Finite Group Databasebeta

← #30546229

Subgroups — #30546229

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459432C211yesmaximal, characteristic
2#21454987C211yesmaximal, characteristic, complemented
3#21454985C211yesmaximal, characteristic, complemented
4#21454976C211yesmaximal, characteristic, complemented
5#21454966C211yesmaximal, characteristic, complemented
6#21454959C211yesmaximal, characteristic, complemented
7#21454942C211yesmaximal, characteristic, complemented
8#21454937C211yesmaximal, characteristic, complemented
9#21454931C211yesmaximal, characteristic, complemented
10#21454931C211yesmaximal, characteristic, complemented
11#21454923C211yesmaximal, characteristic, complemented
12#21454922C211yesmaximal, characteristic, complemented
13#21454911C211yesmaximal, characteristic, complemented
14#21454909C211yesmaximal, characteristic, complemented
15#21454901C211yesmaximal, characteristic, complemented
16#21454829C211yesmaximal, characteristic, complemented
17#21454828C211yesmaximal, characteristic, complemented
18#21454827C211yesmaximal, characteristic, complemented
19#21454821C211yesmaximal, characteristic, complemented
20#21454815C211yesmaximal, characteristic, complemented
21#21454807C211yesmaximal, characteristic, complemented
22#21454802C211yesmaximal, characteristic, complemented
23#21454801C211yesmaximal, characteristic, complemented
24#21454789C211yesmaximal, characteristic, complemented
25#21454779C211yesmaximal, characteristic, complemented
26#21454771C211yesmaximal, characteristic, complemented
27#21454765C211yesmaximal, characteristic, complemented
28#21454758C211yesmaximal, characteristic, complemented
29#21454755C211yesmaximal, characteristic, complemented
30C2×#16839891C211yesmaximal, characteristic, complemented
31C61×#2992C211yesmaximal, characteristic, complemented
32#16840489C411yescharacteristic
33#16840481C411yescharacteristic
34#16840479C411yescharacteristic
35#16840479C411yescharacteristic
36#16840454C411yescharacteristic
37#16840450C411yescharacteristic
38#16840449C411yescharacteristic
39#16840449C411yescharacteristic
40#16840448C411yescharacteristic
41#16840448C411yescharacteristic
42#16840425C411yescharacteristic
43#16840420C411yescharacteristic
44#16840418C411yescharacteristic
45#16840412C411yescharacteristic
46#16840410C411yescharacteristic
47#16840410C411yescharacteristic
48#16840316C2211yescharacteristic
49#16840315C2211yescharacteristic
50#16840315C2211yescharacteristic
51#16840294C2211yescharacteristic
52#16840292C2211yescharacteristic
53#16840292C2211yescharacteristic
54#16840290C2211yescharacteristic
55#16840290C2211yescharacteristic
56C4×#11758222C2211yescharacteristic
57C4×#11758224C2211yescharacteristic
58C4×#11758224C2211yescharacteristic
59C4×#11758224C2211yescharacteristic
60C2×C4×Dic122C2211yescharacteristic
61C4×Q8×D61C2211yescharacteristic
62#16839893C2211yescharacteristic
63#16839893C2211yescharacteristic
64#16839892C2211yescharacteristic
65#16839892C2211yescharacteristic
66#16839892C2211yescharacteristic
67#16839891C2211yescharacteristic
68#16839891C2211yescharacteristic
69#16839891C2211yescharacteristic
70#16839891C2211yescharacteristic
71#16839891C2211yescharacteristic
72#16839891C2211yescharacteristic
73#16839891C2211yescharacteristic
74#16839891C2211yescharacteristic
75#16839891C2211yescharacteristic
76#16839891C2211yescharacteristic
77#16839891C2211yescharacteristic
78#16839891C2211yescharacteristic
79#16839891C2211yescharacteristic
80#16839891C2211yescharacteristic
81#16839890C2211yescharacteristic
82#16839890C2211yescharacteristic
83#16839890C2211yescharacteristic
84#16839890C2211yescharacteristic
85#16839890C2211yescharacteristic
86#16839890C2211yescharacteristic
87#16839890C2211yescharacteristic
88#16839890C2211yescharacteristic
89#16839889C2211yescharacteristic
90#16839889C2211yescharacteristic
91#16839889C2211yescharacteristic
92#16839889C2211yescharacteristic
93#16839889C2211yescharacteristic
94#16839889C2211yescharacteristic
95#16839889C2211yescharacteristic
96C8×Dic122C2211yescharacteristic
97#16839886C2211yescharacteristic
98#16839886C2211yescharacteristic
99#16839886C2211yescharacteristic
100#16839839C2211yescharacteristic
101#16839839C2211yescharacteristic
102#16839838C2211yescharacteristic
103#16839838C2211yescharacteristic
104#16839838C2211yescharacteristic
105#16839837C2211yescharacteristic
106#16839837C2211yescharacteristic
107#16839837C2211yescharacteristic
108#16839836C2211yescharacteristic
109#16839834C2211yescharacteristic
110#16839834C2211yescharacteristic
111#16839834C2211yescharacteristic
112#16839834C2211yescharacteristic
113#16839833C2211yescharacteristic
114#16839833C2211yescharacteristic
115#16839833C2211yescharacteristic
116#16839833C2211yescharacteristic
117#16839833C2211yescharacteristic
118#16839833C2211yescharacteristic
119#16839833C2211yescharacteristic
120#16839832C2211yescharacteristic
121#16839832C2211yescharacteristic
122#16839831C2211yescharacteristic
123#16839830C2211yescharacteristic
124#16839830C2211yescharacteristic
125#16839830C2211yescharacteristic
126#16839830C2211yescharacteristic
127#16839830C2211yescharacteristic
128D4×#92418C2211yescharacteristic
129D4×#92418C2211yescharacteristic
130C8×C22⋊D61C2211yescharacteristic
131#16839825C2211yescharacteristic
132#16839825C2211yescharacteristic
133#16839825C2211yescharacteristic
134#16839824C2211yescharacteristic
135#16839823C2211yescharacteristic
136#16839823C2211yescharacteristic
137#16839822C2211yescharacteristic
138#16839822C2211yescharacteristic
139#16839821C2211yescharacteristic
140#16839820C2211yescharacteristic
141#16839820C2211yescharacteristic
142#16839820C2211yescharacteristic
143#16839820C2211yescharacteristic
144#16839818C2211yescharacteristic
145#16839818C2211yescharacteristic
146#16839818C2211yescharacteristic
147#16839817C2211yescharacteristic
148#16839817C2211yescharacteristic
149#16839817C2211yescharacteristic
150#16839816C2211yescharacteristic
151#16839816C2211yescharacteristic
152#16839816C2211yescharacteristic
153#16839816C2211yescharacteristic
154#16839816C2211yescharacteristic
155#16839815C2211yescharacteristic
156#16839814C2211yescharacteristic
157#16839813C2211yescharacteristic
158#16839812C2211yescharacteristic
159#16839812C2211yescharacteristic
160#16839812C2211yescharacteristic
161#16839790C2211yescharacteristic
162#16839788C2211yescharacteristic
163#16839787C2211yescharacteristic
164#16839787C2211yescharacteristic
165#16839785C2211yescharacteristic
166#16839784C2211yescharacteristic
167#16839784C2211yescharacteristic
168#16839784C2211yescharacteristic
169#16839784C2211yescharacteristic
170C2×#14519706C2211yescharacteristic
171C2×#14519706C2211yescharacteristic
172C2×#14519706C2211yescharacteristic
173#16839720C2211yescharacteristic
174#16839719C2211yescharacteristic
175#16839718C2211yescharacteristic
176#16839718C2211yescharacteristic
177#16839717C2211yescharacteristic
178#16839716C2211yescharacteristic
179#16839714C2211yescharacteristic
180#16839714C2211yescharacteristic
181M16×Dic61C2211yescharacteristic
182C4×#11758189C2211yescharacteristic
183C2×#14519688C2211yescharacteristic
184C2×#14519687C2211yescharacteristic
185C2×#14519687C2211yescharacteristic
186#97×D61C2211yescharacteristic
187C2×C8×Dic61C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C61×#446C2211yescharacteristic
190C61×#446C2211yescharacteristic
191C61×#435C2211yescharacteristic
192C61×#435C2211yescharacteristic
193C61×#435C2211yescharacteristic
194C61×#435C2211yescharacteristic
195C8×D4×C61C2211yescharacteristic
196C8×D4×C61C2211yescharacteristic
197C61×#433C2211yescharacteristic
198C61×#433C2211yescharacteristic
199C61×#432C2211yescharacteristic
200C61×#424C2211yescharacteristic
201C61×#424C2211yescharacteristic
202C2×C4⋊C8×C61C2211yescharacteristic
203C2×#11758222C2×C411yescharacteristic
204C2×#11758224C2×C411yescharacteristic
205C2×#11758224C2×C411yescharacteristic
206C2×#11758224C2×C411yescharacteristic
207C22×Dic122C2×C411yescharacteristic
208C2×Q8×D61C2×C411yescharacteristic
209C2×#11758194C2311yescharacteristic
210C2×#11758194C2311yescharacteristic
211C2×#11758189C2311yescharacteristic
212C2×#11758189C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C22×#92418C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220C22×#92418C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519776C2×C411yescharacteristic
224#14519776C2×C411yescharacteristic
225#14519776C2×C411yescharacteristic
226#14519776C2×C411yescharacteristic
227#14519776C2×C411yescharacteristic
228#14519775C2×C411yescharacteristic
229#14519772C2×C411yescharacteristic
230#14519772C2×C411yescharacteristic
231#14519772C2×C411yescharacteristic
232#14519772C2×C411yescharacteristic
233#14519770C2×C411yescharacteristic
234#14519770C2×C411yescharacteristic
235#14519770C2×C411yescharacteristic
236#14519770C2×C411yescharacteristic
237#14519770C2×C411yescharacteristic
238#14519770C2×C411yescharacteristic
239#14519768C2×C411yescharacteristic
240#14519768C2×C411yescharacteristic
241#14519768C2×C411yescharacteristic
242#14519768C2×C411yescharacteristic
243#14519768C2×C411yescharacteristic
244#14519767C2×C411yescharacteristic
245#14519767C2×C411yescharacteristic
246#14519767C2×C411yescharacteristic
247#14519767C2×C411yescharacteristic
248#14519767C2×C411yescharacteristic
249#14519767C2×C411yescharacteristic
250#14519764C2×C411yescharacteristic
251#14519763C2×C411yescharacteristic
252#14519763C2×C411yescharacteristic
253#14519763C2×C411yescharacteristic
254#14519763C2×C411yescharacteristic
255#14519762C2×C411yescharacteristic
256#14519762C2×C411yescharacteristic
257#14519761C2×C411yescharacteristic
258#14519761C2×C411yescharacteristic
259#14519759C2×C411yescharacteristic
260#14519759C2×C411yescharacteristic
261#14519759C2×C411yescharacteristic
262#14519759C2×C411yescharacteristic
263#14519758C2×C411yescharacteristic
264#14519758C2×C411yescharacteristic
265#14519757C2×C411yescharacteristic
266#14519757C2×C411yescharacteristic
267#14519755C2×C411yescharacteristic
268#14519755C2×C411yescharacteristic
269#14519755C2×C411yescharacteristic
270#14519755C2×C411yescharacteristic
271#14519754C2×C411yescharacteristic
272#14519754C2×C411yescharacteristic
273#14519754C2×C411yescharacteristic
274#14519754C2×C411yescharacteristic
275#14519754C2×C411yescharacteristic
276#14519754C2×C411yescharacteristic
277#14519754C2×C411yescharacteristic
278#14519754C2×C411yescharacteristic
279#14519754C2×C411yescharacteristic
280#14519754C2×C411yescharacteristic
281#14519753C2×C411yescharacteristic
282#14519750C2×C411yescharacteristic
283#14519750C2×C411yescharacteristic
284#14519749C2×C411yescharacteristic
285#14519749C2×C411yescharacteristic
286#14519748C2×C411yescharacteristic
287Q8×Dic61C2×C411yescharacteristic
288C4×Dic122C2×C411yescharacteristic
289C4×Dic122C2×C411yescharacteristic
290C4×Dic122C2×C411yescharacteristic
291C4×Dic122C2×C411yescharacteristic
292C4×Dic122C2×C411yescharacteristic
293C4×Dic122C2311yescharacteristic
294C4×Dic122C2311yescharacteristic
295C4×Dic122C2311yescharacteristic
296C4×Dic122C2311yescharacteristic
297C4×Dic122C2311yescharacteristic
298C4×Dic122C2311yescharacteristic
299C4×Dic122C2311yescharacteristic
300C4×Dic122C2311yescharacteristic
301C4×Dic122C2311yescharacteristic
302#14519742C2×C411yescharacteristic
303#14519742C2×C411yescharacteristic
304#14519742C2×C411yescharacteristic
305#14519742C2×C411yescharacteristic
306#14519742C2×C411yescharacteristic
307#14519742C2×C411yescharacteristic
308C4×D244C2×C411yescharacteristic
309C4×D244C2311yescharacteristic
310D4×Dic61C2×C411yescharacteristic
311D4×Dic61C2×C411yescharacteristic
312D4×Dic61C2×C411yescharacteristic
313C4×C22⋊D61C2×C411yescharacteristic
314C4×C22⋊D61C2×C411yescharacteristic
315C4×C22⋊D61C2311yescharacteristic
316C4×C22⋊D61C2311yescharacteristic
317C4×C22⋊D61C2311yescharacteristic
318C4×C22⋊D61C2311yescharacteristic
319C4×C22⋊D61C2311yescharacteristic
320C4×C22⋊D61C2311yescharacteristic
321#14519737C2×C411yescharacteristic
322#14519737C2×C411yescharacteristic
323#14519737C2×C411yescharacteristic
324#14519737C2×C411yescharacteristic
325#14519737C2×C411yescharacteristic
326#14519737C2×C411yescharacteristic
327#14519736C2×C411yescharacteristic
328#14519736C2311yescharacteristic
329#14519736C2311yescharacteristic
330#14519735C2×C411yescharacteristic
331#14519735C2×C411yescharacteristic
332#14519735C2×C411yescharacteristic
333#14519734C2×C411yescharacteristic
334#14519734C2×C411yescharacteristic
335#14519734C2311yescharacteristic
336#14519734C2311yescharacteristic
337#14519733C2×C411yescharacteristic
338#14519733C2×C411yescharacteristic
339#14519733C2×C411yescharacteristic
340#14519733C2×C411yescharacteristic
341#14519733C2×C411yescharacteristic
342#14519733C2×C411yescharacteristic
343C2×C4⋊Dic61C2×C411yescharacteristic
344C2×#11758196C2×C411yescharacteristic
345C2×#11758196C2×C411yescharacteristic
346C4⋊C4×D61C2×C411yescharacteristic
347C4⋊C4×D61C2×C411yescharacteristic
348C4⋊C4×D61C2×C411yescharacteristic
349C2×C4×Dic61C2311yescharacteristic
350C2×C4×Dic61C2311yescharacteristic
351C2×C4×Dic61C2311yescharacteristic
352C2×C4×Dic61C2311yescharacteristic
353C42×D61C2311yescharacteristic
354C42×D61C2311yescharacteristic
355C42×D61C2311yescharacteristic
356C42×D61C2311yescharacteristic
357C4⋊#92418C2311yescharacteristic
358C4⋊#92418C2311yescharacteristic
359C4⋊#92418C2311yescharacteristic
360C4⋊#92418C2311yescharacteristic
361C4⋊#92418C2311yescharacteristic
362C4⋊#92418C2311yescharacteristic
363#14519706C2311yescharacteristic
364#14519706C2311yescharacteristic
365#14519706C2311yescharacteristic
366#14519706C2311yescharacteristic
367#14519706C2311yescharacteristic
368#14519706C2311yescharacteristic
369#14519706C2311yescharacteristic
370#14519706C2311yescharacteristic
371#14519706C2311yescharacteristic
372#14519706C2311yescharacteristic
373#14519706C2311yescharacteristic
374#14519706C2311yescharacteristic
375#14519706C2311yescharacteristic
376#14519706C2311yescharacteristic
377#14519706C2311yescharacteristic
378#14519706C2311yescharacteristic
379#14519706C2311yescharacteristic
380#14519706C2311yescharacteristic
381#14519706C2311yescharacteristic
382#14519706C2311yescharacteristic
383#14519706C2311yescharacteristic
384#14519706C2311yescharacteristic
385#14519706C2311yescharacteristic
386#14519706C2311yescharacteristic
387C22⋊#92418C2311yescharacteristic
388C22⋊#92418C2311yescharacteristic
389C22⋊#92418C2311yescharacteristic
390C22⋊#92418C2311yescharacteristic
391C22⋊#92418C2311yescharacteristic
392C22⋊#92418C2311yescharacteristic
393#14519689C2311yescharacteristic
394#14519689C2311yescharacteristic
395#14519689C2311yescharacteristic
396#14519689C2311yescharacteristic
397#14519689C2311yescharacteristic
398#14519689C2311yescharacteristic
399#14519689C2311yescharacteristic
400#14519689C2311yescharacteristic
401#14519688C2311yescharacteristic
402#14519688C2311yescharacteristic
403#14519688C2311yescharacteristic
404#14519688C2311yescharacteristic
405#14519688C2311yescharacteristic
406#14519688C2311yescharacteristic
407#14519687C2311yescharacteristic
408#14519687C2311yescharacteristic
409#14519687C2311yescharacteristic
410#14519687C2311yescharacteristic
411#14519687C2311yescharacteristic
412#14519687C2311yescharacteristic
413#14519687C2311yescharacteristic
414#14519687C2311yescharacteristic
415#14519687C2311yescharacteristic
416#14519687C2311yescharacteristic
417#14519687C2311yescharacteristic
418#14519687C2311yescharacteristic
419#14519687C2311yescharacteristic
420#14519687C2311yescharacteristic
421C4×#92418C2311yescharacteristic
422C4×#92418C2311yescharacteristic
423C4×#92418C2311yescharacteristic
424C4×#92418C2311yescharacteristic
425C8×Dic61C2311yescharacteristic
426C8×Dic61C2311yescharacteristic
427C8×Dic61C2311yescharacteristic
428C8×Dic61C2311yescharacteristic
429C8×Dic61C2311yescharacteristic
430C8×Dic61C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×M16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C22×C8×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441#126×C61C2×C411yescharacteristic
442#126×C61C2×C411yescharacteristic
443#125×C61C2×C411yescharacteristic
444#124×C61C2×C411yescharacteristic
445#123×C61C2×C411yescharacteristic
446#123×C61C2×C411yescharacteristic
447C22⋊Q8×C61C2×C411yescharacteristic
448#121×C61C2×C411yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456C4⋊C8×C61C2311yescharacteristic
457C4⋊C8×C61C2311yescharacteristic
458C4⋊C8×C61C2311yescharacteristic
459C4⋊C8×C61C2311yescharacteristic
460C4⋊C8×C61C2311yescharacteristic
461C4⋊C8×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61C22×C411yescharacteristic
479C2×D4×C61C22×C411yescharacteristic
480C2×D4×C61C22×C411yescharacteristic
481C2×D4×C61C22×C411yescharacteristic
482C22×C4×C61C22×C411yescharacteristic
483C22×C4×C61C22×C411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61C22×C411yescharacteristic
488C2×C22⋊D61C22×C411yescharacteristic
489C2×C22⋊D61C22×C411yescharacteristic
490C2×C22⋊D61C22×C411yescharacteristic
491C2×C22⋊D61C22×C411yescharacteristic
492C2×C22⋊D61C22×C411yescharacteristic
493C22×Dic61C22×C411yescharacteristic
494C22×Dic61C22×C411yescharacteristic
495C22×Dic61C22×C411yescharacteristic
496C22×Dic61C22×C411yescharacteristic
497C22×Dic61C22×C411yescharacteristic
498C22×Dic61C22×C411yescharacteristic
499C22×Dic61C22×C411yescharacteristic
500C22×Dic61C22×C411yescharacteristic
501Q8×D61—42no—
502#11758224—42no—
503#11758224—42no—
504#11758224—42no—
505#11758222—42no—
506C2×D244C22×C411yescharacteristic
507C2×C4×D61C22×C411yescharacteristic
508C2×C4×D61C22×C411yescharacteristic
509C2×C4×D61C22×C411yescharacteristic
510C2×C4×D61C22×C411yescharacteristic
511C2×C4×D61C22×C411yescharacteristic
512C2×C4×D61C22×C411yescharacteristic
513C2×C4×D61C22×C411yescharacteristic
514C2×C4×D61C22×C411yescharacteristic
515C2×C4×D61C2411yescharacteristic
516C2×C4×D61C2411yescharacteristic
517C2×Dic122—42no—
518C2×Dic122C22×C411yescharacteristic
519C2×Dic122C22×C411yescharacteristic
520C2×Dic122C22×C411yescharacteristic
521C2×Dic122C22×C411yescharacteristic
522C2×Dic122C22×C411yescharacteristic
523C2×Dic122C22×C411yescharacteristic
524C2×Dic122C22×C411yescharacteristic
525C2×Dic122C22×C411yescharacteristic
526C2×Dic122C22×C411yescharacteristic
527M16×C61—41no—
528M16×C61—41no—
529C2×C8×C61—41no—
530C2×C8×C61—41no—
531C2×C8×C61—41no—
532C2×C8×C61—41no—
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C2×C8×C61C2411yescharacteristic
537C2×C8×C61C2411yescharacteristic
538C2×C8×C61C2411yescharacteristic
539C2×C8×C61C2411yescharacteristic
540C2×C8×C61C2411yescharacteristic
541C4⋊C4×C61C22×C411yescharacteristic
542C4⋊C4×C61C22×C411yescharacteristic
543C4⋊C4×C61C22×C411yescharacteristic
544C4⋊C4×C61C22×C411yescharacteristic
545C4⋊C4×C61C22×C411yescharacteristic
546C4⋊C4×C61C22×C411yescharacteristic
547C4⋊C4×C61C22×C411yescharacteristic
548C4⋊C4×C61C22×C411yescharacteristic
549C4⋊C4×C61C22×C411yescharacteristic
550C4⋊C4×C61C22×C411yescharacteristic
551C22⋊C4×C61C22×C411yescharacteristic
552C22⋊C4×C61C22×C411yescharacteristic
553C22⋊C4×C61C22×C411yescharacteristic
554C22⋊C4×C61C22×C411yescharacteristic
555C22⋊C4×C61C22×C411yescharacteristic
556C22⋊C4×C61C22×C411yescharacteristic
557C22⋊C4×C61C22×C411yescharacteristic
558C22⋊C4×C61C22×C411yescharacteristic
559C22⋊C4×C61C22×C411yescharacteristic
560C22⋊C4×C61C22×C411yescharacteristic
561C42×C61C22×C411yescharacteristic
562C42×C61C22×C411yescharacteristic
563C42×C61C2411yescharacteristic
564C42×C61C2411yescharacteristic
565C42×C61C2411yescharacteristic
566C42×C61C2411yescharacteristic
567C22⋊Dic61C22×C411yescharacteristic
568C22⋊Dic61C22×C411yescharacteristic
569C22⋊Dic61C22×C411yescharacteristic
570C22⋊Dic61C22×C411yescharacteristic
571C22⋊Dic61C22×C411yescharacteristic
572C22⋊Dic61C22×C411yescharacteristic
573C22⋊Dic61C22×C411yescharacteristic
574C22⋊Dic61C22×C411yescharacteristic
575C22⋊Dic61C22×C411yescharacteristic
576C22⋊Dic61C22×C411yescharacteristic
577#11758198C22×C411yescharacteristic
578#11758198C22×C411yescharacteristic
579#11758198C22×C411yescharacteristic
580#11758198C22×C411yescharacteristic
581#11758198C22×C411yescharacteristic
582#11758198C22×C411yescharacteristic
583#11758198C22×C411yescharacteristic
584#11758198C22×C411yescharacteristic
585#11758198C22×C411yescharacteristic
586#11758198C22×C411yescharacteristic
587#11758198C22×C411yescharacteristic
588#11758198C22×C411yescharacteristic
589C4⋊Dic61C22×C411yescharacteristic
590C4⋊Dic61C22×C411yescharacteristic
591C4⋊Dic61C22×C411yescharacteristic
592C4⋊Dic61C22×C411yescharacteristic
593C4⋊Dic61C22×C411yescharacteristic
594C4⋊Dic61C22×C411yescharacteristic
595C4⋊Dic61C22×C411yescharacteristic
596C4⋊Dic61C22×C411yescharacteristic
597C4⋊Dic61C22×C411yescharacteristic
598C4⋊Dic61C22×C411yescharacteristic
599C4⋊Dic61C22×C411yescharacteristic
600C4⋊Dic61C22×C411yescharacteristic
601C4⋊Dic61C22×C411yescharacteristic
602C4⋊Dic61C22×C411yescharacteristic
603#11758196C22×C411yescharacteristic
604#11758196C22×C411yescharacteristic
605#11758196C22×C411yescharacteristic
606#11758196C22×C411yescharacteristic
607#11758196C22×C411yescharacteristic
608#11758196C22×C411yescharacteristic
609#11758196C22×C411yescharacteristic
610#11758196C22×C411yescharacteristic
611#11758196C22×C411yescharacteristic
612#11758196C22×C411yescharacteristic
613#11758196C22×C411yescharacteristic
614#11758196C22×C411yescharacteristic
615#11758196C22×C411yescharacteristic
616#11758196C22×C411yescharacteristic
617#11758196C22×C411yescharacteristic
618#11758196C22×C411yescharacteristic
619#11758196C22×C411yescharacteristic
620#11758196C22×C411yescharacteristic
621#11758196C22×C411yescharacteristic
622#11758196C22×C411yescharacteristic
623#11758196C22×C411yescharacteristic
624#11758196C22×C411yescharacteristic
625#11758196C22×C411yescharacteristic
626#11758196C22×C411yescharacteristic
627#11758196C22×C411yescharacteristic
628#11758196C22×C411yescharacteristic
629#11758196C22×C411yescharacteristic
630#11758196C22×C411yescharacteristic
631C4×Dic61C22×C411yescharacteristic
632C4×Dic61C22×C411yescharacteristic
633C4×Dic61C22×C411yescharacteristic
634C4×Dic61C22×C411yescharacteristic
635C4×Dic61C22×C411yescharacteristic
636C4×Dic61C22×C411yescharacteristic
637C4×Dic61C22×C411yescharacteristic
638C4×Dic61C22×C411yescharacteristic
639C4×Dic61C22×C411yescharacteristic
640C4×Dic61C22×C411yescharacteristic
641C4×Dic61C22×C411yescharacteristic
642C4×Dic61C22×C411yescharacteristic
643C4×Dic61C22×C411yescharacteristic
644C4×Dic61C22×C411yescharacteristic
645C4×Dic61C22×C411yescharacteristic
646C4×Dic61C22×C411yescharacteristic
647C4×Dic61C2411yescharacteristic
648C4×Dic61C2411yescharacteristic
649C4×Dic61C2411yescharacteristic
650C4×Dic61C2411yescharacteristic
651C4×Dic61C2411yescharacteristic
652C4×Dic61C2411yescharacteristic
653#11758194—22no—
654#11758194—41no—
655C2×#92418—22no—
656C2×#92418—22no—
657C2×#92418—41no—
658C2×#92418—41no—
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667#11758189—22no—
668#11758189—41no—
669#11758189—41no—
670#11758189—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—22no—
674C8×D61—41no—
675C23×C61C23×C411yescharacteristic
676C23×C61C23×C411yescharacteristic
677C23×C61C23×C411yescharacteristic
678C22×D61C23×C411yescharacteristic
679C22×D61C23×C411yescharacteristic
680Q8×C61—41no—
681D4×C61—22no—
682D4×C61—22no—
683D4×C61—41no—
684C2×C4×C61—22no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—41no—
692C2×C4×C61C23×C411yescharacteristic
693C2×C4×C61C23×C411yescharacteristic
694C2×C4×C61C23×C411yescharacteristic
695C2×C4×C61C23×C411yescharacteristic
696C2×C4×C61C23×C411yescharacteristic
697C2×C4×C61C23×C411yescharacteristic
698C2×C4×C61C23×C411yescharacteristic
699C2×C4×C61C23×C411yescharacteristic
700C2×C4×C61C23×C411yescharacteristic
701C2×C4×C61C23×C411yescharacteristic
702C2×C4×C61C23×C411yescharacteristic
703C2×C4×C61C2511yescharacteristic
704C22⋊D61—22no—
705C22⋊D61—22no—
706C22⋊D61—22no—
707C22⋊D61—41no—
708C22⋊D61—41no—
709C22⋊D61—41no—
710C2×Dic61—22no—
711C2×Dic61—22no—
712C2×Dic61—22no—
713C2×Dic61—22no—
714C2×Dic61—41no—
715C2×Dic61—41no—
716C2×Dic61—41no—
717C2×Dic61—41no—
718C2×Dic61C23×C411yescharacteristic
719C2×Dic61C23×C411yescharacteristic
720C2×Dic61C23×C411yescharacteristic
721C2×Dic61C23×C411yescharacteristic
722C2×Dic61C23×C411yescharacteristic
723C2×Dic61C23×C411yescharacteristic
724C2×Dic61C23×C411yescharacteristic
725C2×Dic61C23×C411yescharacteristic
726C2×Dic61C23×C411yescharacteristic
727C2×Dic61C23×C411yescharacteristic
728C2×Dic61C23×C411yescharacteristic
729C2×Dic61C23×C411yescharacteristic
730C2×Dic61C23×C411yescharacteristic
731C2×Dic61C23×C411yescharacteristic
732D244—41no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—21no—
736C4×D61—21no—
737C4×D61—22no—
738C4×D61—41no—
739C4×D61—41no—
740C4×D61—41no—
741C4×D61—41no—
742C4×D61—41no—
743C4×D61—41no—
744C4×D61—41no—
745Dic122—22no—
746Dic122—22no—
747Dic122—22no—
748Dic122—41no—
749Dic122—41no—
750Dic122—41no—
751Dic122—41no—
752Dic122—41no—
753Dic122—41no—
754C8×C61—21no—
755C8×C61—21no—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760C8×C61—21no—
761C8×C61—21no—
762#92418—21no—
763#92418—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#92418—21no—
769#924182−1+412yes—
770#60342—611nomaximal, Sylow
771C22×C61—21no—
772C22×C61—21no—
773C22×C61—21no—
774C22×C61—21no—
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61#56812yes—
780C22×C61C24×C411yescharacteristic
781C2×D61—21no—
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—21no—
785C2×D61—21no—
786C2×D61—21no—
787C4×C61—21no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—21no—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61C2×2−1+411yescharacteristic
799C4×C61#58511yescharacteristic
800Dic61—21no—
801Dic61—21no—
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—21no—
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61#56812yes—
814#3482—611no—
815#2995—611no—
816#2995—611no—
817#2994—611no—
818#2993—611no—
819#2992—611no—
820#2992D6111yescharacteristic, complemented
821#2990—611no—
822#2989—611no—
823#2989—611no—
824#2989—611no—
825#2987—611no—
826#2987—611no—
827#2985—611no—
828#2984—611no—
829#2983—611no—
830#2970—611no—
831#2970—611no—
832#2970—611no—
833#2969—611no—
834#2968—611no—
835#2968—611no—
836#2967—611no—
837#2967—611no—
838#2966—611no—
839#2965—611no—
840Q8×M16—611no—
841#2962—611no—
842#2961—611no—
843#2961—611no—
844C2×#446—611no—
845C2×C61—22no—
846C2×C61—41no—
847C2×C61—41no—
848C2×C61C4×2−1+411yescharacteristic
849C2×C61C2×#56811yescharacteristic
850C2×C61C2×#56811yescharacteristic
851D61—41no—
852D61—41no—
853#557—611no—
854#556—611no—
855#556—611no—
856#556—611no—
857#552—611no—
858#552—611no—
859#552—611no—
860#552—611no—
861#552—611no—
862#552—611no—
863D4×Q8—611no—
864#548—611no—
865#548—611no—
866#547—611no—
867#547—611no—
868#547—611no—
869#533—611no—
870#533—611no—
871#533—611no—
872#529—611no—
873#529—611no—
874#529—611no—
875#529—611no—
876#529—611no—
877#529C2×D6111yescharacteristic
878C4×#41—611no—
879C4×#41—611no—
880C4×#41—611no—
881C4×#41—611no—
882C2×C4×Q8—611no—
883C2×C4×Q8—611no—
884#446—611no—
885#446—611no—
886#446—611no—
887#446—611no—
888#446—611no—
889#446—611no—
890#446—611no—
891#446—611no—
892#446—611no—
893#446—611no—
894#446—611no—
895#446—611no—
896#446—611no—
897#446—611no—
898#446—611no—
899#446—611no—
900#446—611no—
901#446—611no—
902#446—611no—
903#446—611no—
904#446—611no—
905#446—611no—
906#446—611no—
907#446—611no—
908#446—611no—
909#446—611no—
910#446—611no—
911#446—611no—
912#446—611no—
913#446—611no—
914#446—611no—
915#446—611no—
916#446—611no—
917#446—611no—
918#446C2×D6111yescharacteristic
919#446C2×D6111yescharacteristic
920C8×Q8—611no—
921C8×Q8—611no—
922C8×Q8—611no—
923C8×Q8—611no—
924#436—611no—
925#436—611no—
926#436—611no—
927#436—611no—
928#436—611no—
929#436—611no—
930#436—611no—
931#436—611no—
932#435—611no—
933#435—611no—
934#435—611no—
935#435—611no—
936#435—611no—
937#435—611no—
938#435—611no—
939#435—611no—
940#435—611no—
941#435—611no—
942#435—611no—
943#435—611no—
944#435—611no—
945#435—611no—
946#435—611no—
947#435—611no—
948#435—611no—
949#435—611no—
950#435—611no—
951#435—611no—
952#435C2×D6111yescharacteristic
953#435C2×D6111yescharacteristic
954#435C2×D6111yescharacteristic
955#435C2×D6111yescharacteristic
956C8×D4—611no—
957C8×D4—611no—
958C8×D4—611no—
959C8×D4—611no—
960C8×D4—611no—
961C8×D4—611no—
962C8×D4C2×D6111yescharacteristic
963C8×D4C2×D6111yescharacteristic
964#433—611no—
965#433—611no—
966#433—611no—
967#433—611no—
968#433—611no—
969#433—611no—
970#433—611no—
971#433—611no—
972#433—611no—
973#433—611no—
974#433C2×D6111yescharacteristic
975#433C2×D6111yescharacteristic
976#432—611no—
977#432—611no—
978#432—611no—
979#432—611no—
980#432—611no—
981#432—611no—
982#432—611no—
983#432—611no—
984#432—611no—
985#432—611no—
986#432—611no—
987#432C2×D6111yescharacteristic
988#431—611no—
989#431—611no—
990#431—611no—
991#431—611no—
992#431—611no—
993#431—611no—
994#424—611no—
995#424—611no—
996#424—611no—
997#424—611no—
998#424C2×D6111yescharacteristic
999#424C2×D6111yescharacteristic
1000#423—611no—
1001#423—611no—
1002#423—611no—
1003#423—611no—
1004#423—611no—
1005C2×C4⋊C8—611no—
1006C2×C4⋊C8—611no—
1007C2×C4⋊C8—611no—
1008C2×C4⋊C8C2×D6111yescharacteristic
1009#405—611no—
1010#405—611no—
1011#405—611no—
1012#405—611no—
1013#405—611no—
1014#405—611no—
1015C4×M16—611no—
1016C4×M16—611no—
1017C4×M16—611no—
1018C4×M16—611no—
1019C2×#97—611no—
1020C2×#97—611no—
1021C2×#97—611no—
1022C2×#97—611no—
1023C2×C4×C8—611no—
1024C61#6034211yescharacteristic, complemented, Sylow
1025C2×#41—611no—
1026C2×#41—611no—
1027C2×#41—611no—
1028C2×#41—611no—
1029C22×Q8—611no—
1030C22×Q8—611no—
1031C2×M16—611no—
1032C2×M16—611no—
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16—611no—
1037C2×M16—611no—
1038C2×M16—611no—
1039C2×M16C22×D6111yescharacteristic
1040C2×M16C22×D6111yescharacteristic
1041C22×C8—611no—
1042C22×C8—611no—
1043C22×C8—611no—
1044C22×C8—611no—
1045C22×C8—611no—
1046C22×C8—611no—
1047C22×C8C22×D6111yescharacteristic
1048C22×C8C22×D6111yescharacteristic
1049C22×C8C22×D6111yescharacteristic
1050C22×C8C22×D6111yescharacteristic
1051C4⋊Q8—611no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057#126—611no—
1058#126—611no—
1059#126—611no—
1060#126—611no—
1061#126—611no—
1062#126—611no—
1063#126—611no—
1064#126—611no—
1065#126—611no—
1066#126—611no—
1067#126C4×D6111yescharacteristic
1068#126C4×D6111yescharacteristic
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—611no—
1074#125—611no—
1075#125—611no—
1076#125—611no—
1077#125—611no—
1078#125—611no—
1079#125—611no—
1080#125C4×D6111yescharacteristic
1081#124—611no—
1082#124—611no—
1083#124—611no—
1084#124—611no—
1085#124—611no—
1086#124C4×D6111yescharacteristic
1087#123—611no—
1088#123—611no—
1089#123—611no—
1090#123—611no—
1091#123—611no—
1092#123—611no—
1093#123—611no—
1094#123—611no—
1095#123—611no—
1096#123—611no—
1097#123C4×D6111yescharacteristic
1098#123C4×D6111yescharacteristic
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8C4×D6111yescharacteristic
1117#121—611no—
1118#121—611no—
1119#121—611no—
1120#121—611no—
1121#121—611no—
1122#121C4×D6111yescharacteristic
1123C4×Q8—611no—
1124C4×Q8—611no—
1125C4×Q8—611no—
1126C4×Q8—611no—
1127C4×Q8—611no—
1128C4×Q8—611no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8C22×D6111yescharacteristic
1145C4×D4—611no—
1146C4×D4—611no—
1147C4×D4—611no—
1148C4×D4—611no—
1149C4×D4—611no—
1150C4×D4—611no—
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4C22×D6111yescharacteristic
1165C4×D4C22×D6111yescharacteristic
1166C4×D4C22×D6111yescharacteristic
1167#117—611no—
1168#117—611no—
1169#117—611no—
1170#117—611no—
1171#117—611no—
1172#117—611no—
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—611no—
1178#117—611no—
1179#117—611no—
1180#117—611no—
1181#117—611no—
1182#117—611no—
1183#117C22×D6111yescharacteristic
1184#117C22×D6111yescharacteristic
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C42—611no—
1192C2×C42—611no—
1193C2×C42—611no—
1194C2×C42—611no—
1195C2×C42—611no—
1196C2×C42—611no—
1197C2×C42—611no—
1198C2×C42—611no—
1199C2×C42C22×D6111yescharacteristic
1200C4⋊C8—611no—
1201C4⋊C8—611no—
1202C4⋊C8—611no—
1203C4⋊C8—611no—
1204C4⋊C8—611no—
1205C4⋊C8—611no—
1206C4⋊C8—611no—
1207C4⋊C8—611no—
1208C4⋊C8—611no—
1209C4⋊C8—611no—
1210C4⋊C8—611no—
1211C4⋊C8—611no—
1212C4⋊C8—611no—
1213C4⋊C8—611no—
1214C4⋊C8—611no—
1215C4⋊C8—611no—
1216C4⋊C8—611no—
1217C4⋊C8—611no—
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8—611no—
1229C4⋊C8—611no—
1230C4⋊C8C22×D6111yescharacteristic
1231C4⋊C8C22×D6111yescharacteristic
1232C4⋊C8C22×D6111yescharacteristic
1233C4⋊C8C22×D6111yescharacteristic
1234C4⋊C8C22×D6111yescharacteristic
1235C4⋊C8C22×D6111yescharacteristic
1236C4⋊C8C22×D6111yescharacteristic
1237C4⋊C8C22×D6111yescharacteristic
1238C4⋊C8C22×D6111yescharacteristic
1239C4⋊C8C22×D6111yescharacteristic
1240C22⋊C8—611no—
1241C22⋊C8—611no—
1242C22⋊C8—611no—
1243C22⋊C8—611no—
1244C22⋊C8—611no—
1245C22⋊C8—611no—
1246C22⋊C8—611no—
1247C22⋊C8—611no—
1248C22⋊C8—611no—
1249C22⋊C8—611no—
1250C22⋊C8—611no—
1251C22⋊C8—611no—
1252C22⋊C8—611no—
1253C22⋊C8—611no—
1254C22⋊C8C22×D6111yescharacteristic
1255C22⋊C8C22×D6111yescharacteristic
1256C22⋊C8C22×D6111yescharacteristic
1257C22⋊C8C22×D6111yescharacteristic
1258C22⋊C8C22×D6111yescharacteristic
1259C22⋊C8C22×D6111yescharacteristic
1260#97—611no—
1261#97—611no—
1262#97—611no—
1263#97—611no—
1264#97—611no—
1265#97—611no—
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97—611no—
1273#97—611no—
1274#97—611no—
1275#97—611no—
1276#97—611no—
1277#97—611no—
1278#97—611no—
1279#97—611no—
1280#97C22×D6111yescharacteristic
1281#97C22×D6111yescharacteristic
1282#97C22×D6111yescharacteristic
1283#97C22×D6111yescharacteristic
1284C4×C8—611no—
1285C4×C8—611no—
1286C4×C8—611no—
1287C4×C8—611no—
1288C4×C8—611no—
1289C4×C8—611no—
1290C4×C8—611no—
1291C4×C8—611no—
1292C4×C8—611no—
1293C4×C8—611no—
1294C4×C8—611no—
1295C4×C8—611no—
1296C4×C8—611no—
1297C4×C8—611no—
1298C4×C8C22×D6111yescharacteristic
1299C4×C8C22×D6111yescharacteristic
1300#41—2442no—
1301#41—2442no—
1302#41—2442no—
1303#41—2442no—
1304C2×Q8—611no—
1305C2×Q8—611no—
1306C2×Q8—611no—
1307C2×Q8—611no—
1308C2×Q8—611no—
1309C2×Q8—611no—
1310C2×Q8—611no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—2442no—
1314C2×Q8—2442no—
1315C2×Q8C2×C4×D6111yescharacteristic
1316C2×D4—611no—
1317C2×D4—611no—
1318C2×D4—611no—
1319C2×D4—611no—
1320C2×D4—611no—
1321C2×D4—611no—
1322C2×D4—611no—
1323C2×D4C2×C4×D6111yescharacteristic
1324C2×D4C2×C4×D6111yescharacteristic
1325C2×D4C2×C4×D6111yescharacteristic
1326C22×C4—611no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—611no—
1336C22×C4—611no—
1337C22×C4—611no—
1338C22×C4—611no—
1339C22×C4—611no—
1340C22×C4—611no—
1341C22×C4—611no—
1342C22×C4—611no—
1343C22×C4—611no—
1344C22×C4C2×C4×D6111yescharacteristic
1345C22×C4C2×C4×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347C22×C4C23×D6111yescharacteristic
1348C22×C4C23×D6111yescharacteristic
1349M16—41no—
1350M16—41no—
1351M16—1222no—
1352M16—1222no—
1353M16—2441no—
1354M16—2441no—
1355M16—2441no—
1356M16—2441no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—41no—
1360C2×C8—41no—
1361C2×C8—41no—
1362C2×C8—41no—
1363C2×C8—611no—
1364C2×C8—611no—
1365C2×C8—611no—
1366C2×C8—611no—
1367C2×C8—611no—
1368C2×C8—611no—
1369C2×C8—611no—
1370C2×C8—611no—
1371C2×C8—1222no—
1372C2×C8—1222no—
1373C2×C8—1222no—
1374C2×C8—2441no—
1375C2×C8—2441no—
1376C2×C8—2441no—
1377C2×C8C23×D6111yescharacteristic
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C2×C8C23×D6111yescharacteristic
1382C2×C8C23×D6111yescharacteristic
1383C2×C8C23×D6111yescharacteristic
1384C2×C8C23×D6111yescharacteristic
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4C2×C4×D6111yescharacteristic
1428C4⋊C4C2×C4×D6111yescharacteristic
1429C4⋊C4C2×C4×D6111yescharacteristic
1430C4⋊C4C2×C4×D6111yescharacteristic
1431C4⋊C4C2×C4×D6111yescharacteristic
1432C4⋊C4C2×C4×D6111yescharacteristic
1433C4⋊C4C2×C4×D6111yescharacteristic
1434C4⋊C4C2×C4×D6111yescharacteristic
1435C4⋊C4C2×C4×D6111yescharacteristic
1436C4⋊C4C2×C4×D6111yescharacteristic
1437C22⋊C4—611no—
1438C22⋊C4—611no—
1439C22⋊C4—611no—
1440C22⋊C4—611no—
1441C22⋊C4—611no—
1442C22⋊C4—611no—
1443C22⋊C4—611no—
1444C22⋊C4—611no—
1445C22⋊C4—611no—
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—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4C2×C4×D6111yescharacteristic
1460C22⋊C4C2×C4×D6111yescharacteristic
1461C22⋊C4C2×C4×D6111yescharacteristic
1462C22⋊C4C2×C4×D6111yescharacteristic
1463C22⋊C4C2×C4×D6111yescharacteristic
1464C22⋊C4C2×C4×D6111yescharacteristic
1465C22⋊C4C2×C4×D6111yescharacteristic
1466C22⋊C4C2×C4×D6111yescharacteristic
1467C22⋊C4C2×C4×D6111yescharacteristic
1468C22⋊C4C2×C4×D6111yescharacteristic
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—611no—
1473C42—611no—
1474C42—611no—
1475C42—611no—
1476C42—611no—
1477C42—611no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—611no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42C2×C4×D6111yescharacteristic
1492C42C2×C4×D6111yescharacteristic
1493C42C23×D6111yescharacteristic
1494C42C23×D6111yescharacteristic
1495C42C23×D6111yescharacteristic
1496C42C23×D6111yescharacteristic
1497C23—611no—
1498C23—611no—
1499C23C22×C4×D6111yescharacteristic
1500C23C22×C4×D6111yescharacteristic
1501C23C22×C4×D6111yescharacteristic
1502Q8—41no—
1503Q8—1222no—
1504Q8—1222no—
1505Q8—1222no—
1506Q8—2441no—
1507Q8—2441no—
1508Q8—2441no—
1509Q8—2441no—
1510Q8—2441no—
1511Q8—2441no—
1512D4—22no—
1513D4—22no—
1514D4—41no—
1515D4—1222no—
1516D4—1222no—
1517D4—1222no—
1518D4—2441no—
1519D4—2441no—
1520D4—2441no—
1521D4—2441no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—41no—
1530C2×C4—611no—
1531C2×C4—611no—
1532C2×C4—611no—
1533C2×C4—611no—
1534C2×C4—611no—
1535C2×C4—611no—
1536C2×C4—611no—
1537C2×C4—611no—
1538C2×C4—611no—
1539C2×C4—611no—
1540C2×C4—611no—
1541C2×C4—611no—
1542C2×C4—611no—
1543C2×C4—611no—
1544C2×C4—1222no—
1545C2×C4—1222no—
1546C2×C4—1222no—
1547C2×C4—1222no—
1548C2×C4—1222no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—2441no—
1554C2×C4—2441no—
1555C2×C4—2441no—
1556C2×C4—2441no—
1557C2×C4—2441no—
1558C2×C4—2441no—
1559C2×C4—2441no—
1560C2×C4—2441no—
1561C2×C4—2441no—
1562C2×C4—2441no—
1563C2×C4—2441no—
1564C2×C4C22×C4×D6111yescharacteristic
1565C2×C4C22×C4×D6111yescharacteristic
1566C2×C4C22×C4×D6111yescharacteristic
1567C2×C4C22×C4×D6111yescharacteristic
1568C2×C4C22×C4×D6111yescharacteristic
1569C2×C4C22×C4×D6111yescharacteristic
1570C2×C4C22×C4×D6111yescharacteristic
1571C2×C4C22×C4×D6111yescharacteristic
1572C2×C4C22×C4×D6111yescharacteristic
1573C2×C4C22×C4×D6111yescharacteristic
1574C2×C4C22×C4×D6111yescharacteristic
1575C2×C4C24×D6111yescharacteristic
1576C8—21no—
1577C8—21no—
1578C8—21no—
1579C8—21no—
1580C8—21no—
1581C8—21no—
1582C8—21no—
1583C8—21no—
1584C8—612no—
1585C8—1221no—
1586C8—1221no—
1587C8—1221no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C8—1221no—
1592C22—21no—
1593C22—21no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—1221no—
1601C22—1221no—
1602C22—1221no—
1603C22—1221no—
1604C22—1221no—
1605C22—1221no—
1606C22#1684052712yes—
1607C22C23×C4×D6111yescharacteristic
1608C4—21no—
1609C4—21no—
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—612no—
1620C4—1221no—
1621C4—1221no—
1622C4—1221no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—1221no—
1630C4—1221no—
1631C4—1221no—
1632C4—1221no—
1633C42−1+4×D6111yescharacteristic
1634C4#1684059711yescharacteristic
1635C2—22no—
1636C2—41no—
1637C2—41no—
1638C2—2441no—
1639C2—2441no—
1640C2#2145903011yescharacteristic
1641C2#568×D6111yescharacteristic
1642C2C2×#1684052711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D61
commutator, socleC22×C61C24×C4
FittingC61×#2992C2
prime radical#21459432C2
cosocleC2×C4×C61C25
hypercenter#2992D61
hypocenterC61#60342
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #2992

Complements

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

NH ≅ G/Ntype
2. #21454987C2semidirect
3. #21454985C2semidirect
4. #21454976C2semidirect
5. #21454966C2semidirect
6. #21454959C2semidirect
7. #21454942C2semidirect
8. #21454937C2semidirect
9. #21454931C2semidirect
10. #21454931C2semidirect
11. #21454923C2semidirect
12. #21454922C2semidirect
13. #21454911C2semidirect
14. #21454909C2semidirect
15. #21454901C2semidirect
16. #21454829C2semidirect
17. #21454828C2semidirect
18. #21454827C2semidirect
19. #21454821C2semidirect
20. #21454815C2semidirect
21. #21454807C2semidirect
22. #21454802C2semidirect
23. #21454801C2semidirect
24. #21454789C2semidirect
25. #21454779C2semidirect
26. #21454771C2semidirect
27. #21454765C2semidirect
28. #21454758C2semidirect
29. #21454755C2semidirect
30. C2×#16839891C2semidirect
31. C61×#2992C2semidirect
820. #2992D61semidirect
1024. C61#60342semidirect

Maximal subgroups

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

subgroupindex
#214594322
#214549872
#214549852
#214549762
#214549662
#214549592
#214549422
#214549372
#214549312
#214549232
#214549222
#214549112
#214549092
#214549012
#214548292
#214548282
#214548272
#214548212
#214548152
#214548072
#214548022
#214548012
#214547892
#214547792
#214547712
#214547652
#214547582
#214547552
C2×#168398912
C61×#29922
#6034261