Finite Group Databasebeta

← #33979786

Subgroups — #33979786

Order 18688.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624522C211yesmaximal, characteristic, complemented
2#22623878C211yesmaximal, characteristic, complemented
3#22622993C211yesmaximal, characteristic, complemented
4#22622938C211yesmaximal, characteristic, complemented
5#22622690C211yesmaximal, characteristic, complemented
6#22622583C211yesmaximal, characteristic, complemented
7#22622232C211yesmaximal, characteristic, complemented
8#22622195C211yesmaximal, characteristic, complemented
9#22622055C211yesmaximal, characteristic, complemented
10#22621890C211yesmaximal, characteristic, complemented
11#22621775C211yesmaximal, characteristic, complemented
12#22621639C211yesmaximal, characteristic, complemented
13#22621548C211yesmaximal, characteristic, complemented
14#22621543C211yesmaximal, characteristic, complemented
15#22621539C211yesmaximal, characteristic, complemented
16#22621449C211yesmaximal, characteristic, complemented
17#22621419C211yesmaximal, characteristic, complemented
18#22621373C211yesmaximal, characteristic, complemented
19#22621343C211yesmaximal, characteristic, complemented
20#22621334C211yesmaximal, characteristic, complemented
21#22621038C211yesmaximal, characteristic, complemented
22#22620979C211yesmaximal, characteristic, complemented
23#22620908C211yesmaximal, characteristic, complemented
24#22620170C211yesmaximal, characteristic, complemented
25#22620148C211yesmaximal, characteristic, complemented
26#22619982C211yesmaximal, characteristic, complemented
27#22619469C211yesmaximal, characteristic, complemented
28#22619442C211yesmaximal, characteristic, complemented
29#22619393C211yesmaximal, characteristic, complemented
30#22619075C211yesmaximal, characteristic, complemented
31C73×#3326C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic
37C22×#11924015C2211yescharacteristic, complemented
38#17989333—21no—
39#17989325—21no—
40#17989320C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989309C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989287—21no—
45#17989286—21no—
46#17989276C2211yescharacteristic, complemented
47#17989267—21no—
48#17989265—21no—
49#17989262—21no—
50#17989255C2211yescharacteristic
51#17989248C2211yescharacteristic
52#17989238C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989234—21no—
55#17989234C2211yescharacteristic
56#17989233C2211yescharacteristic
57#17989233C2211yescharacteristic, complemented
58#17989228C2211yescharacteristic, complemented
59#17989221C2211yescharacteristic, complemented
60#17989204C2211yescharacteristic, complemented
61#17989197C2211yescharacteristic, complemented
62#17989190C2211yescharacteristic
63#17989190C2211yescharacteristic, complemented
64#17989188—21no—
65#17989186—21no—
66#17989178—21no—
67#17989171—21no—
68#17989169—21no—
69#17989169—21no—
70#17989161C2211yescharacteristic, complemented
71#17989151C2211yescharacteristic, complemented
72#17989136C2211yescharacteristic, complemented
73#17989124C2211yescharacteristic, complemented
74#17989122C2211yescharacteristic, complemented
75#17989119C2211yescharacteristic
76#17989096—21no—
77#123×D73—21no—
78#17989068C2211yescharacteristic
79#17989061C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988971C2211yescharacteristic, complemented
84#17988969C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic
87#17988950C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic
107#17988836C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic
112#17988818C2211yescharacteristic, complemented
113#17988814C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic
119#17988805C2211yescharacteristic
120#17988805C2211yescharacteristic
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic
125#17988803C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988796C2211yescharacteristic, complemented
131#17988791C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic, complemented
135#17988790C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988786C2211yescharacteristic, complemented
139#17988785C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic
141#17988781C2211yescharacteristic
142#17988781C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988752C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic
146#17988751C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic
149#17988743C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic
152#17988733C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic
155#17988723C2211yescharacteristic
156#17988723C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic
158#17988720C2211yescharacteristic, complemented
159#17988720C2211yescharacteristic, complemented
160#17988717C2211yescharacteristic, complemented
161#17988711C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988693C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167C4×#11924015C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169C4×D584C2211yescharacteristic
170#17988669C2211yescharacteristic
171C4×#11924013C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988663C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988655C2211yescharacteristic, complemented
177D4×#10596831C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988645C2211yescharacteristic, complemented
180#17988638C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988615C2211yescharacteristic, complemented
183#17988609C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186#17988581C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#548×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556619—42no—
214#14556619—42no—
215#14556618—42no—
216#14556615—42no—
217#14556611—42no—
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015—42no—
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556589C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556587—21no—
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584D411yescharacteristic
260#14556584D411yescharacteristic
261#14556583—21no—
262#14556582—21no—
263#14556582D411yescharacteristic
264#14556582C2311yescharacteristic
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556580—21no—
268#14556580C2311yescharacteristic
269#14556580C2311yescharacteristic
270#14556580C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556579C2311yescharacteristic
273#14556578—21no—
274#14556578D411yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556575—21no—
285#14556575—21no—
286#14556575—21no—
287#14556574—21no—
288#14556574—21no—
289#14556574—21no—
290#14556574—21no—
291#14556574—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573—21no—
298#14556573D411yescharacteristic
299#14556573D411yescharacteristic
300#14556572—21no—
301#14556572—21no—
302#14556571—21no—
303#14556571D411yescharacteristic
304#14556571C2311yescharacteristic
305#14556570C2311yescharacteristic
306#14556570C2311yescharacteristic
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556568—21no—
312#14556567—21no—
313#14556567—21no—
314#14556567—21no—
315#14556567C2311yescharacteristic
316#14556566—21no—
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556565—21no—
320#14556565—21no—
321#14556565—21no—
322#14556565C2311yescharacteristic
323#14556565C2311yescharacteristic
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562D411yescharacteristic
338#14556561—21no—
339#14556561—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346Q8×Dic73C2311yescharacteristic
347C4×Dic146C2311yescharacteristic
348#14556556C2311yescharacteristic
349#14556556C2311yescharacteristic
350#14556556C2311yescharacteristic
351C4×D292—21no—
352C4×D292—21no—
353C4×D292—21no—
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358#14556553—21no—
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73C2311yescharacteristic
371C4×C22⋊D73C2311yescharacteristic
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556550C2311yescharacteristic
378#14556550C2311yescharacteristic
379#14556549—21no—
380#14556549—21no—
381#14556548—21no—
382#14556548—21no—
383#14556548—21no—
384C2×#11924007—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C2×M16×C73C2311yescharacteristic
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#124×C73—21no—
451#124×C73C2311yescharacteristic
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73—21no—
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—41no—
488#11924029—41no—
489#11924028—22no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924028—82no—
494#11924027—41no—
495#11924027—41no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—41no—
507C2×D292—41no—
508C2×D292—41no—
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73C2×D411yescharacteristic
526C2×C22⋊D73C2×D411yescharacteristic
527D4×D73—22no—
528D4×D73—41no—
529D4×D73—82no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—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—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—82no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549Dic292—41no—
550#11924018—41no—
551#11924018—41no—
552#11924017—22no—
553#11924017—41no—
554#11924017—41no—
555#11924017—41no—
556#11924016—41no—
557#11924016—41no—
558#11924015—22no—
559#11924015—22no—
560#11924015—41no—
561#11924015—41no—
562D584—22no—
563D584—22no—
564D584—41no—
565D584—41no—
566#11924013—22no—
567#11924013—41no—
568#11924013—41no—
569#11924013—41no—
570#11924011—41no—
571#11924011—41no—
572C2×#10596831—41no—
573C2×#10596831—41no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73C2×D411yescharacteristic
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618C22⋊Dic73C2×D411yescharacteristic
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654#41×C73—41no—
655#41×C73—41no—
656C2×Q8×C73—21no—
657C2×Q8×C73—41no—
658C2×Q8×C73—41no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73C2411yescharacteristic
673C22×C4×C73C2411yescharacteristic
674SD16×C73—41no—
675SD16×C73—41no—
676D8×C73—41no—
677M16×C73—41no—
678M16×C73—41no—
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—42no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—81no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—41no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—41no—
758C22⋊D73—41no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—21no—
792D292—42no—
793D292—42no—
794D292—81no—
795D292—81no—
796D292—81no—
797D292H(5,𝔽2)12yes—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—41no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—22no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C2×H(5,𝔽2)11yescharacteristic
870C4×C73#58511yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—21no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73#358411yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—42no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326D7311yescharacteristic, complemented
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—1461no—
940#553—1461no—
941#553C2×D7311yescharacteristic
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548C2×D7311yescharacteristic, complemented
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#541—731no—
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488C2×D7311yescharacteristic, complemented
989#487—731no—
990#484—731no—
991#484—731no—
992#483C2×D7311yescharacteristic, complemented
993#482—731no—
994#482C2×D7311yescharacteristic, complemented
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479C2×D7311yescharacteristic, complemented
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469C2×D7311yescharacteristic, complemented
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468C2×D7311yescharacteristic, complemented
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic, complemented
1060#448C2×D7311yescharacteristic, complemented
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16C2×D7311yescharacteristic, complemented
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436C2×D7311yescharacteristic, complemented
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419C2×D7311yescharacteristic, complemented
1093#417—731no—
1094#417—731no—
1095#417C2×D7311yescharacteristic, complemented
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8C22×D7311yescharacteristic
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—21no—
1154#126—731no—
1155#126—731no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#125C22×D7311yescharacteristic
1171#124—21no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—731no—
1186#123—731no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—21no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121C22×D7311yescharacteristic
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106C22×D7311yescharacteristic
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—5842no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—1461no—
1418C2×D4—1462no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1462no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4D4×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—5842no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—41no—
1468SD16—41no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—41no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—41no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4D4×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—731no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—2922no—
1604C23—2922no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—731no—
1613C23—1461no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—81no—
1624Q8—2921no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2921no—
1643D4—2921no—
1644D4—2922no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—732no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—2922no—
1681C2×C4—2921no—
1682C2×C4—2921no—
1683C2×C4—2922no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—5841no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—731no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—5844no—
1747C22—11682no—
1748C22—11682no—
1749C22—1462no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—2922no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359411yescharacteristic
1787C2#2262470411yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3326C2
socleC22×C73C23×D4
hypercenter#3326D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #22624522C2semidirect
2. #22623878C2semidirect
3. #22622993C2semidirect
4. #22622938C2semidirect
5. #22622690C2semidirect
6. #22622583C2semidirect
7. #22622232C2semidirect
8. #22622195C2semidirect
9. #22622055C2semidirect
10. #22621890C2semidirect
11. #22621775C2semidirect
12. #22621639C2semidirect
13. #22621548C2semidirect
14. #22621543C2semidirect
15. #22621539C2semidirect
16. #22621449C2semidirect
17. #22621419C2semidirect
18. #22621373C2semidirect
19. #22621343C2semidirect
20. #22621334C2semidirect
21. #22621038C2semidirect
22. #22620979C2semidirect
23. #22620908C2semidirect
24. #22620170C2semidirect
25. #22620148C2semidirect
26. #22619982C2semidirect
27. #22619469C2semidirect
28. #22619442C2semidirect
29. #22619393C2semidirect
30. #22619075C2semidirect
31. C73×#3326C2semidirect
35. C2×#14556615C22semidirect
37. C22×#11924015C22semidirect
40. #17989320C22semidirect
41. #17989319C22semidirect
42. #17989309C22semidirect
43. #17989293C22semidirect
46. #17989276C22semidirect
53. #17989236C22semidirect
57. #17989233C22semidirect
58. #17989228C22semidirect
59. #17989221C22semidirect
60. #17989204C22semidirect
61. #17989197C22semidirect
63. #17989190C22semidirect
70. #17989161C22semidirect
71. #17989151C22semidirect
72. #17989136C22semidirect
73. #17989124C22semidirect
74. #17989122C22semidirect
79. #17989061C22semidirect
80. C4×D4×D73C22semidirect
81. #17988978C22semidirect
83. #17988971C22semidirect
84. #17988969C22semidirect
85. #17988968C22semidirect
87. #17988950C22semidirect
88. #17988948C22semidirect
89. #17988944C22semidirect
90. #17988943C22semidirect
91. #17988936C22semidirect
92. #17988922C22semidirect
93. #17988921C22semidirect
94. #17988911C22semidirect
95. #17988907C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988893C22semidirect
99. #17988890C22semidirect
100. #17988886C22semidirect
101. #17988885C22semidirect
102. #17988884C22semidirect
103. #17988876C22semidirect
104. #17988865C22semidirect
105. #17988844C22semidirect
107. #17988836C22semidirect
108. #17988834C22semidirect
109. #17988833C22semidirect
110. #17988833C22semidirect
112. #17988818C22semidirect
113. #17988814C22semidirect
114. #17988814C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988809C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988804C22semidirect
125. #17988803C22semidirect
126. #17988802C22semidirect
127. #17988801C22semidirect
128. #17988800C22semidirect
129. #17988799C22semidirect
130. #17988796C22semidirect
131. #17988791C22semidirect
132. #17988791C22semidirect
133. #17988791C22semidirect
134. #17988791C22semidirect
135. #17988790C22semidirect
136. #17988786C22semidirect
137. #17988786C22semidirect
138. #17988786C22semidirect
139. #17988785C22semidirect
142. #17988781C22semidirect
143. #17988780C22semidirect
144. #17988752C22semidirect
146. #17988751C22semidirect
147. #17988750C22semidirect
149. #17988743C22semidirect
150. #17988736C22semidirect
152. #17988733C22semidirect
153. #17988732C22semidirect
156. #17988723C22semidirect
158. #17988720C22semidirect
159. #17988720C22semidirect
160. #17988717C22semidirect
161. #17988711C22semidirect
162. #17988698C22semidirect
163. #17988696C22semidirect
164. #17988693C22semidirect
165. #17988690C22semidirect
166. #17988679C22semidirect
167. C4×#11924015C22semidirect
168. #17988674C22semidirect
171. C4×#11924013C22semidirect
172. #17988667C22semidirect
173. #17988663C22semidirect
174. #17988663C22semidirect
175. #17988655C22semidirect
176. #17988655C22semidirect
177. D4×#10596831C22semidirect
178. #17988645C22semidirect
179. #17988645C22semidirect
180. #17988638C22semidirect
181. #17988615C22semidirect
182. #17988615C22semidirect
183. #17988609C22semidirect
184. #17988587C22semidirect
185. #17988585C22semidirect
186. #17988581C22semidirect
187. C2×#14556511C22semidirect
189. #548×C73C22semidirect
190. #488×C73C22semidirect
191. #483×C73C22semidirect
192. #482×C73C22semidirect
193. #479×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. #436×C73C22semidirect
201. #419×C73C22semidirect
202. #417×C73C22semidirect
903. #3326D73semidirect
926. C73#62027semidirect
948. #548C2×D73semidirect
988. #488C2×D73semidirect
992. #483C2×D73semidirect
994. #482C2×D73semidirect
999. #479C2×D73semidirect
1008. #469C2×D73semidirect
1013. #468C2×D73semidirect
1033. #463C2×D73semidirect
1059. #449C2×D73semidirect
1060. #448C2×D73semidirect
1075. C4×SD16C2×D73semidirect
1082. #436C2×D73semidirect
1092. #419C2×D73semidirect
1095. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245222
#226238782
#226229932
#226229382
#226226902
#226225832
#226222322
#226221952
#226220552
#226218902
#226217752
#226216392
#226215482
#226215432
#226215392
#226214492
#226214192
#226213732
#226213432
#226213342
#226210382
#226209792
#226209082
#226201702
#226201482
#226199822
#226194692
#226194422
#226193932
#226190752
C73×#33262
#6202773