Finite Group Databasebeta

← #33954624

Subgroups — #33954624

Order 18688.

2144 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623346C211yesmaximal, characteristic, complemented
2#22623137C211yesmaximal, characteristic, complemented
3#22620214C211yesmaximal, characteristic, complemented
4#22620208C211yesmaximal, characteristic, complemented
5#22620171C211yesmaximal, characteristic, complemented
6#22620169C211yesmaximal, characteristic, complemented
7#22620128C211yesmaximal, characteristic, complemented
8#22620117C211yesmaximal, characteristic, complemented
9#22620113C211yesmaximal, characteristic, complemented
10#22620081C211yesmaximal, characteristic, complemented
11#22620075C211yesmaximal, characteristic, complemented
12#22620074C211yesmaximal, characteristic, complemented
13#22620066C211yesmaximal, characteristic, complemented
14#22620047C211yesmaximal, characteristic, complemented
15#22620033C211yesmaximal, characteristic, complemented
16#22620021C211yesmaximal, characteristic, complemented
17#22620019C211yesmaximal, characteristic, complemented
18#22619921C211yesmaximal, characteristic, complemented
19#22619882C211yesmaximal, characteristic, complemented
20#22619796C211yesmaximal, characteristic, complemented
21#22619759C211yesmaximal, characteristic, complemented
22#22619467C211yesmaximal, characteristic, complemented
23#22619429C211yesmaximal, characteristic, complemented
24#22619233C211yesmaximal, characteristic, complemented
25#22619196C211yesmaximal, characteristic, complemented
26C4×#14556618C211yesmaximal, characteristic, complemented
27C4×#14556615C211yesmaximal, characteristic, complemented
28#22618726C211yesmaximal, characteristic, complemented
29#442×D73C211yesmaximal, characteristic, complemented
30#22618579C211yesmaximal, characteristic, complemented
31C73×#3119C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556612C2211yescharacteristic
36C2×D8×D73C2211yescharacteristic
37#17989217C2211yescharacteristic, complemented
38#17989208C2211yescharacteristic, complemented
39#17989205—21no—
40#17989202C2211yescharacteristic, complemented
41#17989188C2211yescharacteristic, complemented
42#17989187—21no—
43#17989173—21no—
44#17989169—21no—
45#17989166C2211yescharacteristic
46#17989153C2211yescharacteristic
47#17989150C2211yescharacteristic, complemented
48#17989135C2211yescharacteristic, complemented
49#17989132—21no—
50#17989132C2211yescharacteristic, complemented
51#17989122C2211yescharacteristic, complemented
52#17989118C2211yescharacteristic, complemented
53#17989114—21no—
54#17989097—21no—
55#17989095—21no—
56#17989069C2211yescharacteristic
57#17989069C2211yescharacteristic, complemented
58#17989068—21no—
59#17989068C2211yescharacteristic
60#17989061—21no—
61#17989061C2211yescharacteristic, complemented
62#17989059—21no—
63#17989059—21no—
64#17989059C2211yescharacteristic
65#17989059C2211yescharacteristic, complemented
66#41×Dic73C2211yescharacteristic, complemented
67C4×#11924029C2211yescharacteristic
68C4×#11924029C2211yescharacteristic, complemented
69#17989055—21no—
70#17989055C2211yescharacteristic
71C4×#11924027C2211yescharacteristic, complemented
72C2×#14556553—21no—
73C2×#14556553C2211yescharacteristic, complemented
74C4×D4×D73—21no—
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic, complemented
79#17988931C2211yescharacteristic, complemented
80#17988929C2211yescharacteristic, complemented
81#17988919C2211yescharacteristic, complemented
82#17988917C2211yescharacteristic, complemented
83#17988914C2211yescharacteristic, complemented
84#17988912C2211yescharacteristic, complemented
85#17988909C2211yescharacteristic, complemented
86#17988909C2211yescharacteristic, complemented
87#17988908C2211yescharacteristic, complemented
88#17988908C2211yescharacteristic, complemented
89#17988905C2211yescharacteristic, complemented
90#17988904C2211yescharacteristic, complemented
91#17988904C2211yescharacteristic, complemented
92#17988902C2211yescharacteristic, complemented
93#17988892C2211yescharacteristic, complemented
94#17988890C2211yescharacteristic, complemented
95#17988890C2211yescharacteristic, complemented
96#17988885C2211yescharacteristic, complemented
97#17988884C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988878C2211yescharacteristic, complemented
100#17988877C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988872C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988868C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988809C2211yescharacteristic, complemented
108#17988807C2211yescharacteristic, complemented
109#17988803C2211yescharacteristic, complemented
110#17988803C2211yescharacteristic, complemented
111#17988802C2211yescharacteristic, complemented
112#17988801C2211yescharacteristic, complemented
113#17988801C2211yescharacteristic, complemented
114#17988800C2211yescharacteristic, complemented
115#17988785C2211yescharacteristic, complemented
116#17988781C2211yescharacteristic, complemented
117#17988781C2211yescharacteristic, complemented
118#17988780C2211yescharacteristic, complemented
119#17988779C2211yescharacteristic, complemented
120#17988779C2211yescharacteristic, complemented
121#17988752C2211yescharacteristic, complemented
122#17988749C2211yescharacteristic, complemented
123#17988740C2211yescharacteristic, complemented
124#17988739C2211yescharacteristic, complemented
125#17988735C2211yescharacteristic
126#17988732C2211yescharacteristic
127#17988731C2211yescharacteristic
128#17988731C2211yescharacteristic, complemented
129#17988723C2211yescharacteristic
130#17988722C2211yescharacteristic
131#17988720C2211yescharacteristic
132#17988720C2211yescharacteristic, complemented
133#17988719C2211yescharacteristic
134#17988719C2211yescharacteristic, complemented
135#17988700C2211yescharacteristic, complemented
136#17988699C2211yescharacteristic, complemented
137#17988699C2211yescharacteristic, complemented
138#17988698C2211yescharacteristic, complemented
139#17988698C2211yescharacteristic, complemented
140#17988697C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988697C2211yescharacteristic, complemented
143#17988696C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988692C2211yescharacteristic, complemented
149#17988691C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic, complemented
151#17988689C2211yescharacteristic, complemented
152#17988688C2211yescharacteristic, complemented
153#17988688C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic, complemented
155#17988686C2211yescharacteristic, complemented
156#17988684C2211yescharacteristic, complemented
157C4×#11924017C2211yescharacteristic, complemented
158C4×#11924015C2211yescharacteristic, complemented
159C4×#11924016C2211yescharacteristic, complemented
160C4×D584C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162C4×#11924013C2211yescharacteristic, complemented
163#17988649C2211yescharacteristic, complemented
164#17988648C2211yescharacteristic, complemented
165#17988646C2211yescharacteristic, complemented
166#17988643C2211yescharacteristic, complemented
167#17988643C2211yescharacteristic, complemented
168#17988641C2211yescharacteristic, complemented
169#17988641C2211yescharacteristic, complemented
170#17988628C2211yescharacteristic, complemented
171#17988626C2211yescharacteristic, complemented
172#17988624C2211yescharacteristic, complemented
173#106×D73C2211yescharacteristic, complemented
174#17988612C2211yescharacteristic, complemented
175#17988612C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic
179#17988585C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic
181#17988580C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186C4×#11924011C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic, complemented
190#481×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#460×C73C2211yescharacteristic, complemented
195#459×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556637—24no—
204#14556637—24no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212C22×D292—21no—
213C22×D292C2311yescharacteristic
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220C22×C4×D73—21no—
221C22×C4×D73—21no—
222C22×C4×D73—21no—
223#14556618—24no—
224#14556615—24no—
225#14556612—24no—
226C2×#11924018C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238D8×D73—24no—
239C2×#11924011C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556591C2311yescharacteristic
244#14556590—21no—
245#14556590C2311yescharacteristic
246#14556587—21no—
247#14556587C2311yescharacteristic
248#14556586—21no—
249#14556586—21no—
250#14556584—21no—
251#14556584—21no—
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556579C2311yescharacteristic
255#14556578—21no—
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556576—21no—
262#14556574—21no—
263#14556574—21no—
264#14556573—21no—
265#14556573—21no—
266#14556572—21no—
267#14556571—21no—
268#14556571C2311yescharacteristic
269#14556570—21no—
270#14556570C2311yescharacteristic
271#14556569—21no—
272#14556569—21no—
273#14556568—21no—
274#14556566C2311yescharacteristic
275#14556565—21no—
276#14556565C2311yescharacteristic
277#14556564—21no—
278#14556564—21no—
279#14556563—21no—
280#14556563—21no—
281#14556563—21no—
282#14556563—21no—
283#14556562—21no—
284#14556562—21no—
285#14556562C2311yescharacteristic
286#14556562C2311yescharacteristic
287#14556561—21no—
288#14556559—21no—
289#14556559—21no—
290#14556559—21no—
291Q8×Dic73C2311yescharacteristic
292Q8×Dic73C2311yescharacteristic
293C4×Dic146C2311yescharacteristic
294#14556556—21no—
295#14556556D411yescharacteristic
296#14556556D411yescharacteristic
297#14556556C2311yescharacteristic
298C4×D292—21no—
299C4×D292—21no—
300C4×D292—21no—
301C4×D292—21no—
302C4×D292C2311yescharacteristic
303C4×D292C2311yescharacteristic
304C4×D292C2311yescharacteristic
305C4×D292C2311yescharacteristic
306C4×D292C2311yescharacteristic
307D4×Dic73—21no—
308D4×Dic73—21no—
309D4×Dic73—21no—
310D4×Dic73—21no—
311D4×Dic73C2311yescharacteristic
312D4×Dic73C2311yescharacteristic
313D4×Dic73C2311yescharacteristic
314D4×Dic73C2311yescharacteristic
315#14556553—21no—
316#14556553—21no—
317#14556553—21no—
318#14556553—21no—
319#14556553—21no—
320#14556553—21no—
321#14556553—21no—
322#14556553—21no—
323#14556553—21no—
324#14556553—21no—
325#14556553D411yescharacteristic
326#14556553D411yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330#14556553C2311yescharacteristic
331#14556553C2311yescharacteristic
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551D411yescharacteristic
348#14556551D411yescharacteristic
349#14556551D411yescharacteristic
350#14556551D411yescharacteristic
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556548C2311yescharacteristic
363#14556547—21no—
364#14556547—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C2×#11924005—21no—
372C2×#11924005—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465C2×C4⋊C4×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—22no—
489#11924029—22no—
490#11924029—22no—
491#11924029#4114yescomplemented
492#11924028—28no—
493#11924028—22no—
494#11924028—22no—
495#11924027—22no—
496#11924027—22no—
497#11924027—82no—
498#11924027—82no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×D292—28no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—22no—
508C2×D292—22no—
509C2×D292—21no—
510C2×D292C2×D411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
524C2×C22⋊D73C2×D411yescharacteristic
525D4×D73—28no—
526D4×D73—28no—
527D4×D73—22no—
528D4×D73—22no—
529D4×D73—22no—
530D4×D73—22no—
531D4×D73—22no—
532D4×D73#4114yescomplemented
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73C2×D411yescharacteristic
539C22×Dic73C2×D411yescharacteristic
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—82no—
556C2×C4×D73—82no—
557C2×C4×D73—82no—
558C2×C4×D73—82no—
559C2×C4×D73C2×D411yescharacteristic
560C2×C4×D73C2×D411yescharacteristic
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565#11924018—22no—
566#11924017—22no—
567#11924017—22no—
568#11924016—22no—
569#11924015—22no—
570D584—22no—
571D584—22no—
572#11924013—22no—
573#11924013—22no—
574#11924013—22no—
575#11924013—22no—
576#11924013—22no—
577#11924011—22no—
578#11924011—22no—
579C2×#10596831C2411yescharacteristic
580C2×#10596831C2411yescharacteristic
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C8×D73—22no—
584C8×D73—22no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654#41×C73—22no—
655#41×C73—22no—
656C2×Q8×C73C2411yescharacteristic
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73C2411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73C2411yescharacteristic
672SD16×C73—22no—
673SD16×C73—22no—
674D8×C73—22no—
675D8×C73—22no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73C2×D411yescharacteristic
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73C2×D411yescharacteristic
698C22⋊C4×C73C2×D411yescharacteristic
699C42×C73—21no—
700C42×C73—21no—
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73—21no—
706C23×C73C22×D411yescharacteristic
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—24no—
710C22×D73—24no—
711C22×D73—24no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73C2×#4112yes—
726D4×C73—24no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73C2×#4112yes—
737C2×C4×C73—24no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C2511yescharacteristic
756C22⋊D73—24no—
757C22⋊D73—22no—
758C22⋊D73—22no—
759C22⋊D73—24no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—41no—
773C2×Dic73—41no—
774C2×Dic73—42no—
775C2×Dic73—42no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73—81no—
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785D292—24no—
786D292—24no—
787D292—24no—
788D292—22no—
789D292—21no—
790D292—21no—
791D292—21no—
792D292—21no—
793D292—81no—
794D292C2×#4112yes—
795D292C2×#4112yes—
796C4×D73—24no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—24no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—41no—
803C4×D73—41no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815C4×D73—81no—
816C4×D73—81no—
817C4×D73C2×#4112yes—
818C4×D73C2×#4112yes—
819Dic146—22no—
820Dic146—21no—
821Dic146—21no—
822Dic146—81no—
823Dic146—81no—
824C8×C73—21no—
825C8×C73—21no—
826C8×C73—21no—
827C8×C73—21no—
828#10596831—21no—
829#10596831—21no—
830#10596831—21no—
831#10596831—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—22no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—22no—
851C2×D73—22no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—41no—
859C2×D73—84no—
860C2×D73—84no—
861C2×D73—84no—
862C2×D73—84no—
863C2×D73#52512yes—
864C4×C73—21no—
865C4×C73—21no—
866C4×C73—21no—
867C4×C73—21no—
868C4×C73—21no—
869C4×C73—22no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73C22×#4111yescharacteristic
875C4×C73C22×#4111yescharacteristic
876Dic73—21no—
877Dic73—21no—
878Dic73—21no—
879Dic73—21no—
880Dic73—21no—
881Dic73—41no—
882Dic73—41no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73#52512yes—
887#60574—731nomaximal, Sylow
888C2×C73—41no—
889C2×C73—42no—
890C2×C73—81no—
891C2×C73—81no—
892C2×C73C2×#52511yescharacteristic
893C2×C73#358511yescharacteristic
894C2×C73#358511yescharacteristic
895D73—22no—
896D73—41no—
897D73—42no—
898D73—42no—
899D73—81no—
900#3460—731no—
901C4×H(5,𝔽2)—731no—
902#3125—731no—
903#3125—731no—
904#3122—731no—
905#3122—731no—
906#3119—731no—
907#3119D7311yescharacteristic, complemented
908#3118—731no—
909#3118—731no—
910#3115—731no—
911#3115—731no—
912#3114—731no—
913#3114—731no—
914#3111—731no—
915#3111—731no—
916#3109—731no—
917#3109—731no—
918#3099—731no—
919#3096—731no—
920#3084—731no—
921#3081—731no—
922#3045—731no—
923#3041—731no—
924#3012—731no—
925#3008—731no—
926C4×AGL(1,ℤ/8)—731no—
927C4×AGL(1,ℤ/8)—731no—
928#2943—731no—
929C2×#442—731no—
930#2923—731no—
931C73#6057411yescharacteristic, complemented, Sylow
932C2×H(5,𝔽2)—731no—
933C2×AGL(1,ℤ/8)—731no—
934C2×AGL(1,ℤ/8)—731no—
935C2×#135—731no—
936C22×D8—731no—
937#544—731no—
938#542—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—1461no—
943#540C2×D7311yescharacteristic, complemented
944#538—1461no—
945#538—1461no—
946#537—731no—
947#535—731no—
948#535—731no—
949#532—731no—
950#532—731no—
951#532—1461no—
952#529—731no—
953#529—731no—
954#529—1461no—
955#525—1461no—
956#525—1461no—
957#520—731no—
958#520—731no—
959#520—731no—
960#520—1461no—
961#520C2×D7311yescharacteristic, complemented
962#518—731no—
963#518—731no—
964#518—731no—
965#518—1461no—
966#518—1461no—
967#518—1461no—
968C4×#41—731no—
969C4×#41—731no—
970C4×#41—731no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—1461no—
974C2×C4×D4—731no—
975C2×C4×D4—731no—
976C2×C4×D4—731no—
977C2×C4×D4—731no—
978C2×C4×D4—1461no—
979C2×C4×D4—1461no—
980C2×C4×D4—1461no—
981#485—731no—
982#485—731no—
983#483—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#482—731no—
988#482—731no—
989#482—731no—
990#482—731no—
991#481—731no—
992#481—731no—
993#481—731no—
994#481C2×D7311yescharacteristic, complemented
995#480—731no—
996#480C2×D7311yescharacteristic, complemented
997#479—731no—
998#479C2×D7311yescharacteristic, complemented
999#478—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#478C2×D7311yescharacteristic, complemented
1005#476—731no—
1006#476—731no—
1007#476—731no—
1008#476—731no—
1009#475—731no—
1010#475—731no—
1011#474—731no—
1012#474—731no—
1013#464—731no—
1014#464—731no—
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#463—731no—
1021#460—731no—
1022#460C2×D7311yescharacteristic, complemented
1023#459—731no—
1024#459—731no—
1025#459—731no—
1026#459—731no—
1027#459—731no—
1028#459C2×D7311yescharacteristic, complemented
1029#452—731no—
1030#452—731no—
1031#450—731no—
1032#450—731no—
1033#449—731no—
1034#449—731no—
1035#449—731no—
1036#449—731no—
1037#449C2×D7311yescharacteristic
1038#449C2×D7311yescharacteristic, complemented
1039#447—731no—
1040#447—731no—
1041#447—731no—
1042#447—731no—
1043#447—731no—
1044#447—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#442—731no—
1050#442—731no—
1051#442—731no—
1052#442—731no—
1053#442—731no—
1054#442—731no—
1055#442—731no—
1056#442—731no—
1057#442—731no—
1058#442C2×D7311yescharacteristic, complemented
1059#441—731no—
1060#441—731no—
1061#440—731no—
1062#440—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068#440C2×D7311yescharacteristic, complemented
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×SD16—731no—
1072C4×SD16C2×D7311yescharacteristic, complemented
1073C4×D8—731no—
1074C4×D8—731no—
1075C4×D8—731no—
1076C4×D8C2×D7311yescharacteristic, complemented
1077#433—731no—
1078#433—731no—
1079#433—731no—
1080#433C2×D7311yescharacteristic, complemented
1081#432—731no—
1082#432—731no—
1083#432—731no—
1084#432—731no—
1085#428—731no—
1086#428—731no—
1087#427—731no—
1088C2×#106—731no—
1089#424—731no—
1090#424—731no—
1091#418—731no—
1092#418—731no—
1093#417—731no—
1094#417—731no—
1095#416—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#102—731no—
1099#408—731no—
1100#408—731no—
1101C4×M16—731no—
1102C2×#97—731no—
1103H(5,𝔽2)—1464no—
1104H(5,𝔽2)—1464no—
1105C2×#41—731no—
1106C2×#41—731no—
1107C2×#41—731no—
1108C2×#41—731no—
1109C2×#41—1461no—
1110C2×#41—1461no—
1111C2×#41—1461no—
1112C2×#41C22×D7311yescharacteristic
1113C22×D4—731no—
1114C22×D4—731no—
1115C22×D4—731no—
1116C22×D4—731no—
1117C22×D4—1461no—
1118C22×D4—1461no—
1119C22×D4—1461no—
1120C23×C4—1461no—
1121C23×C4—1461no—
1122C23×C4—1461no—
1123C23×C4—1461no—
1124AGL(1,ℤ/8)—1464no—
1125AGL(1,ℤ/8)—1464no—
1126#135—1464no—
1127C2×Q16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×D8—731no—
1141C2×D8—1464no—
1142C2×D8C22×D7311yescharacteristic
1143C2×D8C22×D7311yescharacteristic
1144C2×M16—731no—
1145C2×M16—731no—
1146C22×C8—731no—
1147C22×C8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—1461no—
1151#127—731no—
1152#127—1461no—
1153#127C22×D7311yescharacteristic
1154#126—1461no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—731no—
1159#125—1461no—
1160#125C22×D7311yescharacteristic
1161#124—731no—
1162#124—731no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#123—21no—
1169#123—21no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176C22⋊Q8—731no—
1177C22⋊Q8—731no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8—1461no—
1183#121—21no—
1184#121—21no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121C22×D7311yescharacteristic
1199#121C22×D7311yescharacteristic
1200#120—1461no—
1201#120—1461no—
1202#120—1461no—
1203#120—1461no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—731no—
1207C4×Q8—731no—
1208C4×Q8—731no—
1209C4×Q8—731no—
1210C4×Q8—1461no—
1211C4×Q8C22×D7311yescharacteristic
1212C4×Q8C22×D7311yescharacteristic
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4C22×D7311yescharacteristic
1269C4×D4C22×D7311yescharacteristic
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272#117—21no—
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117C22×D7311yescharacteristic
1288C2×C4⋊C4—21no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4C22×D7311yescharacteristic
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C22⋊C4—1461no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—731no—
1308C2×C42—1461no—
1309C2×C42—1461no—
1310C2×C42—1461no—
1311C2×C42—1461no—
1312#107—731no—
1313#107—731no—
1314#107—731no—
1315#107—731no—
1316#107C22×D7311yescharacteristic
1317#107C22×D7311yescharacteristic
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
1325#106—731no—
1326#106C22×D7311yescharacteristic
1327#106C22×D7311yescharacteristic
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335C4⋊C8C22×D7311yescharacteristic
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103C22×D7311yescharacteristic
1343#103C22×D7311yescharacteristic
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367#102C22×D7311yescharacteristic
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373C22⋊C8—731no—
1374C22⋊C8C22×D7311yescharacteristic
1375C22⋊C8C22×D7311yescharacteristic
1376#97—731no—
1377#97—731no—
1378#97—731no—
1379#97—731no—
1380#97—731no—
1381#97C22×D7311yescharacteristic
1382C4×C8—731no—
1383C4×C8C22×D7311yescharacteristic
1384C24—1461no—
1385C24—1461no—
1386C24—1461no—
1387C24—1461no—
1388#41—22no—
1389#41—22no—
1390#41—5842no—
1391#41—5842no—
1392#41—734no—
1393#41—1462no—
1394#41—1462no—
1395#41—1468no—
1396#41—1462no—
1397#41—1462no—
1398#41—1462no—
1399#41—1462no—
1400#41—1462no—
1401C2×Q8—731no—
1402C2×Q8—731no—
1403C2×Q8—1461no—
1404C2×Q8—1461no—
1405C2×Q8C23×D7311yescharacteristic
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—734no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—1461no—
1419C2×D4—1462no—
1420C2×D4—1462no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1468no—
1424C2×D4—1462no—
1425C2×D4—1462no—
1426C2×D4—1462no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1462no—
1433C2×D4—1468no—
1434C2×D4—1468no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1462no—
1440C2×D4—1461no—
1441C2×D4C23×D7311yescharacteristic
1442C2×D4C23×D7311yescharacteristic
1443C2×D4C23×D7311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—5842no—
1451C22×C4—5842no—
1452C22×C4—5842no—
1453C22×C4—5842no—
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—1461no—
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×C4C23×D7311yescharacteristic
1483Q16—1462no—
1484SD16—22no—
1485SD16—22no—
1486SD16—1462no—
1487SD16—1462no—
1488SD16—1462no—
1489SD16—1462no—
1490D8—22no—
1491D8—22no—
1492D8—1462no—
1493D8—1462no—
1494D8—1462no—
1495D8—1462no—
1496D8—1462no—
1497D8—1462no—
1498D8—1462no—
1499M16—1462no—
1500M16—1462no—
1501C2×C8—731no—
1502C2×C8—731no—
1503C2×C8—731no—
1504C2×C8—731no—
1505C2×C8—1462no—
1506C2×C8—1462no—
1507C2×C8C23×D7311yescharacteristic
1508C2×C8C23×D7311yescharacteristic
1509C2×C8C23×D7311yescharacteristic
1510C2×C8C23×D7311yescharacteristic
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
1523C4⋊C4—731no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4D4×D7311yescharacteristic
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C4⋊C4C23×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4D4×D7311yescharacteristic
1582C22⋊C4D4×D7311yescharacteristic
1583C42—21no—
1584C42—21no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C42C23×D7311yescharacteristic
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—2922no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—5841no—
1614C23—5841no—
1615C23—731no—
1616C23—731no—
1617C23—1464no—
1618C23—1464no—
1619C23—1464no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23C2×D4×D7311yescharacteristic
1624Q8—21no—
1625Q8—5841no—
1626Q8—5841no—
1627Q8—1462no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8#41×D7312yes—
1631D4—24no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—2922no—
1642D4—2922no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—732no—
1650D4—732no—
1651D4—1462no—
1652D4—1464no—
1653D4—1464no—
1654D4—1464no—
1655D4—1462no—
1656D4—1464no—
1657D4—1462no—
1658D4—1464no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4#41×D7312yes—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—2921no—
1678C2×C4—2921no—
1679C2×C4—2921no—
1680C2×C4—2921no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2922no—
1686C2×C4—2922no—
1687C2×C4—2922no—
1688C2×C4—2921no—
1689C2×C4—2921no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—5841no—
1697C2×C4—5841no—
1698C2×C4—5841no—
1699C2×C4—5841no—
1700C2×C4—5841no—
1701C2×C4—731no—
1702C2×C4—732no—
1703C2×C4—732no—
1704C2×C4—731no—
1705C2×C4—731no—
1706C2×C4—731no—
1707C2×C4—731no—
1708C2×C4—731no—
1709C2×C4—1464no—
1710C2×C4—1464no—
1711C2×C4—1461no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4C2×D4×D7311yescharacteristic
1719C2×C4C2×D4×D7311yescharacteristic
1720C2×C4C2×D4×D7311yescharacteristic
1721C2×C4C2×D4×D7311yescharacteristic
1722C2×C4C2×D4×D7311yescharacteristic
1723C2×C4C24×D7311yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—1461no—
1729C8—1461no—
1730C8—1461no—
1731C8—1461no—
1732C22—21no—
1733C22—22no—
1734C22—21no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—2921no—
1749C22—2921no—
1750C22—2921no—
1751C22—5844no—
1752C22—5844no—
1753C22—5844no—
1754C22—5844no—
1755C22—732no—
1756C22—1462no—
1757C22—1462no—
1758C22—1461no—
1759C22—1461no—
1760C22—1461no—
1761C22—1461no—
1762C22—1461no—
1763C22C22×D4×D7311yescharacteristic
1764C4—21no—
1765C4—22no—
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—21no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—2921no—
1775C4—2921no—
1776C4—2921no—
1777C4—2921no—
1778C4—2921no—
1779C4—732no—
1780C4—1461no—
1781C4—1461no—
1782C4—1461no—
1783C4—1461no—
1784C4—1461no—
1785C4C2×#41×D7311yescharacteristic
1786C4C2×#41×D7311yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—81no—
1790C2—81no—
1791C2—2922no—
1792C2—2922no—
1793C2—2921no—
1794C2—5841no—
1795C2—1462no—
1796C2#525×D7311yescharacteristic
1797C2#2262470611yescharacteristic
1798C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3119C2
socleC22×C73C23×D4
hypercenter#3119D73
hypocenterC73#60574
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #22623346C2semidirect
2. #22623137C2semidirect
3. #22620214C2semidirect
4. #22620208C2semidirect
5. #22620171C2semidirect
6. #22620169C2semidirect
7. #22620128C2semidirect
8. #22620117C2semidirect
9. #22620113C2semidirect
10. #22620081C2semidirect
11. #22620075C2semidirect
12. #22620074C2semidirect
13. #22620066C2semidirect
14. #22620047C2semidirect
15. #22620033C2semidirect
16. #22620021C2semidirect
17. #22620019C2semidirect
18. #22619921C2semidirect
19. #22619882C2semidirect
20. #22619796C2semidirect
21. #22619759C2semidirect
22. #22619467C2semidirect
23. #22619429C2semidirect
24. #22619233C2semidirect
25. #22619196C2semidirect
26. C4×#14556618C2semidirect
27. C4×#14556615C2semidirect
28. #22618726C2semidirect
29. #442×D73C2semidirect
30. #22618579C2semidirect
31. C73×#3119C2semidirect
37. #17989217C22semidirect
38. #17989208C22semidirect
40. #17989202C22semidirect
41. #17989188C22semidirect
47. #17989150C22semidirect
48. #17989135C22semidirect
50. #17989132C22semidirect
51. #17989122C22semidirect
52. #17989118C22semidirect
57. #17989069C22semidirect
61. #17989061C22semidirect
65. #17989059C22semidirect
66. #41×Dic73C22semidirect
68. C4×#11924029C22semidirect
71. C4×#11924027C22semidirect
73. C2×#14556553C22semidirect
77. C4×D4×D73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988931C22semidirect
80. #17988929C22semidirect
81. #17988919C22semidirect
82. #17988917C22semidirect
83. #17988914C22semidirect
84. #17988912C22semidirect
85. #17988909C22semidirect
86. #17988909C22semidirect
87. #17988908C22semidirect
88. #17988908C22semidirect
89. #17988905C22semidirect
90. #17988904C22semidirect
91. #17988904C22semidirect
92. #17988902C22semidirect
93. #17988892C22semidirect
94. #17988890C22semidirect
95. #17988890C22semidirect
96. #17988885C22semidirect
97. #17988884C22semidirect
98. #17988884C22semidirect
99. #17988878C22semidirect
100. #17988877C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988872C22semidirect
104. #17988870C22semidirect
105. #17988868C22semidirect
106. #17988865C22semidirect
107. #17988809C22semidirect
108. #17988807C22semidirect
109. #17988803C22semidirect
110. #17988803C22semidirect
111. #17988802C22semidirect
112. #17988801C22semidirect
113. #17988801C22semidirect
114. #17988800C22semidirect
115. #17988785C22semidirect
116. #17988781C22semidirect
117. #17988781C22semidirect
118. #17988780C22semidirect
119. #17988779C22semidirect
120. #17988779C22semidirect
121. #17988752C22semidirect
122. #17988749C22semidirect
123. #17988740C22semidirect
124. #17988739C22semidirect
128. #17988731C22semidirect
132. #17988720C22semidirect
134. #17988719C22semidirect
135. #17988700C22semidirect
136. #17988699C22semidirect
137. #17988699C22semidirect
138. #17988698C22semidirect
139. #17988698C22semidirect
140. #17988697C22semidirect
141. #17988697C22semidirect
142. #17988697C22semidirect
143. #17988696C22semidirect
144. #17988696C22semidirect
145. #17988696C22semidirect
146. #17988696C22semidirect
147. #17988696C22semidirect
148. #17988692C22semidirect
149. #17988691C22semidirect
150. #17988690C22semidirect
151. #17988689C22semidirect
152. #17988688C22semidirect
153. #17988688C22semidirect
154. #17988686C22semidirect
155. #17988686C22semidirect
156. #17988684C22semidirect
157. C4×#11924017C22semidirect
158. C4×#11924015C22semidirect
159. C4×#11924016C22semidirect
160. C4×D584C22semidirect
161. C4×#11924013C22semidirect
162. C4×#11924013C22semidirect
163. #17988649C22semidirect
164. #17988648C22semidirect
165. #17988646C22semidirect
166. #17988643C22semidirect
167. #17988643C22semidirect
168. #17988641C22semidirect
169. #17988641C22semidirect
170. #17988628C22semidirect
171. #17988626C22semidirect
172. #17988624C22semidirect
173. #106×D73C22semidirect
174. #17988612C22semidirect
175. #17988612C22semidirect
177. #17988590C22semidirect
179. #17988585C22semidirect
181. #17988580C22semidirect
183. #102×D73C22semidirect
186. C4×#11924011C22semidirect
187. #97×D73C22semidirect
188. #540×C73C22semidirect
189. #520×C73C22semidirect
190. #481×C73C22semidirect
191. #480×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #460×C73C22semidirect
195. #459×C73C22semidirect
197. #449×C73C22semidirect
198. #442×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
491. #11924029#41semidirect
532. D4×D73#41semidirect
907. #3119D73semidirect
931. C73#60574semidirect
943. #540C2×D73semidirect
961. #520C2×D73semidirect
994. #481C2×D73semidirect
996. #480C2×D73semidirect
998. #479C2×D73semidirect
1004. #478C2×D73semidirect
1022. #460C2×D73semidirect
1028. #459C2×D73semidirect
1038. #449C2×D73semidirect
1058. #442C2×D73semidirect
1068. #440C2×D73semidirect
1072. C4×SD16C2×D73semidirect
1076. C4×D8C2×D73semidirect
1080. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226233462
#226231372
#226202142
#226202082
#226201712
#226201692
#226201282
#226201172
#226201132
#226200812
#226200752
#226200742
#226200662
#226200472
#226200332
#226200212
#226200192
#226199212
#226198822
#226197962
#226197592
#226194672
#226194292
#226192332
#226191962
C4×#145566182
C4×#145566152
#226187262
#442×D732
#226185792
C73×#31192
#6057473