Finite Group Databasebeta

← #30545253

Subgroups — #30545253

Order 15616.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459371C211yesmaximal, characteristic
2#21454989C211yesmaximal, characteristic, complemented
3#21454984C211yesmaximal, characteristic, complemented
4#21454983C211yesmaximal, characteristic, complemented
5#21454983C211yesmaximal, characteristic, complemented
6#21454978C211yesmaximal, characteristic, complemented
7#21454977C211yesmaximal, characteristic, complemented
8#21454961C211yesmaximal, characteristic, complemented
9#21454957C211yesmaximal, characteristic, complemented
10#21454956C211yesmaximal, characteristic, complemented
11#21454953C211yesmaximal, characteristic, complemented
12#21454952C211yesmaximal, characteristic, complemented
13#21454940C211yesmaximal, characteristic, complemented
14#21454939C211yesmaximal, characteristic, complemented
15#21454934C211yesmaximal, characteristic, complemented
16#21454933C211yesmaximal, characteristic, complemented
17#21454761C211yesmaximal, characteristic, complemented
18#21454755C211yesmaximal, characteristic, complemented
19#21454555C211yesmaximal, characteristic, complemented
20#21454548C211yesmaximal, characteristic, complemented
21#21454542C211yesmaximal, characteristic, complemented
22#21454519C211yesmaximal, characteristic, complemented
23#21454508C211yesmaximal, characteristic, complemented
24#435×D61C211yesmaximal, characteristic, complemented
25#21454475C211yesmaximal, characteristic, complemented
26#21454472C211yesmaximal, characteristic, complemented
27#21454467C211yesmaximal, characteristic, complemented
28#21454386C211yesmaximal, characteristic, complemented
29#21454381C211yesmaximal, characteristic, complemented
30#424×D61C211yesmaximal, characteristic, complemented
31C61×#2993C211yesmaximal, characteristic, complemented
32C2×#14519785C2211yescharacteristic
33C2×#14519783C2211yescharacteristic
34C2×M16×D61C2211yescharacteristic
35C2×M16×D61C2211yescharacteristic
36C2×M16×D61C2211yescharacteristic
37C22×C8×D61C2211yescharacteristic
38#16840479C411yescharacteristic
39#16840474C411yescharacteristic
40#16840466C411yescharacteristic
41#16840463C411yescharacteristic
42#16840455C411yescharacteristic
43#16840449C411yescharacteristic
44#16840448C411yescharacteristic
45#16840444C411yescharacteristic
46#16840444C411yescharacteristic
47#16840442C411yescharacteristic
48#16840439C411yescharacteristic
49#16840437C411yescharacteristic
50#16840435C411yescharacteristic
51#16840410C411yescharacteristic
52#16840404C411yescharacteristic
53#16840401C411yescharacteristic
54#16840316C2211yescharacteristic
55#16840299C2211yescharacteristic
56#16840292C2211yescharacteristic
57#16840292C2211yescharacteristic
58#16840290C2211yescharacteristic
59#16840290C2211yescharacteristic
60#16840271C2211yescharacteristic
61#16840271C2211yescharacteristic
62C4×#11758222C2211yescharacteristic
63#16840230C2211yescharacteristic
64C4×#11758224C2211yescharacteristic
65C4×D4×D61C2211yescharacteristic
66C2×#14519734C2211yescharacteristic
67#117×D61C2211yescharacteristic
68#16839893C2211yescharacteristic, complemented
69#16839893C2211yescharacteristic, complemented
70#16839892C2211yescharacteristic, complemented
71#16839892C2211yescharacteristic, complemented
72#16839892C2211yescharacteristic, complemented
73#16839892C2211yescharacteristic, complemented
74#16839891C2211yescharacteristic, complemented
75#16839891C2211yescharacteristic, complemented
76#16839891C2211yescharacteristic, complemented
77#16839891C2211yescharacteristic, complemented
78#16839890C2211yescharacteristic, complemented
79#16839890C2211yescharacteristic, complemented
80#16839889C2211yescharacteristic, complemented
81#16839886C2211yescharacteristic, complemented
82#16839841C2211yescharacteristic, complemented
83#16839840C2211yescharacteristic
84#16839840C2211yescharacteristic, complemented
85#16839838C2211yescharacteristic, complemented
86#16839838C2211yescharacteristic, complemented
87#16839838C2211yescharacteristic, complemented
88#16839837C2211yescharacteristic, complemented
89#16839836C2211yescharacteristic
90#16839836C2211yescharacteristic
91#16839836C2211yescharacteristic
92#16839836C2211yescharacteristic, complemented
93#16839836C2211yescharacteristic, complemented
94#16839836C2211yescharacteristic, complemented
95#16839836C2211yescharacteristic, complemented
96#16839835C2211yescharacteristic
97#16839835C2211yescharacteristic, complemented
98#16839834C2211yescharacteristic
99#16839834C2211yescharacteristic, complemented
100#16839834C2211yescharacteristic, complemented
101#16839834C2211yescharacteristic, complemented
102#16839833C2211yescharacteristic
103#16839832C2211yescharacteristic
104#16839832C2211yescharacteristic, complemented
105#16839832C2211yescharacteristic, complemented
106#16839832C2211yescharacteristic, complemented
107#16839831C2211yescharacteristic
108#16839831C2211yescharacteristic
109#16839831C2211yescharacteristic
110#16839831C2211yescharacteristic, complemented
111#16839831C2211yescharacteristic, complemented
112#16839830C2211yescharacteristic
113#16839830C2211yescharacteristic, complemented
114#16839830C2211yescharacteristic, complemented
115C8×D244C2211yescharacteristic
116C8×D244C2211yescharacteristic, complemented
117C8×D244C2211yescharacteristic, complemented
118#16839827C2211yescharacteristic
119#16839827C2211yescharacteristic, complemented
120C8×C22⋊D61C2211yescharacteristic, complemented
121C8×C22⋊D61C2211yescharacteristic, complemented
122C8×C22⋊D61C2211yescharacteristic, complemented
123#16839825C2211yescharacteristic, complemented
124#16839824C2211yescharacteristic, complemented
125#16839823C2211yescharacteristic, complemented
126#16839823C2211yescharacteristic, complemented
127#16839822C2211yescharacteristic, complemented
128#16839822C2211yescharacteristic, complemented
129#16839821C2211yescharacteristic, complemented
130#16839821C2211yescharacteristic, complemented
131#16839821C2211yescharacteristic, complemented
132#16839820C2211yescharacteristic, complemented
133#16839820C2211yescharacteristic, complemented
134#16839819C2211yescharacteristic, complemented
135#16839818C2211yescharacteristic, complemented
136#16839818C2211yescharacteristic, complemented
137#16839818C2211yescharacteristic, complemented
138#16839817C2211yescharacteristic, complemented
139#16839816C2211yescharacteristic, complemented
140#16839816C2211yescharacteristic, complemented
141#16839816C2211yescharacteristic, complemented
142#16839814C2211yescharacteristic, complemented
143#16839813C2211yescharacteristic, complemented
144#16839812C2211yescharacteristic, complemented
145#16839790C2211yescharacteristic, complemented
146#16839789C2211yescharacteristic, complemented
147#16839789C2211yescharacteristic, complemented
148#16839788C2211yescharacteristic, complemented
149#16839787C2211yescharacteristic
150#16839787C2211yescharacteristic
151#16839787C2211yescharacteristic
152#16839787C2211yescharacteristic
153#16839787C2211yescharacteristic
154#16839787C2211yescharacteristic
155#16839787C2211yescharacteristic
156#16839787C2211yescharacteristic
157#16839787C2211yescharacteristic, complemented
158#16839787C2211yescharacteristic, complemented
159#16839787C2211yescharacteristic, complemented
160#16839787C2211yescharacteristic, complemented
161#16839787C2211yescharacteristic, complemented
162#16839787C2211yescharacteristic, complemented
163#16839786C2211yescharacteristic, complemented
164#16839785C2211yescharacteristic, complemented
165#16839785C2211yescharacteristic, complemented
166#16839785C2211yescharacteristic, complemented
167#16839784C2211yescharacteristic
168#16839784C2211yescharacteristic, complemented
169C2×#14519706C2211yescharacteristic, complemented
170C4⋊C8×D61C2211yescharacteristic
171C4⋊C8×D61C2211yescharacteristic, complemented
172C4⋊C8×D61C2211yescharacteristic, complemented
173C4⋊C8×D61C2211yescharacteristic, complemented
174C4⋊C8×D61C2211yescharacteristic, complemented
175C4⋊C8×D61C2211yescharacteristic, complemented
176#16839727C2211yescharacteristic
177#16839727C2211yescharacteristic
178#16839724C2211yescharacteristic
179#16839724C2211yescharacteristic
180C22⋊C8×D61C2211yescharacteristic
181C22⋊C8×D61C2211yescharacteristic
182#16839719C2211yescharacteristic
183#16839716C2211yescharacteristic
184#16839716C2211yescharacteristic
185#16839716C2211yescharacteristic
186C4×#11758189C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C61×#446C2211yescharacteristic, complemented
190C8×Q8×C61C2211yescharacteristic, complemented
191C61×#436C2211yescharacteristic
192C61×#436C2211yescharacteristic, complemented
193C61×#436C2211yescharacteristic, complemented
194C61×#435C2211yescharacteristic
195C61×#435C2211yescharacteristic, complemented
196C8×D4×C61C2211yescharacteristic, complemented
197C61×#433C2211yescharacteristic, complemented
198C61×#433C2211yescharacteristic, complemented
199C61×#431C2211yescharacteristic, complemented
200C61×#424C2211yescharacteristic, complemented
201C61×#424C2211yescharacteristic, complemented
202C61×#423C2211yescharacteristic, complemented
203C2×#11758222C2×C411yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224C2×C411yescharacteristic
206C2×D4×D61C2×C411yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209#14519785—42no—
210#14519783—42no—
211C2×#11758194C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C2×#11758194C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223M16×D61—42no—
224M16×D61—42no—
225M16×D61—42no—
226C22×#92418C2311yescharacteristic
227C22×#92418C2311yescharacteristic
228C2×C8×D61—42no—
229C2×C8×D61C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233C2×C8×D61C2311yescharacteristic
234C2×C8×D61C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239C2×C8×D61C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519776C2×C411yescharacteristic
242#14519775C2×C411yescharacteristic
243#14519772C2×C411yescharacteristic
244#14519772C2×C411yescharacteristic
245#14519772C2×C411yescharacteristic
246#14519772C2×C411yescharacteristic
247#14519772C2×C411yescharacteristic
248#14519772C2×C411yescharacteristic
249#14519770C2×C411yescharacteristic
250#14519770C2×C411yescharacteristic
251#14519770C2×C411yescharacteristic
252#14519770C2×C411yescharacteristic
253#14519768C2×C411yescharacteristic
254#14519767C2×C411yescharacteristic
255#14519767C2×C411yescharacteristic
256#14519767C2×C411yescharacteristic
257#14519767C2×C411yescharacteristic
258#14519767C2×C411yescharacteristic
259#14519767C2×C411yescharacteristic
260#14519766C2×C411yescharacteristic
261#14519763C2×C411yescharacteristic
262#14519763C2×C411yescharacteristic
263#14519763C2×C411yescharacteristic
264#14519763C2×C411yescharacteristic
265#14519762C2×C411yescharacteristic
266#14519762C2×C411yescharacteristic
267#14519762C2×C411yescharacteristic
268#14519762C2×C411yescharacteristic
269#14519762C2×C411yescharacteristic
270#14519762C2×C411yescharacteristic
271#14519761C2×C411yescharacteristic
272#14519761C2×C411yescharacteristic
273#14519759C2×C411yescharacteristic
274#14519759C2×C411yescharacteristic
275#14519759C2×C411yescharacteristic
276#14519759C2×C411yescharacteristic
277#14519758C2×C411yescharacteristic
278#14519758C2×C411yescharacteristic
279#14519757C2×C411yescharacteristic
280#14519755C2×C411yescharacteristic
281#14519755C2×C411yescharacteristic
282#14519755C2×C411yescharacteristic
283#14519755C2×C411yescharacteristic
284#14519755C2×C411yescharacteristic
285#14519755C2×C411yescharacteristic
286#14519754C2×C411yescharacteristic
287#14519754C2×C411yescharacteristic
288#14519754C2×C411yescharacteristic
289#14519754C2×C411yescharacteristic
290#14519753C2×C411yescharacteristic
291#14519753C2×C411yescharacteristic
292#14519752C2×C411yescharacteristic
293#14519750C2×C411yescharacteristic
294#14519750C2×C411yescharacteristic
295#14519750C2×C411yescharacteristic
296#14519750C2×C411yescharacteristic
297#14519749C2×C411yescharacteristic
298#14519749C2×C411yescharacteristic
299#14519749C2×C411yescharacteristic
300#14519749C2×C411yescharacteristic
301#14519747C2×C411yescharacteristic
302#14519747C2×C411yescharacteristic
303#14519745C2×C411yescharacteristic
304#14519745C2×C411yescharacteristic
305C4×Dic122C2×C411yescharacteristic
306C4×Dic122C2311yescharacteristic
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309#14519742C2×C411yescharacteristic
310#14519742C2×C411yescharacteristic
311#14519742C2×C411yescharacteristic
312C4×D244C2×C411yescharacteristic
313C4×D244C2311yescharacteristic
314C4×D244C2311yescharacteristic
315C4×D244C2311yescharacteristic
316D4×Dic61C2×C411yescharacteristic
317D4×Dic61C2×C411yescharacteristic
318#14519739C2×C411yescharacteristic
319#14519739C2×C411yescharacteristic
320#14519739C2×C411yescharacteristic
321C4×C22⋊D61C2×C411yescharacteristic
322C4×C22⋊D61C2×C411yescharacteristic
323C4×C22⋊D61C2311yescharacteristic
324C4×C22⋊D61C2311yescharacteristic
325C4×C22⋊D61C2311yescharacteristic
326C4×C22⋊D61C2311yescharacteristic
327C4×C22⋊D61C2311yescharacteristic
328C4×C22⋊D61C2311yescharacteristic
329#14519737C2×C411yescharacteristic
330#14519737C2×C411yescharacteristic
331#14519737C2×C411yescharacteristic
332#14519737C2×C411yescharacteristic
333#14519737C2×C411yescharacteristic
334#14519737C2×C411yescharacteristic
335#14519737C2×C411yescharacteristic
336#14519737C2×C411yescharacteristic
337#14519736C2×C411yescharacteristic
338#14519736C2311yescharacteristic
339#14519735C2×C411yescharacteristic
340#14519735C2×C411yescharacteristic
341#14519735C2×C411yescharacteristic
342#14519734C2×C411yescharacteristic
343#14519734C2×C411yescharacteristic
344#14519734C2×C411yescharacteristic
345#14519734C2×C411yescharacteristic
346#14519734C2×C411yescharacteristic
347#14519734C2×C411yescharacteristic
348#14519734C2311yescharacteristic
349#14519734C2311yescharacteristic
350#14519734C2311yescharacteristic
351#14519734C2311yescharacteristic
352#14519734C2311yescharacteristic
353#14519734C2311yescharacteristic
354#14519733C2×C411yescharacteristic
355#14519733C2×C411yescharacteristic
356#14519733C2×C411yescharacteristic
357#14519733C2×C411yescharacteristic
358C2×#11758196C2×C411yescharacteristic
359C2×#11758196C2×C411yescharacteristic
360C4⋊C4×D61C2×C411yescharacteristic
361C4⋊C4×D61C2×C411yescharacteristic
362C4⋊C4×D61C2×C411yescharacteristic
363C2×#11758198C2×C411yescharacteristic
364C2×#11758198C2×C411yescharacteristic
365C22⋊C4×D61C2×C411yescharacteristic
366C22⋊C4×D61C2×C411yescharacteristic
367C22⋊C4×D61C2×C411yescharacteristic
368C22⋊C4×D61C2×C411yescharacteristic
369C2×C4×Dic61C2311yescharacteristic
370C2×C4×Dic61C2311yescharacteristic
371C42×D61C2311yescharacteristic
372C42×D61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375C4⋊#92418C2311yescharacteristic
376C4⋊#92418C2311yescharacteristic
377C4⋊#92418C2311yescharacteristic
378C4⋊#92418C2311yescharacteristic
379C4⋊#92418C2311yescharacteristic
380C4⋊#92418C2311yescharacteristic
381C4⋊#92418C2311yescharacteristic
382C4⋊#92418C2311yescharacteristic
383C4⋊#92418C2311yescharacteristic
384C4⋊#92418C2311yescharacteristic
385#14519706C2311yescharacteristic
386#14519706C2311yescharacteristic
387#14519706C2311yescharacteristic
388#14519706C2311yescharacteristic
389#14519706C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405C22⋊#92418C2311yescharacteristic
406C22⋊#92418C2311yescharacteristic
407C22⋊#92418C2311yescharacteristic
408C22⋊#92418C2311yescharacteristic
409C22⋊#92418C2311yescharacteristic
410C22⋊#92418C2311yescharacteristic
411#14519689C2311yescharacteristic
412#14519689C2311yescharacteristic
413#14519689C2311yescharacteristic
414#14519689C2311yescharacteristic
415#14519689C2311yescharacteristic
416#14519689C2311yescharacteristic
417#14519689C2311yescharacteristic
418#14519689C2311yescharacteristic
419#14519689C2311yescharacteristic
420#14519689C2311yescharacteristic
421#14519689C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519688C2311yescharacteristic
424#14519688C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519687C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434#14519687C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C4×#92418C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C2×M16×C61C2311yescharacteristic
444C2×M16×C61C2311yescharacteristic
445C22×C8×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447#126×C61C2×C411yescharacteristic
448#126×C61C2×C411yescharacteristic
449#125×C61C2×C411yescharacteristic
450#124×C61C2×C411yescharacteristic
451#123×C61C2×C411yescharacteristic
452#123×C61C2×C411yescharacteristic
453C22⋊Q8×C61C2×C411yescharacteristic
454#121×C61C2×C411yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461C2×C42×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472C22⋊C8×C61C2311yescharacteristic
473C22⋊C8×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C4×C8×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61C22×C411yescharacteristic
485C23×D61C22×C411yescharacteristic
486C2×Q8×C61C22×C411yescharacteristic
487C2×D4×C61C22×C411yescharacteristic
488C2×D4×C61C22×C411yescharacteristic
489C2×D4×C61C22×C411yescharacteristic
490C22×C4×C61C22×C411yescharacteristic
491C22×C4×C61C22×C411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61C22×C411yescharacteristic
496C2×C22⋊D61C22×C411yescharacteristic
497C2×C22⋊D61C22×C411yescharacteristic
498C2×C22⋊D61C22×C411yescharacteristic
499C2×C22⋊D61C22×C411yescharacteristic
500C2×C22⋊D61C22×C411yescharacteristic
501C2×C22⋊D61C22×C411yescharacteristic
502C2×C22⋊D61C22×C411yescharacteristic
503C22×Dic61C22×C411yescharacteristic
504C22×Dic61C22×C411yescharacteristic
505C22×Dic61C22×C411yescharacteristic
506C22×Dic61C22×C411yescharacteristic
507C22×Dic61C22×C411yescharacteristic
508C22×Dic61C22×C411yescharacteristic
509#11758224—42no—
510D4×D61—42no—
511#11758222—22no—
512#11758222—22no—
513#11758222—42no—
514C2×D244C22×C411yescharacteristic
515C2×D244C22×C411yescharacteristic
516C2×D244C22×C411yescharacteristic
517C2×D244C22×C411yescharacteristic
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—22no—
522C2×C4×D61C22×C411yescharacteristic
523C2×C4×D61C22×C411yescharacteristic
524C2×C4×D61C22×C411yescharacteristic
525C2×C4×D61C22×C411yescharacteristic
526C2×C4×D61C22×C411yescharacteristic
527C2×C4×D61C22×C411yescharacteristic
528C2×C4×D61C22×C411yescharacteristic
529C2×C4×D61C22×C411yescharacteristic
530C2×C4×D61C22×C411yescharacteristic
531C2×C4×D61C22×C411yescharacteristic
532C2×C4×D61C22×C411yescharacteristic
533C2×C4×D61C22×C411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×C4×D61C2411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×Dic122C22×C411yescharacteristic
539C2×Dic122C22×C411yescharacteristic
540C2×Dic122C22×C411yescharacteristic
541C2×Dic122C22×C411yescharacteristic
542M16×C61—41no—
543M16×C61—41no—
544M16×C61—41no—
545M16×C61—41no—
546C2×C8×C61—41no—
547C2×C8×C61—41no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C4⋊C4×C61C22×C411yescharacteristic
557C4⋊C4×C61C22×C411yescharacteristic
558C4⋊C4×C61C22×C411yescharacteristic
559C4⋊C4×C61C22×C411yescharacteristic
560C4⋊C4×C61C22×C411yescharacteristic
561C4⋊C4×C61C22×C411yescharacteristic
562C4⋊C4×C61C22×C411yescharacteristic
563C4⋊C4×C61C22×C411yescharacteristic
564C4⋊C4×C61C22×C411yescharacteristic
565C4⋊C4×C61C22×C411yescharacteristic
566C22⋊C4×C61C22×C411yescharacteristic
567C22⋊C4×C61C22×C411yescharacteristic
568C22⋊C4×C61C22×C411yescharacteristic
569C22⋊C4×C61C22×C411yescharacteristic
570C22⋊C4×C61C22×C411yescharacteristic
571C22⋊C4×C61C22×C411yescharacteristic
572C22⋊C4×C61C22×C411yescharacteristic
573C22⋊C4×C61C22×C411yescharacteristic
574C22⋊C4×C61C22×C411yescharacteristic
575C22⋊C4×C61C22×C411yescharacteristic
576C42×C61C22×C411yescharacteristic
577C42×C61C22×C411yescharacteristic
578C42×C61C2411yescharacteristic
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
581C42×C61C2411yescharacteristic
582C22⋊Dic61C22×C411yescharacteristic
583C22⋊Dic61C22×C411yescharacteristic
584C22⋊Dic61C22×C411yescharacteristic
585C22⋊Dic61C22×C411yescharacteristic
586C22⋊Dic61C22×C411yescharacteristic
587C22⋊Dic61C22×C411yescharacteristic
588C22⋊Dic61C22×C411yescharacteristic
589C22⋊Dic61C22×C411yescharacteristic
590#11758198C22×C411yescharacteristic
591#11758198C22×C411yescharacteristic
592#11758198C22×C411yescharacteristic
593#11758198C22×C411yescharacteristic
594#11758198C22×C411yescharacteristic
595#11758198C22×C411yescharacteristic
596#11758198C22×C411yescharacteristic
597#11758198C22×C411yescharacteristic
598#11758198C22×C411yescharacteristic
599#11758198C22×C411yescharacteristic
600#11758198C22×C411yescharacteristic
601#11758198C22×C411yescharacteristic
602#11758198C22×C411yescharacteristic
603#11758198C22×C411yescharacteristic
604#11758198C22×C411yescharacteristic
605#11758198C22×C411yescharacteristic
606#11758198C22×C411yescharacteristic
607#11758198C22×C411yescharacteristic
608#11758198C22×C411yescharacteristic
609#11758198C22×C411yescharacteristic
610#11758198C22×C411yescharacteristic
611#11758198C22×C411yescharacteristic
612#11758198C22×C411yescharacteristic
613#11758198C22×C411yescharacteristic
614C4⋊Dic61C22×C411yescharacteristic
615C4⋊Dic61C22×C411yescharacteristic
616C4⋊Dic61C22×C411yescharacteristic
617C4⋊Dic61C22×C411yescharacteristic
618C4⋊Dic61C22×C411yescharacteristic
619C4⋊Dic61C22×C411yescharacteristic
620C4⋊Dic61C22×C411yescharacteristic
621C4⋊Dic61C22×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
631#11758196C22×C411yescharacteristic
632#11758196C22×C411yescharacteristic
633#11758196C22×C411yescharacteristic
634#11758196C22×C411yescharacteristic
635#11758196C22×C411yescharacteristic
636#11758196C22×C411yescharacteristic
637#11758196C22×C411yescharacteristic
638#11758196C22×C411yescharacteristic
639#11758196C22×C411yescharacteristic
640#11758196C22×C411yescharacteristic
641#11758196C22×C411yescharacteristic
642#11758196C22×C411yescharacteristic
643#11758196C22×C411yescharacteristic
644#11758196C22×C411yescharacteristic
645#11758196C22×C411yescharacteristic
646C4×Dic61C22×C411yescharacteristic
647C4×Dic61C22×C411yescharacteristic
648C4×Dic61C22×C411yescharacteristic
649C4×Dic61C22×C411yescharacteristic
650C4×Dic61C22×C411yescharacteristic
651C4×Dic61C22×C411yescharacteristic
652C4×Dic61C22×C411yescharacteristic
653C4×Dic61C22×C411yescharacteristic
654C4×Dic61C22×C411yescharacteristic
655C4×Dic61C22×C411yescharacteristic
656C4×Dic61C22×C411yescharacteristic
657C4×Dic61C22×C411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662#11758194—41no—
663#11758194—41no—
664#11758194—41no—
665#11758194—41no—
666C2×#92418—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676#11758189—22no—
677#11758189—22no—
678#11758189—22no—
679#11758189—22no—
680#11758189—41no—
681#11758189—41no—
682#11758189—41no—
683#11758189—41no—
684C8×D61—22no—
685C8×D61—22no—
686C8×D61—22no—
687C8×D61—22no—
688C8×D61—41no—
689C8×D61—41no—
690C8×D61—41no—
691C8×D61—41no—
692C8×D61—41no—
693C8×D61—41no—
694C8×D61—41no—
695C8×D61—41no—
696C23×C61C23×C411yescharacteristic
697C23×C61C23×C411yescharacteristic
698C23×C61C23×C411yescharacteristic
699C22×D61—22no—
700C22×D61—22no—
701C22×D61—22no—
702C22×D61—41no—
703C22×D61—41no—
704C22×D61—41no—
705C22×D61C23×C411yescharacteristic
706C22×D61C23×C411yescharacteristic
707C22×D61C23×C411yescharacteristic
708C22×D61C23×C411yescharacteristic
709Q8×C61—41no—
710D4×C61—41no—
711D4×C61—41no—
712D4×C61—41no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—41no—
720C2×C4×C61—41no—
721C2×C4×C61C23×C411yescharacteristic
722C2×C4×C61C23×C411yescharacteristic
723C2×C4×C61C23×C411yescharacteristic
724C2×C4×C61C23×C411yescharacteristic
725C2×C4×C61C23×C411yescharacteristic
726C2×C4×C61C23×C411yescharacteristic
727C2×C4×C61C23×C411yescharacteristic
728C2×C4×C61C23×C411yescharacteristic
729C2×C4×C61C23×C411yescharacteristic
730C2×C4×C61C23×C411yescharacteristic
731C2×C4×C61C23×C411yescharacteristic
732C2×C4×C61C2511yescharacteristic
733C22⋊D61—22no—
734C22⋊D61—22no—
735C22⋊D61—22no—
736C22⋊D61—22no—
737C22⋊D61—41no—
738C22⋊D61—41no—
739C22⋊D61—41no—
740C22⋊D61—41no—
741C2×Dic61—22no—
742C2×Dic61—22no—
743C2×Dic61—41no—
744C2×Dic61—41no—
745C2×Dic61—41no—
746C2×Dic61—41no—
747C2×Dic61C23×C411yescharacteristic
748C2×Dic61C23×C411yescharacteristic
749C2×Dic61C23×C411yescharacteristic
750C2×Dic61C23×C411yescharacteristic
751C2×Dic61C23×C411yescharacteristic
752C2×Dic61C23×C411yescharacteristic
753C2×Dic61C23×C411yescharacteristic
754C2×Dic61C23×C411yescharacteristic
755C2×Dic61C23×C411yescharacteristic
756C2×Dic61C23×C411yescharacteristic
757C2×Dic61C23×C411yescharacteristic
758C2×Dic61C23×C411yescharacteristic
759D244—22no—
760D244—22no—
761D244—22no—
762D244—41no—
763C4×D61—22no—
764C4×D61—22no—
765C4×D61—22no—
766C4×D61—22no—
767C4×D61—21no—
768C4×D61—21no—
769C4×D61—21no—
770C4×D61—21no—
771C4×D61—21no—
772C4×D61—21no—
773C4×D61—22no—
774C4×D61—22no—
775C4×D61—41no—
776C4×D61—41no—
777C4×D61—41no—
778C4×D61—41no—
779C4×D61—41no—
780C4×D61—41no—
781C4×D61H(5,𝔽2)12yes—
782C4×D612−1+412yes—
783Dic122—22no—
784Dic122—41no—
785Dic122—41no—
786Dic122—41no—
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61—21no—
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795#92418—21no—
796#92418—21no—
797#92418—21no—
798#92418—21no—
799#92418—21no—
800#92418—21no—
801#92418—21no—
802#92418—21no—
803#60272—611nomaximal, Sylow
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—21no—
811C22×C61—21no—
812C22×C61—21no—
813C22×C61C24×C411yescharacteristic
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—44no—
825C2×D61—82no—
826C2×D61#52012yes—
827C2×D61#56812yes—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—21no—
833C4×C61—21no—
834C4×C61—21no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61C2×H(5,𝔽2)11yescharacteristic
840C4×C61C2×2−1+411yescharacteristic
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—21no—
846Dic61—21no—
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61#52012yes—
853#3475—611no—
854#2995—611no—
855#2995—611no—
856#2995—611no—
857#2995—611no—
858#2994—611no—
859#2994—611no—
860#2993—611no—
861#2993D6111yescharacteristic, complemented
862#2992—611no—
863#2992—611no—
864#2992—611no—
865#2992—611no—
866#2990—611no—
867#2990—611no—
868#2989—611no—
869#2989—611no—
870#2962—611no—
871#2961—611no—
872D4×M16—611no—
873#2933—611no—
874#2933—611no—
875#2930—611no—
876#2929—611no—
877C2×#435—611no—
878#2924—611no—
879#2924—611no—
880#2923—611no—
881#2906—611no—
882#2905—611no—
883C2×#424—611no—
884C2×C61—41no—
885C2×C61—41no—
886C2×C61—41no—
887C2×C61C2×#52011yescharacteristic
888C2×C61C2×#56811yescharacteristic
889C2×C61#357311yescharacteristic
890D61—22no—
891D61—22no—
892D61—41no—
893D61—41no—
894C2×#131—611no—
895C2×#131—611no—
896C22×M16—611no—
897C22×M16—611no—
898C22×M16—611no—
899C23×C8—611no—
900#556—611no—
901#555—611no—
902#554—611no—
903#553—611no—
904#553—611no—
905#552—611no—
906#552—611no—
907#552—611no—
908#552—611no—
909#551—611no—
910#551—611no—
911#551—611no—
912#551—611no—
913#547—611no—
914#546—611no—
915#546—611no—
916#533—611no—
917#529—611no—
918#529—611no—
919#529—611no—
920#529—611no—
921#529—611no—
922#529C2×D6111yescharacteristic
923#525—611no—
924#525—611no—
925C4×#41—611no—
926C4×#41—611no—
927C4×#41—611no—
928C2×C4×D4—611no—
929C2×#117—611no—
930C2×#117—611no—
931#446—611no—
932#446—611no—
933#446—611no—
934#446—611no—
935#446—611no—
936#446—611no—
937#446—611no—
938#446—611no—
939#446—611no—
940#446—611no—
941#446—611no—
942#446—611no—
943#446—611no—
944#446C2×D6111yescharacteristic, complemented
945C8×Q8—611no—
946C8×Q8C2×D6111yescharacteristic, complemented
947#436—611no—
948#436—611no—
949#436—611no—
950#436—611no—
951#436—611no—
952#436—611no—
953#436—611no—
954#436C2×D6111yescharacteristic
955#436C2×D6111yescharacteristic, complemented
956#436C2×D6111yescharacteristic, complemented
957#435—611no—
958#435—611no—
959#435—611no—
960#435—611no—
961#435—611no—
962#435—611no—
963#435—611no—
964#435—611no—
965#435—611no—
966#435—611no—
967#435—611no—
968#435—611no—
969#435—611no—
970#435—611no—
971#435—611no—
972#435—611no—
973#435—611no—
974#435—611no—
975#435—611no—
976#435—611no—
977#435—611no—
978#435—611no—
979#435—611no—
980#435—611no—
981#435—611no—
982#435—611no—
983#435C2×D6111yescharacteristic
984#435C2×D6111yescharacteristic, complemented
985C8×D4—611no—
986C8×D4—611no—
987C8×D4—611no—
988C8×D4—611no—
989C8×D4—611no—
990C8×D4—611no—
991C8×D4—611no—
992C8×D4—611no—
993C8×D4—611no—
994C8×D4C2×D6111yescharacteristic, complemented
995#433—611no—
996#433—611no—
997#433—611no—
998#433—611no—
999#433—611no—
1000#433—611no—
1001#433—611no—
1002#433—611no—
1003#433—611no—
1004#433—611no—
1005#433C2×D6111yescharacteristic, complemented
1006#433C2×D6111yescharacteristic, complemented
1007#432—611no—
1008#432—611no—
1009#432—611no—
1010#432—611no—
1011#432—611no—
1012#432—611no—
1013#432—611no—
1014#432—611no—
1015#431—611no—
1016#431—611no—
1017#431—611no—
1018#431C2×D6111yescharacteristic, complemented
1019#424—611no—
1020#424—611no—
1021#424—611no—
1022#424—611no—
1023#424—611no—
1024#424—611no—
1025#424—611no—
1026#424—611no—
1027#424—611no—
1028#424—611no—
1029#424—611no—
1030#424—611no—
1031#424—611no—
1032#424—611no—
1033#424—611no—
1034#424—611no—
1035#424—611no—
1036#424—611no—
1037#424C2×D6111yescharacteristic, complemented
1038#424C2×D6111yescharacteristic, complemented
1039#423—611no—
1040#423—611no—
1041#423—611no—
1042#423—611no—
1043#423—611no—
1044#423—611no—
1045#423C2×D6111yescharacteristic, complemented
1046C2×C4⋊C8—611no—
1047C2×C4⋊C8—611no—
1048C2×C4⋊C8—611no—
1049C2×C4⋊C8—611no—
1050C2×C4⋊C8—611no—
1051C2×C4⋊C8—611no—
1052C2×C4⋊C8—611no—
1053#408—611no—
1054#408—611no—
1055#407—611no—
1056#407—611no—
1057C2×C22⋊C8—611no—
1058C2×C22⋊C8—611no—
1059#405—611no—
1060#405—611no—
1061#405—611no—
1062#405—611no—
1063C4×M16—611no—
1064C2×#97—611no—
1065C61#6027211yescharacteristic, complemented, Sylow
1066C2×#41—611no—
1067C2×#41—611no—
1068C2×#41—611no—
1069C22×D4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072#131—2442no—
1073#131—2442no—
1074C2×M16—611no—
1075C2×M16—611no—
1076C2×M16—611no—
1077C2×M16—611no—
1078C2×M16—611no—
1079C2×M16—611no—
1080C2×M16—611no—
1081C2×M16—611no—
1082C2×M16—611no—
1083C2×M16—611no—
1084C2×M16—611no—
1085C2×M16—611no—
1086C2×M16—2442no—
1087C2×M16—2442no—
1088C2×M16—2442no—
1089C2×M16C22×D6111yescharacteristic
1090C2×M16C22×D6111yescharacteristic
1091C2×M16C22×D6111yescharacteristic
1092C2×M16C22×D6111yescharacteristic
1093C22×C8—611no—
1094C22×C8—611no—
1095C22×C8—611no—
1096C22×C8—611no—
1097C22×C8—611no—
1098C22×C8—611no—
1099C22×C8—611no—
1100C22×C8—611no—
1101C22×C8—611no—
1102C22×C8—611no—
1103C22×C8—611no—
1104C22×C8—611no—
1105C22×C8—611no—
1106C22×C8—611no—
1107C22×C8—2442no—
1108C22×C8C22×D6111yescharacteristic
1109C22×C8C22×D6111yescharacteristic
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112#126—611no—
1113#126—611no—
1114#126—611no—
1115#126—611no—
1116#126—611no—
1117#126—611no—
1118#126—611no—
1119#126—611no—
1120#126—611no—
1121#126—611no—
1122#126C4×D6111yescharacteristic
1123#126C4×D6111yescharacteristic
1124#125—611no—
1125#125—611no—
1126#125—611no—
1127#125—611no—
1128#125—611no—
1129#125—611no—
1130#125—611no—
1131#125C4×D6111yescharacteristic
1132#124—611no—
1133#124—611no—
1134#124—611no—
1135#124—611no—
1136#124—611no—
1137#124C4×D6111yescharacteristic
1138#123—611no—
1139#123—611no—
1140#123—611no—
1141#123—611no—
1142#123—611no—
1143#123—611no—
1144#123—611no—
1145#123—611no—
1146#123—611no—
1147#123—611no—
1148#123—611no—
1149#123—611no—
1150#123—611no—
1151#123—611no—
1152#123C4×D6111yescharacteristic
1153#123C4×D6111yescharacteristic
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—611no—
1157C22⋊Q8—611no—
1158C22⋊Q8—611no—
1159C22⋊Q8—611no—
1160C22⋊Q8—611no—
1161C22⋊Q8—611no—
1162C22⋊Q8—611no—
1163C22⋊Q8—611no—
1164C22⋊Q8—611no—
1165C22⋊Q8—611no—
1166C22⋊Q8—611no—
1167C22⋊Q8C4×D6111yescharacteristic
1168#121—611no—
1169#121—611no—
1170#121—611no—
1171#121—611no—
1172#121—611no—
1173#121—611no—
1174#121—611no—
1175#121—611no—
1176#121—611no—
1177#121C4×D6111yescharacteristic
1178#120—611no—
1179#120—611no—
1180#120—611no—
1181#120—611no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8C22×D6111yescharacteristic
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4C22×D6111yescharacteristic
1216C4×D4C22×D6111yescharacteristic
1217C4×D4C22×D6111yescharacteristic
1218#117—611no—
1219#117—611no—
1220#117—611no—
1221#117—611no—
1222#117—611no—
1223#117—611no—
1224#117—611no—
1225#117—611no—
1226#117—611no—
1227#117—611no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—611no—
1238#117—611no—
1239#117C22×D6111yescharacteristic
1240#117C22×D6111yescharacteristic
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C42—611no—
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—611no—
1256C2×C42—611no—
1257C2×C42—611no—
1258C2×C42C22×D6111yescharacteristic
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8C22×D6111yescharacteristic
1290C4⋊C8C22×D6111yescharacteristic
1291C4⋊C8C22×D6111yescharacteristic
1292C4⋊C8C22×D6111yescharacteristic
1293C4⋊C8C22×D6111yescharacteristic
1294C4⋊C8C22×D6111yescharacteristic
1295C4⋊C8C22×D6111yescharacteristic
1296C4⋊C8C22×D6111yescharacteristic
1297C4⋊C8C22×D6111yescharacteristic
1298C4⋊C8C22×D6111yescharacteristic
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8—611no—
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319C22⋊C8C22×D6111yescharacteristic
1320C22⋊C8C22×D6111yescharacteristic
1321C22⋊C8C22×D6111yescharacteristic
1322C22⋊C8C22×D6111yescharacteristic
1323#97—611no—
1324#97—611no—
1325#97—611no—
1326#97—611no—
1327#97—611no—
1328#97—611no—
1329#97—611no—
1330#97—611no—
1331#97—611no—
1332#97—611no—
1333#97—611no—
1334#97—611no—
1335#97C22×D6111yescharacteristic
1336#97C22×D6111yescharacteristic
1337C4×C8—611no—
1338C4×C8—611no—
1339C4×C8—611no—
1340C4×C8—611no—
1341C4×C8—611no—
1342C4×C8—611no—
1343C4×C8C22×D6111yescharacteristic
1344C4×C8C22×D6111yescharacteristic
1345C4×C8C22×D6111yescharacteristic
1346C4×C8C22×D6111yescharacteristic
1347C24—611no—
1348C24—611no—
1349#41—1222no—
1350#41—1222no—
1351#41—2442no—
1352#41—2442no—
1353C2×Q8—611no—
1354C2×Q8—611no—
1355C2×Q8—611no—
1356C2×Q8—611no—
1357C2×Q8C2×C4×D6111yescharacteristic
1358C2×D4—611no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—611no—
1362C2×D4—611no—
1363C2×D4—611no—
1364C2×D4—611no—
1365C2×D4—611no—
1366C2×D4—611no—
1367C2×D4—611no—
1368C2×D4—611no—
1369C2×D4—611no—
1370C2×D4—2442no—
1371C2×D4C2×C4×D6111yescharacteristic
1372C2×D4C2×C4×D6111yescharacteristic
1373C2×D4C2×C4×D6111yescharacteristic
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
1380C22×C4—611no—
1381C22×C4—611no—
1382C22×C4—611no—
1383C22×C4—611no—
1384C22×C4—611no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—1222no—
1397C22×C4—1222no—
1398C22×C4—1222no—
1399C22×C4—1222no—
1400C22×C4C2×C4×D6111yescharacteristic
1401C22×C4C2×C4×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405M16—41no—
1406M16—41no—
1407M16—41no—
1408M16—41no—
1409M16—1222no—
1410M16—1222no—
1411M16—1222no—
1412M16—1222no—
1413M16—2441no—
1414M16—2441no—
1415M16—2441no—
1416M16—2441no—
1417M16—2441no—
1418M16—2441no—
1419M16—2441no—
1420M16—2441no—
1421C2×C8—41no—
1422C2×C8—41no—
1423C2×C8—611no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—611no—
1428C2×C8—611no—
1429C2×C8—611no—
1430C2×C8—611no—
1431C2×C8—1222no—
1432C2×C8—1222no—
1433C2×C8—1222no—
1434C2×C8—1222no—
1435C2×C8—2441no—
1436C2×C8—2441no—
1437C2×C8—2441no—
1438C2×C8—2441no—
1439C2×C8—2441no—
1440C2×C8—2441no—
1441C2×C8—2441no—
1442C2×C8—2441no—
1443C2×C8—2441no—
1444C2×C8—2441no—
1445C2×C8C23×D6111yescharacteristic
1446C2×C8C23×D6111yescharacteristic
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C2×C8C23×D6111yescharacteristic
1452C2×C8C23×D6111yescharacteristic
1453C4⋊C4—611no—
1454C4⋊C4—611no—
1455C4⋊C4—611no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—611no—
1484C4⋊C4—611no—
1485C4⋊C4C2×C4×D6111yescharacteristic
1486C4⋊C4C2×C4×D6111yescharacteristic
1487C4⋊C4C2×C4×D6111yescharacteristic
1488C4⋊C4C2×C4×D6111yescharacteristic
1489C4⋊C4C2×C4×D6111yescharacteristic
1490C4⋊C4C2×C4×D6111yescharacteristic
1491C4⋊C4C2×C4×D6111yescharacteristic
1492C4⋊C4C2×C4×D6111yescharacteristic
1493C4⋊C4C2×C4×D6111yescharacteristic
1494C4⋊C4C2×C4×D6111yescharacteristic
1495C22⋊C4—611no—
1496C22⋊C4—611no—
1497C22⋊C4—611no—
1498C22⋊C4—611no—
1499C22⋊C4—611no—
1500C22⋊C4—611no—
1501C22⋊C4—611no—
1502C22⋊C4—611no—
1503C22⋊C4—611no—
1504C22⋊C4—611no—
1505C22⋊C4—611no—
1506C22⋊C4—611no—
1507C22⋊C4—611no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—611no—
1527C22⋊C4C2×C4×D6111yescharacteristic
1528C22⋊C4C2×C4×D6111yescharacteristic
1529C22⋊C4C2×C4×D6111yescharacteristic
1530C22⋊C4C2×C4×D6111yescharacteristic
1531C22⋊C4C2×C4×D6111yescharacteristic
1532C22⋊C4C2×C4×D6111yescharacteristic
1533C22⋊C4C2×C4×D6111yescharacteristic
1534C22⋊C4C2×C4×D6111yescharacteristic
1535C22⋊C4C2×C4×D6111yescharacteristic
1536C22⋊C4C2×C4×D6111yescharacteristic
1537C42—611no—
1538C42—611no—
1539C42—611no—
1540C42—611no—
1541C42—611no—
1542C42—611no—
1543C42—611no—
1544C42—611no—
1545C42—611no—
1546C42—611no—
1547C42—611no—
1548C42—611no—
1549C42—611no—
1550C42—611no—
1551C42—611no—
1552C42—611no—
1553C42C2×C4×D6111yescharacteristic
1554C42C2×C4×D6111yescharacteristic
1555C42C23×D6111yescharacteristic
1556C42C23×D6111yescharacteristic
1557C42C23×D6111yescharacteristic
1558C42C23×D6111yescharacteristic
1559C23—611no—
1560C23—611no—
1561C23—611no—
1562C23—611no—
1563C23—1222no—
1564C23—1222no—
1565C23—1222no—
1566C23—2441no—
1567C23—2441no—
1568C23—2441no—
1569C23C22×C4×D6111yescharacteristic
1570C23C22×C4×D6111yescharacteristic
1571C23C22×C4×D6111yescharacteristic
1572Q8—41no—
1573Q8—1222no—
1574Q8—2441no—
1575Q8—2441no—
1576Q8—2441no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—1222no—
1581D4—1222no—
1582D4—1222no—
1583D4—1222no—
1584D4—1222no—
1585D4—1222no—
1586D4—1222no—
1587D4—2441no—
1588D4—2441no—
1589D4—2441no—
1590D4—2441no—
1591D4—2441no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—611no—
1601C2×C4—612no—
1602C2×C4—612no—
1603C2×C4—611no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—611no—
1607C2×C4—611no—
1608C2×C4—611no—
1609C2×C4—611no—
1610C2×C4—611no—
1611C2×C4—611no—
1612C2×C4—611no—
1613C2×C4—611no—
1614C2×C4—1222no—
1615C2×C4—1222no—
1616C2×C4—1222no—
1617C2×C4—1222no—
1618C2×C4—1222no—
1619C2×C4—1222no—
1620C2×C4—1222no—
1621C2×C4—1222no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—2441no—
1629C2×C4—2441no—
1630C2×C4—2441no—
1631C2×C4—2441no—
1632C2×C4—2441no—
1633C2×C4—2441no—
1634C2×C4—2441no—
1635C2×C4—2441no—
1636C2×C4—2441no—
1637C2×C4—2441no—
1638C2×C4C22×C4×D6111yescharacteristic
1639C2×C4C22×C4×D6111yescharacteristic
1640C2×C4C22×C4×D6111yescharacteristic
1641C2×C4C22×C4×D6111yescharacteristic
1642C2×C4C22×C4×D6111yescharacteristic
1643C2×C4C22×C4×D6111yescharacteristic
1644C2×C4C22×C4×D6111yescharacteristic
1645C2×C4C22×C4×D6111yescharacteristic
1646C2×C4C22×C4×D6111yescharacteristic
1647C2×C4C22×C4×D6111yescharacteristic
1648C2×C4C22×C4×D6111yescharacteristic
1649C2×C4C24×D6111yescharacteristic
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—1221no—
1659C8—1221no—
1660C8—1221no—
1661C8—1221no—
1662C8—1221no—
1663C8—1221no—
1664C8—1221no—
1665C8—1221no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—612no—
1676C22—612no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—1221no—
1681C22—1221no—
1682C22—1221no—
1683C22—1221no—
1684C22—1221no—
1685C22—1221no—
1686C22—1221no—
1687C22—4882no—
1688C22—2444no—
1689C22C23×C4×D6111yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—612no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—1221no—
1706C4—1221no—
1707C4—1221no—
1708C4—1221no—
1709C4—1221no—
1710C4—1221no—
1711C4—1221no—
1712C4—1221no—
1713C4H(5,𝔽2)×D6111yescharacteristic
1714C42−1+4×D6111yescharacteristic
1715C2—41no—
1716C2—41no—
1717C2—41no—
1718C2—1222no—
1719C2—1222no—
1720C2—2441no—
1721C2—2441no—
1722C2#520×D6111yescharacteristic
1723C2#568×D6111yescharacteristic
1724C2#2146053011yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D61
commutator, socleC22×C61C24×C4
FittingC61×#2993C2
prime radical#21459371C2
cosocleC2×C4×C61C25
hypercenter#2993D61
hypocenterC61#60272
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #2993

Complements

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

NH ≅ G/Ntype
2. #21454989C2semidirect
3. #21454984C2semidirect
4. #21454983C2semidirect
5. #21454983C2semidirect
6. #21454978C2semidirect
7. #21454977C2semidirect
8. #21454961C2semidirect
9. #21454957C2semidirect
10. #21454956C2semidirect
11. #21454953C2semidirect
12. #21454952C2semidirect
13. #21454940C2semidirect
14. #21454939C2semidirect
15. #21454934C2semidirect
16. #21454933C2semidirect
17. #21454761C2semidirect
18. #21454755C2semidirect
19. #21454555C2semidirect
20. #21454548C2semidirect
21. #21454542C2semidirect
22. #21454519C2semidirect
23. #21454508C2semidirect
24. #435×D61C2semidirect
25. #21454475C2semidirect
26. #21454472C2semidirect
27. #21454467C2semidirect
28. #21454386C2semidirect
29. #21454381C2semidirect
30. #424×D61C2semidirect
31. C61×#2993C2semidirect
68. #16839893C22semidirect
69. #16839893C22semidirect
70. #16839892C22semidirect
71. #16839892C22semidirect
72. #16839892C22semidirect
73. #16839892C22semidirect
74. #16839891C22semidirect
75. #16839891C22semidirect
76. #16839891C22semidirect
77. #16839891C22semidirect
78. #16839890C22semidirect
79. #16839890C22semidirect
80. #16839889C22semidirect
81. #16839886C22semidirect
82. #16839841C22semidirect
84. #16839840C22semidirect
85. #16839838C22semidirect
86. #16839838C22semidirect
87. #16839838C22semidirect
88. #16839837C22semidirect
92. #16839836C22semidirect
93. #16839836C22semidirect
94. #16839836C22semidirect
95. #16839836C22semidirect
97. #16839835C22semidirect
99. #16839834C22semidirect
100. #16839834C22semidirect
101. #16839834C22semidirect
104. #16839832C22semidirect
105. #16839832C22semidirect
106. #16839832C22semidirect
110. #16839831C22semidirect
111. #16839831C22semidirect
113. #16839830C22semidirect
114. #16839830C22semidirect
116. C8×D244C22semidirect
117. C8×D244C22semidirect
119. #16839827C22semidirect
120. C8×C22⋊D61C22semidirect
121. C8×C22⋊D61C22semidirect
122. C8×C22⋊D61C22semidirect
123. #16839825C22semidirect
124. #16839824C22semidirect
125. #16839823C22semidirect
126. #16839823C22semidirect
127. #16839822C22semidirect
128. #16839822C22semidirect
129. #16839821C22semidirect
130. #16839821C22semidirect
131. #16839821C22semidirect
132. #16839820C22semidirect
133. #16839820C22semidirect
134. #16839819C22semidirect
135. #16839818C22semidirect
136. #16839818C22semidirect
137. #16839818C22semidirect
138. #16839817C22semidirect
139. #16839816C22semidirect
140. #16839816C22semidirect
141. #16839816C22semidirect
142. #16839814C22semidirect
143. #16839813C22semidirect
144. #16839812C22semidirect
145. #16839790C22semidirect
146. #16839789C22semidirect
147. #16839789C22semidirect
148. #16839788C22semidirect
157. #16839787C22semidirect
158. #16839787C22semidirect
159. #16839787C22semidirect
160. #16839787C22semidirect
161. #16839787C22semidirect
162. #16839787C22semidirect
163. #16839786C22semidirect
164. #16839785C22semidirect
165. #16839785C22semidirect
166. #16839785C22semidirect
168. #16839784C22semidirect
169. C2×#14519706C22semidirect
171. C4⋊C8×D61C22semidirect
172. C4⋊C8×D61C22semidirect
173. C4⋊C8×D61C22semidirect
174. C4⋊C8×D61C22semidirect
175. C4⋊C8×D61C22semidirect
189. C61×#446C22semidirect
190. C8×Q8×C61C22semidirect
192. C61×#436C22semidirect
193. C61×#436C22semidirect
195. C61×#435C22semidirect
196. C8×D4×C61C22semidirect
197. C61×#433C22semidirect
198. C61×#433C22semidirect
199. C61×#431C22semidirect
200. C61×#424C22semidirect
201. C61×#424C22semidirect
202. C61×#423C22semidirect
861. #2993D61semidirect
944. #446C2×D61semidirect
946. C8×Q8C2×D61semidirect
955. #436C2×D61semidirect
956. #436C2×D61semidirect
984. #435C2×D61semidirect
994. C8×D4C2×D61semidirect
1005. #433C2×D61semidirect
1006. #433C2×D61semidirect
1018. #431C2×D61semidirect
1037. #424C2×D61semidirect
1038. #424C2×D61semidirect
1045. #423C2×D61semidirect
1065. C61#60272semidirect

Maximal subgroups

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

subgroupindex
#214593712
#214549892
#214549842
#214549832
#214549782
#214549772
#214549612
#214549572
#214549562
#214549532
#214549522
#214549402
#214549392
#214549342
#214549332
#214547612
#214547552
#214545552
#214545482
#214545422
#214545192
#214545082
#435×D612
#214544752
#214544722
#214544672
#214543862
#214543812
#424×D612
C61×#29932
#6027261