Finite Group Databasebeta

← #33969109

Subgroups — #33969109

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624033C211yesmaximal, characteristic, complemented
2#22623966C211yesmaximal, characteristic, complemented
3#22622968C211yesmaximal, characteristic, complemented
4#22622883C211yesmaximal, characteristic, complemented
5#22622683C211yesmaximal, characteristic, complemented
6#22622661C211yesmaximal, characteristic, complemented
7#22622489C211yesmaximal, characteristic, complemented
8#22622431C211yesmaximal, characteristic, complemented
9#22622429C211yesmaximal, characteristic, complemented
10#22622180C211yesmaximal, characteristic, complemented
11#22622168C211yesmaximal, characteristic, complemented
12#22622074C211yesmaximal, characteristic, complemented
13#22621958C211yesmaximal, characteristic, complemented
14#22621933C211yesmaximal, characteristic, complemented
15#22621544C211yesmaximal, characteristic, complemented
16#22621427C211yesmaximal, characteristic, complemented
17#22621419C211yesmaximal, characteristic, complemented
18#22620609C211yesmaximal, characteristic, complemented
19#22620576C211yesmaximal, characteristic, complemented
20#22620529C211yesmaximal, characteristic, complemented
21#22620216C211yesmaximal, characteristic, complemented
22#22620170C211yesmaximal, characteristic, complemented
23#22620131C211yesmaximal, characteristic, complemented
24#22620118C211yesmaximal, characteristic, complemented
25#22620085C211yesmaximal, characteristic, complemented
26#22620068C211yesmaximal, characteristic, complemented
27#22618913C211yesmaximal, characteristic, complemented
28#22618786C211yesmaximal, characteristic, complemented
29#22618766C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#3321C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35#17989319—21no—
36#17989319C2211yescharacteristic, complemented
37#17989313C2211yescharacteristic, complemented
38#17989301—21no—
39#17989301C2211yescharacteristic, complemented
40#17989298C2211yescharacteristic
41#17989283—21no—
42#17989283C2211yescharacteristic, complemented
43#17989281—21no—
44#17989281C2211yescharacteristic
45#17989281C2211yescharacteristic
46#17989279—21no—
47#17989279C2211yescharacteristic, complemented
48#17989258C2211yescharacteristic
49#17989256C2211yescharacteristic, complemented
50#17989248C2211yescharacteristic, complemented
51#17989234—21no—
52#17989230—21no—
53#17989230—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989210—21no—
58#17989210C2211yescharacteristic, complemented
59#17989190—21no—
60#17989190C2211yescharacteristic
61#17989190C2211yescharacteristic
62#17989190C2211yescharacteristic, complemented
63#17989171—21no—
64#17989171—21no—
65#17989138C2211yescharacteristic
66#17989119—21no—
67#17989119C2211yescharacteristic
68#17989116—21no—
69#17989116C2211yescharacteristic, complemented
70#17989099—21no—
71#121×D73—21no—
72#17989070C2211yescharacteristic, complemented
73#17989065C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989061C2211yescharacteristic
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988916C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988906C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988888C2211yescharacteristic
105#17988887C2211yescharacteristic, complemented
106#17988886C2211yescharacteristic
107#17988876C2211yescharacteristic
108#17988866C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988836C2211yescharacteristic, complemented
115#17988836C2211yescharacteristic, complemented
116#17988835C2211yescharacteristic, complemented
117#17988823C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic, complemented
119#17988821C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic
121#17988805C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic
123#17988787C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988783C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic
129#17988781C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic, complemented
131#17988737C2211yescharacteristic
132#17988736C2211yescharacteristic
133#17988735C2211yescharacteristic, complemented
134#17988735C2211yescharacteristic, complemented
135#17988732C2211yescharacteristic, complemented
136#17988726C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic
138#17988723C2211yescharacteristic
139#17988720C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic
149#17988696C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic
151#17988690C2211yescharacteristic
152#17988690C2211yescharacteristic
153#17988690C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic
158SD16×Dic73C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic
160#17988672C2211yescharacteristic
161#17988672C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic, complemented
163#17988672C2211yescharacteristic, complemented
164#17988672C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180#17988623C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic
189#548×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C22×D292C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556618—24no—
214#14556616—24no—
215C2×#11924015—24no—
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233#14556590—21no—
234#14556590C2311yescharacteristic
235#14556588C2311yescharacteristic
236#14556587—21no—
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584D411yescharacteristic
247#14556584D411yescharacteristic
248#14556583—21no—
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582—21no—
252#14556582D411yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556580—21no—
257#14556580—21no—
258#14556580C2311yescharacteristic
259#14556578—21no—
260#14556578D411yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556575—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573D411yescharacteristic
279#14556573D411yescharacteristic
280#14556571—21no—
281#14556571—21no—
282#14556571D411yescharacteristic
283#14556567—21no—
284#14556567—21no—
285#14556567—21no—
286#14556567C2311yescharacteristic
287#14556566—21no—
288#14556566—21no—
289#14556566C2311yescharacteristic
290#14556566C2311yescharacteristic
291#14556565—21no—
292#14556565—21no—
293#14556565—21no—
294#14556565C2311yescharacteristic
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556562—21no—
310#14556562—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562D411yescharacteristic
314#14556562C2311yescharacteristic
315#14556561—21no—
316#14556561—21no—
317#14556561—21no—
318#14556561—21no—
319#14556559—21no—
320#14556559—21no—
321Q8×Dic73—21no—
322Q8×Dic73—21no—
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
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#14556551—21no—
363#14556550—21no—
364#14556550—21no—
365#14556550—21no—
366#14556550C2311yescharacteristic
367#14556550C2311yescharacteristic
368#14556550C2311yescharacteristic
369#14556549—21no—
370#14556549C2311yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374C2×C4⋊Dic73—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×Q8×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#124×C73—21no—
447#124×C73—21no—
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452#121×C73—21no—
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464#107×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#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—41no—
486#11924029—82no—
487#11924028—82no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×D292—22no—
491C2×D292—22no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—41no—
500C2×D292—41no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
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—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—22no—
520D4×D73—41no—
521D4×D73—82no—
522D4×D73—82no—
523D4×D73—82no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—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—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—82no—
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924015—22no—
545#11924015—22no—
546#11924015—22no—
547#11924015—22no—
548#11924015—41no—
549#11924015#4114yescomplemented
550D584—22no—
551D584—41no—
552D584—41no—
553#11924013—22no—
554#11924013—22no—
555#11924013—22no—
556#11924013—41no—
557#11924012—22no—
558#11924011—22no—
559#11924011—41no—
560C2×#10596831—22no—
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2×D411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
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⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
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×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73C2×D411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73C2411yescharacteristic
659C22×C4×C73C2411yescharacteristic
660SD16×C73—22no—
661SD16×C73—41no—
662D8×C73—41no—
663M16×C73—41no—
664C2×C8×C73—41no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
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—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—42no—
714Q8×C73—81no—
715Q8×C73C2×#4112yes—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—41no—
721D4×C73—42no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73—81no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—42no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C2511yescharacteristic
743C22⋊D73—41no—
744C22⋊D73—41no—
745C22⋊D73—42no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—81no—
762C2×Dic73—81no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—42no—
780D292—42no—
781D292—42no—
782D292—42no—
783D292—42no—
784D292—42no—
785D292—81no—
786D292C2×#4112yes—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—41no—
790C4×D73—41no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803Dic146—41no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—22no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—22no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73C22×#4111yescharacteristic
855C4×C73#58511yescharacteristic
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73D4×#4111yescharacteristic
873C2×C73#358511yescharacteristic
874C2×C73#358511yescharacteristic
875D73—41no—
876D73—42no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321D7311yescharacteristic, complemented
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—1461no—
920#555C2×D7311yescharacteristic
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548C2×D7311yescharacteristic, complemented
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489C2×D7311yescharacteristic, complemented
970#488—731no—
971#486—731no—
972#485C2×D7311yescharacteristic, complemented
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475C2×D7311yescharacteristic, complemented
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469C2×D7311yescharacteristic, complemented
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465C2×D7311yescharacteristic, complemented
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463C2×D7311yescharacteristic, complemented
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449C2×D7311yescharacteristic, complemented
1026#448—731no—
1027#448C2×D7311yescharacteristic, complemented
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435C2×D7311yescharacteristic, complemented
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419C2×D7311yescharacteristic, complemented
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416C2×D7311yescharacteristic, complemented
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—1461no—
1085C2×#41—1461no—
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8C22×D7311yescharacteristic
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—1464no—
1104C2×SD16C22×D7311yescharacteristic
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8C22×D7311yescharacteristic
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—1461no—
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125—1461no—
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124—731no—
1148#124—731no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124C22×D7311yescharacteristic
1156#123—731no—
1157#123—731no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—21no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8C22×D7311yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#103C22×D7311yescharacteristic
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—22no—
1365#41—41no—
1366#41—2921no—
1367#41—5842no—
1368#41—5842no—
1369#41—1462no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—731no—
1375C2×Q8—1461no—
1376C2×Q8C23×D7311yescharacteristic
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—2921no—
1383C2×D4—2921no—
1384C2×D4—2921no—
1385C2×D4—5842no—
1386C2×D4—5842no—
1387C2×D4—5842no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4D4×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—22no—
1445SD16—41no—
1446SD16—2921no—
1447SD16—734no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—41no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—41no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—41no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—2922no—
1575C23—2922no—
1576C23—2922no—
1577C23—2922no—
1578C23—5841no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—731no—
1584C23—1461no—
1585C23—1461no—
1586C23—1461no—
1587C23—1461no—
1588C23C2×D4×D7311yescharacteristic
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—42no—
1594Q8—81no—
1595Q8—2921no—
1596Q8—5841no—
1597Q8#41×D7312yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—42no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—2922no—
1608D4—2922no—
1609D4—2922no—
1610D4—2922no—
1611D4—2922no—
1612D4—2922no—
1613D4—2921no—
1614D4—2921no—
1615D4—2922no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—732no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2921no—
1652C2×C4—2921no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—732no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—5844no—
1717C22—11682no—
1718C22—11682no—
1719C22—1461no—
1720C22—1462no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—22no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942211yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—2922no—
1752C2—2921no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2#2262341511yescharacteristic
1757C2#2262470811yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3321C2
socleC22×C73C23×D4
hypercenter#3321D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #22624033C2semidirect
2. #22623966C2semidirect
3. #22622968C2semidirect
4. #22622883C2semidirect
5. #22622683C2semidirect
6. #22622661C2semidirect
7. #22622489C2semidirect
8. #22622431C2semidirect
9. #22622429C2semidirect
10. #22622180C2semidirect
11. #22622168C2semidirect
12. #22622074C2semidirect
13. #22621958C2semidirect
14. #22621933C2semidirect
15. #22621544C2semidirect
16. #22621427C2semidirect
17. #22621419C2semidirect
18. #22620609C2semidirect
19. #22620576C2semidirect
20. #22620529C2semidirect
21. #22620216C2semidirect
22. #22620170C2semidirect
23. #22620131C2semidirect
24. #22620118C2semidirect
25. #22620085C2semidirect
26. #22620068C2semidirect
27. #22618913C2semidirect
28. #22618786C2semidirect
29. #22618766C2semidirect
30. #22618736C2semidirect
31. C73×#3321C2semidirect
36. #17989319C22semidirect
37. #17989313C22semidirect
39. #17989301C22semidirect
42. #17989283C22semidirect
47. #17989279C22semidirect
49. #17989256C22semidirect
50. #17989248C22semidirect
58. #17989210C22semidirect
62. #17989190C22semidirect
69. #17989116C22semidirect
72. #17989070C22semidirect
73. #17989065C22semidirect
76. C4×#11924029C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988987C22semidirect
81. #17988977C22semidirect
82. #17988973C22semidirect
83. #17988962C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988950C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988916C22semidirect
90. #17988913C22semidirect
91. #17988913C22semidirect
92. #17988912C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
95. #17988908C22semidirect
96. #17988906C22semidirect
97. #17988899C22semidirect
98. #17988898C22semidirect
99. #17988896C22semidirect
100. #17988892C22semidirect
101. #17988892C22semidirect
102. #17988890C22semidirect
103. #17988889C22semidirect
105. #17988887C22semidirect
108. #17988866C22semidirect
109. #17988864C22semidirect
110. #17988840C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988838C22semidirect
114. #17988836C22semidirect
115. #17988836C22semidirect
116. #17988835C22semidirect
117. #17988823C22semidirect
118. #17988821C22semidirect
119. #17988821C22semidirect
121. #17988805C22semidirect
123. #17988787C22semidirect
124. #17988785C22semidirect
125. #17988785C22semidirect
126. #17988785C22semidirect
127. #17988783C22semidirect
129. #17988781C22semidirect
130. #17988780C22semidirect
133. #17988735C22semidirect
134. #17988735C22semidirect
135. #17988732C22semidirect
136. #17988726C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
144. #17988699C22semidirect
145. #17988698C22semidirect
146. #17988698C22semidirect
147. #17988697C22semidirect
149. #17988696C22semidirect
153. #17988690C22semidirect
154. #17988690C22semidirect
155. #17988690C22semidirect
156. #17988688C22semidirect
158. SD16×Dic73C22semidirect
161. #17988672C22semidirect
162. #17988672C22semidirect
163. #17988672C22semidirect
164. #17988672C22semidirect
167. #17988667C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988659C22semidirect
173. #17988658C22semidirect
174. #17988655C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988643C22semidirect
178. #17988630C22semidirect
179. #17988628C22semidirect
180. #17988623C22semidirect
183. #17988587C22semidirect
185. #17988545C22semidirect
186. #17988542C22semidirect
187. #17988539C22semidirect
189. #548×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
193. #475×C73C22semidirect
194. #469×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #419×C73C22semidirect
202. #416×C73C22semidirect
549. #11924015#41semidirect
891. #3321D73semidirect
911. C73#61504semidirect
932. #548C2×D73semidirect
969. #489C2×D73semidirect
972. #485C2×D73semidirect
980. #482C2×D73semidirect
993. #475C2×D73semidirect
1000. #469C2×D73semidirect
1007. #465C2×D73semidirect
1011. #463C2×D73semidirect
1025. #449C2×D73semidirect
1027. #448C2×D73semidirect
1049. #440C2×D73semidirect
1067. #435C2×D73semidirect
1074. #419C2×D73semidirect
1078. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240332
#226239662
#226229682
#226228832
#226226832
#226226612
#226224892
#226224312
#226224292
#226221802
#226221682
#226220742
#226219582
#226219332
#226215442
#226214272
#226214192
#226206092
#226205762
#226205292
#226202162
#226201702
#226201312
#226201182
#226200852
#226200682
#226189132
#226187862
#226187662
#226187362
C73×#33212
#6150473