Finite Group Databasebeta

← #33979254

Subgroups — #33979254

Order 18688.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624255C211yesmaximal, characteristic, complemented
2#22623870C211yesmaximal, characteristic, complemented
3#22623015C211yesmaximal, characteristic, complemented
4#22622686C211yesmaximal, characteristic, complemented
5#22622634C211yesmaximal, characteristic, complemented
6#22622077C211yesmaximal, characteristic, complemented
7#22621959C211yesmaximal, characteristic, complemented
8#22621944C211yesmaximal, characteristic, complemented
9#22621897C211yesmaximal, characteristic, complemented
10#22621771C211yesmaximal, characteristic, complemented
11#22621747C211yesmaximal, characteristic, complemented
12#22621611C211yesmaximal, characteristic, complemented
13#22621606C211yesmaximal, characteristic, complemented
14#22621470C211yesmaximal, characteristic, complemented
15#22621417C211yesmaximal, characteristic, complemented
16#22621410C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22621368C211yesmaximal, characteristic, complemented
19#22621339C211yesmaximal, characteristic, complemented
20#22621280C211yesmaximal, characteristic, complemented
21#22621020C211yesmaximal, characteristic, complemented
22#22620974C211yesmaximal, characteristic, complemented
23#22620945C211yesmaximal, characteristic, complemented
24#22620173C211yesmaximal, characteristic, complemented
25#22620136C211yesmaximal, characteristic, complemented
26#22620067C211yesmaximal, characteristic, complemented
27#22619467C211yesmaximal, characteristic, complemented
28#22619429C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3399C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic, complemented
38#17989325—21no—
39#17989325—21no—
40#17989322C2211yescharacteristic, complemented
41#17989297C2211yescharacteristic, complemented
42#17989287C2211yescharacteristic, complemented
43#17989282—21no—
44#17989278C2211yescharacteristic, complemented
45#17989267—21no—
46#17989266—21no—
47#17989257C2211yescharacteristic, complemented
48#17989242C2211yescharacteristic, complemented
49#17989232C2211yescharacteristic
50#17989232C2211yescharacteristic, complemented
51#17989230C2211yescharacteristic, complemented
52#17989230C2211yescharacteristic, complemented
53#17989229—21no—
54#17989225—21no—
55D4×D292C2211yescharacteristic, complemented
56#17989222C2211yescharacteristic
57#17989222C2211yescharacteristic, complemented
58#17989222C2211yescharacteristic, complemented
59#17989221—21no—
60#17989206C2211yescharacteristic, complemented
61#17989191C2211yescharacteristic, complemented
62#17989190—21no—
63#17989188C2211yescharacteristic, complemented
64#17989188C2211yescharacteristic, complemented
65#17989180—21no—
66#17989171—21no—
67#17989151—21no—
68#17989150C2211yescharacteristic, complemented
69#17989150C2211yescharacteristic, complemented
70#17989145—21no—
71#17989145—21no—
72#127×D73C2211yescharacteristic, complemented
73#17989124C2211yescharacteristic
74#17989119C2211yescharacteristic, complemented
75#17989116C2211yescharacteristic, complemented
76#17989096—21no—
77#123×D73—21no—
78#17989069C2211yescharacteristic, complemented
79#17989059C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988969C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988951C2211yescharacteristic, complemented
87#17988947C2211yescharacteristic, complemented
88#17988942C2211yescharacteristic, complemented
89#17988933C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988899C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988896C2211yescharacteristic, complemented
97#17988895C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988888C2211yescharacteristic, complemented
100#17988887C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988877C2211yescharacteristic, complemented
105#17988868C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic, complemented
108#17988837C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic
113#17988820C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988799C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988783C2211yescharacteristic
131#17988782C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988780C2211yescharacteristic, complemented
135#17988780C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic, complemented
137#17988780C2211yescharacteristic, complemented
138#17988779C2211yescharacteristic, complemented
139#17988779C2211yescharacteristic, complemented
140#17988779C2211yescharacteristic, complemented
141#17988779C2211yescharacteristic, complemented
142#17988746C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988736C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988719C2211yescharacteristic
154#17988719C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988718C2211yescharacteristic, complemented
161#17988700C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988652C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#493×C73C2211yescharacteristic, complemented
193#463×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#460×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×D292—21no—
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220#14556618—42no—
221#14556615—42no—
222#14556612—42no—
223C2×#11924018C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238D8×D73—42no—
239D8×D73—42no—
240D8×D73—42no—
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556591C2311yescharacteristic
248#14556588C2311yescharacteristic
249#14556587—21no—
250#14556587—21no—
251#14556587—21no—
252#14556587C2311yescharacteristic
253#14556587C2311yescharacteristic
254#14556586D411yescharacteristic
255#14556586D411yescharacteristic
256#14556585—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556583C2311yescharacteristic
262#14556583C2311yescharacteristic
263#14556582D411yescharacteristic
264#14556582C2311yescharacteristic
265#14556581—21no—
266#14556580—21no—
267#14556580D411yescharacteristic
268#14556579C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576D411yescharacteristic
276#14556576D411yescharacteristic
277#14556575—21no—
278#14556575—21no—
279#14556575—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556572—21no—
292#14556572—21no—
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556567—21no—
299#14556567D411yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556566D411yescharacteristic
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565—21no—
307#14556565—21no—
308#14556565—21no—
309#14556565—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562C2311yescharacteristic
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346#14556559—21no—
347#14556559—21no—
348#14556559—21no—
349Q8×Dic73C2311yescharacteristic
350C4×Dic146C2311yescharacteristic
351C4×D292—21no—
352C4×D292C2311yescharacteristic
353C4×D292C2311yescharacteristic
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356C4×D292C2311yescharacteristic
357C4×D292C2311yescharacteristic
358C4×D292C2311yescharacteristic
359C4×D292C2311yescharacteristic
360D4×Dic73—21no—
361D4×Dic73C2311yescharacteristic
362D4×Dic73C2311yescharacteristic
363#14556553—21no—
364#14556553—21no—
365#14556553C2311yescharacteristic
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556550—21no—
374#14556549C2311yescharacteristic
375#14556548—21no—
376#14556548—21no—
377#14556548C2311yescharacteristic
378#14556548C2311yescharacteristic
379#14556547—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C2×#11924005—21no—
385C2×#11924005—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C42×D73C2311yescharacteristic
392#14556525C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556523C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×#41×C73—21no—
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451#127×C73C2311yescharacteristic
452#127×C73C2311yescharacteristic
453#127×C73C2311yescharacteristic
454#127×C73C2311yescharacteristic
455#124×C73—21no—
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460#121×C73—21no—
461#121×C73—21no—
462#121×C73—21no—
463C4×Q8×C73C2311yescharacteristic
464C4×Q8×C73C2311yescharacteristic
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924029—22no—
491#11924029—41no—
492#11924028—82no—
493#11924027—41no—
494#11924027—41no—
495#11924027—41no—
496#11924027—41no—
497C2×Dic146—21no—
498C2×Dic146C2411yescharacteristic
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—82no—
505C2×D292C2×D411yescharacteristic
506C2×D292C2×D411yescharacteristic
507C2×D292C2×D411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
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⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530D4×D73—22no—
531D4×D73—22no—
532D4×D73—41no—
533D4×D73—41no—
534D4×D73—41no—
535D4×D73—41no—
536D4×D73—41no—
537D4×D73—41no—
538D4×D73—41no—
539D4×D73—41no—
540D4×D73—41no—
541D4×D73—41no—
542D4×D73—82no—
543D4×D73—82no—
544D4×D73—82no—
545D4×D73—82no—
546D4×D73—82no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—82no—
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566#11924018—41no—
567#11924017—22no—
568#11924016—41no—
569#11924016—41no—
570#11924015—41no—
571#11924015—41no—
572D584—22no—
573D584—22no—
574#11924013—22no—
575#11924013—22no—
576#11924013—22no—
577#11924013—41no—
578#11924013—41no—
579#11924013—41no—
580#11924013—41no—
581#11924011—41no—
582#11924011—41no—
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C2×#10596831C2411yescharacteristic
587C8×D73—41no—
588C8×D73—41no—
589C8×D73—41no—
590C8×D73—41no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73C2×D411yescharacteristic
596C4⋊Dic73C2×D411yescharacteristic
597C4⋊Dic73C2×D411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653C4×Dic73—21no—
654C4×Dic73—21no—
655C4×Dic73—21no—
656C4×Dic73C2×D411yescharacteristic
657C4×Dic73C2×D411yescharacteristic
658C4×Dic73C2411yescharacteristic
659#41×C73—82no—
660C2×Q8×C73C2×D411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73—21no—
668C2×D4×C73—21no—
669C2×D4×C73—21no—
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C2×D4×C73C2411yescharacteristic
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73—21no—
680SD16×C73—41no—
681SD16×C73—41no—
682SD16×C73—41no—
683D8×C73—41no—
684D8×C73—41no—
685D8×C73—41no—
686D8×C73—41no—
687D8×C73—41no—
688D8×C73—41no—
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C4⋊C4×C73—21no—
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2×D411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C42×C73—21no—
709C42×C73C2411yescharacteristic
710C42×C73C2411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73C22×D411yescharacteristic
739C22×D73C22×D411yescharacteristic
740C22×D73C22×D411yescharacteristic
741Q8×C73—21no—
742Q8×C73—21no—
743Q8×C73—41no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—21no—
752D4×C73—21no—
753D4×C73—21no—
754D4×C73—42no—
755D4×C73—81no—
756D4×C73—81no—
757D4×C73—81no—
758D4×C73—81no—
759D4×C73—81no—
760D4×C73—81no—
761D4×C73—81no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—42no—
766C2×C4×C73—81no—
767C2×C4×C73—81no—
768C2×C4×C73—81no—
769C2×C4×C73—81no—
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C2511yescharacteristic
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73—81no—
791C22⋊D73—81no—
792C22⋊D73—81no—
793C22⋊D73—81no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—81no—
802C2×Dic73—81no—
803C2×Dic73—81no—
804C2×Dic73—81no—
805C2×Dic73C22×D411yescharacteristic
806C2×Dic73C22×D411yescharacteristic
807C2×Dic73C22×D411yescharacteristic
808C2×Dic73C22×D411yescharacteristic
809C2×Dic73C22×D411yescharacteristic
810D292—22no—
811D292—22no—
812D292—21no—
813D292—21no—
814D292—21no—
815D292—21no—
816D292—21no—
817D292—41no—
818D292—42no—
819D292—42no—
820D292—81no—
821D292—81no—
822D292—81no—
823D292H(5,𝔽2)12yes—
824C4×D73—22no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—21no—
829C4×D73—21no—
830C4×D73—21no—
831C4×D73—41no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840C4×D73—81no—
841Dic146—21no—
842Dic146—21no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73C23×D411yescharacteristic
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—21no—
871C2×D73—21no—
872C2×D73—21no—
873C2×D73—21no—
874C2×D73—22no—
875C2×D73—21no—
876C2×D73—21no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—84no—
886C2×D73—162no—
887C2×D73—162no—
888C2×D73—162no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73#57612yes—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—41no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73C2×H(5,𝔽2)11yescharacteristic
902C4×C73#58511yescharacteristic
903Dic73—21no—
904Dic73—21no—
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—41no—
909Dic73—41no—
910Dic73—41no—
911Dic73—41no—
912Dic73—41no—
913#62007—731nomaximal, Sylow
914C2×C73—81no—
915C2×C73—81no—
916C2×C73—81no—
917C2×C73—81no—
918C2×C73—81no—
919C2×C73#348811yescharacteristic
920C2×C73C2×#57611yescharacteristic
921C2×C73#358511yescharacteristic
922D73—22no—
923D73—41no—
924D73—41no—
925D73—42no—
926D73—81no—
927D73—81no—
928#3543—731no—
929#3513—731no—
930#3403—731no—
931#3399D7311yescharacteristic, complemented
932#3370—731no—
933#3366—731no—
934#3318—731no—
935#3310—731no—
936#3309—731no—
937#3306—731no—
938#3296—731no—
939#3294—731no—
940#3280—731no—
941D4×D8—731no—
942#3268—731no—
943#3264—731no—
944#3264—731no—
945#3264—731no—
946#3259—731no—
947#3257—731no—
948#3250—731no—
949#3224—731no—
950#3220—731no—
951#3217—731no—
952#3122—731no—
953#3119—731no—
954#3114—731no—
955#3045—731no—
956#3041—731no—
957C2×#459—731no—
958#2992—731no—
959C73#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—731no—
961C2×AGL(1,ℤ/8)—731no—
962C2×#135—731no—
963C22×D8—731no—
964C22×D8—731no—
965C22×D8—731no—
966#560—1461no—
967#560—1461no—
968#559—731no—
969#559C2×D7311yescharacteristic, complemented
970#554—731no—
971#553—731no—
972#553—1461no—
973#552—731no—
974#551—1461no—
975#551—1461no—
976#550—731no—
977#550C2×D7311yescharacteristic, complemented
978#547—731no—
979#546—731no—
980#546—731no—
981#546—731no—
982#546—731no—
983#546—1461no—
984#546—1461no—
985D42—731no—
986D42—731no—
987D42—731no—
988D42—731no—
989D42—1461no—
990#542—731no—
991#540—731no—
992#540—731no—
993#540—731no—
994#540—1461no—
995#539—1461no—
996#538—1461no—
997#535—731no—
998#535—731no—
999#535—1461no—
1000#534—1461no—
1001#534—1461no—
1002C2×#127—731no—
1003#529—731no—
1004#529—731no—
1005#529—731no—
1006#525—1461no—
1007C2×#123—1461no—
1008#520—731no—
1009#518—731no—
1010C2×C4×D4—731no—
1011#496—731no—
1012#496—731no—
1013#496C2×D7311yescharacteristic, complemented
1014#496C2×D7311yescharacteristic, complemented
1015#495—731no—
1016#493C2×D7311yescharacteristic, complemented
1017#490—731no—
1018#490—731no—
1019#490—731no—
1020#489—731no—
1021#488—731no—
1022#486—731no—
1023#483—731no—
1024#482—731no—
1025#482—731no—
1026#481—731no—
1027#480—731no—
1028#480—731no—
1029#479—731no—
1030#479—731no—
1031#478—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#478—731no—
1037#476—731no—
1038#474—731no—
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468—731no—
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#466—731no—
1047#466—731no—
1048#465—731no—
1049#465—731no—
1050#465—731no—
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463C2×D7311yescharacteristic, complemented
1062#463C2×D7311yescharacteristic, complemented
1063#460—731no—
1064#460—731no—
1065#460C2×D7311yescharacteristic, complemented
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#459—731no—
1075#459—731no—
1076#459—731no—
1077#459—731no—
1078#459C2×D7311yescharacteristic, complemented
1079#459C2×D7311yescharacteristic, complemented
1080#459C2×D7311yescharacteristic, complemented
1081#452—731no—
1082#450—731no—
1083#450—731no—
1084#450—731no—
1085#450—731no—
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#446—731no—
1100#446C2×D7311yescharacteristic, complemented
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442C2×D7311yescharacteristic, complemented
1105#442C2×D7311yescharacteristic, complemented
1106#440—731no—
1107#440—731no—
1108#440—731no—
1109C4×SD16C2×D7311yescharacteristic, complemented
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8—731no—
1113#435—731no—
1114#435—731no—
1115#435—731no—
1116#435—731no—
1117C8×D4—731no—
1118C8×D4—731no—
1119#433—731no—
1120#433—731no—
1121#432—731no—
1122#424—731no—
1123#424—731no—
1124C2×C4⋊C8—731no—
1125#418—731no—
1126#417—731no—
1127#416—731no—
1128C2×#102—731no—
1129C2×#102—731no—
1130C2×#102—731no—
1131C2×#41—21no—
1132C2×#41—731no—
1133C2×#41—731no—
1134C2×#41—731no—
1135C2×#41—1461no—
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—731no—
1142C22×D4—1461no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—1461no—
1149AGL(1,ℤ/8)—2922no—
1150AGL(1,ℤ/8)—2922no—
1151#135—2922no—
1152C2×Q16—731no—
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16C22×D7311yescharacteristic
1159C2×SD16C22×D7311yescharacteristic
1160C2×SD16C22×D7311yescharacteristic
1161C2×D8—2922no—
1162C2×D8—2922no—
1163C2×D8—2922no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×D8—731no—
1170C2×D8—731no—
1171C2×D8—731no—
1172C2×D8—731no—
1173C2×D8C22×D7311yescharacteristic
1174C2×D8C22×D7311yescharacteristic
1175C2×D8C22×D7311yescharacteristic
1176C2×D8C22×D7311yescharacteristic
1177C2×D8C22×D7311yescharacteristic
1178C2×D8C22×D7311yescharacteristic
1179C2×M16—731no—
1180C2×M16—731no—
1181C22×C8—731no—
1182C22×C8—731no—
1183C22×C8—731no—
1184C22×C8—731no—
1185C4⋊Q8—731no—
1186#127—731no—
1187#127—731no—
1188#127—731no—
1189#127—1461no—
1190#127—1461no—
1191#127—1461no—
1192#127C22×D7311yescharacteristic
1193#127C22×D7311yescharacteristic
1194#127C22×D7311yescharacteristic
1195#127C22×D7311yescharacteristic
1196#126—731no—
1197#126—731no—
1198#126—1461no—
1199#126—1461no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#125—731no—
1204#125—731no—
1205#125—731no—
1206#125—731no—
1207#125—1461no—
1208#124—21no—
1209#124—731no—
1210#124—731no—
1211#124—731no—
1212#124—731no—
1213#124—1461no—
1214#124—1461no—
1215#124C22×D7311yescharacteristic
1216#124C22×D7311yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—731no—
1220#123—731no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240C22⋊Q8—731no—
1241C22⋊Q8—731no—
1242C22⋊Q8—731no—
1243C22⋊Q8—731no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—731no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290#120—1461no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299C4×Q8—731no—
1300C4×Q8—731no—
1301C4×Q8C22×D7311yescharacteristic
1302C4×Q8C22×D7311yescharacteristic
1303C4×D4—21no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—731no—
1314C4×D4—731no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4C22×D7311yescharacteristic
1327C4×D4C22×D7311yescharacteristic
1328C4×D4C22×D7311yescharacteristic
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331#117—731no—
1332#117—731no—
1333#117—731no—
1334#117—1461no—
1335#117—1461no—
1336#117—1461no—
1337#117—1461no—
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—1461no—
1341C2×C4⋊C4—1461no—
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C42—731no—
1350#107—731no—
1351#107—731no—
1352#107—731no—
1353#107—731no—
1354#106—731no—
1355#106—731no—
1356#106—731no—
1357#106C22×D7311yescharacteristic
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8C22×D7311yescharacteristic
1366C4⋊C8C22×D7311yescharacteristic
1367C4⋊C8C22×D7311yescharacteristic
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103C22×D7311yescharacteristic
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102C22×D7311yescharacteristic
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406#97—731no—
1407#97—731no—
1408#97C22×D7311yescharacteristic
1409#97C22×D7311yescharacteristic
1410C4×C8—731no—
1411C4×C8C22×D7311yescharacteristic
1412C24—1461no—
1413C24—1461no—
1414C24—1461no—
1415C24—1461no—
1416C24—1461no—
1417C24—1461no—
1418#41—82no—
1419#41—2921no—
1420#41—2921no—
1421#41—2921no—
1422#41—2921no—
1423#41—2921no—
1424#41—5842no—
1425#41—1462no—
1426C2×Q8—731no—
1427C2×Q8—1461no—
1428C2×Q8D4×D7311yescharacteristic
1429C2×Q8C23×D7311yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—2921no—
1439C2×D4—2921no—
1440C2×D4—2921no—
1441C2×D4—2921no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2921no—
1445C2×D4—2921no—
1446C2×D4—2921no—
1447C2×D4—2921no—
1448C2×D4—5842no—
1449C2×D4—5842no—
1450C2×D4—5842no—
1451C2×D4—5842no—
1452C2×D4—5842no—
1453C2×D4—5842no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—731no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1462no—
1474C2×D4—1462no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4C23×D7311yescharacteristic
1487C2×D4C23×D7311yescharacteristic
1488C2×D4C23×D7311yescharacteristic
1489C2×D4C23×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—5842no—
1497C22×C4—731no—
1498C22×C4—731no—
1499C22×C4—731no—
1500C22×C4—731no—
1501C22×C4—731no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515Q16—2921no—
1516SD16—41no—
1517SD16—41no—
1518SD16—41no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—1462no—
1524D8—41no—
1525D8—41no—
1526D8—41no—
1527D8—41no—
1528D8—41no—
1529D8—41no—
1530D8—2921no—
1531D8—2921no—
1532D8—2921no—
1533D8—2921no—
1534D8—1462no—
1535D8—1462no—
1536D8—1462no—
1537D8—1462no—
1538D8—1462no—
1539M16—2921no—
1540M16—2921no—
1541C2×C8—2921no—
1542C2×C8—2921no—
1543C2×C8—2921no—
1544C2×C8—2921no—
1545C2×C8—731no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8C23×D7311yescharacteristic
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4D4×D7311yescharacteristic
1580C4⋊C4D4×D7311yescharacteristic
1581C4⋊C4D4×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—731no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C42—21no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42C23×D7311yescharacteristic
1638C42C23×D7311yescharacteristic
1639C42C23×D7311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—2922no—
1646C23—2922no—
1647C23—2922no—
1648C23—2922no—
1649C23—2922no—
1650C23—5841no—
1651C23—5841no—
1652C23—5841no—
1653C23—5841no—
1654C23—5841no—
1655C23—5841no—
1656C23—5841no—
1657C23—5841no—
1658C23—5841no—
1659C23—5841no—
1660C23—5841no—
1661C23—5841no—
1662C23—5841no—
1663C23—731no—
1664C23—731no—
1665C23—731no—
1666C23—1461no—
1667C23—1461no—
1668C23—1461no—
1669Q8—21no—
1670Q8—21no—
1671Q8—41no—
1672Q8—5841no—
1673Q8—1461no—
1674Q8—1461no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—42no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—2922no—
1694D4—2921no—
1695D4—2922no—
1696D4—2922no—
1697D4—2922no—
1698D4—2922no—
1699D4—2922no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—5841no—
1706D4—5841no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—5841no—
1718D4—732no—
1719D4—1462no—
1720D4—1462no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4—1461no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—42no—
1730C2×C4—81no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—2921no—
1735C2×C4—2922no—
1736C2×C4—2922no—
1737C2×C4—5841no—
1738C2×C4—5841no—
1739C2×C4—5841no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—5841no—
1747C2×C4—5841no—
1748C2×C4—731no—
1749C2×C4—731no—
1750C2×C4—731no—
1751C2×C4—731no—
1752C2×C4—731no—
1753C2×C4—1462no—
1754C2×C4—1461no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1461no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4—1461no—
1765C2×C4C2×D4×D7311yescharacteristic
1766C2×C4C2×D4×D7311yescharacteristic
1767C2×C4C2×D4×D7311yescharacteristic
1768C2×C4C2×D4×D7311yescharacteristic
1769C2×C4C2×D4×D7311yescharacteristic
1770C2×C4C2×D4×D7311yescharacteristic
1771C2×C4C24×D7311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1461no—
1777C8—1461no—
1778C8—1461no—
1779C8—1461no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—2921no—
1796C22—2921no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—5844no—
1804C22—732no—
1805C22—11682no—
1806C22—11682no—
1807C22—11682no—
1808C22—11682no—
1809C22—11682no—
1810C22—1462no—
1811C22—1461no—
1812C22—1461no—
1813C22—1461no—
1814C22—1461no—
1815C22—1461no—
1816C22—1461no—
1817C22—1461no—
1818C22—1461no—
1819C22C22×D4×D7311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—2921no—
1830C4—2921no—
1831C4—2921no—
1832C4—2921no—
1833C4—2921no—
1834C4—1461no—
1835C4—1461no—
1836C4—1461no—
1837C4—1461no—
1838C4—1461no—
1839C4H(5,𝔽2)×D7311yescharacteristic
1840C4#1798942311yescharacteristic
1841C2—81no—
1842C2—81no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—2922no—
1847C2—2921no—
1848C2—2921no—
1849C2—5841no—
1850C2—5841no—
1851C2—1462no—
1852C2#2262359911yescharacteristic
1853C2#576×D7311yescharacteristic
1854C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3399C2
socleC22×C73C23×D4
hypercenter#3399D73
hypocenterC73#62007
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3399

Complements

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

NH ≅ G/Ntype
1. #22624255C2semidirect
2. #22623870C2semidirect
3. #22623015C2semidirect
4. #22622686C2semidirect
5. #22622634C2semidirect
6. #22622077C2semidirect
7. #22621959C2semidirect
8. #22621944C2semidirect
9. #22621897C2semidirect
10. #22621771C2semidirect
11. #22621747C2semidirect
12. #22621611C2semidirect
13. #22621606C2semidirect
14. #22621470C2semidirect
15. #22621417C2semidirect
16. #22621410C2semidirect
17. #22621406C2semidirect
18. #22621368C2semidirect
19. #22621339C2semidirect
20. #22621280C2semidirect
21. #22621020C2semidirect
22. #22620974C2semidirect
23. #22620945C2semidirect
24. #22620173C2semidirect
25. #22620136C2semidirect
26. #22620067C2semidirect
27. #22619467C2semidirect
28. #22619429C2semidirect
29. #459×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3399C2semidirect
32. C2×#14556618C22semidirect
33. C2×#14556615C22semidirect
34. C2×#14556612C22semidirect
35. C2×D8×D73C22semidirect
36. C2×D8×D73C22semidirect
37. C2×D8×D73C22semidirect
40. #17989322C22semidirect
41. #17989297C22semidirect
42. #17989287C22semidirect
44. #17989278C22semidirect
47. #17989257C22semidirect
48. #17989242C22semidirect
50. #17989232C22semidirect
51. #17989230C22semidirect
52. #17989230C22semidirect
55. D4×D292C22semidirect
57. #17989222C22semidirect
58. #17989222C22semidirect
60. #17989206C22semidirect
61. #17989191C22semidirect
63. #17989188C22semidirect
64. #17989188C22semidirect
68. #17989150C22semidirect
69. #17989150C22semidirect
72. #127×D73C22semidirect
74. #17989119C22semidirect
75. #17989116C22semidirect
78. #17989069C22semidirect
79. #17989059C22semidirect
80. C4×D4×D73C22semidirect
81. #17988977C22semidirect
82. #17988974C22semidirect
83. #17988969C22semidirect
84. #17988952C22semidirect
85. #17988951C22semidirect
86. #17988951C22semidirect
87. #17988947C22semidirect
88. #17988942C22semidirect
89. #17988933C22semidirect
90. #17988919C22semidirect
91. #17988913C22semidirect
92. #17988910C22semidirect
93. #17988907C22semidirect
94. #17988899C22semidirect
95. #17988899C22semidirect
96. #17988896C22semidirect
97. #17988895C22semidirect
98. #17988889C22semidirect
99. #17988888C22semidirect
100. #17988887C22semidirect
101. #17988887C22semidirect
102. #17988886C22semidirect
103. #17988885C22semidirect
104. #17988877C22semidirect
105. #17988868C22semidirect
106. #17988839C22semidirect
107. #17988839C22semidirect
108. #17988837C22semidirect
109. #17988830C22semidirect
110. #17988827C22semidirect
111. #17988822C22semidirect
113. #17988820C22semidirect
114. #17988820C22semidirect
115. #17988819C22semidirect
116. #17988815C22semidirect
117. #17988813C22semidirect
118. #17988809C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
121. #17988803C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988799C22semidirect
128. #17988785C22semidirect
129. #17988785C22semidirect
131. #17988782C22semidirect
132. #17988781C22semidirect
133. #17988781C22semidirect
134. #17988780C22semidirect
135. #17988780C22semidirect
136. #17988780C22semidirect
137. #17988780C22semidirect
138. #17988779C22semidirect
139. #17988779C22semidirect
140. #17988779C22semidirect
141. #17988779C22semidirect
142. #17988746C22semidirect
143. #17988739C22semidirect
144. #17988736C22semidirect
145. #17988736C22semidirect
146. #17988736C22semidirect
147. #17988735C22semidirect
148. #17988731C22semidirect
149. #17988729C22semidirect
150. #17988729C22semidirect
151. #17988729C22semidirect
152. #17988722C22semidirect
154. #17988719C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988718C22semidirect
161. #17988700C22semidirect
162. #17988697C22semidirect
163. #17988697C22semidirect
164. #17988689C22semidirect
165. #17988687C22semidirect
166. #17988685C22semidirect
167. C4×D584C22semidirect
168. C4×#11924013C22semidirect
169. C4×#11924013C22semidirect
170. #17988660C22semidirect
171. #17988660C22semidirect
172. #17988657C22semidirect
173. #17988657C22semidirect
174. C8×D292C22semidirect
175. #17988652C22semidirect
176. #17988649C22semidirect
177. #17988646C22semidirect
178. #17988642C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988590C22semidirect
183. #17988585C22semidirect
184. #17988580C22semidirect
185. #102×D73C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. #559×C73C22semidirect
189. #550×C73C22semidirect
190. #496×C73C22semidirect
191. #496×C73C22semidirect
192. #493×C73C22semidirect
193. #463×C73C22semidirect
194. #463×C73C22semidirect
195. #460×C73C22semidirect
196. #459×C73C22semidirect
197. #459×C73C22semidirect
198. #459×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #442×C73C22semidirect
202. C4×SD16×C73C22semidirect
931. #3399D73semidirect
959. C73#62007semidirect
969. #559C2×D73semidirect
977. #550C2×D73semidirect
1013. #496C2×D73semidirect
1014. #496C2×D73semidirect
1016. #493C2×D73semidirect
1061. #463C2×D73semidirect
1062. #463C2×D73semidirect
1065. #460C2×D73semidirect
1078. #459C2×D73semidirect
1079. #459C2×D73semidirect
1080. #459C2×D73semidirect
1100. #446C2×D73semidirect
1104. #442C2×D73semidirect
1105. #442C2×D73semidirect
1109. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242552
#226238702
#226230152
#226226862
#226226342
#226220772
#226219592
#226219442
#226218972
#226217712
#226217472
#226216112
#226216062
#226214702
#226214172
#226214102
#226214062
#226213682
#226213392
#226212802
#226210202
#226209742
#226209452
#226201732
#226201362
#226200672
#226194672
#226194292
#459×D732
#226190692
C73×#33992
#6200773