Finite Group Databasebeta

← #30548481

Subgroups — #30548481

Order 15616.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459206C211yesmaximal, characteristic, complemented
2#518×D61C211yesmaximal, characteristic, complemented
3#21456070C211yesmaximal, characteristic, complemented
4#21456068C211yesmaximal, characteristic, complemented
5#21456067C211yesmaximal, characteristic, complemented
6#21456065C211yesmaximal, characteristic, complemented
7#21456061C211yesmaximal, characteristic, complemented
8#21456059C211yesmaximal, characteristic, complemented
9#21456058C211yesmaximal, characteristic, complemented
10#21456056C211yesmaximal, characteristic, complemented
11#21456010C211yesmaximal, characteristic, complemented
12#21456008C211yesmaximal, characteristic, complemented
13#21456005C211yesmaximal, characteristic, complemented
14#21456003C211yesmaximal, characteristic, complemented
15#21456002C211yesmaximal, characteristic, complemented
16#21456000C211yesmaximal, characteristic, complemented
17#21455997C211yesmaximal, characteristic, complemented
18#21455751C211yesmaximal, characteristic, complemented
19#21455747C211yesmaximal, characteristic, complemented
20#21455617C211yesmaximal, characteristic, complemented
21#21455611C211yesmaximal, characteristic, complemented
22#21455281C211yesmaximal, characteristic, complemented
23#21455281C211yesmaximal, characteristic, complemented
24#21455047C211yesmaximal, characteristic, complemented
25#21455043C211yesmaximal, characteristic, complemented
26#21454630C211yesmaximal, characteristic, complemented
27C4×#14519804C211yesmaximal, characteristic, complemented
28#21454624C211yesmaximal, characteristic, complemented
29C4×#14519801C211yesmaximal, characteristic, complemented
30#21454453C211yesmaximal, characteristic, complemented
31C61×#3118C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C2×#14519804C2211yescharacteristic
34C2×#14519804C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36C2×#14519801C2211yescharacteristic
37#16840386C2211yescharacteristic, complemented
38#16840383C2211yescharacteristic, complemented
39#16840381C2211yescharacteristic, complemented
40#16840372C2211yescharacteristic, complemented
41#16840370C2211yescharacteristic, complemented
42#16840365C2211yescharacteristic, complemented
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#16840237C2211yescharacteristic
57#16840236C2211yescharacteristic
58#16840236C2211yescharacteristic
59#16840235—21no—
60#16840235—21no—
61#16840234—21no—
62#16840234—21no—
63#16840234C2211yescharacteristic
64#16840234C2211yescharacteristic
65#16840234C2211yescharacteristic
66#16840234C2211yescharacteristic
67C4×#11758226C2211yescharacteristic, complemented
68C4×#11758224C2211yescharacteristic, complemented
69C4×D4×D61—21no—
70C4×D4×D61—21no—
71C4×D4×D61C2211yescharacteristic
72C4×D4×D61C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#117×D61C2211yescharacteristic
76#117×D61C2211yescharacteristic
77C2×C22⋊C4×D61—21no—
78C2×C22⋊C4×D61—21no—
79#16840106C2211yescharacteristic, complemented
80#16840105C2211yescharacteristic, complemented
81#16840104C2211yescharacteristic, complemented
82#16840103C2211yescharacteristic, complemented
83#16840102C2211yescharacteristic, complemented
84#16840101C2211yescharacteristic, complemented
85#16840100C2211yescharacteristic, complemented
86#16840089C2211yescharacteristic, complemented
87#16840088C2211yescharacteristic, complemented
88#16840087C2211yescharacteristic, complemented
89#16840086C2211yescharacteristic, complemented
90#16840085C2211yescharacteristic, complemented
91#16840084C2211yescharacteristic, complemented
92#16840083C2211yescharacteristic, complemented
93#16840065C2211yescharacteristic, complemented
94#16840065C2211yescharacteristic, complemented
95#16840064C2211yescharacteristic, complemented
96#16840064C2211yescharacteristic, complemented
97#16840061C2211yescharacteristic, complemented
98#16840061C2211yescharacteristic, complemented
99#16840060C2211yescharacteristic, complemented
100#16840060C2211yescharacteristic, complemented
101#16840053C2211yescharacteristic, complemented
102#16840052C2211yescharacteristic, complemented
103#16840049C2211yescharacteristic, complemented
104#16840043C2211yescharacteristic, complemented
105#16840042C2211yescharacteristic, complemented
106#16840039C2211yescharacteristic, complemented
107#16839978C2211yescharacteristic, complemented
108#16839978C2211yescharacteristic, complemented
109#16839977C2211yescharacteristic, complemented
110#16839977C2211yescharacteristic, complemented
111#16839974C2211yescharacteristic, complemented
112#16839974C2211yescharacteristic, complemented
113#16839966C2211yescharacteristic, complemented
114#16839966C2211yescharacteristic, complemented
115#16839965C2211yescharacteristic, complemented
116#16839965C2211yescharacteristic, complemented
117#16839956C2211yescharacteristic, complemented
118#16839956C2211yescharacteristic, complemented
119#16839955C2211yescharacteristic, complemented
120#16839955C2211yescharacteristic, complemented
121#16839915C2211yescharacteristic
122#16839914C2211yescharacteristic
123#16839914C2211yescharacteristic
124#16839913C2211yescharacteristic
125#16839912C2211yescharacteristic
126#16839911C2211yescharacteristic
127#16839911C2211yescharacteristic
128#16839898C2211yescharacteristic
129#16839897C2211yescharacteristic
130#16839897C2211yescharacteristic
131#16839896C2211yescharacteristic
132#16839895C2211yescharacteristic
133#16839894C2211yescharacteristic
134#16839894C2211yescharacteristic
135#16839875C2211yescharacteristic, complemented
136#16839874C2211yescharacteristic, complemented
137#16839873C2211yescharacteristic, complemented
138#16839872C2211yescharacteristic, complemented
139#16839872C2211yescharacteristic, complemented
140#16839871C2211yescharacteristic, complemented
141#16839871C2211yescharacteristic, complemented
142#16839865C2211yescharacteristic, complemented
143#16839864C2211yescharacteristic, complemented
144#16839863C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839861C2211yescharacteristic, complemented
147#16839860C2211yescharacteristic, complemented
148#16839859C2211yescharacteristic, complemented
149#16839853C2211yescharacteristic, complemented
150C4×#11758190C2211yescharacteristic, complemented
151SD16×Dic61C2211yescharacteristic, complemented
152C4×#11758201C2211yescharacteristic, complemented
153#16839849C2211yescharacteristic, complemented
154C4×#11758200C2211yescharacteristic, complemented
155#16839847C2211yescharacteristic, complemented
156C4×D488C2211yescharacteristic, complemented
157D8×Dic61C2211yescharacteristic, complemented
158#16839844C2211yescharacteristic, complemented
159C4×#11758199C2211yescharacteristic, complemented
160C4×#11758199C2211yescharacteristic, complemented
161#16839842C2211yescharacteristic, complemented
162#16839842C2211yescharacteristic, complemented
163#16839824C2211yescharacteristic, complemented
164#16839823C2211yescharacteristic, complemented
165#16839822C2211yescharacteristic, complemented
166#16839822C2211yescharacteristic, complemented
167#16839821C2211yescharacteristic, complemented
168#16839820C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#16839803C2211yescharacteristic, complemented
171#16839803C2211yescharacteristic, complemented
172#16839801C2211yescharacteristic, complemented
173#16839801C2211yescharacteristic, complemented
174#16839784C2211yescharacteristic, complemented
175#16839784C2211yescharacteristic, complemented
176#16839765C2211yescharacteristic
177#16839765C2211yescharacteristic
178#16839765C2211yescharacteristic
179#16839765C2211yescharacteristic
180#16839762C2211yescharacteristic, complemented
181#16839762C2211yescharacteristic, complemented
182#16839760C2211yescharacteristic, complemented
183#16839760C2211yescharacteristic, complemented
184#16839724C2211yescharacteristic
185#16839724C2211yescharacteristic
186#16839714C2211yescharacteristic, complemented
187C4×#11758189C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic, complemented
189C61×#518C2211yescharacteristic
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
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, complemented
203C24×D61—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×C22⋊D61—21no—
208C2×D4×D61—24no—
209C2×D4×D61—24no—
210C2×D4×D61—21no—
211C2×D4×D61—21no—
212C2×D4×D61C2311yescharacteristic
213C2×D4×D61C2311yescharacteristic
214C2×D4×D61C2311yescharacteristic
215C2×D4×D61C2311yescharacteristic
216C22×C4×D61—21no—
217C22×C4×D61—21no—
218C22×C4×D61—21no—
219C22×C4×D61—21no—
220C22×C4×D61C2311yescharacteristic
221#14519804—24no—
222#14519804—24no—
223#14519801—24no—
224#14519801—24no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×D488C2311yescharacteristic
232C2×D488C2311yescharacteristic
233C2×#11758199C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241#14519777C2311yescharacteristic, complemented
242#14519775C2311yescharacteristic, complemented
243#14519773C2311yescharacteristic, complemented
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519771—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519769—21no—
252#14519768—21no—
253#14519768C2311yescharacteristic, complemented
254#14519768C2311yescharacteristic, complemented
255#14519767—21no—
256#14519767—21no—
257#14519766—21no—
258#14519765C2311yescharacteristic, complemented
259#14519763—21no—
260#14519763—21no—
261#14519762—21no—
262#14519762—21no—
263#14519761—21no—
264#14519761—21no—
265#14519760—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519757—21no—
271#14519757C2311yescharacteristic
272#14519756C2311yescharacteristic
273#14519755—21no—
274#14519754—21no—
275#14519753—21no—
276#14519753—21no—
277#14519753C2311yescharacteristic
278#14519752C2311yescharacteristic
279#14519751—21no—
280#14519751C2311yescharacteristic
281#14519750—21no—
282#14519750—21no—
283#14519750—21no—
284#14519749—21no—
285#14519748—21no—
286#14519748C2311yescharacteristic
287#14519747—21no—
288#14519745—21no—
289Q8×Dic61—21no—
290Q8×Dic61C2311yescharacteristic, complemented
291C4×Dic122C2311yescharacteristic, complemented
292#14519742—21no—
293#14519742C2311yescharacteristic, complemented
294C4×D244—21no—
295C4×D244—21no—
296C4×D244—21no—
297C4×D244C2311yescharacteristic
298C4×D244C2311yescharacteristic
299C4×D244C2311yescharacteristic
300C4×D244C2311yescharacteristic
301C4×D244C2311yescharacteristic, complemented
302D4×Dic61—21no—
303D4×Dic61—21no—
304D4×Dic61—21no—
305D4×Dic61C2311yescharacteristic
306D4×Dic61C2311yescharacteristic
307D4×Dic61C2311yescharacteristic
308D4×Dic61C2311yescharacteristic
309D4×Dic61C2311yescharacteristic, complemented
310#14519739—21no—
311#14519739—21no—
312#14519739—21no—
313#14519739—21no—
314#14519739C2311yescharacteristic
315#14519739C2311yescharacteristic
316#14519739C2311yescharacteristic
317#14519739C2311yescharacteristic
318#14519739C2311yescharacteristic, complemented
319C4×C22⋊D61—21no—
320C4×C22⋊D61—21no—
321C4×C22⋊D61—21no—
322C4×C22⋊D61—21no—
323C4×C22⋊D61—21no—
324C4×C22⋊D61—21no—
325C4×C22⋊D61—21no—
326C4×C22⋊D61—21no—
327C4×C22⋊D61—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#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519736C2311yescharacteristic
342#14519736C2311yescharacteristic
343#14519735—21no—
344#14519735D411yescharacteristic
345#14519735D411yescharacteristic
346#14519735C2311yescharacteristic
347#14519735C2311yescharacteristic
348#14519735C2311yescharacteristic
349#14519735C2311yescharacteristic
350#14519734—21no—
351#14519734C2311yescharacteristic
352#14519734C2311yescharacteristic
353#14519733—21no—
354#14519733—21no—
355#14519733D411yescharacteristic
356#14519733D411yescharacteristic
357C4⋊C4×D61D411yescharacteristic
358C4⋊C4×D61D411yescharacteristic
359C4⋊C4×D61C2311yescharacteristic
360C4⋊C4×D61C2311yescharacteristic
361C2×C22⋊Dic61—21no—
362C2×C22⋊Dic61—21no—
363C2×#11758198—21no—
364C2×#11758198—21no—
365C2×#11758198—21no—
366C2×#11758198—21no—
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61D411yescharacteristic
381C22⋊C4×D61D411yescharacteristic
382C2×C4×Dic61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386C42×D61C2311yescharacteristic
387#14519711C2311yescharacteristic, complemented
388#14519711C2311yescharacteristic, complemented
389#14519710C2311yescharacteristic, complemented
390#14519710C2311yescharacteristic, complemented
391#14519710C2311yescharacteristic, complemented
392#14519710C2311yescharacteristic, complemented
393#14519709C2311yescharacteristic, complemented
394#14519709C2311yescharacteristic, complemented
395#14519708C2311yescharacteristic, complemented
396#14519708C2311yescharacteristic, complemented
397#14519708C2311yescharacteristic, complemented
398#14519708C2311yescharacteristic, complemented
399C4⋊#92418C2311yescharacteristic, complemented
400C4⋊#92418C2311yescharacteristic, complemented
401#14519706C2311yescharacteristic, complemented
402#14519706C2311yescharacteristic, complemented
403#14519706C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519702C2311yescharacteristic, complemented
406#14519702C2311yescharacteristic, complemented
407#14519701C2311yescharacteristic, complemented
408#14519701C2311yescharacteristic, complemented
409#14519700C2311yescharacteristic, complemented
410#14519700C2311yescharacteristic, complemented
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic, complemented
416#14519699C2311yescharacteristic, complemented
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic, complemented
422#14519698C2311yescharacteristic, complemented
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic, complemented
428#14519697C2311yescharacteristic, complemented
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic, complemented
436#14519687C2311yescharacteristic, complemented
437#14519687C2311yescharacteristic, complemented
438C4×#92418C2311yescharacteristic, complemented
439C8×Dic61C2311yescharacteristic, complemented
440C8×Dic61C2311yescharacteristic, complemented
441C22×D4×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic, complemented
447#126×C61—21no—
448#124×C61—21no—
449#124×C61C2311yescharacteristic, complemented
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic, complemented
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic, complemented
462#117×C61C2311yescharacteristic
463#117×C61C2311yescharacteristic
464C2×C22⋊C4×C61—21no—
465C2×C22⋊C4×C61—21no—
466#107×C61C2311yescharacteristic, complemented
467#107×C61C2311yescharacteristic, complemented
468#106×C61C2311yescharacteristic, complemented
469#106×C61C2311yescharacteristic, complemented
470C4⋊C8×C61C2311yescharacteristic, complemented
471C4⋊C8×C61C2311yescharacteristic, complemented
472#103×C61C2311yescharacteristic, complemented
473#103×C61C2311yescharacteristic, complemented
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic, complemented
479#102×C61C2311yescharacteristic, complemented
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic, complemented
483C4×C8×C61C2311yescharacteristic, complemented
484C24×C61—21no—
485C23×D61—28no—
486C23×D61—21no—
487C23×D61—21no—
488C23×D61—21no—
489C23×D61—21no—
490C23×D61—21no—
491C23×D61—82no—
492C23×D61—82no—
493C23×D61C2×D411yescharacteristic
494C2×Q8×C61—21no—
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—22no—
497C2×D4×C61—22no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61C2411yescharacteristic
509C2×C22⋊D61—28no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61C2×D411yescharacteristic
526#11758226—22no—
527#11758226—22no—
528#11758224—22no—
529#11758224—22no—
530D4×D61—28no—
531D4×D61—28no—
532D4×D61—22no—
533D4×D61—22no—
534D4×D61—22no—
535D4×D61—22no—
536D4×D61—22no—
537D4×D61—22no—
538D4×D61#4114yes—
539D4×D61#4114yes—
540C2×D244—21no—
541C2×D244—22no—
542C2×D244—22no—
543C2×D244—21no—
544C2×D244—21no—
545C2×D244C2411yescharacteristic
546C2×D244C2411yescharacteristic
547C2×D244C2411yescharacteristic
548C2×C4×D61—22no—
549C2×C4×D61—22no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—82no—
564C2×C4×D61—82no—
565C2×C4×D61—82no—
566C2×C4×D61—82no—
567C2×C4×D61C2×D411yescharacteristic
568C2×C4×D61C2×D411yescharacteristic
569C2×C4×D61C2×D411yescharacteristic
570C2×C4×D61C2×D411yescharacteristic
571C2×C4×D61C2×D411yescharacteristic
572C2×C4×D61C2×D411yescharacteristic
573C2×C4×D61C2411yescharacteristic
574C2×C4×D61C2411yescharacteristic
575C2×Dic122—21no—
576C2×Dic122C2411yescharacteristic
577SD16×C61—22no—
578SD16×C61—22no—
579D8×C61—22no—
580D8×C61—22no—
581C2×C8×C61C2411yescharacteristic
582C2×C8×C61C2411yescharacteristic
583C2×C8×C61C2411yescharacteristic
584C2×C8×C61C2411yescharacteristic
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61C2×D411yescharacteristic
589C4⋊C4×C61C2×D411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61C2×D411yescharacteristic
605C22⋊C4×C61C2×D411yescharacteristic
606C42×C61—21no—
607C42×C61—21no—
608C42×C61C2411yescharacteristic
609C42×C61C2411yescharacteristic
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61C2×D411yescharacteristic
619C22⋊Dic61C2×D411yescharacteristic
620#11758201—22no—
621#11758201—22no—
622#11758200—22no—
623#11758200—22no—
624#11758199—22no—
625#11758199—22no—
626#11758199—22no—
627#11758199—22no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651#11758198C2×D411yescharacteristic
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61C2×D411yescharacteristic
658C4⋊Dic61C2×D411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660C4⋊Dic61C2411yescharacteristic
661C4⋊Dic61C2411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695D488—22no—
696D488—22no—
697#11758190—22no—
698#11758190—22no—
699#11758189—22no—
700#11758189—22no—
701#11758189—22no—
702#11758189—22no—
703C23×C61—24no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—21no—
707C23×C61—81no—
708C23×C61—81no—
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—24no—
713C22×D61—24no—
714C22×D61—24no—
715C22×D61—22no—
716C22×D61—24no—
717C22×D61—24no—
718C22×D61—21no—
719C22×D61—41no—
720C22×D61—41no—
721C22×D61—42no—
722C22×D61—42no—
723C22×D61—42no—
724C22×D61—42no—
725C22×D61—81no—
726C22×D61—81no—
727C22×D61—81no—
728C22×D61—81no—
729C22×D61—816no—
730C22×D61—81no—
731C22×D61—81no—
732C22×D61C22×D411yescharacteristic
733C22×D61C22×D411yescharacteristic
734Q8×C61—21no—
735Q8×C61—21no—
736Q8×C61—81no—
737D4×C61—24no—
738D4×C61—21no—
739D4×C61—21no—
740D4×C61—21no—
741D4×C61—21no—
742D4×C61—81no—
743D4×C61C2×#4112yes—
744D4×C61C2×#4112yes—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—81no—
753C2×C4×C61—81no—
754C2×C4×C61—81no—
755C2×C4×C61—81no—
756C2×C4×C61—81no—
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C2511yescharacteristic
763C22⋊D61—24no—
764C22⋊D61—24no—
765C22⋊D61—24no—
766C22⋊D61—24no—
767C22⋊D61—42no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C2×Dic61—22no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—42no—
779C2×Dic61—81no—
780C2×Dic61—81no—
781C2×Dic61—81no—
782C2×Dic61—81no—
783C2×Dic61—81no—
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790D244—24no—
791D244—21no—
792D244—21no—
793D244—21no—
794D244—21no—
795D244—42no—
796D244—81no—
797D244C2×#4112yes—
798D244C2×#4112yes—
799C4×D61—22no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—22no—
803C4×D61—41no—
804C4×D61—41no—
805C4×D61—41no—
806C4×D61—41no—
807C4×D61—42no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—81no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817C4×D61—81no—
818C4×D61—81no—
819C4×D61—81no—
820C4×D61C2×#4112yes—
821C4×D61C2×#4112yes—
822Dic122—21no—
823Dic122—21no—
824Dic122—81no—
825C8×C61—21no—
826C8×C61—21no—
827C8×C61—21no—
828C8×C61—21no—
829#92418—21no—
830#92418—21no—
831#92418—21no—
832#92418—21no—
833#60564—611nomaximal, Sylow
834C22×C61—21no—
835C22×C61—21no—
836C22×C61—21no—
837C22×C61—22no—
838C22×C61—22no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—84no—
847C22×C61C23×D411yescharacteristic
848C2×D61—21no—
849C2×D61—21no—
850C2×D61—21no—
851C2×D61—21no—
852C2×D61—21no—
853C2×D61—22no—
854C2×D61—22no—
855C2×D61—48no—
856C2×D61—48no—
857C2×D61—44no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—84no—
866C2×D61—84no—
867C2×D61—84no—
868C2×D61#52512yes—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—21no—
872C4×C61—21no—
873C4×C61—21no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61C22×#4111yescharacteristic
880C4×C61C22×#4111yescharacteristic
881Dic61—21no—
882Dic61—21no—
883Dic61—21no—
884Dic61—21no—
885Dic61—21no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61#52512yes—
892#3455—611no—
893C2×#518—611no—
894#3123—611no—
895#3123—611no—
896#3123—611no—
897#3123—611no—
898#3122—611no—
899#3122—611no—
900#3122—611no—
901#3122—611no—
902#3118—611no—
903#3118—611no—
904#3118—611no—
905#3118—611no—
906#3118—611no—
907#3118—611no—
908#3118—611no—
909#3118D6111yescharacteristic, complemented
910#3093—611no—
911#3093—611no—
912#3077—611no—
913#3077—611no—
914#3036—611no—
915#3036—611no—
916#3003—611no—
917#3003—611no—
918C4×AGL(1,ℤ/8)—611no—
919C4×AGL(1,ℤ/8)—611no—
920C4×AGL(1,ℤ/8)—611no—
921C4×AGL(1,ℤ/8)—611no—
922#2921—611no—
923C2×C61—41no—
924C2×C61—42no—
925C2×C61—42no—
926C2×C61—81no—
927C2×C61C2×#52511yescharacteristic
928C2×C61#358511yescharacteristic
929C2×C61#358511yescharacteristic
930D61—22no—
931D61—41no—
932D61—42no—
933D61—42no—
934D61—81no—
935C23×D4—611no—
936C2×AGL(1,ℤ/8)—611no—
937C2×AGL(1,ℤ/8)—611no—
938C2×AGL(1,ℤ/8)—611no—
939C2×AGL(1,ℤ/8)—611no—
940#542—611no—
941#542—611no—
942#542—611no—
943#542C2×D6111yescharacteristic, complemented
944#541—611no—
945#541—611no—
946#540—611no—
947#540—611no—
948#539—1221no—
949#539—1221no—
950#538—1221no—
951#538—1221no—
952#533—611no—
953#532—611no—
954#529—1221no—
955#529—1221no—
956#529—1221no—
957#529—1221no—
958#525—611no—
959#525—611no—
960#518—611no—
961#518—611no—
962#518—611no—
963#518—611no—
964#518—611no—
965#518—611no—
966#518—611no—
967#518—1221no—
968#518—1221no—
969#518—1221no—
970#518—1221no—
971#518C2×D6111yescharacteristic
972C4×#41—611no—
973C4×#41—611no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×C4×D4—611no—
977C2×C4×D4—611no—
978C2×C4×D4—1221no—
979C2×C4×D4—1221no—
980C2×#117—611no—
981C2×#117—611no—
982C22×C22⋊C4—1221no—
983C22×C22⋊C4—1221no—
984#485—611no—
985#485—611no—
986#485—611no—
987#485—611no—
988#485—611no—
989#485—611no—
990#485—611no—
991#485C2×D6111yescharacteristic, complemented
992#482—611no—
993#482—611no—
994#482—611no—
995#482—611no—
996#482—611no—
997#482—611no—
998#482—611no—
999#482C2×D6111yescharacteristic, complemented
1000#478—611no—
1001#478—611no—
1002#478—611no—
1003#478—611no—
1004#478—611no—
1005#478—611no—
1006#478—611no—
1007#478—611no—
1008#476—611no—
1009#476—611no—
1010#476—611no—
1011#476C2×D6111yescharacteristic, complemented
1012#474—611no—
1013#474—611no—
1014#474—611no—
1015#474C2×D6111yescharacteristic, complemented
1016#463—611no—
1017#463—611no—
1018#463—611no—
1019#463—611no—
1020#463—611no—
1021#463—611no—
1022#463C2×D6111yescharacteristic, complemented
1023#463C2×D6111yescharacteristic, complemented
1024#461—611no—
1025#461—611no—
1026#461—611no—
1027#461—611no—
1028#459—611no—
1029#459—611no—
1030#459—611no—
1031#459—611no—
1032#450—611no—
1033#450—611no—
1034#450—611no—
1035#450—611no—
1036#450—611no—
1037#450—611no—
1038#450—611no—
1039#450C2×D6111yescharacteristic
1040#447—611no—
1041#447—611no—
1042#447—611no—
1043#447—611no—
1044#447—611no—
1045#447—611no—
1046#447—611no—
1047#447C2×D6111yescharacteristic
1048#442—611no—
1049#442—611no—
1050#442—611no—
1051#442—611no—
1052#442—611no—
1053#442—611no—
1054#442—611no—
1055#442C2×D6111yescharacteristic, complemented
1056#440—611no—
1057#440—611no—
1058#440—611no—
1059#440—611no—
1060#440—611no—
1061#440—611no—
1062#440—611no—
1063#440C2×D6111yescharacteristic, complemented
1064C4×SD16—611no—
1065C4×SD16—611no—
1066C4×SD16—611no—
1067C4×SD16—611no—
1068C4×SD16—611no—
1069C4×SD16—611no—
1070C4×SD16—611no—
1071C4×SD16C2×D6111yescharacteristic, complemented
1072C4×D8—611no—
1073C4×D8—611no—
1074C4×D8—611no—
1075C4×D8—611no—
1076C4×D8—611no—
1077C4×D8—611no—
1078C4×D8—611no—
1079C4×D8C2×D6111yescharacteristic, complemented
1080#433—611no—
1081#433—611no—
1082#433—611no—
1083#433—611no—
1084#433—611no—
1085#433—611no—
1086#433—611no—
1087#433C2×D6111yescharacteristic, complemented
1088#428—611no—
1089#428—611no—
1090#428—611no—
1091#428—611no—
1092#423—611no—
1093#423—611no—
1094#418—611no—
1095#418—611no—
1096#418—611no—
1097#418—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417—611no—
1102#407—611no—
1103#407—611no—
1104C4×M16—611no—
1105C4×M16—611no—
1106C61#6056411yescharacteristic, complemented, Sylow
1107C25—1221no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4—1221no—
1116C22×D4—1221no—
1117C22×D4—1221no—
1118C22×D4—1224no—
1119C22×D4—1224no—
1120C22×D4C22×D6111yescharacteristic
1121C23×C4—611no—
1122C23×C4—1221no—
1123C23×C4—1221no—
1124C23×C4—1221no—
1125C23×C4—1221no—
1126AGL(1,ℤ/8)—1224no—
1127AGL(1,ℤ/8)—1224no—
1128AGL(1,ℤ/8)—1224no—
1129AGL(1,ℤ/8)—1224no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16—611no—
1134C2×SD16—611no—
1135C2×SD16—611no—
1136C2×SD16C22×D6111yescharacteristic
1137C2×SD16C22×D6111yescharacteristic
1138C2×D8—611no—
1139C2×D8—611no—
1140C2×D8—611no—
1141C2×D8—611no—
1142C2×D8—611no—
1143C2×D8—611no—
1144C2×D8C22×D6111yescharacteristic
1145C2×D8C22×D6111yescharacteristic
1146C2×M16—611no—
1147C2×M16—611no—
1148C2×M16—611no—
1149C2×M16—611no—
1150C4⋊Q8—611no—
1151C4⋊Q8—611no—
1152C4⋊Q8C22×D6111yescharacteristic, complemented
1153#127—611no—
1154#126—21no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—611no—
1164#125—1221no—
1165#125—1221no—
1166#125—1221no—
1167#125—1221no—
1168#124—21no—
1169#124—611no—
1170#124—1221no—
1171#124—1221no—
1172#124—1221no—
1173#124C22×D6111yescharacteristic, complemented
1174#123—21no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184C22⋊Q8—21no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8C22×D6111yescharacteristic
1194#121—611no—
1195#121—611no—
1196#121—611no—
1197#121—1221no—
1198#121—1221no—
1199#121—1221no—
1200#121—1221no—
1201#121—1221no—
1202#121—1221no—
1203#121C22×D6111yescharacteristic
1204#120—1221no—
1205#120—1221no—
1206C4×Q8—611no—
1207C4×Q8—611no—
1208C4×Q8—611no—
1209C4×Q8—1221no—
1210C4×Q8—1221no—
1211C4×Q8C22×D6111yescharacteristic, complemented
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4—1221no—
1238C4×D4—1221no—
1239C4×D4—1221no—
1240C4×D4—1221no—
1241C4×D4—1221no—
1242C4×D4—1221no—
1243C4×D4—1221no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4—1221no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4C22×D6111yescharacteristic
1262C4×D4C22×D6111yescharacteristic
1263C4×D4C22×D6111yescharacteristic
1264C4×D4C22×D6111yescharacteristic
1265C4×D4C22×D6111yescharacteristic, complemented
1266#117—611no—
1267#117—611no—
1268#117—611no—
1269#117—611no—
1270#117—611no—
1271#117—611no—
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117C22×D6111yescharacteristic
1283#117C22×D6111yescharacteristic
1284C2×C4⋊C4—611no—
1285C2×C4⋊C4—611no—
1286C2×C4⋊C4—611no—
1287C2×C4⋊C4—611no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—1221no—
1293C2×C22⋊C4—1221no—
1294C2×C22⋊C4—1221no—
1295C2×C22⋊C4—1221no—
1296C2×C22⋊C4—1221no—
1297C2×C22⋊C4—1221no—
1298C2×C22⋊C4—1221no—
1299C2×C22⋊C4—1221no—
1300C2×C22⋊C4—1221no—
1301C2×C22⋊C4—1221no—
1302C2×C22⋊C4—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C22⋊C4—1221no—
1308C2×C22⋊C4—1221no—
1309C2×C22⋊C4—1221no—
1310C2×C22⋊C4—1221no—
1311C2×C42—611no—
1312C2×C42—611no—
1313C2×C42—1221no—
1314C2×C42—1221no—
1315C2×C42—1221no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107—611no—
1320#107—611no—
1321#107—611no—
1322#107C22×D6111yescharacteristic, complemented
1323#107C22×D6111yescharacteristic, complemented
1324#106—611no—
1325#106—611no—
1326#106—611no—
1327#106—611no—
1328#106—611no—
1329#106—611no—
1330#106C22×D6111yescharacteristic, complemented
1331#106C22×D6111yescharacteristic, complemented
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8—611no—
1338C4⋊C8C22×D6111yescharacteristic, complemented
1339C4⋊C8C22×D6111yescharacteristic, complemented
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103C22×D6111yescharacteristic, complemented
1347#103C22×D6111yescharacteristic, complemented
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102C22×D6111yescharacteristic
1367#102C22×D6111yescharacteristic
1368#102C22×D6111yescharacteristic
1369#102C22×D6111yescharacteristic
1370#102C22×D6111yescharacteristic, complemented
1371#102C22×D6111yescharacteristic, complemented
1372C22⋊C8—611no—
1373C22⋊C8—611no—
1374C22⋊C8—611no—
1375C22⋊C8—611no—
1376C22⋊C8—611no—
1377C22⋊C8—611no—
1378C22⋊C8C22×D6111yescharacteristic
1379C22⋊C8C22×D6111yescharacteristic
1380#97—611no—
1381#97—611no—
1382#97—611no—
1383#97C22×D6111yescharacteristic, complemented
1384C4×C8—611no—
1385C4×C8—611no—
1386C4×C8—611no—
1387C4×C8C22×D6111yescharacteristic, complemented
1388C24—21no—
1389C24—611no—
1390C24—1221no—
1391C24—1221no—
1392C24—1221no—
1393C24—1221no—
1394C24—1228no—
1395C24—1221no—
1396C24—4882no—
1397C24—4882no—
1398#41—1222no—
1399#41—1222no—
1400#41—1222no—
1401#41—1222no—
1402C2×Q8—21no—
1403C2×Q8—611no—
1404C2×Q8—1221no—
1405C2×Q8C23×D6111yescharacteristic
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—614no—
1411C2×D4—614no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—1222no—
1416C2×D4—1222no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1222no—
1420C2×D4—1222no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1222no—
1428C2×D4—1222no—
1429C2×D4—1228no—
1430C2×D4—1228no—
1431C2×D4—1228no—
1432C2×D4—1222no—
1433C2×D4—1222no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4C23×D6111yescharacteristic
1439C2×D4C23×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
1452C22×C4—611no—
1453C22×C4—611no—
1454C22×C4—611no—
1455C22×C4—1222no—
1456C22×C4—1222no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4—1221no—
1465C22×C4—1221no—
1466C22×C4—1221no—
1467C22×C4—1221no—
1468C22×C4—1221no—
1469C22×C4—1221no—
1470C22×C4—1221no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—4882no—
1477C22×C4—4882no—
1478C22×C4—4882no—
1479C22×C4—4882no—
1480C22×C4C23×D6111yescharacteristic
1481SD16—22no—
1482SD16—22no—
1483SD16—1222no—
1484SD16—1222no—
1485SD16—1222no—
1486SD16—1222no—
1487SD16—1222no—
1488SD16—1222no—
1489D8—22no—
1490D8—22no—
1491D8—1222no—
1492D8—1222no—
1493D8—1222no—
1494D8—1222no—
1495D8—1222no—
1496D8—1222no—
1497M16—1222no—
1498M16—1222no—
1499M16—1222no—
1500M16—1222no—
1501C2×C8—611no—
1502C2×C8—611no—
1503C2×C8—611no—
1504C2×C8—611no—
1505C2×C8C23×D6111yescharacteristic
1506C2×C8C23×D6111yescharacteristic
1507C2×C8C23×D6111yescharacteristic
1508C2×C8C23×D6111yescharacteristic
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4D4×D6111yescharacteristic
1538C4⋊C4D4×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C4⋊C4C23×D6111yescharacteristic
1541C4⋊C4C23×D6111yescharacteristic
1542C4⋊C4C23×D6111yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—611no—
1558C22⋊C4—611no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4D4×D6111yescharacteristic
1588C22⋊C4D4×D6111yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—611no—
1592C42—611no—
1593C42—611no—
1594C42—611no—
1595C42—611no—
1596C42—611no—
1597C42—1221no—
1598C42—1221no—
1599C42—1221no—
1600C42—1221no—
1601C42—1221no—
1602C42—1221no—
1603C42—1221no—
1604C42—1221no—
1605C42C23×D6111yescharacteristic
1606C42C23×D6111yescharacteristic
1607C23—24no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—81no—
1612C23—81no—
1613C23—611no—
1614C23—611no—
1615C23—1222no—
1616C23—1224no—
1617C23—1224no—
1618C23—1224no—
1619C23—1224no—
1620C23—1224no—
1621C23—1221no—
1622C23—1221no—
1623C23—1221no—
1624C23—4881no—
1625C23—4881no—
1626C23—4881no—
1627C23—4881no—
1628C23—4881no—
1629C23—4881no—
1630C23—48816no—
1631C23—2441no—
1632C23—2441no—
1633C23—2442no—
1634C23—2442no—
1635C23—2442no—
1636C23—2442no—
1637C23C2×D4×D6111yescharacteristic
1638Q8—21no—
1639Q8—21no—
1640Q8—81no—
1641Q8—1221no—
1642Q8—1221no—
1643Q8—4881no—
1644D4—24no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—81no—
1650D4—612no—
1651D4—612no—
1652D4—1224no—
1653D4—1224no—
1654D4—1224no—
1655D4—1224no—
1656D4—1224no—
1657D4—1221no—
1658D4—1221no—
1659D4—1221no—
1660D4—1221no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—4881no—
1665D4—4881no—
1666D4—2442no—
1667D4—2442no—
1668D4#41×D6112yes—
1669D4#41×D6112yes—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—611no—
1683C2×C4—612no—
1684C2×C4—612no—
1685C2×C4—611no—
1686C2×C4—611no—
1687C2×C4—611no—
1688C2×C4—611no—
1689C2×C4—611no—
1690C2×C4—1222no—
1691C2×C4—1222no—
1692C2×C4—1222no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—1221no—
1698C2×C4—1221no—
1699C2×C4—1221no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—4881no—
1704C2×C4—4881no—
1705C2×C4—4881no—
1706C2×C4—4881no—
1707C2×C4—4881no—
1708C2×C4—4881no—
1709C2×C4—4881no—
1710C2×C4—4881no—
1711C2×C4—4881no—
1712C2×C4—4881no—
1713C2×C4—4881no—
1714C2×C4—4881no—
1715C2×C4—2441no—
1716C2×C4—2441no—
1717C2×C4—2441no—
1718C2×C4—2441no—
1719C2×C4—2442no—
1720C2×C4—2442no—
1721C2×C4—2442no—
1722C2×C4—2442no—
1723C2×C4C2×D4×D6111yescharacteristic
1724C2×C4C2×D4×D6111yescharacteristic
1725C2×C4C2×D4×D6111yescharacteristic
1726C2×C4C2×D4×D6111yescharacteristic
1727C2×C4C2×D4×D6111yescharacteristic
1728C2×C4C24×D6111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—1221no—
1734C8—1221no—
1735C8—1221no—
1736C8—1221no—
1737C22—21no—
1738C22—22no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—84no—
1750C22—612no—
1751C22—1221no—
1752C22—1221no—
1753C22—1221no—
1754C22—1222no—
1755C22—1222no—
1756C22—1221no—
1757C22—1221no—
1758C22—4884no—
1759C22—4884no—
1760C22—4884no—
1761C22—2444no—
1762C22—2448no—
1763C22—2448no—
1764C22—2441no—
1765C22—2441no—
1766C22—2441no—
1767C22—2441no—
1768C22—2441no—
1769C22—2441no—
1770C22—2441no—
1771C22C22×D4×D6111yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—612no—
1783C4—1221no—
1784C4—1221no—
1785C4—1221no—
1786C4—1221no—
1787C4—1221no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4C2×#41×D6111yescharacteristic
1794C4C2×#41×D6111yescharacteristic
1795C2—41no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—1222no—
1800C2—4881no—
1801C2—2441no—
1802C2—2442no—
1803C2—2442no—
1804C2#525×D6111yescharacteristic
1805C2#2146059411yescharacteristic
1806C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3118C2
socleC22×C61C23×D4
hypercenter#3118D61
hypocenterC61#60564
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. #518×D61C2semidirect
3. #21456070C2semidirect
4. #21456068C2semidirect
5. #21456067C2semidirect
6. #21456065C2semidirect
7. #21456061C2semidirect
8. #21456059C2semidirect
9. #21456058C2semidirect
10. #21456056C2semidirect
11. #21456010C2semidirect
12. #21456008C2semidirect
13. #21456005C2semidirect
14. #21456003C2semidirect
15. #21456002C2semidirect
16. #21456000C2semidirect
17. #21455997C2semidirect
18. #21455751C2semidirect
19. #21455747C2semidirect
20. #21455617C2semidirect
21. #21455611C2semidirect
22. #21455281C2semidirect
23. #21455281C2semidirect
24. #21455047C2semidirect
25. #21455043C2semidirect
26. #21454630C2semidirect
27. C4×#14519804C2semidirect
28. #21454624C2semidirect
29. C4×#14519801C2semidirect
30. #21454453C2semidirect
31. C61×#3118C2semidirect
37. #16840386C22semidirect
38. #16840383C22semidirect
39. #16840381C22semidirect
40. #16840372C22semidirect
41. #16840370C22semidirect
42. #16840365C22semidirect
43. #16840363C22semidirect
48. #16840317C22semidirect
49. #16840311C22semidirect
67. C4×#11758226C22semidirect
68. C4×#11758224C22semidirect
79. #16840106C22semidirect
80. #16840105C22semidirect
81. #16840104C22semidirect
82. #16840103C22semidirect
83. #16840102C22semidirect
84. #16840101C22semidirect
85. #16840100C22semidirect
86. #16840089C22semidirect
87. #16840088C22semidirect
88. #16840087C22semidirect
89. #16840086C22semidirect
90. #16840085C22semidirect
91. #16840084C22semidirect
92. #16840083C22semidirect
93. #16840065C22semidirect
94. #16840065C22semidirect
95. #16840064C22semidirect
96. #16840064C22semidirect
97. #16840061C22semidirect
98. #16840061C22semidirect
99. #16840060C22semidirect
100. #16840060C22semidirect
101. #16840053C22semidirect
102. #16840052C22semidirect
103. #16840049C22semidirect
104. #16840043C22semidirect
105. #16840042C22semidirect
106. #16840039C22semidirect
107. #16839978C22semidirect
108. #16839978C22semidirect
109. #16839977C22semidirect
110. #16839977C22semidirect
111. #16839974C22semidirect
112. #16839974C22semidirect
113. #16839966C22semidirect
114. #16839966C22semidirect
115. #16839965C22semidirect
116. #16839965C22semidirect
117. #16839956C22semidirect
118. #16839956C22semidirect
119. #16839955C22semidirect
120. #16839955C22semidirect
135. #16839875C22semidirect
136. #16839874C22semidirect
137. #16839873C22semidirect
138. #16839872C22semidirect
139. #16839872C22semidirect
140. #16839871C22semidirect
141. #16839871C22semidirect
142. #16839865C22semidirect
143. #16839864C22semidirect
144. #16839863C22semidirect
145. #16839862C22semidirect
146. #16839861C22semidirect
147. #16839860C22semidirect
148. #16839859C22semidirect
149. #16839853C22semidirect
150. C4×#11758190C22semidirect
151. SD16×Dic61C22semidirect
152. C4×#11758201C22semidirect
153. #16839849C22semidirect
154. C4×#11758200C22semidirect
155. #16839847C22semidirect
156. C4×D488C22semidirect
157. D8×Dic61C22semidirect
158. #16839844C22semidirect
159. C4×#11758199C22semidirect
160. C4×#11758199C22semidirect
161. #16839842C22semidirect
162. #16839842C22semidirect
163. #16839824C22semidirect
164. #16839823C22semidirect
165. #16839822C22semidirect
166. #16839822C22semidirect
167. #16839821C22semidirect
168. #16839820C22semidirect
169. #16839820C22semidirect
170. #16839803C22semidirect
171. #16839803C22semidirect
172. #16839801C22semidirect
173. #16839801C22semidirect
174. #16839784C22semidirect
175. #16839784C22semidirect
180. #16839762C22semidirect
181. #16839762C22semidirect
182. #16839760C22semidirect
183. #16839760C22semidirect
186. #16839714C22semidirect
187. C4×#11758189C22semidirect
188. C61×#542C22semidirect
190. C61×#485C22semidirect
191. C61×#482C22semidirect
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
202. C61×#433C22semidirect
241. #14519777C23semidirect
242. #14519775C23semidirect
243. #14519773C23semidirect
253. #14519768C23semidirect
254. #14519768C23semidirect
258. #14519765C23semidirect
290. Q8×Dic61C23semidirect
291. C4×Dic122C23semidirect
293. #14519742C23semidirect
301. C4×D244C23semidirect
309. D4×Dic61C23semidirect
318. #14519739C23semidirect
387. #14519711C23semidirect
388. #14519711C23semidirect
389. #14519710C23semidirect
390. #14519710C23semidirect
391. #14519710C23semidirect
392. #14519710C23semidirect
393. #14519709C23semidirect
394. #14519709C23semidirect
395. #14519708C23semidirect
396. #14519708C23semidirect
397. #14519708C23semidirect
398. #14519708C23semidirect
399. C4⋊#92418C23semidirect
400. C4⋊#92418C23semidirect
401. #14519706C23semidirect
402. #14519706C23semidirect
403. #14519706C23semidirect
404. #14519706C23semidirect
405. #14519702C23semidirect
406. #14519702C23semidirect
407. #14519701C23semidirect
408. #14519701C23semidirect
409. #14519700C23semidirect
410. #14519700C23semidirect
415. #14519699C23semidirect
416. #14519699C23semidirect
421. #14519698C23semidirect
422. #14519698C23semidirect
427. #14519697C23semidirect
428. #14519697C23semidirect
435. #14519688C23semidirect
436. #14519687C23semidirect
437. #14519687C23semidirect
438. C4×#92418C23semidirect
439. C8×Dic61C23semidirect
440. C8×Dic61C23semidirect
446. C4⋊Q8×C61C23semidirect
449. #124×C61C23semidirect
454. C4×Q8×C61C23semidirect
461. C4×D4×C61C23semidirect
466. #107×C61C23semidirect
467. #107×C61C23semidirect
468. #106×C61C23semidirect
469. #106×C61C23semidirect
470. C4⋊C8×C61C23semidirect
471. C4⋊C8×C61C23semidirect
472. #103×C61C23semidirect
473. #103×C61C23semidirect
478. #102×C61C23semidirect
479. #102×C61C23semidirect
482. #97×C61C23semidirect
483. C4×C8×C61C23semidirect
909. #3118D61semidirect
943. #542C2×D61semidirect
991. #485C2×D61semidirect
999. #482C2×D61semidirect
1011. #476C2×D61semidirect
1015. #474C2×D61semidirect
1022. #463C2×D61semidirect
1023. #463C2×D61semidirect
1055. #442C2×D61semidirect
1063. #440C2×D61semidirect
1071. C4×SD16C2×D61semidirect
1079. C4×D8C2×D61semidirect
1087. #433C2×D61semidirect
1106. C61#60564semidirect
1152. C4⋊Q8C22×D61semidirect
1173. #124C22×D61semidirect
1211. C4×Q8C22×D61semidirect
1265. C4×D4C22×D61semidirect
1322. #107C22×D61semidirect
1323. #107C22×D61semidirect
1330. #106C22×D61semidirect
1331. #106C22×D61semidirect
1338. C4⋊C8C22×D61semidirect
1339. C4⋊C8C22×D61semidirect
1346. #103C22×D61semidirect
1347. #103C22×D61semidirect
1370. #102C22×D61semidirect
1371. #102C22×D61semidirect
1383. #97C22×D61semidirect
1387. C4×C8C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214592062
#518×D612
#214560702
#214560682
#214560672
#214560652
#214560612
#214560592
#214560582
#214560562
#214560102
#214560082
#214560052
#214560032
#214560022
#214560002
#214559972
#214557512
#214557472
#214556172
#214556112
#214552812
#214550472
#214550432
#214546302
C4×#145198042
#214546242
C4×#145198012
#214544532
C61×#31182
#6056461