Finite Group Databasebeta

← #33983074

Subgroups — #33983074

Order 18688.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624321C211yesmaximal, characteristic, complemented
2#22623998C211yesmaximal, characteristic, complemented
3#22622885C211yesmaximal, characteristic, complemented
4#22622832C211yesmaximal, characteristic, complemented
5#22622645C211yesmaximal, characteristic, complemented
6#22622473C211yesmaximal, characteristic, complemented
7#22622453C211yesmaximal, characteristic, complemented
8#22622436C211yesmaximal, characteristic, complemented
9#22622376C211yesmaximal, characteristic, complemented
10#22622346C211yesmaximal, characteristic, complemented
11#22622330C211yesmaximal, characteristic, complemented
12#22622094C211yesmaximal, characteristic, complemented
13#22622086C211yesmaximal, characteristic, complemented
14#22621906C211yesmaximal, characteristic, complemented
15#22621899C211yesmaximal, characteristic, complemented
16#22621862C211yesmaximal, characteristic, complemented
17#22621780C211yesmaximal, characteristic, complemented
18#22621374C211yesmaximal, characteristic, complemented
19#22621347C211yesmaximal, characteristic, complemented
20#22621254C211yesmaximal, characteristic, complemented
21#22621222C211yesmaximal, characteristic, complemented
22#22621194C211yesmaximal, characteristic, complemented
23#22621166C211yesmaximal, characteristic, complemented
24#22620173C211yesmaximal, characteristic, complemented
25#22620136C211yesmaximal, characteristic, complemented
26#22620080C211yesmaximal, characteristic, complemented
27#22619785C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29#22619714C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3376C211yesmaximal, characteristic, complemented
32#17989333—21no—
33#17989333—21no—
34#17989310C2211yescharacteristic
35#17989303C2211yescharacteristic
36#17989302C2211yescharacteristic
37#17989302C2211yescharacteristic, complemented
38#17989297C2211yescharacteristic
39#17989290C2211yescharacteristic
40#17989290C2211yescharacteristic, complemented
41#17989288—21no—
42#17989287C2211yescharacteristic
43#17989278C2211yescharacteristic
44#17989273—21no—
45#17989272—21no—
46#17989264—21no—
47#17989261—21no—
48Q8×D292C2211yescharacteristic, complemented
49#17989247—21no—
50#17989242C2211yescharacteristic
51#17989240C2211yescharacteristic
52#17989230C2211yescharacteristic
53#17989230C2211yescharacteristic
54#17989217C2211yescharacteristic
55#17989217C2211yescharacteristic, complemented
56#17989210—21no—
57#17989210—21no—
58#17989206C2211yescharacteristic
59#17989198C2211yescharacteristic
60#17989188C2211yescharacteristic
61#17989188C2211yescharacteristic, complemented
62#17989183—21no—
63#17989176—21no—
64#17989168—21no—
65#17989160—21no—
66#17989142C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989124C2211yescharacteristic
69#17989116C2211yescharacteristic
70#17989115—21no—
71#126×D73—21no—
72#17989069C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×#11924029C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988985C2211yescharacteristic, complemented
81#17988946C2211yescharacteristic
82#17988946C2211yescharacteristic
83#17988937C2211yescharacteristic, complemented
84#17988927C2211yescharacteristic
85#17988926C2211yescharacteristic
86#17988926C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic
90#17988916C2211yescharacteristic
91#17988916C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic
94#17988910C2211yescharacteristic
95#17988910C2211yescharacteristic
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic
98#17988909C2211yescharacteristic
99#17988907C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic
101#17988899C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic
107#17988889C2211yescharacteristic
108#17988888C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic, complemented
110#17988887C2211yescharacteristic, complemented
111#17988887C2211yescharacteristic, complemented
112#17988886C2211yescharacteristic
113#17988886C2211yescharacteristic
114#17988884C2211yescharacteristic
115#17988884C2211yescharacteristic
116#17988882C2211yescharacteristic, complemented
117#17988882C2211yescharacteristic, complemented
118#17988880C2211yescharacteristic, complemented
119#17988878C2211yescharacteristic
120#17988878C2211yescharacteristic
121#17988878C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic
123#17988870C2211yescharacteristic, complemented
124#17988868C2211yescharacteristic
125#17988867C2211yescharacteristic
126#17988867C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic
128#17988864C2211yescharacteristic
129#17988837C2211yescharacteristic
130#17988836C2211yescharacteristic
131#17988836C2211yescharacteristic, complemented
132#17988830C2211yescharacteristic
133#17988822C2211yescharacteristic
134#17988822C2211yescharacteristic
135#17988820C2211yescharacteristic
136#17988819C2211yescharacteristic
137#17988819C2211yescharacteristic, complemented
138#17988813C2211yescharacteristic
139#17988813C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988799C2211yescharacteristic
142#17988799C2211yescharacteristic
143#17988789C2211yescharacteristic, complemented
144#17988785C2211yescharacteristic, complemented
145#17988785C2211yescharacteristic, complemented
146#17988781C2211yescharacteristic
147#17988780C2211yescharacteristic
148#17988735C2211yescharacteristic
149#17988735C2211yescharacteristic
150#17988731C2211yescharacteristic
151#17988731C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988700C2211yescharacteristic
156#17988700C2211yescharacteristic
157#17988697C2211yescharacteristic
158#17988697C2211yescharacteristic
159#17988685C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic, complemented
161C4×D584C2211yescharacteristic
162C4×#11924013C2211yescharacteristic
163C4×#11924013C2211yescharacteristic
164#17988660C2211yescharacteristic
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic
167#17988657C2211yescharacteristic
168C8×D292C2211yescharacteristic
169#17988652C2211yescharacteristic, complemented
170#17988649C2211yescharacteristic
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic
174#17988626C2211yescharacteristic, complemented
175#17988622C2211yescharacteristic
176#17988622C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185#17988582C2211yescharacteristic
186#17988582C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#556×C73C2211yescharacteristic
189#554×C73C2211yescharacteristic, complemented
190#491×C73C2211yescharacteristic, complemented
191#489×C73C2211yescharacteristic
192#488×C73C2211yescharacteristic
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic
195#475×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic
197#463×C73C2211yescharacteristic
198#461×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×Q8×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×#11924015C2311yescharacteristic
210C2×#11924015C2311yescharacteristic
211C2×D584C2311yescharacteristic
212C2×#11924013C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590—21no—
226#14556590C2311yescharacteristic
227#14556587C2311yescharacteristic
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586D411yescharacteristic
235#14556586D411yescharacteristic
236#14556585—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556583C2311yescharacteristic
241#14556583C2311yescharacteristic
242#14556582D411yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556580—21no—
251#14556580—21no—
252#14556580D411yescharacteristic
253#14556579—21no—
254#14556577—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576D411yescharacteristic
266#14556576D411yescharacteristic
267#14556575—21no—
268#14556574—21no—
269#14556574—21no—
270#14556574—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556571—21no—
279#14556571—21no—
280#14556571—21no—
281#14556571—21no—
282#14556571—21no—
283#14556571—21no—
284#14556570—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556568—21no—
290#14556567—21no—
291#14556567—21no—
292#14556567D411yescharacteristic
293#14556567C2311yescharacteristic
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556567C2311yescharacteristic
297#14556566—21no—
298#14556566—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566D411yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565—21no—
307#14556565—21no—
308#14556565—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556561—21no—
322Q8×Dic73—21no—
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325C4×Dic146—21no—
326#14556556—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347#14556551—21no—
348#14556551—21no—
349#14556550—21no—
350#14556550—21no—
351#14556549—21no—
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556548C2311yescharacteristic
363#14556547—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C42×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C2×SD16×C73C2311yescharacteristic
437C2×D8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440#126×C73—21no—
441#126×C73—21no—
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444#124×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458C2×C4⋊C4×C73—21no—
459#107×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—22no—
480#11924029—22no—
481#11924029—41no—
482#11924029—41no—
483#11924028—82no—
484#11924028—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490Q8×D73—82no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292C2×D411yescharacteristic
497C2×D292C2×D411yescharacteristic
498C2×D292C2×D411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509D4×D73—22no—
510D4×D73—41no—
511C22×Dic73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527C2×C4×D73C2411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529#11924015—41no—
530#11924015—41no—
531D584—22no—
532#11924013—22no—
533#11924013—41no—
534#11924011—41no—
535#11924011—41no—
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C8×D73—41no—
541C8×D73—41no—
542C8×D73—41no—
543C8×D73—41no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73C2×D411yescharacteristic
628C2×Q8×C73C2411yescharacteristic
629C2×Q8×C73C2411yescharacteristic
630C2×D4×C73C2411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636SD16×C73—41no—
637SD16×C73—41no—
638D8×C73—41no—
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73C2×D411yescharacteristic
653C4⋊C4×C73C2×D411yescharacteristic
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C42×C73—21no—
668C42×C73—21no—
669C42×C73C2411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—42no—
677C22×D73—81no—
678C22×D73—81no—
679C22×D73C22×D411yescharacteristic
680C22×D73C22×D411yescharacteristic
681C22×D73C22×D411yescharacteristic
682Q8×C73—21no—
683Q8×C73—21no—
684Q8×C73—21no—
685Q8×C73—21no—
686Q8×C73—41no—
687Q8×C73—81no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—42no—
699C2×C4×C73—81no—
700C2×C4×C73—81no—
701C2×C4×C73—81no—
702C2×C4×C73C22×D411yescharacteristic
703C2×C4×C73C22×D411yescharacteristic
704C2×C4×C73C22×D411yescharacteristic
705C2×C4×C73C22×D411yescharacteristic
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C2511yescharacteristic
709C22⋊D73—42no—
710C22⋊D73—81no—
711C22⋊D73—81no—
712C22⋊D73—81no—
713C22⋊D73—81no—
714C22⋊D73—81no—
715C22⋊D73—81no—
716C22⋊D73—81no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—81no—
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729D292—21no—
730D292—21no—
731D292—21no—
732D292—41no—
733D292—41no—
734D292—41no—
735D292—42no—
736D292—42no—
737D292—81no—
738D292—81no—
739D292—81no—
740D2922−1+412yes—
741C4×D73—21no—
742C4×D73—21no—
743C4×D73—21no—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—21no—
747C4×D73—41no—
748C4×D73—41no—
749C4×D73—42no—
750C4×D73—42no—
751C4×D73—42no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761Dic146—42no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—41no—
775C22×C73—41no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73C23×D411yescharacteristic
781C2×D73—21no—
782C2×D73—21no—
783C2×D73—21no—
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—22no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C4×C73—21no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822#62171—731nomaximal, Sylow
823C2×C73—81no—
824C2×C73—81no—
825C2×C73#348911yescharacteristic
826C2×C73#358411yescharacteristic
827C2×C73#358511yescharacteristic
828D73—41no—
829D73—41no—
830D73—41no—
831D73—42no—
832D73—81no—
833#3547—731no—
834#3521—731no—
835#3389—731no—
836#3384—731no—
837#3376D7311yescharacteristic, complemented
838#3367—731no—
839#3350—731no—
840#3348—731no—
841#3347—731no—
842#3343—731no—
843#3340—731no—
844#3339—731no—
845#3319—731no—
846#3319—731no—
847#3307—731no—
848#3306—731no—
849#3303—731no—
850#3297—731no—
851#3260—731no—
852#3257—731no—
853#3247—731no—
854#3244—731no—
855#3242—731no—
856#3240—731no—
857#3122—731no—
858#3119—731no—
859#3115—731no—
860#3083—731no—
861#3081—731no—
862#3076—731no—
863#2992—731no—
864C73#6217111yescharacteristic, complemented, Sylow
865#562—1461no—
866#562—1461no—
867#556—731no—
868#556C2×D7311yescharacteristic
869#555—731no—
870#555—731no—
871#555—731no—
872#554—731no—
873#554C2×D7311yescharacteristic, complemented
874#553—731no—
875#553—731no—
876#553—731no—
877#553—1461no—
878#552—731no—
879#552—1461no—
880#552—1461no—
881#551—1461no—
882#551—1461no—
883D4×Q8—731no—
884#548—1461no—
885#547—731no—
886#547—731no—
887#546—731no—
888#546—731no—
889#544—731no—
890#544—731no—
891#542—731no—
892#542—1461no—
893#542—1461no—
894#541—731no—
895#540—731no—
896#540—731no—
897#539—1461no—
898#538—1461no—
899#537—1461no—
900#536—1461no—
901#533—731no—
902#532—731no—
903#529—731no—
904#529—731no—
905#529—1461no—
906C2×#126—1461no—
907#520—731no—
908#518—731no—
909C4×#41—731no—
910#501—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#499—731no—
915#498—731no—
916#491C2×D7311yescharacteristic, complemented
917#489—731no—
918#489—731no—
919#489C2×D7311yescharacteristic
920#488C2×D7311yescharacteristic
921#487—731no—
922#485—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#481—731no—
938#481—731no—
939#480—731no—
940#479—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479C2×D7311yescharacteristic, complemented
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478C2×D7311yescharacteristic
956#477—731no—
957#477—731no—
958#477—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#475—731no—
964#475C2×D7311yescharacteristic, complemented
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#469—731no—
971#468—731no—
972#468—731no—
973#468—731no—
974#466—731no—
975#466—731no—
976#466—731no—
977#465—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#463—731no—
983#463—731no—
984#463C2×D7311yescharacteristic
985#463C2×D7311yescharacteristic
986#461—731no—
987#461C2×D7311yescharacteristic, complemented
988#460—731no—
989#460—731no—
990#459—731no—
991#459—731no—
992#449—731no—
993#449—731no—
994#449—731no—
995#449—731no—
996#447—731no—
997#447—731no—
998#446—731no—
999#446C2×D7311yescharacteristic, complemented
1000#442—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442C2×D7311yescharacteristic
1005#440—731no—
1006#440—731no—
1007#440C2×D7311yescharacteristic, complemented
1008C4×SD16C2×D7311yescharacteristic, complemented
1009C4×D8—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012#435—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016C8×D4—731no—
1017C8×D4—731no—
1018#433—731no—
1019#433—731no—
1020#432—731no—
1021#428—731no—
1022#428—731no—
1023#427—731no—
1024#427—731no—
1025#427—731no—
1026C2×#107—731no—
1027#424—731no—
1028#424—731no—
1029C2×C4⋊C8—731no—
1030#418—731no—
1031#417—731no—
1032#416—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#41—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C2×#41—1461no—
1040C22×Q8—1461no—
1041C22×D4—731no—
1042C2×SD16—731no—
1043C2×SD16—731no—
1044C2×SD16C22×D7311yescharacteristic
1045C2×SD16C22×D7311yescharacteristic
1046C2×D8—731no—
1047C2×D8—731no—
1048C2×D8—731no—
1049C2×D8C22×D7311yescharacteristic
1050C2×M16—731no—
1051C2×M16—731no—
1052C22×C8—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C4⋊Q8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—1461no—
1062C4⋊Q8—1461no—
1063C4⋊Q8C22×D7311yescharacteristic
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—21no—
1067#126—21no—
1068#126—731no—
1069#126—731no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#125—731no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—1461no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125C22×D7311yescharacteristic
1091#125C22×D7311yescharacteristic
1092#124—731no—
1093#124—1461no—
1094#124—1461no—
1095#124—1461no—
1096#124—1461no—
1097#124—1461no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124C22×D7311yescharacteristic
1103#124C22×D7311yescharacteristic
1104#123—731no—
1105#123—731no—
1106#123—1461no—
1107#123—1461no—
1108#123—1461no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—731no—
1127C22⋊Q8—731no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145#121—731no—
1146#121—731no—
1147#121—731no—
1148#121—731no—
1149#121—731no—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—1461no—
1155#121—1461no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#120—1461no—
1169#120—1461no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—1461no—
1173C4×Q8—1461no—
1174C4×Q8—1461no—
1175C4×Q8C22×D7311yescharacteristic
1176C4×Q8C22×D7311yescharacteristic
1177C4×Q8C22×D7311yescharacteristic
1178C4×D4—731no—
1179C4×D4—731no—
1180C4×D4—731no—
1181C4×D4—731no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—1461no—
1190C4×D4—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4C22×D7311yescharacteristic
1201C4×D4C22×D7311yescharacteristic
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—21no—
1205#117—731no—
1206#117—731no—
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220C2×C4⋊C4—21no—
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C42—731no—
1232C2×C42—1461no—
1233#107—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107C22×D7311yescharacteristic
1245#106—731no—
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257C4⋊C8—731no—
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267#103—731no—
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103C22×D7311yescharacteristic
1274#103C22×D7311yescharacteristic
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#103C22×D7311yescharacteristic
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299C22⋊C8—731no—
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305#97—731no—
1306#97—731no—
1307#97C22×D7311yescharacteristic
1308#97C22×D7311yescharacteristic
1309C4×C8—731no—
1310C4×C8C22×D7311yescharacteristic
1311C24—1461no—
1312#41—2921no—
1313#41—2921no—
1314#41—5842no—
1315#41—5842no—
1316#41—1462no—
1317#41—1462no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8D4×D7311yescharacteristic
1326C2×Q8C23×D7311yescharacteristic
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—2921no—
1329C2×D4—731no—
1330C2×D4—731no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—1461no—
1335C2×D4—1461no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1462no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4C23×D7311yescharacteristic
1349C2×D4C23×D7311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—731no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372SD16—41no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—41no—
1377D8—2921no—
1378D8—1462no—
1379D8—1462no—
1380M16—2921no—
1381M16—2921no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—2921no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8—731no—
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C2×C8C23×D7311yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4D4×D7311yescharacteristic
1439C4⋊C4D4×D7311yescharacteristic
1440C4⋊C4D4×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
1462C22⋊C4—731no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C42—21no—
1490C42—21no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42C23×D7311yescharacteristic
1503C42C23×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C23—21no—
1506C23—21no—
1507C23—2922no—
1508C23—5841no—
1509C23—5841no—
1510C23—731no—
1511C23—731no—
1512C23—731no—
1513C23—1461no—
1514C23—1461no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—41no—
1520Q8—81no—
1521Q8—2922no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—21no—
1530D4—2921no—
1531D4—2921no—
1532D4—2921no—
1533D4—2922no—
1534D4—2922no—
1535D4—2922no—
1536D4—5841no—
1537D4—5841no—
1538D4—5841no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—732no—
1547D4—1461no—
1548D4—1461no—
1549D4—1461no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—42no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—2922no—
1561C2×C4—2921no—
1562C2×C4—2921no—
1563C2×C4—2922no—
1564C2×C4—2922no—
1565C2×C4—5841no—
1566C2×C4—5841no—
1567C2×C4—5841no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—731no—
1576C2×C4—731no—
1577C2×C4—731no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—1461no—
1581C2×C4—1461no—
1582C2×C4—1461no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4C2×D4×D7311yescharacteristic
1593C2×C4C2×D4×D7311yescharacteristic
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C24×D7311yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1461no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—2921no—
1614C22—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—11682no—
1619C22—1462no—
1620C22—1461no—
1621C22—1461no—
1622C22—1461no—
1623C22—1461no—
1624C22—1461no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22C22×D4×D7311yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C42−1+4×D7311yescharacteristic
1654C4#1798942311yescharacteristic
1655C2—81no—
1656C2—81no—
1657C2—2922no—
1658C2—2921no—
1659C2—2921no—
1660C2—2921no—
1661C2—5841no—
1662C2#2262361011yescharacteristic
1663C2#2262470311yescharacteristic
1664C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3376C2
socleC22×C73C23×D4
hypercenter#3376D73
hypocenterC73#62171
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #22624321C2semidirect
2. #22623998C2semidirect
3. #22622885C2semidirect
4. #22622832C2semidirect
5. #22622645C2semidirect
6. #22622473C2semidirect
7. #22622453C2semidirect
8. #22622436C2semidirect
9. #22622376C2semidirect
10. #22622346C2semidirect
11. #22622330C2semidirect
12. #22622094C2semidirect
13. #22622086C2semidirect
14. #22621906C2semidirect
15. #22621899C2semidirect
16. #22621862C2semidirect
17. #22621780C2semidirect
18. #22621374C2semidirect
19. #22621347C2semidirect
20. #22621254C2semidirect
21. #22621222C2semidirect
22. #22621194C2semidirect
23. #22621166C2semidirect
24. #22620173C2semidirect
25. #22620136C2semidirect
26. #22620080C2semidirect
27. #22619785C2semidirect
28. #22619761C2semidirect
29. #22619714C2semidirect
30. #22619069C2semidirect
31. C73×#3376C2semidirect
37. #17989302C22semidirect
40. #17989290C22semidirect
48. Q8×D292C22semidirect
55. #17989217C22semidirect
61. #17989188C22semidirect
66. #17989142C22semidirect
67. #17989134C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988996C22semidirect
78. #17988993C22semidirect
79. #17988986C22semidirect
80. #17988985C22semidirect
83. #17988937C22semidirect
86. #17988926C22semidirect
87. #17988926C22semidirect
88. #17988926C22semidirect
91. #17988916C22semidirect
92. #17988914C22semidirect
96. #17988910C22semidirect
99. #17988907C22semidirect
101. #17988899C22semidirect
102. #17988896C22semidirect
103. #17988896C22semidirect
104. #17988892C22semidirect
105. #17988892C22semidirect
108. #17988888C22semidirect
109. #17988888C22semidirect
110. #17988887C22semidirect
111. #17988887C22semidirect
116. #17988882C22semidirect
117. #17988882C22semidirect
118. #17988880C22semidirect
121. #17988878C22semidirect
123. #17988870C22semidirect
126. #17988867C22semidirect
131. #17988836C22semidirect
137. #17988819C22semidirect
139. #17988813C22semidirect
140. #17988813C22semidirect
143. #17988789C22semidirect
144. #17988785C22semidirect
145. #17988785C22semidirect
154. #17988718C22semidirect
159. #17988685C22semidirect
160. #17988685C22semidirect
165. #17988660C22semidirect
169. #17988652C22semidirect
171. #17988646C22semidirect
172. #17988642C22semidirect
174. #17988626C22semidirect
176. #17988622C22semidirect
177. #17988622C22semidirect
178. #107×D73C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
189. #554×C73C22semidirect
190. #491×C73C22semidirect
193. #479×C73C22semidirect
195. #475×C73C22semidirect
198. #461×C73C22semidirect
199. #446×C73C22semidirect
201. #440×C73C22semidirect
202. C4×SD16×C73C22semidirect
837. #3376D73semidirect
864. C73#62171semidirect
873. #554C2×D73semidirect
916. #491C2×D73semidirect
944. #479C2×D73semidirect
964. #475C2×D73semidirect
987. #461C2×D73semidirect
999. #446C2×D73semidirect
1007. #440C2×D73semidirect
1008. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243212
#226239982
#226228852
#226228322
#226226452
#226224732
#226224532
#226224362
#226223762
#226223462
#226223302
#226220942
#226220862
#226219062
#226218992
#226218622
#226217802
#226213742
#226213472
#226212542
#226212222
#226211942
#226211662
#226201732
#226201362
#226200802
#226197852
#226197612
#226197142
#226190692
C73×#33762
#6217173