Finite Group Databasebeta

← #33969079

Subgroups — #33969079

Order 18688.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623940C211yesmaximal, characteristic, complemented
2#22623871C211yesmaximal, characteristic, complemented
3#22623004C211yesmaximal, characteristic, complemented
4#22622836C211yesmaximal, characteristic, complemented
5#22622751C211yesmaximal, characteristic, complemented
6#22622748C211yesmaximal, characteristic, complemented
7#22622508C211yesmaximal, characteristic, complemented
8#22622454C211yesmaximal, characteristic, complemented
9#22622438C211yesmaximal, characteristic, complemented
10#22622202C211yesmaximal, characteristic, complemented
11#22622155C211yesmaximal, characteristic, complemented
12#22622109C211yesmaximal, characteristic, complemented
13#22622084C211yesmaximal, characteristic, complemented
14#22621960C211yesmaximal, characteristic, complemented
15#22621925C211yesmaximal, characteristic, complemented
16#22621566C211yesmaximal, characteristic, complemented
17#22621447C211yesmaximal, characteristic, complemented
18#22621424C211yesmaximal, characteristic, complemented
19#22620612C211yesmaximal, characteristic, complemented
20#22620568C211yesmaximal, characteristic, complemented
21#22620531C211yesmaximal, characteristic, complemented
22#22620221C211yesmaximal, characteristic, complemented
23#22620197C211yesmaximal, characteristic, complemented
24#22620158C211yesmaximal, characteristic, complemented
25#22620119C211yesmaximal, characteristic, complemented
26#22620042C211yesmaximal, characteristic, complemented
27#22618911C211yesmaximal, characteristic, complemented
28#22618787C211yesmaximal, characteristic, complemented
29#22618771C211yesmaximal, characteristic, complemented
30C4×#14556617C211yesmaximal, characteristic, complemented
31C73×#3110C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989311C2211yescharacteristic, complemented
38#17989309—21no—
39#17989309—21no—
40#17989308C2211yescharacteristic
41#17989308C2211yescharacteristic, complemented
42#17989305—21no—
43#17989303C2211yescharacteristic, complemented
44#17989300—21no—
45#17989296C2211yescharacteristic
46#17989287C2211yescharacteristic
47#17989286—21no—
48#17989272C2211yescharacteristic
49#17989266—21no—
50#17989263—21no—
51#17989252C2211yescharacteristic, complemented
52#17989247C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989238C2211yescharacteristic
55#17989232C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989227—21no—
58D4×C22⋊D73C2211yescharacteristic
59#17989209C2211yescharacteristic, complemented
60#17989209C2211yescharacteristic, complemented
61#17989207—21no—
62#17989207—21no—
63#17989202C2211yescharacteristic
64#17989188C2211yescharacteristic
65#17989179—21no—
66#17989170—21no—
67#17989143—21no—
68#17989122—21no—
69#17989121C2211yescharacteristic
70#17989121C2211yescharacteristic
71#17989098—21no—
72C2×#14556574—21no—
73#17989066C2211yescharacteristic
74#17989063C2211yescharacteristic, complemented
75#17989063C2211yescharacteristic, complemented
76#17989059C2211yescharacteristic
77C4×#11924028C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988955C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic
90#17988930C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic
97#17988910C2211yescharacteristic
98#17988909C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988881C2211yescharacteristic, complemented
105#17988881C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic
107#17988870C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic
110#17988843C2211yescharacteristic, complemented
111#17988843C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988836C2211yescharacteristic, complemented
114#17988835C2211yescharacteristic
115#17988835C2211yescharacteristic
116#17988834C2211yescharacteristic, complemented
117#17988830C2211yescharacteristic
118#17988827C2211yescharacteristic, complemented
119#17988824C2211yescharacteristic, complemented
120#17988822C2211yescharacteristic
121#17988813C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic
128#17988804C2211yescharacteristic
129#17988803C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic
131#17988785C2211yescharacteristic
132#17988751C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic
134#17988744C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic
136#17988734C2211yescharacteristic
137#17988733C2211yescharacteristic
138#17988727C2211yescharacteristic, complemented
139#17988724C2211yescharacteristic
140#17988724C2211yescharacteristic, complemented
141#17988722C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic
146#17988697C2211yescharacteristic, complemented
147#17988695C2211yescharacteristic, complemented
148#17988691C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic, complemented
155#17988684C2211yescharacteristic
156#17988681C2211yescharacteristic, complemented
157C4×#11924018C2211yescharacteristic, complemented
158C4×#11924018C2211yescharacteristic, complemented
159#17988678C2211yescharacteristic
160SD16×Dic73C2211yescharacteristic
161C4×#11924015C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic, complemented
163C4×#11924016C2211yescharacteristic
164C4×#11924016C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic
167C4×#11924013C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic
169#17988662C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic
171#17988661C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988649C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988627C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988592C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988586C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic
184#103×D73C2211yescharacteristic, complemented
185#17988544C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C4×#11924012C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#484×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#474×C73C2211yescharacteristic
193#474×C73C2211yescharacteristic, complemented
194#461×C73C2211yescharacteristic
195#461×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#440×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210#14556620—24no—
211#14556617—24no—
212C2×Dic292C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221SD16×D73—24no—
222C2×D584C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924012C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556590—21no—
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589—21no—
237#14556589—21no—
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556585—21no—
245#14556585—21no—
246#14556585—21no—
247#14556585D411yescharacteristic
248#14556585D411yescharacteristic
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556583D411yescharacteristic
254#14556583C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556580—21no—
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579—21no—
263#14556579D411yescharacteristic
264#14556579C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556574D411yescharacteristic
284#14556574D411yescharacteristic
285#14556573—21no—
286#14556573—21no—
287#14556572—21no—
288#14556571—21no—
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570—21no—
292#14556570D411yescharacteristic
293#14556570C2311yescharacteristic
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565D411yescharacteristic
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556563—21no—
318#14556563—21no—
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556560—21no—
323#14556560—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556—21no—
335#14556556—21no—
336#14556556—21no—
337#14556556—21no—
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556550—21no—
363#14556550C2311yescharacteristic
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556548—21no—
372#14556548—21no—
373#14556548—21no—
374#14556548—21no—
375#14556548C2311yescharacteristic
376#14556548C2311yescharacteristic
377#14556547—21no—
378C2×#11924007—21no—
379C2×#11924007—21no—
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×#11924005—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C42×D73—21no—
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#125×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C4×Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—41no—
484#11924028—82no—
485#11924027—22no—
486#11924027—41no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—22no—
496Q8×D73—22no—
497Q8×D73—41no—
498Q8×D73—41no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
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—82no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516D4×D73—22no—
517D4×D73—41no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73C2411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531Dic292—22no—
532#11924018—22no—
533#11924018—41no—
534#11924017—22no—
535#11924017—41no—
536#11924016—22no—
537#11924016#4114yescomplemented
538#11924015—22no—
539#11924015—41no—
540D584—41no—
541#11924013—22no—
542#11924013—22no—
543#11924012—22no—
544#11924012—41no—
545#11924011—22no—
546#11924011—41no—
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C8×D73—22no—
552C8×D73—41no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2×D411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73C2×D411yescharacteristic
596C22⋊Dic73C2×D411yescharacteristic
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625C4×Dic73—21no—
626C4×Dic73—21no—
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×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640C2×Q8×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×D4×C73—22no—
644C2×D4×C73—21no—
645C2×D4×C73—41no—
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—82no—
654C22×C4×C73C2×D411yescharacteristic
655C22×C4×C73C2×D411yescharacteristic
656C22×C4×C73C2411yescharacteristic
657SD16×C73—22no—
658SD16×C73—22no—
659SD16×C73—41no—
660SD16×C73—41no—
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—42no—
692C23×C73—42no—
693C23×C73—81no—
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—42no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73C22×D411yescharacteristic
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—81no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—42no—
711D4×C73C2×#4112yes—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—41no—
721C2×C4×C73—41no—
722C2×C4×C73—42no—
723C2×C4×C73—81no—
724C2×C4×C73—81no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C2511yescharacteristic
733C22⋊D73—41no—
734C22⋊D73—41no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—42no—
750C2×Dic73—81no—
751C2×Dic73—81no—
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758D292—21no—
759D292—21no—
760D292—21no—
761D292—21no—
762D292—41no—
763D292—81no—
764D292—81no—
765D292—81no—
766C4×D73—21no—
767C4×D73—21no—
768C4×D73—21no—
769C4×D73—21no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—41no—
782Dic146—42no—
783Dic146—42no—
784Dic146—81no—
785Dic146—81no—
786Dic146—81no—
787Dic146C2×#4112yes—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—22no—
799C22×C73—21no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—84no—
806C22×C73C23×D411yescharacteristic
807C2×D73—21no—
808C2×D73—21no—
809C2×D73—21no—
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—21no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73C22×#4111yescharacteristic
832C4×C73#58511yescharacteristic
833Dic73—21no—
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—22no—
838Dic73—21no—
839Dic73—21no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61503—731nomaximal, Sylow
846C2×C73—42no—
847C2×C73—41no—
848C2×C73—81no—
849C2×C73D4×#4111yescharacteristic
850C2×C73#358511yescharacteristic
851C2×C73#358611yescharacteristic
852D73—41no—
853D73—41no—
854D73—81no—
855D73—81no—
856#3518—731no—
857#3513—731no—
858#3401—731no—
859#3385—731no—
860#3376—731no—
861#3375—731no—
862#3353—731no—
863#3349—731no—
864#3347—731no—
865#3327—731no—
866#3324—731no—
867#3320—731no—
868#3319—731no—
869#3311—731no—
870#3308—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3175—731no—
876#3172—731no—
877#3126—731no—
878#3124—731no—
879#3121—731no—
880#3118—731no—
881#3111—731no—
882#3110D7311yescharacteristic, complemented
883#2967—731no—
884#2949—731no—
885#2947—731no—
886C4×AGL(1,ℤ/8)—731no—
887C73#6150311yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892Q82—731no—
893#556—731no—
894#556—731no—
895#556—731no—
896#556—1461no—
897#556—1461no—
898#556—1461no—
899#555—731no—
900#555—1461no—
901#554—731no—
902#553—731no—
903#553—1461no—
904#552—731no—
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#542—731no—
918#542—1461no—
919#542—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#533—1461no—
924#533C2×D7311yescharacteristic, complemented
925#529—731no—
926#529—731no—
927#529—1461no—
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#519—731no—
932#519—731no—
933#518—731no—
934C4×#41—731no—
935C2×C4×D4C2×D7311yescharacteristic
936#501—731no—
937#501—731no—
938#500—731no—
939#497—731no—
940#496—731no—
941#495—731no—
942#491—731no—
943#489—731no—
944#489—731no—
945#489—731no—
946#488—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#485—731no—
951#484—731no—
952#484C2×D7311yescharacteristic, complemented
953#484C2×D7311yescharacteristic, complemented
954#482—731no—
955#482—731no—
956#482—731no—
957#482—731no—
958#482—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#478—731no—
964#477—731no—
965#477—731no—
966#476—731no—
967#475—731no—
968#474—731no—
969#474—731no—
970#474C2×D7311yescharacteristic
971#474C2×D7311yescharacteristic, complemented
972#470—731no—
973#470—731no—
974#469—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#468—731no—
980#467—731no—
981#466—731no—
982#466—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#464—731no—
987#464—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461C2×D7311yescharacteristic
993#461C2×D7311yescharacteristic, complemented
994#460—731no—
995#460—731no—
996#452—731no—
997#452—731no—
998#451—731no—
999#450—731no—
1000#450C2×D7311yescharacteristic
1001#450C2×D7311yescharacteristic
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#448—731no—
1007#447—731no—
1008#446—731no—
1009#446—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440C2×D7311yescharacteristic
1023#440C2×D7311yescharacteristic
1024#440C2×D7311yescharacteristic, complemented
1025#440C2×D7311yescharacteristic, complemented
1026C4×Q16—731no—
1027C4×Q16—731no—
1028C4×Q16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#436—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435—731no—
1044#433—731no—
1045#433—731no—
1046#432C2×D7311yescharacteristic, complemented
1047#428—731no—
1048#428—731no—
1049#427—731no—
1050#419—731no—
1051#418—731no—
1052#418—731no—
1053#417—731no—
1054#416—731no—
1055C2×#103—731no—
1056#405—731no—
1057#405—731no—
1058C4×M16—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—1461no—
1062C22×Q8—731no—
1063C22×Q8—731no—
1064C22×D4—731no—
1065C22×D4—1461no—
1066C22×D4C22×D7311yescharacteristic
1067C23×C4—21no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—1464no—
1080C2×SD16C22×D7311yescharacteristic
1081C2×SD16C22×D7311yescharacteristic
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C2×M16—731no—
1090C2×M16—731no—
1091C22×C8—731no—
1092C22×C8—731no—
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—1461no—
1097C4⋊Q8—1461no—
1098C4⋊Q8—1461no—
1099C4⋊Q8—1461no—
1100C4⋊Q8C22×D7311yescharacteristic
1101C4⋊Q8C22×D7311yescharacteristic
1102#127—731no—
1103#126—731no—
1104#126—731no—
1105#126—1461no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#125—21no—
1118#125—731no—
1119#125—731no—
1120#125—731no—
1121#125—1461no—
1122#124—731no—
1123#124—731no—
1124#124—731no—
1125#124—731no—
1126#124—731no—
1127#124—1461no—
1128#124—1461no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#123—731no—
1138#123—731no—
1139#123—1461no—
1140#123—1461no—
1141#123—1461no—
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—
1153C22⋊Q8—21no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—21no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×Q8—1461no—
1210C4×Q8C22×D7311yescharacteristic
1211C4×Q8C22×D7311yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4C22×D7311yescharacteristic
1236C4×D4C22×D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—731no—
1245#117—731no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
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—1461no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4C22×D7311yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—1461no—
1266C2×C42C22×D7311yescharacteristic
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107C22×D7311yescharacteristic
1274#107C22×D7311yescharacteristic
1275#107C22×D7311yescharacteristic
1276#107C22×D7311yescharacteristic
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106—731no—
1282#106—731no—
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8C22×D7311yescharacteristic
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331#97C22×D7311yescharacteristic
1332#97C22×D7311yescharacteristic
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8—731no—
1337C24—21no—
1338C24—1461no—
1339#41—2921no—
1340#41—2921no—
1341#41—5842no—
1342#41—1462no—
1343#41—1462no—
1344C2×Q8—21no—
1345C2×Q8—2921no—
1346C2×Q8—2921no—
1347C2×Q8—731no—
1348C2×Q8—731no—
1349C2×Q8—731no—
1350C2×Q8—1461no—
1351C2×Q8—1461no—
1352C2×Q8—1461no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1462no—
1356C2×Q8—1462no—
1357C2×Q8C23×D7311yescharacteristic
1358C2×Q8C23×D7311yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—2921no—
1363C2×D4—5842no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—731no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1462no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4C23×D7311yescharacteristic
1382C2×D4C23×D7311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—82no—
1389C22×C4—731no—
1390C22×C4—731no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4D4×D7311yescharacteristic
1403C22×C4D4×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—1462no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—22no—
1410SD16—41no—
1411SD16—41no—
1412SD16—2921no—
1413SD16—2921no—
1414SD16—734no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—2921no—
1422M16—2921no—
1423M16—1462no—
1424M16—1462no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—731no—
1488C22⋊C4—731no—
1489C22⋊C4—731no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C42—21no—
1526C42—21no—
1527C42—731no—
1528C42—731no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42D4×D7311yescharacteristic
1542C42D4×D7311yescharacteristic
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—42no—
1549C23—81no—
1550C23—2922no—
1551C23—5841no—
1552C23—5841no—
1553C23—731no—
1554C23—731no—
1555C23—1461no—
1556C23—1461no—
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—2921no—
1564Q8—2922no—
1565Q8—2922no—
1566Q8—5841no—
1567Q8—5841no—
1568Q8—5841no—
1569Q8—732no—
1570Q8—1461no—
1571Q8—1461no—
1572Q8—1461no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—42no—
1577D4—2921no—
1578D4—2922no—
1579D4—2922no—
1580D4—2922no—
1581D4—2922no—
1582D4—2921no—
1583D4—2921no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—5841no—
1591D4—1461no—
1592D4—1461no—
1593D4—1461no—
1594D4—1461no—
1595D4#41×D7312yes—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—42no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—2922no—
1615C2×C4—2922no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—731no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—1461no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4C2×D4×D7311yescharacteristic
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—732no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—84no—
1662C22—2921no—
1663C22—2921no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—11682no—
1669C22—1461no—
1670C22—1461no—
1671C22—1461no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—1462no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942311yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—2921no—
1705C2—2921no—
1706C2—5841no—
1707C2—5841no—
1708C2#2262341411yescharacteristic
1709C2#2262470711yescharacteristic
1710C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3110C2
socleC22×C73C23×D4
hypercenter#3110D73
hypocenterC73#61503
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3110

Complements

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

NH ≅ G/Ntype
1. #22623940C2semidirect
2. #22623871C2semidirect
3. #22623004C2semidirect
4. #22622836C2semidirect
5. #22622751C2semidirect
6. #22622748C2semidirect
7. #22622508C2semidirect
8. #22622454C2semidirect
9. #22622438C2semidirect
10. #22622202C2semidirect
11. #22622155C2semidirect
12. #22622109C2semidirect
13. #22622084C2semidirect
14. #22621960C2semidirect
15. #22621925C2semidirect
16. #22621566C2semidirect
17. #22621447C2semidirect
18. #22621424C2semidirect
19. #22620612C2semidirect
20. #22620568C2semidirect
21. #22620531C2semidirect
22. #22620221C2semidirect
23. #22620197C2semidirect
24. #22620158C2semidirect
25. #22620119C2semidirect
26. #22620042C2semidirect
27. #22618911C2semidirect
28. #22618787C2semidirect
29. #22618771C2semidirect
30. C4×#14556617C2semidirect
31. C73×#3110C2semidirect
36. #17989317C22semidirect
37. #17989311C22semidirect
41. #17989308C22semidirect
43. #17989303C22semidirect
51. #17989252C22semidirect
53. #17989247C22semidirect
59. #17989209C22semidirect
60. #17989209C22semidirect
74. #17989063C22semidirect
75. #17989063C22semidirect
77. C4×#11924028C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988991C22semidirect
81. #17988979C22semidirect
83. #17988968C22semidirect
84. #17988955C22semidirect
85. #17988949C22semidirect
86. #17988948C22semidirect
87. #17988945C22semidirect
88. #17988943C22semidirect
90. #17988930C22semidirect
91. #17988929C22semidirect
92. #17988926C22semidirect
93. #17988921C22semidirect
94. #17988914C22semidirect
95. #17988914C22semidirect
98. #17988909C22semidirect
99. #17988902C22semidirect
100. #17988896C22semidirect
101. #17988895C22semidirect
102. #17988893C22semidirect
103. #17988888C22semidirect
104. #17988881C22semidirect
105. #17988881C22semidirect
107. #17988870C22semidirect
108. #17988866C22semidirect
110. #17988843C22semidirect
111. #17988843C22semidirect
112. #17988839C22semidirect
113. #17988836C22semidirect
116. #17988834C22semidirect
118. #17988827C22semidirect
119. #17988824C22semidirect
121. #17988813C22semidirect
122. #17988812C22semidirect
123. #17988810C22semidirect
124. #17988808C22semidirect
125. #17988807C22semidirect
126. #17988805C22semidirect
129. #17988803C22semidirect
132. #17988751C22semidirect
134. #17988744C22semidirect
138. #17988727C22semidirect
140. #17988724C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
144. #17988700C22semidirect
146. #17988697C22semidirect
147. #17988695C22semidirect
148. #17988691C22semidirect
149. #17988689C22semidirect
150. #17988689C22semidirect
153. #17988687C22semidirect
154. #17988686C22semidirect
156. #17988681C22semidirect
157. C4×#11924018C22semidirect
158. C4×#11924018C22semidirect
161. C4×#11924015C22semidirect
162. C4×#11924015C22semidirect
164. C4×#11924016C22semidirect
165. #17988672C22semidirect
167. C4×#11924013C22semidirect
169. #17988662C22semidirect
171. #17988661C22semidirect
172. #17988657C22semidirect
173. #17988657C22semidirect
174. #17988649C22semidirect
175. #17988649C22semidirect
176. #17988628C22semidirect
177. #17988627C22semidirect
178. #17988624C22semidirect
179. #17988594C22semidirect
182. #17988586C22semidirect
184. #103×D73C22semidirect
185. #17988544C22semidirect
186. #17988544C22semidirect
187. C4×#11924012C22semidirect
188. #533×C73C22semidirect
190. #484×C73C22semidirect
191. #484×C73C22semidirect
193. #474×C73C22semidirect
195. #461×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
537. #11924016#41semidirect
882. #3110D73semidirect
887. C73#61503semidirect
924. #533C2×D73semidirect
952. #484C2×D73semidirect
953. #484C2×D73semidirect
971. #474C2×D73semidirect
993. #461C2×D73semidirect
1024. #440C2×D73semidirect
1025. #440C2×D73semidirect
1046. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239402
#226238712
#226230042
#226228362
#226227512
#226227482
#226225082
#226224542
#226224382
#226222022
#226221552
#226221092
#226220842
#226219602
#226219252
#226215662
#226214472
#226214242
#226206122
#226205682
#226205312
#226202212
#226201972
#226201582
#226201192
#226200422
#226189112
#226187872
#226187712
C4×#145566172
C73×#31102
#6150373