2×C4—731no—
1637C2×C4—731no—
1638C2×C4—731no—
1639C2×C4—731no—
1640C2×C4—731no—
1641C2×C4—731no—
1642C2×C4—731no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1461no—
1648C2×C4—1462no—
1649C2×C4—1462no—
1650C2×C4—1461no—
1651C2×C4—1461no—
1652C2×C4C2×D4×D7311yescharacteristic
1653C2×C4C2×D4×D7311yescharacteristic
1654C2×C4C2×D4×D7311yescharacteristic
1655C2×C4C2×D4×D7311yescharacteristic
1656C2×C4C24×D7311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—732no—
1662C8—1461no—
1663C8—1461no—
1664C8—1461no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—2921no—
1674C22—2921no—
1675C22—2921no—
1676C22—2921no—
1677C22—2921no—
1678C22—2921no—
1679C22—2921no—
1680C22—2921no—
1681C22—5844no—
1682C22—1461no—
1683C22—1461no—
1684C22—1462no—
1685C22—1461no—
1686C22#1798939612yes—
1687C22C22×D4×D7311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—22no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—2921no—
1700C4—2921no—
1701C4—2921no—
1702C4—2921no—
1703C4—2921no—
1704C4—732no—
1705C4—1461no—
1706C4—1461no—
1707C4—1461no—
1708C4—1461no—
1709C4—1461no—
1710C4—1461no—
1711C4C2×#41×D7311yescharacteristic
1712C4#1798942211yescharacteristic
1713C2—22no—
1714C2—41no—
1715C2—81no—
1716C2—2922no—
1717C2—2921no—
1718C2—5841no—
1719C2—5841no—
1720C2#2262341511yescharacteristic
1721C2#577×D7311yescharacteristic
1722C2C2×#1798939611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3316C2
socleC22×C73C23×D4
hypercenter#3316D73
hypocenterC73#61483
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #22624007C2semidirect
2. #22623976C2semidirect
3. #22622922C2semidirect
4. #22622790C2semidirect
5. #22622720C2semidirect
6. #22622672C2semidirect
7. #22622286C2semidirect
8. #22622282C2semidirect
9. #22622281C2semidirect
10. #22622254C2semidirect
11. #22622242C2semidirect
12. #22622038C2semidirect
13. #22621898C2semidirect
14. #22621894C2semidirect
15. #22621654C2semidirect
16. #22621639C2semidirect
17. #22621631C2semidirect
18. #22620549C2semidirect
19. #22620547C2semidirect
20. #22620485C2semidirect
21. #22620215C2semidirect
22. #22620207C2semidirect
23. #22620203C2semidirect
24. #22620201C2semidirect
25. #22620056C2semidirect
26. #22620019C2semidirect
27. #22618901C2semidirect
28. #22618811C2semidirect
29. #22618810C2semidirect
30. C2×#17988672C2semidirect
31. C73×#3316C2semidirect
36. #17989319C22semidirect
37. Q8×Dic146C22semidirect
40. #17989295C22semidirect
45. #17989256C22semidirect
60. #17989210C22semidirect
62. #17989206C22semidirect
72. #17989070C22semidirect
74. #17989069C22semidirect
78. #17988984C22semidirect
79. #17988984C22semidirect
80. #17988983C22semidirect
83. #17988958C22semidirect
85. #17988948C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988919C22semidirect
91. #17988916C22semidirect
93. #17988915C22semidirect
97. #17988905C22semidirect
98. #17988904C22semidirect
103. #17988875C22semidirect
104. #17988874C22semidirect
105. #17988872C22semidirect
106. #17988871C22semidirect
107. #17988870C22semidirect
108. #17988870C22semidirect
109. #17988870C22semidirect
110. #17988844C22semidirect
116. #17988818C22semidirect
118. #17988815C22semidirect
120. #17988812C22semidirect
127. #17988795C22semidirect
128. #17988795C22semidirect
131. #17988752C22semidirect
141. #17988715C22semidirect
142. #17988711C22semidirect
149. #17988694C22semidirect
150. #17988694C22semidirect
151. #17988691C22semidirect
152. #17988691C22semidirect
153. #17988691C22semidirect
154. #17988678C22semidirect
155. #17988678C22semidirect
156. SD16×Dic73C22semidirect
158. C4×#11924015C22semidirect
159. #17988674C22semidirect
169. #17988672C22semidirect
170. #17988663C22semidirect
174. #17988650C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
179. C2×#14556522C22semidirect
180. #106×D73C22semidirect
183. #17988587C22semidirect
185. #17988545C22semidirect
186. #17988544C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
193. #475×C73C22semidirect
194. #470×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
199. #441×C73C22semidirect
201. #417×C73C22semidirect
547. #11924015#41semidirect
874. #3316D73semidirect
893. C73#61483semidirect
951. #489C2×D73semidirect
959. #483C2×D73semidirect
977. #475C2×D73semidirect
979. #470C2×D73semidirect
993. #464C2×D73semidirect
1005. #452C2×D73semidirect
1027. #441C2×D73semidirect
1059. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240072
#226239762
#226229222
#226227902
#226227202
#226226722
#226222862
#226222822
#226222812
#226222542
#226222422
#226220382
#226218982
#226218942
#226216542
#226216392
#226216312
#226205492
#226205472
#226204852
#226202152
#226202072
#226202032
#226202012
#226200562
#226200192
#226189012
#226188112
#226188102
C2×#179886722
C73×#33162
#6148373