Finite Group Databasebeta

← #33979391

Subgroups — #33979391

Order 18688.

1856 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#22624511C211yesmaximal, characteristic, complemented
2#22623887C211yesmaximal, characteristic, complemented
3#22623014C211yesmaximal, characteristic, complemented
4#22622990C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622652C211yesmaximal, characteristic, complemented
7#22622123C211yesmaximal, characteristic, complemented
8#22622093C211yesmaximal, characteristic, complemented
9#22621994C211yesmaximal, characteristic, complemented
10#22621964C211yesmaximal, characteristic, complemented
11#22621876C211yesmaximal, characteristic, complemented
12#22621854C211yesmaximal, characteristic, complemented
13#22621645C211yesmaximal, characteristic, complemented
14#22621619C211yesmaximal, characteristic, complemented
15#22621468C211yesmaximal, characteristic, complemented
16#22621453C211yesmaximal, characteristic, complemented
17#22621421C211yesmaximal, characteristic, complemented
18#22621406C211yesmaximal, characteristic, complemented
19#22621361C211yesmaximal, characteristic, complemented
20#22621346C211yesmaximal, characteristic, complemented
21#22621037C211yesmaximal, characteristic, complemented
22#22621024C211yesmaximal, characteristic, complemented
23#22620922C211yesmaximal, characteristic, complemented
24#22620185C211yesmaximal, characteristic, complemented
25#22620176C211yesmaximal, characteristic, complemented
26#22620034C211yesmaximal, characteristic, complemented
27#22619441C211yesmaximal, characteristic, complemented
28#22619432C211yesmaximal, characteristic, complemented
29#22619388C211yesmaximal, characteristic, complemented
30#22619067C211yesmaximal, characteristic, complemented
31C73×#3247C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556613C2211yescharacteristic
35C2×#14556613C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic
38#17989334—21no—
39#17989327—21no—
40#17989323C2211yescharacteristic, complemented
41#17989320C2211yescharacteristic, complemented
42#17989311C2211yescharacteristic
43#17989309C2211yescharacteristic, complemented
44#17989301C2211yescharacteristic
45#17989301C2211yescharacteristic, complemented
46#17989281—21no—
47#17989266—21no—
48#17989266—21no—
49#17989261—21no—
50#17989255C2211yescharacteristic, complemented
51#17989252C2211yescharacteristic, complemented
52#17989249C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989244—21no—
55#17989239C2211yescharacteristic, complemented
56#17989234C2211yescharacteristic
57#17989234C2211yescharacteristic, complemented
58#17989234C2211yescharacteristic, complemented
59#17989232C2211yescharacteristic
60#17989225—21no—
61#17989222C2211yescharacteristic
62#17989202C2211yescharacteristic
63#17989202C2211yescharacteristic, complemented
64#17989200C2211yescharacteristic, complemented
65#17989193C2211yescharacteristic, complemented
66#17989188—21no—
67#17989178—21no—
68#17989176—21no—
69#17989170—21no—
70#17989169—21no—
71#17989169—21no—
72#17989157C2211yescharacteristic, complemented
73#17989155C2211yescharacteristic, complemented
74#17989137C2211yescharacteristic, complemented
75#17989121C2211yescharacteristic
76#17989116—21no—
77#124×D73—21no—
78#17989059C2211yescharacteristic
79#17989059C2211yescharacteristic, complemented
80C4×#11924028C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988974C2211yescharacteristic
84#17988974C2211yescharacteristic, complemented
85#17988970C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988948C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic, complemented
93#17988931C2211yescharacteristic, complemented
94#17988930C2211yescharacteristic, complemented
95#17988925C2211yescharacteristic, complemented
96#17988914C2211yescharacteristic, complemented
97#17988913C2211yescharacteristic, complemented
98#17988908C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988834C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic
109#17988829C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988817C2211yescharacteristic, complemented
112#17988815C2211yescharacteristic
113#17988810C2211yescharacteristic, complemented
114#17988810C2211yescharacteristic, complemented
115#17988808C2211yescharacteristic, complemented
116#17988808C2211yescharacteristic, complemented
117#17988806C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic
119#17988804C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic
121#17988803C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic
123#17988801C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic
127#17988798C2211yescharacteristic, complemented
128#17988793C2211yescharacteristic, complemented
129#17988792C2211yescharacteristic, complemented
130#17988792C2211yescharacteristic, complemented
131#17988791C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic, complemented
134#17988783C2211yescharacteristic
135#17988782C2211yescharacteristic, complemented
136#17988782C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic
138#17988780C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic, complemented
140#17988750C2211yescharacteristic, complemented
141#17988747C2211yescharacteristic, complemented
142#17988744C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic
144#17988739C2211yescharacteristic
145#17988739C2211yescharacteristic, complemented
146#17988731C2211yescharacteristic
147#17988730C2211yescharacteristic
148#17988730C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988730C2211yescharacteristic, complemented
152#17988729C2211yescharacteristic
153#17988724C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic
155#17988722C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988716C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988698C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic
161#17988696C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic
174#17988657C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988647C2211yescharacteristic, complemented
179#17988644C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988612C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988584C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic, complemented
190#478×C73C2211yescharacteristic, complemented
191#478×C73C2211yescharacteristic, complemented
192#477×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#463×C73C2211yescharacteristic, complemented
199#463×C73C2211yescharacteristic, complemented
200#460×C73C2211yescharacteristic, complemented
201#459×C73C2211yescharacteristic
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×Q8×D73—21no—
209C2×Q8×D73C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214#14556618—42no—
215#14556615—42no—
216#14556613—42no—
217#14556613—42no—
218C2×Dic292C2311yescharacteristic
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—42no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239D8×D73—42no—
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244#14556591C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556590C2311yescharacteristic
247#14556589C2311yescharacteristic
248#14556588C2311yescharacteristic
249#14556587—21no—
250#14556587C2311yescharacteristic
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556585—21no—
257#14556585D411yescharacteristic
258#14556585D411yescharacteristic
259#14556584—21no—
260#14556584—21no—
261#14556583D411yescharacteristic
262#14556582—21no—
263#14556582—21no—
264#14556580—21no—
265#14556580C2311yescharacteristic
266#14556579—21no—
267#14556579D411yescharacteristic
268#14556579C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556578—21no—
271#14556578—21no—
272#14556578—21no—
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556574—21no—
287#14556574—21no—
288#14556574—21no—
289#14556574D411yescharacteristic
290#14556574D411yescharacteristic
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573—21no—
298#14556572—21no—
299#14556572—21no—
300#14556571—21no—
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556571C2311yescharacteristic
305#14556570—21no—
306#14556570—21no—
307#14556570D411yescharacteristic
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556569—21no—
312#14556568—21no—
313#14556568—21no—
314#14556567—21no—
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556565—21no—
321#14556565—21no—
322#14556565—21no—
323#14556565D411yescharacteristic
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562C2311yescharacteristic
337#14556562C2311yescharacteristic
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346Q8×Dic73—21no—
347C4×Dic146C2311yescharacteristic
348C4×Dic146C2311yescharacteristic
349C4×Dic146C2311yescharacteristic
350#14556556C2311yescharacteristic
351#14556556C2311yescharacteristic
352C4×D292—21no—
353C4×D292—21no—
354C4×D292—21no—
355C4×D292C2311yescharacteristic
356C4×D292C2311yescharacteristic
357C4×D292C2311yescharacteristic
358D4×Dic73—21no—
359D4×Dic73C2311yescharacteristic
360D4×Dic73C2311yescharacteristic
361#14556553—21no—
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73C2311yescharacteristic
372C4×C22⋊D73C2311yescharacteristic
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556550C2311yescharacteristic
377#14556549C2311yescharacteristic
378#14556549C2311yescharacteristic
379#14556548—21no—
380#14556548—21no—
381#14556548C2311yescharacteristic
382#14556548C2311yescharacteristic
383#14556547—21no—
384#14556547—21no—
385C4⋊C4×D73—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C2×#11924005—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C42×D73—21no—
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73—21no—
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#127×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73C2311yescharacteristic
452#124×C73—21no—
453#124×C73C2311yescharacteristic
454#123×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
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
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467C2×C42×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×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—41no—
494#11924028—41no—
495#11924027—41no—
496#11924027—41no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504Q8×D73—41no—
505Q8×D73—41no—
506Q8×D73—82no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292C2×D411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
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⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73C2×D411yescharacteristic
528C2×C22⋊D73C2×D411yescharacteristic
529D4×D73—22no—
530D4×D73—22no—
531D4×D73—41no—
532D4×D73—41no—
533D4×D73—41no—
534D4×D73—41no—
535D4×D73—82no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—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—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73C2411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552Dic292—41no—
553Dic292—41no—
554#11924018—41no—
555#11924017—22no—
556#11924017—22no—
557#11924017—41no—
558#11924017—41no—
559#11924016—41no—
560#11924016—41no—
561#11924016—41no—
562#11924016—41no—
563#11924016—41no—
564#11924015—22no—
565D584—22no—
566D584—22no—
567#11924013—22no—
568#11924013—41no—
569#11924013—41no—
570#11924013—41no—
571#11924013—41no—
572#11924011—41no—
573#11924011—41no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C8×D73—41no—
579C8×D73—41no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
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
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
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⋊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#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
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×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2×D411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673SD16×C73—41no—
674SD16×C73—41no—
675D8×C73—41no—
676D8×C73—41no—
677C2×C8×C73—41no—
678C2×C8×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×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
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—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—42no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—42no—
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—41no—
746C2×C4×C73—41no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C2511yescharacteristic
756C22⋊D73—41no—
757C22⋊D73—41no—
758C22⋊D73—42no—
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—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—41no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292H(5,𝔽2)12yes—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810Dic146—21no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—41no—
817Dic146—81no—
818Dic146—81no—
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—41no—
832C22×C73—41no—
833C22×C73—41no—
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—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—22no—
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—162no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
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—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62011—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73#358411yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—41no—
892D73—42no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3514—731no—
897#3403—731no—
898#3401—731no—
899#3373—731no—
900#3367—731no—
901#3321—731no—
902#3319—731no—
903#3313—731no—
904#3311—731no—
905#3305—731no—
906#3303—731no—
907#3282—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3265—731no—
912#3264—731no—
913#3258—731no—
914#3257—731no—
915#3247D7311yescharacteristic, complemented
916#3225—731no—
917#3224—731no—
918#3214—731no—
919#3123—731no—
920#3122—731no—
921#3111—731no—
922#3042—731no—
923#3041—731no—
924#3035—731no—
925#2992—731no—
926C73#6201111yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×#135—731no—
930C2×#135—731no—
931C22×SD16—731no—
932C22×D8—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#556—731no—
939#555—731no—
940#555—731no—
941#553—1461no—
942#551—1461no—
943#551—1461no—
944#551—1461no—
945#550—731no—
946D4×Q8—731no—
947#548—731no—
948#548—731no—
949#548—1461no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#542—731no—
959#541—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#538—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#532C2×D7311yescharacteristic, complemented
971#529—731no—
972#529—1461no—
973#529C2×D7311yescharacteristic, complemented
974C2×#124—1461no—
975#518—731no—
976#518—731no—
977C4×#41—731no—
978#497—731no—
979#496—731no—
980#496—731no—
981#496—731no—
982#495—731no—
983#495—731no—
984#489—731no—
985#489—731no—
986#489—731no—
987#489—731no—
988#487—731no—
989#486—731no—
990#485—731no—
991#485—731no—
992#485—731no—
993#482—731no—
994#482—731no—
995#482—731no—
996#479—731no—
997#478—731no—
998#478C2×D7311yescharacteristic, complemented
999#478C2×D7311yescharacteristic, complemented
1000#477—731no—
1001#477C2×D7311yescharacteristic, complemented
1002#476—731no—
1003#476C2×D7311yescharacteristic, complemented
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#468—731no—
1009#468—731no—
1010#467—731no—
1011#466—731no—
1012#466C2×D7311yescharacteristic, complemented
1013#466C2×D7311yescharacteristic, complemented
1014#465—731no—
1015#465—731no—
1016#465C2×D7311yescharacteristic, complemented
1017#465C2×D7311yescharacteristic, complemented
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—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#463C2×D7311yescharacteristic, complemented
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#460C2×D7311yescharacteristic, complemented
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459C2×D7311yescharacteristic
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#451—731no—
1052#450—731no—
1053#450—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#448—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442—731no—
1070#442—731no—
1071#441—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435—731no—
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#432—731no—
1089#424—731no—
1090#424—731no—
1091C2×C4⋊C8C2×D7311yescharacteristic, complemented
1092#419—731no—
1093#418—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097#416—731no—
1098C2×#41—21no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—731no—
1104C22×Q8—731no—
1105C22×Q8—1461no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112#135—2922no—
1113#135—2922no—
1114C2×Q16—731no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×SD16—2922no—
1118C2×SD16—731no—
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×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×D8—2922no—
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—
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8C22×D7311yescharacteristic
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8C22×D7311yescharacteristic
1151#127—731no—
1152#127—731no—
1153#127—1461no—
1154#127C22×D7311yescharacteristic
1155#126—21no—
1156#126—731no—
1157#126—731no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125C22×D7311yescharacteristic
1170#124—21no—
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#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124C22×D7311yescharacteristic
1190#123—21no—
1191#123—731no—
1192#123—731no—
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—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—1461no—
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—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×Q8—1461no—
1266C4×Q8C22×D7311yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
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×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—21no—
1297#117—731no—
1298#117—731no—
1299#117—731no—
1300#117—731no—
1301#117—731no—
1302#117—1461no—
1303#117—1461no—
1304#117—1461no—
1305#117—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
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×C42—1461no—
1316C2×C42C22×D7311yescharacteristic
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1332C4⋊C8C22×D7311yescharacteristic
1333C4⋊C8C22×D7311yescharacteristic
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#103—731no—
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#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⋊C8—731no—
1372C22⋊C8—731no—
1373#97—731no—
1374#97—731no—
1375#97—731no—
1376#97—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—82no—
1383#41—2921no—
1384#41—2921no—
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—5842no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—731no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8—1461no—
1404C2×Q8C23×D7311yescharacteristic
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—2921no—
1413C2×D4—2921no—
1414C2×D4—5842no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1462no—
1430C2×D4—1462no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
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×C4D4×D7311yescharacteristic
1462C22×C4D4×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—41no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490C2×C8—41no—
1491C2×C8—41no—
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—731no—
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⋊C4C23×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C4⋊C4C23×D7311yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—1461no—
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—
1587C42—21no—
1588C42—731no—
1589C42—731no—
1590C42—1461no—
1591C42—1461no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42D4×D7311yescharacteristic
1598C42D4×D7311yescharacteristic
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—2922no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—731no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—42no—
1622Q8—2921no—
1623Q8—5841no—
1624Q8—5841no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631Q8—1461no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—42no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—2921no—
1644D4—2922no—
1645D4—2921no—
1646D4—2921no—
1647D4—2922no—
1648D4—2922no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—732no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666D4—1461no—
1667D4—1461no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—5841no—
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—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
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—41no—
1727C22—41no—
1728C22—41no—
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—11682no—
1744C22—11682no—
1745C22—11682no—
1746C22—1462no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942411yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—2922no—
1782C2—2921no—
1783C2—2921no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359511yescharacteristic
1787C2#2262470011yescharacteristic
1788C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3247C2
socleC22×C73C23×D4
hypercenter#3247D73
hypocenterC73#62011
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3247

Complements

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

NH ≅ G/Ntype
1. #22624511C2semidirect
2. #22623887C2semidirect
3. #22623014C2semidirect
4. #22622990C2semidirect
5. #22622726C2semidirect
6. #22622652C2semidirect
7. #22622123C2semidirect
8. #22622093C2semidirect
9. #22621994C2semidirect
10. #22621964C2semidirect
11. #22621876C2semidirect
12. #22621854C2semidirect
13. #22621645C2semidirect
14. #22621619C2semidirect
15. #22621468C2semidirect
16. #22621453C2semidirect
17. #22621421C2semidirect
18. #22621406C2semidirect
19. #22621361C2semidirect
20. #22621346C2semidirect
21. #22621037C2semidirect
22. #22621024C2semidirect
23. #22620922C2semidirect
24. #22620185C2semidirect
25. #22620176C2semidirect
26. #22620034C2semidirect
27. #22619441C2semidirect
28. #22619432C2semidirect
29. #22619388C2semidirect
30. #22619067C2semidirect
31. C73×#3247C2semidirect
35. C2×#14556613C22semidirect
36. C2×SD16×D73C22semidirect
40. #17989323C22semidirect
41. #17989320C22semidirect
43. #17989309C22semidirect
45. #17989301C22semidirect
50. #17989255C22semidirect
51. #17989252C22semidirect
53. #17989247C22semidirect
55. #17989239C22semidirect
57. #17989234C22semidirect
58. #17989234C22semidirect
63. #17989202C22semidirect
64. #17989200C22semidirect
65. #17989193C22semidirect
72. #17989157C22semidirect
73. #17989155C22semidirect
74. #17989137C22semidirect
79. #17989059C22semidirect
80. C4×#11924028C22semidirect
81. #17988978C22semidirect
82. #17988975C22semidirect
84. #17988974C22semidirect
85. #17988970C22semidirect
86. #17988968C22semidirect
87. #17988949C22semidirect
88. #17988949C22semidirect
89. #17988948C22semidirect
90. #17988945C22semidirect
91. #17988936C22semidirect
92. #17988932C22semidirect
93. #17988931C22semidirect
94. #17988930C22semidirect
95. #17988925C22semidirect
96. #17988914C22semidirect
97. #17988913C22semidirect
98. #17988908C22semidirect
99. #17988891C22semidirect
100. #17988884C22semidirect
101. #17988881C22semidirect
102. #17988876C22semidirect
103. #17988871C22semidirect
104. #17988866C22semidirect
105. #17988846C22semidirect
107. #17988834C22semidirect
109. #17988829C22semidirect
110. #17988822C22semidirect
111. #17988817C22semidirect
113. #17988810C22semidirect
114. #17988810C22semidirect
115. #17988808C22semidirect
116. #17988808C22semidirect
117. #17988806C22semidirect
119. #17988804C22semidirect
121. #17988803C22semidirect
123. #17988801C22semidirect
124. #17988801C22semidirect
125. #17988800C22semidirect
127. #17988798C22semidirect
128. #17988793C22semidirect
129. #17988792C22semidirect
130. #17988792C22semidirect
131. #17988791C22semidirect
132. #17988790C22semidirect
133. #17988788C22semidirect
135. #17988782C22semidirect
136. #17988782C22semidirect
138. #17988780C22semidirect
139. #17988752C22semidirect
140. #17988750C22semidirect
141. #17988747C22semidirect
142. #17988744C22semidirect
145. #17988739C22semidirect
148. #17988730C22semidirect
149. #17988730C22semidirect
150. #17988730C22semidirect
151. #17988730C22semidirect
153. #17988724C22semidirect
155. #17988722C22semidirect
157. #17988716C22semidirect
158. #17988716C22semidirect
159. #17988698C22semidirect
161. #17988696C22semidirect
162. #17988692C22semidirect
163. #17988687C22semidirect
164. #17988686C22semidirect
165. #17988685C22semidirect
166. #17988684C22semidirect
167. #17988678C22semidirect
168. #17988674C22semidirect
170. #17988667C22semidirect
171. #17988658C22semidirect
172. #17988658C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988647C22semidirect
178. #17988647C22semidirect
179. #17988644C22semidirect
180. #17988612C22semidirect
181. #17988612C22semidirect
182. #17988594C22semidirect
183. #17988590C22semidirect
184. #17988584C22semidirect
185. #17988584C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
188. #532×C73C22semidirect
189. #529×C73C22semidirect
190. #478×C73C22semidirect
191. #478×C73C22semidirect
192. #477×C73C22semidirect
193. #476×C73C22semidirect
194. #466×C73C22semidirect
195. #466×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #463×C73C22semidirect
199. #463×C73C22semidirect
200. #460×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
915. #3247D73semidirect
926. C73#62011semidirect
970. #532C2×D73semidirect
973. #529C2×D73semidirect
998. #478C2×D73semidirect
999. #478C2×D73semidirect
1001. #477C2×D73semidirect
1003. #476C2×D73semidirect
1012. #466C2×D73semidirect
1013. #466C2×D73semidirect
1016. #465C2×D73semidirect
1017. #465C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1041. #460C2×D73semidirect
1091. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245112
#226238872
#226230142
#226229902
#226227262
#226226522
#226221232
#226220932
#226219942
#226219642
#226218762
#226218542
#226216452
#226216192
#226214682
#226214532
#226214212
#226214062
#226213612
#226213462
#226210372
#226210242
#226209222
#226201852
#226201762
#226200342
#226194412
#226194322
#226193882
#226190672
C73×#32472
#6201173