Finite Group Databasebeta

← #33979776

Subgroups — #33979776

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#22624513C211yesmaximal, characteristic, complemented
2#22623866C211yesmaximal, characteristic, complemented
3#22623002C211yesmaximal, characteristic, complemented
4#22622938C211yesmaximal, characteristic, complemented
5#22622683C211yesmaximal, characteristic, complemented
6#22622579C211yesmaximal, characteristic, complemented
7#22622230C211yesmaximal, characteristic, complemented
8#22622200C211yesmaximal, characteristic, complemented
9#22622187C211yesmaximal, characteristic, complemented
10#22622060C211yesmaximal, characteristic, complemented
11#22621777C211yesmaximal, characteristic, complemented
12#22621645C211yesmaximal, characteristic, complemented
13#22621548C211yesmaximal, characteristic, complemented
14#22621542C211yesmaximal, characteristic, complemented
15#22621538C211yesmaximal, characteristic, complemented
16#22621461C211yesmaximal, characteristic, complemented
17#22621429C211yesmaximal, characteristic, complemented
18#22621371C211yesmaximal, characteristic, complemented
19#22621341C211yesmaximal, characteristic, complemented
20#22621326C211yesmaximal, characteristic, complemented
21#22621041C211yesmaximal, characteristic, complemented
22#22620977C211yesmaximal, characteristic, complemented
23#22620904C211yesmaximal, characteristic, complemented
24#22620173C211yesmaximal, characteristic, complemented
25#22620148C211yesmaximal, characteristic, complemented
26#22619975C211yesmaximal, characteristic, complemented
27#22619475C211yesmaximal, characteristic, complemented
28#22619441C211yesmaximal, characteristic, complemented
29#22619394C211yesmaximal, characteristic, complemented
30#22619073C211yesmaximal, characteristic, complemented
31C73×#3306C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic, complemented
33C2×#14556617C2211yescharacteristic
34C2×#14556616C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C2×#14556613C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic, complemented
38#17989332—21no—
39#17989326—21no—
40#17989320C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989307C2211yescharacteristic, complemented
43#17989298C2211yescharacteristic, complemented
44#17989285C2211yescharacteristic
45#17989282—21no—
46#17989282—21no—
47#17989272C2211yescharacteristic, complemented
48#17989264—21no—
49#17989263—21no—
50#17989260—21no—
51#17989255C2211yescharacteristic
52#17989247C2211yescharacteristic, complemented
53#17989244C2211yescharacteristic
54#17989242C2211yescharacteristic, complemented
55#17989234C2211yescharacteristic
56#17989233C2211yescharacteristic
57#17989231C2211yescharacteristic, complemented
58#17989225—21no—
59#17989221C2211yescharacteristic, complemented
60#17989211C2211yescharacteristic, complemented
61#17989197C2211yescharacteristic, complemented
62#17989190—21no—
63#17989190C2211yescharacteristic
64#17989188C2211yescharacteristic, complemented
65#17989183—21no—
66#17989180—21no—
67#17989175—21no—
68#17989173—21no—
69#17989172—21no—
70#17989157C2211yescharacteristic, complemented
71#17989154C2211yescharacteristic, complemented
72#17989133C2211yescharacteristic, complemented
73#17989118C2211yescharacteristic, complemented
74#17989118C2211yescharacteristic, complemented
75#17989117C2211yescharacteristic
76#17989094—21no—
77#123×D73—21no—
78#17989068C2211yescharacteristic
79#17989059C2211yescharacteristic, complemented
80C2×#14556553C2211yescharacteristic, complemented
81#17988981C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988970C2211yescharacteristic, complemented
84#17988969C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic
87#17988950C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988940C2211yescharacteristic, complemented
91#17988939C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988845C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic
113#17988817C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic, complemented
115#17988808C2211yescharacteristic, complemented
116#17988808C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic
123#17988801C2211yescharacteristic
124#17988801C2211yescharacteristic
125#17988801C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic
130#17988796C2211yescharacteristic, complemented
131#17988793C2211yescharacteristic, complemented
132#17988792C2211yescharacteristic, 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#17988751C2211yescharacteristic
145#17988751C2211yescharacteristic, complemented
146#17988750C2211yescharacteristic, complemented
147#17988749C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic
149#17988744C2211yescharacteristic, complemented
150#17988740C2211yescharacteristic, complemented
151#17988734C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic
153#17988730C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic
159#17988719C2211yescharacteristic
160#17988715C2211yescharacteristic, complemented
161#17988711C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988693C2211yescharacteristic, complemented
164#17988690C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic
170C4×#11924013C2211yescharacteristic, complemented
171#17988667C2211yescharacteristic
172#17988667C2211yescharacteristic, complemented
173#17988665C2211yescharacteristic, complemented
174#17988663C2211yescharacteristic, complemented
175#17988662C2211yescharacteristic, complemented
176#17988661C2211yescharacteristic, complemented
177C8×C22⋊D73C2211yescharacteristic, complemented
178#17988649C2211yescharacteristic, complemented
179#17988645C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988613C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988610C2211yescharacteristic, complemented
184#17988594C2211yescharacteristic, complemented
185#17988586C2211yescharacteristic, complemented
186#17988586C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188#547×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556619—42no—
213#14556617—42no—
214#14556616—42no—
215#14556615—42no—
216#14556613—42no—
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—42no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924012C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556591C2311yescharacteristic
244#14556589C2311yescharacteristic
245#14556587—21no—
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586D411yescharacteristic
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584D411yescharacteristic
260#14556582—21no—
261#14556582C2311yescharacteristic
262#14556582C2311yescharacteristic
263#14556582C2311yescharacteristic
264#14556581—21no—
265#14556581—21no—
266#14556581D411yescharacteristic
267#14556580—21no—
268#14556580C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556578—21no—
271#14556578C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577D411yescharacteristic
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556575—21no—
283#14556575—21no—
284#14556575D411yescharacteristic
285#14556574—21no—
286#14556574—21no—
287#14556574—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556572—21no—
298#14556572—21no—
299#14556572—21no—
300#14556572D411yescharacteristic
301#14556571—21no—
302#14556571C2311yescharacteristic
303#14556570—21no—
304#14556570—21no—
305#14556570C2311yescharacteristic
306#14556570C2311yescharacteristic
307#14556570C2311yescharacteristic
308#14556569—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568D411yescharacteristic
312#14556567—21no—
313#14556567—21no—
314#14556567—21no—
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556565—21no—
318#14556565—21no—
319#14556565C2311yescharacteristic
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563D411yescharacteristic
331#14556562—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562C2311yescharacteristic
338#14556561—21no—
339#14556560—21no—
340#14556560—21no—
341#14556560—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345Q8×Dic73C2311yescharacteristic
346C4×Dic146C2311yescharacteristic
347#14556556C2311yescharacteristic
348#14556556C2311yescharacteristic
349#14556556C2311yescharacteristic
350#14556556C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73—21no—
354D4×Dic73—21no—
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357#14556553—21no—
358#14556553—21no—
359#14556553—21no—
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⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73C2311yescharacteristic
374C4×C22⋊D73C2311yescharacteristic
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556550—21no—
379#14556550—21no—
380#14556550C2311yescharacteristic
381#14556549—21no—
382#14556549C2311yescharacteristic
383#14556548C2311yescharacteristic
384#14556547—21no—
385#14556547—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73—21no—
389C2×C22⋊Dic73—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C2×C4×Dic73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556523C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73—21no—
442C2×#41×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×M16×C73C2311yescharacteristic
448C22×C8×C73C2311yescharacteristic
449C4⋊Q8×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453#123×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460#120×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—22no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924027—41no—
493#11924027—41no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—41no—
500Q8×D73—41no—
501C2×D292—22no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—22no—
525D4×D73—41no—
526D4×D73—82no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
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—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—82no—
544C2×C4×D73C2411yescharacteristic
545Dic292—41no—
546Dic292—41no—
547#11924018—41no—
548#11924017—22no—
549#11924017—22no—
550#11924017—41no—
551#11924017—41no—
552#11924017—41no—
553#11924016—41no—
554#11924016—41no—
555#11924016—41no—
556#11924016—41no—
557#11924015—22no—
558#11924015—41no—
559D584—22no—
560D584—41no—
561#11924013—22no—
562#11924013—22no—
563#11924013—41no—
564#11924013—41no—
565#11924013—41no—
566#11924012—41no—
567#11924012—41no—
568#11924011—41no—
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C8×D73—41no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73C2×D411yescharacteristic
619C22⋊Dic73C2×D411yescharacteristic
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C24×C73—21no—
654#41×C73—41no—
655#41×C73—41no—
656#41×C73—82no—
657C2×Q8×C73—21no—
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—41no—
665C2×D4×C73—41no—
666C2×D4×C73C2×D411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73C2411yescharacteristic
676C22×C4×C73C2411yescharacteristic
677SD16×C73—41no—
678D8×C73—41no—
679D8×C73—41no—
680M16×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—81no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—42no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—81no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—41no—
734D4×C73—42no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
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—42no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C2511yescharacteristic
758C22⋊D73—41no—
759C22⋊D73—41no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—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—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—41no—
779C2×Dic73—41no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790D292—21no—
791D292—21no—
792D292—21no—
793D292—21no—
794D292—21no—
795D292—42no—
796D292—81no—
797D292—81no—
798D292H(5,𝔽2)12yes—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—42no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—21no—
813Dic146—21no—
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×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—162no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—22no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—84no—
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×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—41no—
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—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—42no—
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#3326—731no—
904#3317—731no—
905#3306D7311yescharacteristic, complemented
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—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547C2×D7311yescharacteristic
951#546—731no—
952#546—731no—
953#546—731no—
954#546—1461no—
955#546C2×D7311yescharacteristic, complemented
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#489C2×D7311yescharacteristic, complemented
986#488—731no—
987#488—731no—
988#488—731no—
989#487—731no—
990#484—731no—
991#484—731no—
992#483C2×D7311yescharacteristic, complemented
993#482—731no—
994#482—731no—
995#481C2×D7311yescharacteristic, complemented
996#479—731no—
997#479—731no—
998#479—731no—
999#479—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476C2×D7311yescharacteristic, complemented
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469C2×D7311yescharacteristic
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465C2×D7311yescharacteristic, complemented
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
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447C2×D7311yescharacteristic, complemented
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442C2×D7311yescharacteristic, complemented
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435C2×D7311yescharacteristic, complemented
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417C2×D7311yescharacteristic, complemented
1096#416—731no—
1097C2×#102C2×D7311yescharacteristic, complemented
1098C2×#41—21no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
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×SD16—731no—
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×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—731no—
1154#126—731no—
1155#126—1461no—
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—731no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—731no—
1188#123—731no—
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—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121C22×D7311yescharacteristic
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—21no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×D4—731no—
1267C4×D4—731no—
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—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4C22×D7311yescharacteristic
1308C2×C4⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4—21no—
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#107—731no—
1321#106—731no—
1322#106C22×D7311yescharacteristic
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#103—731no—
1344#103—731no—
1345#103—731no—
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#102C22×D7311yescharacteristic
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—82no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—2921no—
1395C2×Q8—2921no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—5842no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—1462no—
1418C2×D4—1461no—
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—1462no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4D4×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—5842no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—41no—
1468SD16—2921no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—41no—
1480D8—41no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
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—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊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—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—2922no—
1608C23—2922no—
1609C23—2922no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—81no—
1622Q8—2921no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—2922no—
1643D4—2922no—
1644D4—2921no—
1645D4—2921no—
1646D4—2922no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—732no—
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—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—2922no—
1681C2×C4—2921no—
1682C2×C4—2921no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—1461no—
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—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—5844no—
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—2921no—
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—81no—
1782C2—2922no—
1783C2—2921no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359411yescharacteristic
1787C2#2262470311yescharacteristic
1788C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3306C2
socleC22×C73C23×D4
hypercenter#3306D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22624513C2semidirect
2. #22623866C2semidirect
3. #22623002C2semidirect
4. #22622938C2semidirect
5. #22622683C2semidirect
6. #22622579C2semidirect
7. #22622230C2semidirect
8. #22622200C2semidirect
9. #22622187C2semidirect
10. #22622060C2semidirect
11. #22621777C2semidirect
12. #22621645C2semidirect
13. #22621548C2semidirect
14. #22621542C2semidirect
15. #22621538C2semidirect
16. #22621461C2semidirect
17. #22621429C2semidirect
18. #22621371C2semidirect
19. #22621341C2semidirect
20. #22621326C2semidirect
21. #22621041C2semidirect
22. #22620977C2semidirect
23. #22620904C2semidirect
24. #22620173C2semidirect
25. #22620148C2semidirect
26. #22619975C2semidirect
27. #22619475C2semidirect
28. #22619441C2semidirect
29. #22619394C2semidirect
30. #22619073C2semidirect
31. C73×#3306C2semidirect
32. C2×#14556619C22semidirect
37. C2×SD16×D73C22semidirect
40. #17989320C22semidirect
41. #17989319C22semidirect
42. #17989307C22semidirect
43. #17989298C22semidirect
47. #17989272C22semidirect
52. #17989247C22semidirect
54. #17989242C22semidirect
57. #17989231C22semidirect
59. #17989221C22semidirect
60. #17989211C22semidirect
61. #17989197C22semidirect
64. #17989188C22semidirect
70. #17989157C22semidirect
71. #17989154C22semidirect
72. #17989133C22semidirect
73. #17989118C22semidirect
74. #17989118C22semidirect
79. #17989059C22semidirect
80. C2×#14556553C22semidirect
81. #17988981C22semidirect
83. #17988970C22semidirect
84. #17988969C22semidirect
85. #17988968C22semidirect
87. #17988950C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988940C22semidirect
91. #17988939C22semidirect
92. #17988922C22semidirect
93. #17988922C22semidirect
94. #17988913C22semidirect
95. #17988910C22semidirect
96. #17988897C22semidirect
97. #17988897C22semidirect
98. #17988897C22semidirect
99. #17988892C22semidirect
100. #17988889C22semidirect
101. #17988889C22semidirect
102. #17988886C22semidirect
103. #17988886C22semidirect
104. #17988864C22semidirect
105. #17988845C22semidirect
106. #17988841C22semidirect
107. #17988835C22semidirect
108. #17988832C22semidirect
109. #17988831C22semidirect
110. #17988831C22semidirect
111. #17988831C22semidirect
113. #17988817C22semidirect
114. #17988816C22semidirect
115. #17988808C22semidirect
116. #17988808C22semidirect
117. #17988808C22semidirect
118. #17988805C22semidirect
119. #17988805C22semidirect
120. #17988803C22semidirect
121. #17988802C22semidirect
125. #17988801C22semidirect
126. #17988801C22semidirect
127. #17988800C22semidirect
128. #17988800C22semidirect
130. #17988796C22semidirect
131. #17988793C22semidirect
132. #17988792C22semidirect
133. #17988791C22semidirect
134. #17988791C22semidirect
135. #17988790C22semidirect
136. #17988786C22semidirect
137. #17988786C22semidirect
138. #17988786C22semidirect
139. #17988785C22semidirect
142. #17988781C22semidirect
143. #17988780C22semidirect
145. #17988751C22semidirect
146. #17988750C22semidirect
147. #17988749C22semidirect
149. #17988744C22semidirect
150. #17988740C22semidirect
151. #17988734C22semidirect
153. #17988730C22semidirect
154. #17988730C22semidirect
155. #17988727C22semidirect
156. #17988722C22semidirect
157. #17988721C22semidirect
160. #17988715C22semidirect
161. #17988711C22semidirect
162. #17988700C22semidirect
163. #17988693C22semidirect
164. #17988690C22semidirect
165. #17988679C22semidirect
166. #17988674C22semidirect
167. #17988674C22semidirect
168. #17988674C22semidirect
170. C4×#11924013C22semidirect
172. #17988667C22semidirect
173. #17988665C22semidirect
174. #17988663C22semidirect
175. #17988662C22semidirect
176. #17988661C22semidirect
177. C8×C22⋊D73C22semidirect
178. #17988649C22semidirect
179. #17988645C22semidirect
180. #17988637C22semidirect
181. #17988613C22semidirect
182. #17988612C22semidirect
183. #17988610C22semidirect
184. #17988594C22semidirect
185. #17988586C22semidirect
186. #17988586C22semidirect
187. #17988580C22semidirect
189. #546×C73C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
192. #481×C73C22semidirect
193. #476×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
198. #447×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#102×C73C22semidirect
905. #3306D73semidirect
926. C73#62027semidirect
955. #546C2×D73semidirect
985. #489C2×D73semidirect
992. #483C2×D73semidirect
995. #481C2×D73semidirect
1004. #476C2×D73semidirect
1017. #465C2×D73semidirect
1033. #463C2×D73semidirect
1065. #447C2×D73semidirect
1069. #442C2×D73semidirect
1084. #435C2×D73semidirect
1095. #417C2×D73semidirect
1097. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245132
#226238662
#226230022
#226229382
#226226832
#226225792
#226222302
#226222002
#226221872
#226220602
#226217772
#226216452
#226215482
#226215422
#226215382
#226214612
#226214292
#226213712
#226213412
#226213262
#226210412
#226209772
#226209042
#226201732
#226201482
#226199752
#226194752
#226194412
#226193942
#226190732
C73×#33062
#6202773