Finite Group Databasebeta

← #30548372

Subgroups — #30548372

Order 15616.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459206C211yesmaximal, characteristic, complemented
2#21459017C211yesmaximal, characteristic, complemented
3#21456115C211yesmaximal, characteristic, complemented
4#21456106C211yesmaximal, characteristic, complemented
5#21456101C211yesmaximal, characteristic, complemented
6#21456093C211yesmaximal, characteristic, complemented
7#21456086C211yesmaximal, characteristic, complemented
8#21456078C211yesmaximal, characteristic, complemented
9#21456065C211yesmaximal, characteristic, complemented
10#21456056C211yesmaximal, characteristic, complemented
11#21456050C211yesmaximal, characteristic, complemented
12#21456042C211yesmaximal, characteristic, complemented
13#21456037C211yesmaximal, characteristic, complemented
14#21456029C211yesmaximal, characteristic, complemented
15#21456022C211yesmaximal, characteristic, complemented
16#21456014C211yesmaximal, characteristic, complemented
17#21456003C211yesmaximal, characteristic, complemented
18#21455737C211yesmaximal, characteristic, complemented
19#21455731C211yesmaximal, characteristic, complemented
20#21455608C211yesmaximal, characteristic, complemented
21#21455600C211yesmaximal, characteristic, complemented
22#21455271C211yesmaximal, characteristic, complemented
23#21455271C211yesmaximal, characteristic, complemented
24#21455038C211yesmaximal, characteristic, complemented
25#21455032C211yesmaximal, characteristic, complemented
26#21454616C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28C4×#14519798C211yesmaximal, characteristic, complemented
29C4×#14519796C211yesmaximal, characteristic, complemented
30#433×D61C211yesmaximal, characteristic, complemented
31C61×#3118C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C2×#14519798C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×#14519796C2211yescharacteristic
36C2×#14519796C2211yescharacteristic
37#16840386C2211yescharacteristic, complemented
38#16840383C2211yescharacteristic
39#16840381C2211yescharacteristic, complemented
40#16840372C2211yescharacteristic
41#16840370C2211yescharacteristic, complemented
42#16840365C2211yescharacteristic
43#16840363C2211yescharacteristic, complemented
44#16840358—21no—
45#16840353—21no—
46#16840348—21no—
47#16840346—21no—
48#16840317C2211yescharacteristic, complemented
49#16840311C2211yescharacteristic, complemented
50#16840298—21no—
51#16840295—21no—
52#16840291—21no—
53#16840289—21no—
54#16840275C2211yescharacteristic
55#16840272C2211yescharacteristic
56#16840241—21no—
57#16840241—21no—
58#16840241C2211yescharacteristic
59#16840241C2211yescharacteristic
60#16840241C2211yescharacteristic
61#16840241C2211yescharacteristic
62#16840239C2211yescharacteristic
63#16840239C2211yescharacteristic
64#16840237C2211yescharacteristic
65#16840235—21no—
66#16840235—21no—
67C4×#11758226C2211yescharacteristic, complemented
68C4×#11758224—21no—
69C4×#11758224—21no—
70C4×#11758224C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C4×#11758224C2211yescharacteristic, complemented
75C2×#14519733—21no—
76C2×#14519733—21no—
77#117×D61C2211yescharacteristic
78#117×D61C2211yescharacteristic
79#16840104C2211yescharacteristic
80#16840103C2211yescharacteristic
81#16840100C2211yescharacteristic
82#16840099C2211yescharacteristic, complemented
83#16840096C2211yescharacteristic, complemented
84#16840094C2211yescharacteristic, complemented
85#16840091C2211yescharacteristic, complemented
86#16840087C2211yescharacteristic
87#16840086C2211yescharacteristic
88#16840083C2211yescharacteristic
89#16840082C2211yescharacteristic, complemented
90#16840079C2211yescharacteristic, complemented
91#16840077C2211yescharacteristic, complemented
92#16840074C2211yescharacteristic, complemented
93#16840072C2211yescharacteristic, complemented
94#16840072C2211yescharacteristic, complemented
95#16840068C2211yescharacteristic, complemented
96#16840068C2211yescharacteristic, complemented
97#16840064C2211yescharacteristic, complemented
98#16840064C2211yescharacteristic, complemented
99#16840060C2211yescharacteristic, complemented
100#16840060C2211yescharacteristic, complemented
101#16840058C2211yescharacteristic, complemented
102#16840054C2211yescharacteristic, complemented
103#16840052C2211yescharacteristic, complemented
104#16840048C2211yescharacteristic, complemented
105#16840044C2211yescharacteristic, complemented
106#16840042C2211yescharacteristic, complemented
107#16839985C2211yescharacteristic, complemented
108#16839985C2211yescharacteristic, complemented
109#16839981C2211yescharacteristic, complemented
110#16839981C2211yescharacteristic, complemented
111#16839977C2211yescharacteristic, complemented
112#16839977C2211yescharacteristic, complemented
113#16839971C2211yescharacteristic, complemented
114#16839971C2211yescharacteristic, complemented
115#16839965C2211yescharacteristic, complemented
116#16839965C2211yescharacteristic, complemented
117#16839961C2211yescharacteristic, complemented
118#16839961C2211yescharacteristic, complemented
119#16839955C2211yescharacteristic, complemented
120#16839955C2211yescharacteristic, complemented
121#16839925C2211yescharacteristic
122#16839925C2211yescharacteristic
123#16839921C2211yescharacteristic
124#16839921C2211yescharacteristic
125#16839920C2211yescharacteristic
126#16839917C2211yescharacteristic
127#16839913C2211yescharacteristic
128#16839908C2211yescharacteristic
129#16839908C2211yescharacteristic
130#16839904C2211yescharacteristic
131#16839904C2211yescharacteristic
132#16839903C2211yescharacteristic
133#16839900C2211yescharacteristic
134#16839896C2211yescharacteristic
135#16839874C2211yescharacteristic, complemented
136#16839872C2211yescharacteristic, complemented
137#16839871C2211yescharacteristic, complemented
138#16839870C2211yescharacteristic, complemented
139#16839868C2211yescharacteristic, complemented
140#16839867C2211yescharacteristic, complemented
141#16839866C2211yescharacteristic, complemented
142#16839864C2211yescharacteristic, complemented
143#16839863C2211yescharacteristic, complemented
144#16839862C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839861C2211yescharacteristic, complemented
147#16839859C2211yescharacteristic, complemented
148#16839859C2211yescharacteristic, complemented
149C4×Dic244C2211yescharacteristic, complemented
150#16839856C2211yescharacteristic, complemented
151C4×#11758202C2211yescharacteristic, complemented
152#16839854C2211yescharacteristic, complemented
153#16839853C2211yescharacteristic, complemented
154#16839853C2211yescharacteristic, complemented
155C4×#11758190C2211yescharacteristic, complemented
156SD16×Dic61C2211yescharacteristic, complemented
157#16839849C2211yescharacteristic, complemented
158C4×#11758200C2211yescharacteristic, complemented
159C4×#11758200C2211yescharacteristic, complemented
160D8×Dic61C2211yescharacteristic, complemented
161C4×#11758199C2211yescharacteristic, complemented
162#16839842C2211yescharacteristic, complemented
163#16839824C2211yescharacteristic, complemented
164#16839823C2211yescharacteristic
165#16839822C2211yescharacteristic, complemented
166#16839822C2211yescharacteristic, complemented
167#16839821C2211yescharacteristic, complemented
168#16839820C2211yescharacteristic
169#16839820C2211yescharacteristic
170#16839799C2211yescharacteristic, complemented
171#16839799C2211yescharacteristic, complemented
172#16839797C2211yescharacteristic, complemented
173#16839797C2211yescharacteristic, complemented
174C4⋊C8×D61C2211yescharacteristic, complemented
175C4⋊C8×D61C2211yescharacteristic, complemented
176#16839757C2211yescharacteristic, complemented
177#16839757C2211yescharacteristic, complemented
178#16839755C2211yescharacteristic
179#16839755C2211yescharacteristic
180#16839755C2211yescharacteristic
181#16839755C2211yescharacteristic
182#16839755C2211yescharacteristic, complemented
183#16839755C2211yescharacteristic, complemented
184C22⋊C8×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186#97×D61C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#518C2211yescharacteristic
190C61×#485C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#476C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#463C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#450C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#442C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224—24no—
205C2×#11758224—24no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C2×#11758224C2311yescharacteristic
212C2×#11758224C2311yescharacteristic
213C22×Dic122C2311yescharacteristic
214C22×C22⋊D61—21no—
215C23×Dic61—21no—
216C22×C4×D61C2311yescharacteristic
217#14519798—24no—
218#14519798—24no—
219#14519796—24no—
220#14519796—24no—
221C2×Dic244C2311yescharacteristic
222C2×Dic244C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758202C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C2×C8×D61C2311yescharacteristic
234C2×C8×D61C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237#14519777C2311yescharacteristic
238#14519775C2311yescharacteristic
239#14519773C2311yescharacteristic
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519771—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519769—21no—
248#14519768—21no—
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519767—21no—
252#14519767—21no—
253#14519766—21no—
254#14519765C2311yescharacteristic
255#14519763—21no—
256#14519763—21no—
257#14519762—21no—
258#14519762—21no—
259#14519761—21no—
260#14519761—21no—
261#14519760—21no—
262#14519759—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519757—21no—
267#14519757C2311yescharacteristic
268#14519756C2311yescharacteristic
269#14519755—21no—
270#14519754—21no—
271#14519753—21no—
272#14519753—21no—
273#14519753C2311yescharacteristic
274#14519752C2311yescharacteristic
275#14519751—21no—
276#14519751C2311yescharacteristic
277#14519750—21no—
278#14519750—21no—
279#14519750—21no—
280#14519749—21no—
281#14519748—21no—
282#14519748C2311yescharacteristic
283#14519747—21no—
284#14519745—21no—
285Q8×Dic61—21no—
286Q8×Dic61C2311yescharacteristic
287C4×Dic122—21no—
288C4×Dic122—21no—
289C4×Dic122C2311yescharacteristic
290C4×Dic122C2311yescharacteristic
291C4×Dic122C2311yescharacteristic
292C4×Dic122C2311yescharacteristic
293C4×Dic122C2311yescharacteristic
294#14519742—21no—
295#14519742—21no—
296#14519742—21no—
297#14519742C2311yescharacteristic
298#14519742C2311yescharacteristic
299#14519742C2311yescharacteristic
300#14519742C2311yescharacteristic
301#14519742C2311yescharacteristic
302C4×D244—21no—
303C4×D244C2311yescharacteristic
304D4×Dic61—21no—
305D4×Dic61—21no—
306D4×Dic61—21no—
307D4×Dic61C2311yescharacteristic
308D4×Dic61C2311yescharacteristic
309D4×Dic61C2311yescharacteristic
310D4×Dic61C2311yescharacteristic
311D4×Dic61C2311yescharacteristic
312#14519739—21no—
313#14519739—21no—
314#14519739C2311yescharacteristic
315C4×C22⋊D61—21no—
316C4×C22⋊D61—21no—
317C4×C22⋊D61—21no—
318C4×C22⋊D61—21no—
319C4×C22⋊D61—21no—
320C4×C22⋊D61—21no—
321C4×C22⋊D61—21no—
322C4×C22⋊D61—21no—
323C4×C22⋊D61—21no—
324#14519737—21no—
325#14519737—21no—
326#14519737—21no—
327#14519737—21no—
328#14519737—21no—
329#14519737—21no—
330#14519737—21no—
331#14519737—21no—
332#14519737—21no—
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519736C2311yescharacteristic
338#14519736C2311yescharacteristic
339#14519735—21no—
340#14519735D411yescharacteristic
341#14519735D411yescharacteristic
342#14519735C2311yescharacteristic
343#14519735C2311yescharacteristic
344#14519735C2311yescharacteristic
345#14519735C2311yescharacteristic
346#14519734—21no—
347#14519734C2311yescharacteristic
348#14519734C2311yescharacteristic
349#14519733—21no—
350#14519733—21no—
351#14519733—21no—
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363#14519733D411yescharacteristic
364#14519733D411yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—21no—
367C2×#11758196—21no—
368C2×#11758196—21no—
369C4⋊C4×D61D411yescharacteristic
370C4⋊C4×D61D411yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C2×C22⋊Dic61—21no—
374C2×C22⋊Dic61—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61D411yescharacteristic
377C22⋊C4×D61D411yescharacteristic
378C2×C4×Dic61—21no—
379C2×C4×Dic61—21no—
380C2×C4×Dic61—21no—
381C2×C4×Dic61—21no—
382C2×C4×Dic61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386C42×D61C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C4×#92418C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C22×D4×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic
447#126×C61—21no—
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463#117×C61C2311yescharacteristic
464C2×C22⋊C4×C61—21no—
465C2×C22⋊C4×C61—21no—
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61C2×D411yescharacteristic
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—22no—
489C2×D4×C61—22no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C2×C22⋊D61—28no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C22×Dic61—28no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61C2×D411yescharacteristic
524#11758226—22no—
525#11758226—22no—
526#11758224—28no—
527#11758224—28no—
528#11758224—22no—
529#11758224—22no—
530#11758224—22no—
531#11758224—22no—
532#11758224—22no—
533#11758224—22no—
534#11758224—22no—
535#11758224—22no—
536#11758224#4114yes—
537#11758224#4114yes—
538C2×D244—21no—
539C2×D244—21no—
540C2×D244C2411yescharacteristic
541C2×C4×D61—22no—
542C2×C4×D61—22no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61C2×D411yescharacteristic
549C2×C4×D61C2×D411yescharacteristic
550C2×C4×D61C2×D411yescharacteristic
551C2×C4×D61C2×D411yescharacteristic
552C2×C4×D61C2×D411yescharacteristic
553C2×C4×D61C2×D411yescharacteristic
554C2×C4×D61C2411yescharacteristic
555C2×C4×D61C2411yescharacteristic
556C2×Dic122—21no—
557C2×Dic122—22no—
558C2×Dic122—22no—
559C2×Dic122—21no—
560C2×Dic122C2411yescharacteristic
561C2×Dic122C2411yescharacteristic
562C2×Dic122C2411yescharacteristic
563SD16×C61—22no—
564SD16×C61—22no—
565D8×C61—22no—
566D8×C61—22no—
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61C2×D411yescharacteristic
591C22⋊C4×C61C2×D411yescharacteristic
592C42×C61—21no—
593C42×C61—21no—
594C42×C61C2411yescharacteristic
595C42×C61C2411yescharacteristic
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61C2×D411yescharacteristic
605C22⋊Dic61C2×D411yescharacteristic
606#11758202—22no—
607#11758202—22no—
608#11758200—22no—
609#11758200—22no—
610#11758200—22no—
611#11758200—22no—
612#11758199—22no—
613#11758199—22no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198C2×D411yescharacteristic
627#11758198C2×D411yescharacteristic
628#11758198C2×D411yescharacteristic
629#11758198C2×D411yescharacteristic
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2×D411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661#11758196C2×D411yescharacteristic
662#11758196C2×D411yescharacteristic
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61C2×D411yescharacteristic
680C4×Dic61C2×D411yescharacteristic
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686C2×#92418C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689Dic244—22no—
690Dic244—22no—
691#11758190—22no—
692#11758190—22no—
693C8×D61—22no—
694C8×D61—22no—
695C8×D61—22no—
696C8×D61—22no—
697C23×C61—24no—
698C23×C61—21no—
699C23×C61—21no—
700C23×C61—21no—
701C23×C61—81no—
702C23×C61—81no—
703C23×C61C22×D411yescharacteristic
704C22×D61—22no—
705C22×D61—21no—
706C22×D61—41no—
707C22×D61—41no—
708C22×D61C22×D411yescharacteristic
709C22×D61C22×D411yescharacteristic
710Q8×C61—21no—
711Q8×C61—21no—
712Q8×C61—81no—
713D4×C61—24no—
714D4×C61—21no—
715D4×C61—21no—
716D4×C61—21no—
717D4×C61—21no—
718D4×C61—81no—
719D4×C61C2×#4112yes—
720D4×C61C2×#4112yes—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—81no—
729C2×C4×C61—81no—
730C2×C4×C61—81no—
731C2×C4×C61—81no—
732C2×C4×C61—81no—
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C2511yescharacteristic
739C22⋊D61—24no—
740C22⋊D61—24no—
741C22⋊D61—24no—
742C22⋊D61—24no—
743C22⋊D61—42no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C2×Dic61—24no—
749C2×Dic61—24no—
750C2×Dic61—24no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—22no—
754C2×Dic61—24no—
755C2×Dic61—24no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—42no—
762C2×Dic61—81no—
763C2×Dic61—81no—
764C2×Dic61—81no—
765C2×Dic61—81no—
766C2×Dic61—81no—
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773D244—21no—
774D244—21no—
775D244—42no—
776D244—81no—
777C4×D61—22no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—22no—
781C4×D61—41no—
782C4×D61—41no—
783C4×D61—41no—
784C4×D61—41no—
785C4×D61—42no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61C2×#4112yes—
791C4×D61C2×#4112yes—
792Dic122—24no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—21no—
797Dic122—81no—
798Dic122C2×#4112yes—
799Dic122C2×#4112yes—
800C8×C61—21no—
801C8×C61—21no—
802C8×C61—21no—
803C8×C61—21no—
804#92418—21no—
805#92418—21no—
806#92418—21no—
807#92418—21no—
808#60557—611nomaximal, Sylow
809C22×C61—21no—
810C22×C61—21no—
811C22×C61—21no—
812C22×C61—22no—
813C22×C61—22no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—84no—
822C22×C61C23×D411yescharacteristic
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—82no—
832C2×D61#52512yes—
833C4×C61—21no—
834C4×C61—21no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—41no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61C22×#4111yescharacteristic
844C4×C61C22×#4111yescharacteristic
845Dic61—21no—
846Dic61—21no—
847Dic61—21no—
848Dic61—21no—
849Dic61—22no—
850Dic61—22no—
851Dic61—21no—
852Dic61—41no—
853Dic61—41no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61#52512yes—
858#3455—611no—
859#3428—611no—
860#3127—611no—
861#3126—611no—
862#3125—611no—
863#3125—611no—
864#3124—611no—
865#3124—611no—
866#3123—611no—
867#3122—611no—
868#3121—611no—
869#3121—611no—
870#3120—611no—
871#3120—611no—
872#3119—611no—
873#3119—611no—
874#3118—611no—
875#3118D6111yescharacteristic, complemented
876#3091—611no—
877#3091—611no—
878#3076—611no—
879#3076—611no—
880#3035—611no—
881#3035—611no—
882#3002—611no—
883#3002—611no—
884#2943—611no—
885#2943—611no—
886C4×#135—611no—
887C4×#135—611no—
888C2×#433—611no—
889C2×C61—41no—
890C2×C61—42no—
891C2×C61—42no—
892C2×C61—81no—
893C2×C61C2×#52511yescharacteristic
894C2×C61#358411yescharacteristic
895C2×C61#358411yescharacteristic
896D61—22no—
897D61—41no—
898D61—81no—
899C22×#41—611no—
900C2×#135—611no—
901C2×#135—611no—
902C2×#135—611no—
903C2×#135—611no—
904#542—611no—
905#542—611no—
906#542—611no—
907#542C2×D6111yescharacteristic
908#541—611no—
909#541—611no—
910#540—611no—
911#540—611no—
912#539—1221no—
913#539—1221no—
914#538—1221no—
915#538—1221no—
916#533—611no—
917#532—611no—
918#529—1221no—
919#529—1221no—
920#529—1221no—
921#529—1221no—
922#525—611no—
923#525—611no—
924#520—611no—
925#520—611no—
926#520—611no—
927#520—611no—
928#520—1221no—
929#520—1221no—
930#519—611no—
931#519—611no—
932#518—611no—
933#518—1221no—
934#518—1221no—
935#518C2×D6111yescharacteristic
936C4×#41—611no—
937C4×#41—611no—
938C4×#41—611no—
939C4×#41—611no—
940C4×#41—611no—
941C4×#41—611no—
942C4×#41—1221no—
943C4×#41—1221no—
944C2×#117—611no—
945C2×#117—611no—
946C2×#117—1221no—
947C2×#117—1221no—
948#485—611no—
949#485—611no—
950#485—611no—
951#485C2×D6111yescharacteristic
952#484—611no—
953#484—611no—
954#483—611no—
955#483—611no—
956#482—611no—
957#482—611no—
958#482—611no—
959#482C2×D6111yescharacteristic
960#481—611no—
961#481—611no—
962#480—611no—
963#480—611no—
964#479—611no—
965#479—611no—
966#479—611no—
967#479—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#477—611no—
973#477—611no—
974#476—611no—
975#476C2×D6111yescharacteristic, complemented
976#475—611no—
977#475—611no—
978#474—611no—
979#474C2×D6111yescharacteristic, complemented
980#464—611no—
981#464—611no—
982#464—611no—
983#464—611no—
984#463—611no—
985#463—611no—
986#463C2×D6111yescharacteristic, complemented
987#463C2×D6111yescharacteristic, complemented
988#462—611no—
989#462—611no—
990#461—611no—
991#461—611no—
992#460—611no—
993#460—611no—
994#459—611no—
995#459—611no—
996#452—611no—
997#452—611no—
998#452—611no—
999#452—611no—
1000#451—611no—
1001#451—611no—
1002#450—611no—
1003#450C2×D6111yescharacteristic
1004#449—611no—
1005#449—611no—
1006#449—611no—
1007#449—611no—
1008#448—611no—
1009#448—611no—
1010#447—611no—
1011#447C2×D6111yescharacteristic
1012#442—611no—
1013#442—611no—
1014#442—611no—
1015#442C2×D6111yescharacteristic, complemented
1016#441—611no—
1017#441—611no—
1018#441—611no—
1019#441—611no—
1020#440—611no—
1021#440—611no—
1022#440—611no—
1023#440—611no—
1024#440—611no—
1025#440—611no—
1026#440—611no—
1027#440C2×D6111yescharacteristic, complemented
1028C4×Q16—611no—
1029C4×Q16—611no—
1030C4×Q16—611no—
1031C4×Q16—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16—611no—
1035C4×SD16—611no—
1036C4×SD16—611no—
1037C4×SD16—611no—
1038C4×SD16—611no—
1039C4×SD16C2×D6111yescharacteristic, complemented
1040C4×D8—611no—
1041C4×D8—611no—
1042C4×D8—611no—
1043C4×D8C2×D6111yescharacteristic, complemented
1044#433—611no—
1045#433—611no—
1046#433—611no—
1047#433—611no—
1048#433—611no—
1049#433—611no—
1050#433—611no—
1051#433C2×D6111yescharacteristic
1052#427—611no—
1053#427—611no—
1054#427—611no—
1055#427—611no—
1056C2×C4⋊C8—611no—
1057C2×C4⋊C8—611no—
1058#416—611no—
1059#416—611no—
1060#416—611no—
1061#416—611no—
1062#416—611no—
1063#416—611no—
1064#416—611no—
1065#416—611no—
1066C2×C22⋊C8—611no—
1067C2×C22⋊C8—611no—
1068C2×#97—611no—
1069C2×C4×C8—611no—
1070C61#6055711yescharacteristic, complemented, Sylow
1071C2×#41—611no—
1072C2×#41—611no—
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41—1221no—
1078C2×#41—1221no—
1079C2×#41—1224no—
1080C2×#41—1224no—
1081C22×Q8—611no—
1082C22×D4—1221no—
1083C22×D4C22×D6111yescharacteristic
1084C23×C4—611no—
1085C23×C4—1221no—
1086#135—1224no—
1087#135—1224no—
1088#135—1224no—
1089#135—1224no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8—611no—
1104C2×D8C22×D6111yescharacteristic
1105C2×D8C22×D6111yescharacteristic
1106C22×C8—611no—
1107C22×C8—611no—
1108C22×C8—611no—
1109C22×C8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8C22×D6111yescharacteristic
1113#127—611no—
1114#126—21no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#125—611no—
1123#125—611no—
1124#125—1221no—
1125#125—1221no—
1126#125—1221no—
1127#125—1221no—
1128#124—21no—
1129#124—611no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124C22×D6111yescharacteristic
1134#123—21no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144C22⋊Q8—21no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8C22×D6111yescharacteristic
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121C22×D6111yescharacteristic
1164#120—1221no—
1165#120—1221no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×Q8—1221no—
1182C4×Q8—1221no—
1183C4×Q8C22×D6111yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4C22×D6111yescharacteristic
1222C4×D4C22×D6111yescharacteristic
1223C4×D4C22×D6111yescharacteristic
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226#117—611no—
1227#117—611no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—611no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
1250#117—1221no—
1251#117—1221no—
1252#117—1221no—
1253#117—1221no—
1254#117C22×D6111yescharacteristic
1255#117C22×D6111yescharacteristic
1256C2×C4⋊C4—611no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4—611no—
1260C2×C4⋊C4—1221no—
1261C2×C4⋊C4—1221no—
1262C2×C4⋊C4—1221no—
1263C2×C4⋊C4—1221no—
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—1221no—
1269C2×C22⋊C4—1221no—
1270C2×C22⋊C4—1221no—
1271C2×C42—611no—
1272C2×C42—611no—
1273C2×C42—1221no—
1274C2×C42—1221no—
1275C2×C42—1221no—
1276C2×C42—1221no—
1277C2×C42—1221no—
1278C2×C42—1221no—
1279C2×C42—1221no—
1280#107—611no—
1281#107—611no—
1282#107—611no—
1283#107—611no—
1284#107—611no—
1285#107—611no—
1286#107C22×D6111yescharacteristic
1287#107C22×D6111yescharacteristic
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106C22×D6111yescharacteristic
1295#106C22×D6111yescharacteristic
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8C22×D6111yescharacteristic
1303C4⋊C8C22×D6111yescharacteristic
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103C22×D6111yescharacteristic
1319#103C22×D6111yescharacteristic
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102C22×D6111yescharacteristic
1331#102C22×D6111yescharacteristic
1332#102C22×D6111yescharacteristic
1333#102C22×D6111yescharacteristic
1334#102C22×D6111yescharacteristic
1335#102C22×D6111yescharacteristic
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8—611no—
1339C22⋊C8—611no—
1340C22⋊C8—611no—
1341C22⋊C8—611no—
1342C22⋊C8C22×D6111yescharacteristic
1343C22⋊C8C22×D6111yescharacteristic
1344#97—611no—
1345#97—611no—
1346#97—611no—
1347#97C22×D6111yescharacteristic
1348C4×C8—611no—
1349C4×C8—611no—
1350C4×C8—611no—
1351C4×C8C22×D6111yescharacteristic
1352C24—21no—
1353C24—611no—
1354#41—614no—
1355#41—614no—
1356#41—1222no—
1357#41—1222no—
1358#41—1222no—
1359#41—1222no—
1360#41—1222no—
1361#41—1222no—
1362#41—1222no—
1363#41—1222no—
1364#41—1228no—
1365#41—1228no—
1366#41—1222no—
1367#41—1222no—
1368C2×Q8—21no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—611no—
1372C2×Q8—1222no—
1373C2×Q8—1222no—
1374C2×Q8—1221no—
1375C2×Q8—1221no—
1376C2×Q8C23×D6111yescharacteristic
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—611no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1228no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4C23×D6111yescharacteristic
1395C2×D4C23×D6111yescharacteristic
1396C2×D4C23×D6111yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—1222no—
1412C22×C4—1222no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426C22×C4—1221no—
1427C22×C4—1228no—
1428C22×C4—1221no—
1429C22×C4—1221no—
1430C22×C4C23×D6111yescharacteristic
1431Q16—1222no—
1432Q16—1222no—
1433Q16—1222no—
1434Q16—1222no—
1435SD16—22no—
1436SD16—22no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—1222no—
1440SD16—1222no—
1441SD16—1222no—
1442SD16—1222no—
1443D8—22no—
1444D8—22no—
1445D8—1222no—
1446D8—1222no—
1447C2×C8—611no—
1448C2×C8—611no—
1449C2×C8—611no—
1450C2×C8—611no—
1451C2×C8—1222no—
1452C2×C8—1222no—
1453C2×C8—1222no—
1454C2×C8—1222no—
1455C2×C8C23×D6111yescharacteristic
1456C2×C8C23×D6111yescharacteristic
1457C2×C8C23×D6111yescharacteristic
1458C2×C8C23×D6111yescharacteristic
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4D4×D6111yescharacteristic
1496C4⋊C4D4×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C4⋊C4C23×D6111yescharacteristic
1500C4⋊C4C23×D6111yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4D4×D6111yescharacteristic
1538C22⋊C4D4×D6111yescharacteristic
1539C42—21no—
1540C42—21no—
1541C42—611no—
1542C42—611no—
1543C42—611no—
1544C42—611no—
1545C42—611no—
1546C42—611no—
1547C42—1221no—
1548C42—1221no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C42C23×D6111yescharacteristic
1565C23—24no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—81no—
1570C23—81no—
1571C23—611no—
1572C23—611no—
1573C23—1222no—
1574C23—1221no—
1575C23—2441no—
1576C23—2441no—
1577C23C2×D4×D6111yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—81no—
1581Q8—612no—
1582Q8—612no—
1583Q8—1224no—
1584Q8—1221no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—4881no—
1589D4—24no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—81no—
1595D4—1224no—
1596D4—1224no—
1597D4—1224no—
1598D4—1224no—
1599D4—1221no—
1600D4—1221no—
1601D4—4881no—
1602D4—4881no—
1603D4—4881no—
1604D4—4881no—
1605D4—4881no—
1606D4—2442no—
1607D4—2442no—
1608D4#41×D6112yes—
1609D4#41×D6112yes—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—611no—
1623C2×C4—612no—
1624C2×C4—612no—
1625C2×C4—611no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—1222no—
1631C2×C4—1222no—
1632C2×C4—1222no—
1633C2×C4—1224no—
1634C2×C4—1224no—
1635C2×C4—1224no—
1636C2×C4—1224no—
1637C2×C4—1224no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—4881no—
1648C2×C4—4881no—
1649C2×C4—4881no—
1650C2×C4—4881no—
1651C2×C4—4881no—
1652C2×C4—4881no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—2441no—
1657C2×C4—2441no—
1658C2×C4—2441no—
1659C2×C4—2441no—
1660C2×C4—2442no—
1661C2×C4—2442no—
1662C2×C4C2×D4×D6111yescharacteristic
1663C2×C4C2×D4×D6111yescharacteristic
1664C2×C4C2×D4×D6111yescharacteristic
1665C2×C4C2×D4×D6111yescharacteristic
1666C2×C4C2×D4×D6111yescharacteristic
1667C2×C4C24×D6111yescharacteristic
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—1221no—
1673C8—1221no—
1674C8—1221no—
1675C8—1221no—
1676C22—21no—
1677C22—21no—
1678C22—22no—
1679C22—22no—
1680C22—21no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—84no—
1689C22—612no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—1221no—
1694C22—1221no—
1695C22—4882no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22C22×D4×D6111yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—612no—
1711C4—1221no—
1712C4—1221no—
1713C4—1221no—
1714C4—1222no—
1715C4—1222no—
1716C4—1221no—
1717C4—1221no—
1718C4—2441no—
1719C4—2441no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4C2×#41×D6111yescharacteristic
1724C4C2×#41×D6111yescharacteristic
1725C2—41no—
1726C2—42no—
1727C2—42no—
1728C2—81no—
1729C2—1222no—
1730C2—4881no—
1731C2—2441no—
1732C2#525×D6111yescharacteristic
1733C2#2146058711yescharacteristic
1734C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3118C2
socleC22×C61C23×D4
hypercenter#3118D61
hypocenterC61#60557
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #21459206C2semidirect
2. #21459017C2semidirect
3. #21456115C2semidirect
4. #21456106C2semidirect
5. #21456101C2semidirect
6. #21456093C2semidirect
7. #21456086C2semidirect
8. #21456078C2semidirect
9. #21456065C2semidirect
10. #21456056C2semidirect
11. #21456050C2semidirect
12. #21456042C2semidirect
13. #21456037C2semidirect
14. #21456029C2semidirect
15. #21456022C2semidirect
16. #21456014C2semidirect
17. #21456003C2semidirect
18. #21455737C2semidirect
19. #21455731C2semidirect
20. #21455608C2semidirect
21. #21455600C2semidirect
22. #21455271C2semidirect
23. #21455271C2semidirect
24. #21455038C2semidirect
25. #21455032C2semidirect
26. #21454616C2semidirect
27. #21454614C2semidirect
28. C4×#14519798C2semidirect
29. C4×#14519796C2semidirect
30. #433×D61C2semidirect
31. C61×#3118C2semidirect
37. #16840386C22semidirect
39. #16840381C22semidirect
41. #16840370C22semidirect
43. #16840363C22semidirect
48. #16840317C22semidirect
49. #16840311C22semidirect
67. C4×#11758226C22semidirect
74. C4×#11758224C22semidirect
82. #16840099C22semidirect
83. #16840096C22semidirect
84. #16840094C22semidirect
85. #16840091C22semidirect
89. #16840082C22semidirect
90. #16840079C22semidirect
91. #16840077C22semidirect
92. #16840074C22semidirect
93. #16840072C22semidirect
94. #16840072C22semidirect
95. #16840068C22semidirect
96. #16840068C22semidirect
97. #16840064C22semidirect
98. #16840064C22semidirect
99. #16840060C22semidirect
100. #16840060C22semidirect
101. #16840058C22semidirect
102. #16840054C22semidirect
103. #16840052C22semidirect
104. #16840048C22semidirect
105. #16840044C22semidirect
106. #16840042C22semidirect
107. #16839985C22semidirect
108. #16839985C22semidirect
109. #16839981C22semidirect
110. #16839981C22semidirect
111. #16839977C22semidirect
112. #16839977C22semidirect
113. #16839971C22semidirect
114. #16839971C22semidirect
115. #16839965C22semidirect
116. #16839965C22semidirect
117. #16839961C22semidirect
118. #16839961C22semidirect
119. #16839955C22semidirect
120. #16839955C22semidirect
135. #16839874C22semidirect
136. #16839872C22semidirect
137. #16839871C22semidirect
138. #16839870C22semidirect
139. #16839868C22semidirect
140. #16839867C22semidirect
141. #16839866C22semidirect
142. #16839864C22semidirect
143. #16839863C22semidirect
144. #16839862C22semidirect
145. #16839862C22semidirect
146. #16839861C22semidirect
147. #16839859C22semidirect
148. #16839859C22semidirect
149. C4×Dic244C22semidirect
150. #16839856C22semidirect
151. C4×#11758202C22semidirect
152. #16839854C22semidirect
153. #16839853C22semidirect
154. #16839853C22semidirect
155. C4×#11758190C22semidirect
156. SD16×Dic61C22semidirect
157. #16839849C22semidirect
158. C4×#11758200C22semidirect
159. C4×#11758200C22semidirect
160. D8×Dic61C22semidirect
161. C4×#11758199C22semidirect
162. #16839842C22semidirect
163. #16839824C22semidirect
165. #16839822C22semidirect
166. #16839822C22semidirect
167. #16839821C22semidirect
170. #16839799C22semidirect
171. #16839799C22semidirect
172. #16839797C22semidirect
173. #16839797C22semidirect
174. C4⋊C8×D61C22semidirect
175. C4⋊C8×D61C22semidirect
176. #16839757C22semidirect
177. #16839757C22semidirect
182. #16839755C22semidirect
183. #16839755C22semidirect
186. #97×D61C22semidirect
187. C4×C8×D61C22semidirect
192. C61×#476C22semidirect
193. C61×#474C22semidirect
194. C61×#463C22semidirect
195. C61×#463C22semidirect
198. C61×#442C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
875. #3118D61semidirect
975. #476C2×D61semidirect
979. #474C2×D61semidirect
986. #463C2×D61semidirect
987. #463C2×D61semidirect
1015. #442C2×D61semidirect
1027. #440C2×D61semidirect
1039. C4×SD16C2×D61semidirect
1043. C4×D8C2×D61semidirect
1070. C61#60557semidirect

Maximal subgroups

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

subgroupindex
#214592062
#214590172
#214561152
#214561062
#214561012
#214560932
#214560862
#214560782
#214560652
#214560562
#214560502
#214560422
#214560372
#214560292
#214560222
#214560142
#214560032
#214557372
#214557312
#214556082
#214556002
#214552712
#214550382
#214550322
#214546162
#214546142
C4×#145197982
C4×#145197962
#433×D612
C61×#31182
#6055761