Finite Group Databasebeta

← #29852688

Subgroups — #29852688

Order 15616.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840344C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D61C211yesmaximal, characteristic, complemented
3#21454132C211yesmaximal, characteristic, complemented
4#21454116C211yesmaximal, characteristic, complemented
5#21454111C211yesmaximal, characteristic, complemented
6#21451720C211yesmaximal, characteristic, complemented
7#21451704C211yesmaximal, characteristic, complemented
8#21451675C211yesmaximal, characteristic, complemented
9#21451660C211yesmaximal, characteristic, complemented
10#21450087C211yesmaximal, characteristic, complemented
11#21449944C211yesmaximal, characteristic, complemented
12#21449877C211yesmaximal, characteristic, complemented
13#21449755C211yesmaximal, characteristic, complemented
14#21449716C211yesmaximal, characteristic, complemented
15#21449715C211yesmaximal, characteristic, complemented
16#21449650C211yesmaximal, characteristic, complemented
17#21449566C211yesmaximal, characteristic, complemented
18#21449550C211yesmaximal, characteristic, complemented
19#21449487C211yesmaximal, characteristic, complemented
20#21449359C211yesmaximal, characteristic, complemented
21#21449352C211yesmaximal, characteristic, complemented
22#21449280C211yesmaximal, characteristic, complemented
23#21449190C211yesmaximal, characteristic, complemented
24#21449189C211yesmaximal, characteristic, complemented
25#21449130C211yesmaximal, characteristic, complemented
26#21448521C211yesmaximal, characteristic, complemented
27#21448475C211yesmaximal, characteristic, complemented
28#21448454C211yesmaximal, characteristic, complemented
29#21448324C211yesmaximal, characteristic, complemented
30#386×D61C211yesmaximal, characteristic, complemented
31C61×#2847C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840344—28no—
36C2×#14519772C2211yescharacteristic, complemented
37C2×#14519770C2211yescharacteristic, complemented
38C2×#14519764C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic, complemented
40C2×#14519760C2211yescharacteristic, complemented
41C2×#14519760C2211yescharacteristic, complemented
42C2×#14519758C2211yescharacteristic, complemented
43C2×#14519755C2211yescharacteristic, complemented
44C2×#14519754C2211yescharacteristic, complemented
45C2×#14519749C2211yescharacteristic
46C2×#14519749C2211yescharacteristic, complemented
47C2×#14519748C2211yescharacteristic
48C2×#14519748C2211yescharacteristic
49C2×#14519746C2211yescharacteristic
50C2×#14519745C2211yescharacteristic
51C2×#14519745C2211yescharacteristic
52C2×#14519745C2211yescharacteristic
53C2×#14519745C2211yescharacteristic, complemented
54C2×D4×Dic61C2211yescharacteristic, complemented
55C2×C4×C22⋊D61—28no—
56C2×C4×C22⋊D61C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic
58C2×C4×C22⋊D61C2211yescharacteristic
59C2×C4×C22⋊D61C2211yescharacteristic
60C2×C4×C22⋊D61C2211yescharacteristic, complemented
61C2×C4×C22⋊D61C2211yescharacteristic, complemented
62C2×C4×C22⋊D61C2211yescharacteristic, complemented
63C2×C4×C22⋊D61C2211yescharacteristic, complemented
64C2×#14519737C2211yescharacteristic, complemented
65C2×#14519737C2211yescharacteristic, complemented
66C22×#11758196C2211yescharacteristic, complemented
67C22×C22⋊Dic61C2211yescharacteristic, complemented
68C22×#11758198C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C2×C22⋊C4×D61C2211yescharacteristic, complemented
71C2×C22⋊C4×D61C2211yescharacteristic, complemented
72C22×C4×Dic61C2211yescharacteristic, complemented
73#16839704C2211yescharacteristic, complemented
74#16839700C2211yescharacteristic, complemented
75#16839698C2211yescharacteristic, complemented
76#16839697C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839687C2211yescharacteristic, complemented
81#16839686C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic, complemented
83#16839684C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839679C2211yescharacteristic, complemented
86#16839678C2211yescharacteristic, complemented
87#16839678C2211yescharacteristic, complemented
88#16839678C2211yescharacteristic, complemented
89#16839677C2211yescharacteristic, complemented
90#16839676C2211yescharacteristic, complemented
91#16839676C2211yescharacteristic, complemented
92#16839676C2211yescharacteristic, complemented
93#16839676C2211yescharacteristic, complemented
94#16839675C2211yescharacteristic, complemented
95#16839674C2211yescharacteristic, complemented
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic, complemented
99#16839670C2211yescharacteristic
100#16839670C2211yescharacteristic
101#16839670C2211yescharacteristic, complemented
102#16839670C2211yescharacteristic, complemented
103#16839670C2211yescharacteristic, complemented
104#16839670C2211yescharacteristic, complemented
105#16839666C2211yescharacteristic, complemented
106#16839665C2211yescharacteristic, complemented
107#16839662C2211yescharacteristic, complemented
108#16839662C2211yescharacteristic, complemented
109#16839656C2211yescharacteristic, complemented
110#16839656C2211yescharacteristic, complemented
111#16839656C2211yescharacteristic, complemented
112#16839656C2211yescharacteristic, complemented
113#16839655C2211yescharacteristic, complemented
114#16839655C2211yescharacteristic, complemented
115#16839654C2211yescharacteristic, complemented
116#16839651C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839650C2211yescharacteristic, complemented
121#16839649C2211yescharacteristic, complemented
122#16839647C2211yescharacteristic, complemented
123#16839645C2211yescharacteristic, complemented
124#16839644C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic, complemented
131#16839642C2211yescharacteristic, complemented
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic, complemented
135#16839641C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839637C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839636C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic, complemented
154#16839635C2211yescharacteristic, complemented
155#16839635C2211yescharacteristic, complemented
156#16839635C2211yescharacteristic, complemented
157#16839634C2211yescharacteristic, complemented
158#16839634C2211yescharacteristic, complemented
159#16839633C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839629C2211yescharacteristic, complemented
162#16839626C2211yescharacteristic, complemented
163#16839625C2211yescharacteristic, complemented
164#16839625C2211yescharacteristic, complemented
165#16839621C2211yescharacteristic, complemented
166#16839618C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C24×C4×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic, complemented
178C2×#120×C61C2211yescharacteristic
179C2×#120×C61C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61—24no—
194C22×C22⋊D61—24no—
195C22×C22⋊D61—24no—
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C2×D4×D61—24no—
208C2×D4×D61—42no—
209C2×D4×D61—42no—
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C22×C4×D61—24no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224#14519772—24no—
225#14519770—24no—
226#14519764—24no—
227#14519763—24no—
228#14519760—24no—
229#14519760—42no—
230#14519758—24no—
231#14519755—24no—
232#14519754—42no—
233#14519749—24no—
234#14519749—42no—
235#14519748—24no—
236#14519748—24no—
237#14519746—42no—
238#14519745—24no—
239#14519745—24no—
240#14519745—24no—
241#14519745—24no—
242D4×Dic61—42no—
243C4×C22⋊D61—24no—
244C4×C22⋊D61—24no—
245C4×C22⋊D61—24no—
246C4×C22⋊D61—24no—
247C4×C22⋊D61—24no—
248C4×C22⋊D61—24no—
249C4×C22⋊D61—24no—
250C4×C22⋊D61D418yescomplemented
251#14519737—24no—
252#14519737—42no—
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×#11758196—24no—
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×C22⋊Dic61—24no—
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×#11758198—24no—
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C22⋊C4×D61—24no—
318C22⋊C4×D61—42no—
319C22⋊C4×D61—42no—
320C2×C4×Dic61—24no—
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C25×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C23×C4×C61—24no—
363C23×C4×C61—42no—
364C23×C4×C61—42no—
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367C23×C4×C61C2311yescharacteristic
368C23×C4×C61C2311yescharacteristic
369C23×C4×C61C2311yescharacteristic
370C23×C4×C61C2311yescharacteristic
371#121×C61—24no—
372#121×C61—42no—
373#121×C61—42no—
374#120×C61—42no—
375#120×C61—42no—
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C4⋊C4×C61C2311yescharacteristic
378C2×C4⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391#95×C61C2311yescharacteristic
392#95×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—22no—
401C24×C61—22no—
402C24×C61—41no—
403C24×C61—41no—
404C24×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C24×C61C2411yescharacteristic
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—22no—
413C23×D61—22no—
414C23×D61—22no—
415C23×D61—22no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61#4114yes—
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C2×D4×C61—22no—
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C22×C4×C61—22no—
448C22×C4×C61—22no—
449C22×C4×C61—22no—
450C22×C4×C61—22no—
451C22×C4×C61—22no—
452C22×C4×C61—22no—
453C22×C4×C61—22no—
454C22×C4×C61—22no—
455C22×C4×C61—22no—
456C22×C4×C61—22no—
457C22×C4×C61—41no—
458C22×C4×C61—41no—
459C22×C4×C61—41no—
460C22×C4×C61—41no—
461C22×C4×C61—41no—
462C22×C4×C61—41no—
463C22×C4×C61—41no—
464C22×C4×C61—416no—
465C22×C4×C61C2×D414yescomplemented
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2411yescharacteristic
475C22×C4×C61C2411yescharacteristic
476C2×C22⋊D61—232no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—22no—
490C2×C22⋊D61—22no—
491C2×C22⋊D61—22no—
492C2×C22⋊D61—22no—
493C2×C22⋊D61—22no—
494C2×C22⋊D61—22no—
495C2×C22⋊D61—22no—
496C2×C22⋊D61—22no—
497C2×C22⋊D61—22no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61C2×D414yes—
509C2×C22⋊D61#4114yes—
510C22×Dic61—22no—
511C22×Dic61—22no—
512C22×Dic61—22no—
513C22×Dic61—22no—
514C22×Dic61—22no—
515C22×Dic61—22no—
516C22×Dic61—22no—
517C22×Dic61—22no—
518C22×Dic61—41no—
519C22×Dic61—41no—
520C22×Dic61—41no—
521C22×Dic61—41no—
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530C22×Dic61C2411yescharacteristic
531C22×Dic61C2411yescharacteristic
532C22×Dic61C2411yescharacteristic
533C22×Dic61C2411yescharacteristic
534C22×Dic61C2411yescharacteristic
535D4×D61—416no—
536C2×D244—22no—
537C2×D244—41no—
538C2×D244—41no—
539C2×C4×D61—22no—
540C2×C4×D61—22no—
541C2×C4×D61—22no—
542C2×C4×D61—22no—
543C2×C4×D61—22no—
544C2×C4×D61—22no—
545C2×C4×D61—22no—
546C2×C4×D61—22no—
547C2×C4×D61—41no—
548C2×C4×D61—41no—
549C2×C4×D61—41no—
550C2×C4×D61—41no—
551C2×C4×D61—41no—
552C2×C4×D61—41no—
553C2×C4×D61—41no—
554C2×C4×D61—41no—
555C2×C4×D61—416no—
556C2×C4×D61—41no—
557C2×C4×D61—41no—
558C2×C4×D61—41no—
559C2×C4×D61—41no—
560C2×C4×D61C2×D414yes—
561C2×Dic122—22no—
562C2×Dic122—41no—
563C2×Dic122—41no—
564C4⋊C4×C61—22no—
565C4⋊C4×C61—41no—
566C4⋊C4×C61—41no—
567C22⋊C4×C61—22no—
568C22⋊C4×C61—22no—
569C22⋊C4×C61—22no—
570C22⋊C4×C61—22no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—41no—
574C22⋊C4×C61—41no—
575C22⋊C4×C61—41no—
576C22⋊C4×C61—41no—
577C22⋊C4×C61—41no—
578C22⋊C4×C61—41no—
579C22⋊Dic61—22no—
580C22⋊Dic61—22no—
581C22⋊Dic61—22no—
582C22⋊Dic61—22no—
583C22⋊Dic61—22no—
584C22⋊Dic61—22no—
585C22⋊Dic61—22no—
586C22⋊Dic61—22no—
587C22⋊Dic61—22no—
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—22no—
592C22⋊Dic61—22no—
593C22⋊Dic61—41no—
594C22⋊Dic61—41no—
595C22⋊Dic61—41no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598C22⋊Dic61—41no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601C22⋊Dic61C2×D414yescomplemented
602#11758198—22no—
603#11758198—22no—
604#11758198—22no—
605#11758198—22no—
606#11758198—22no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—41no—
616#11758198—41no—
617#11758198—41no—
618#11758198—41no—
619#11758198—41no—
620#11758198—41no—
621#11758198—41no—
622#11758198C2×D414yes—
623C4⋊Dic61—22no—
624C4⋊Dic61—22no—
625C4⋊Dic61—41no—
626C4⋊Dic61—41no—
627#11758196—22no—
628#11758196—22no—
629#11758196—22no—
630#11758196—22no—
631#11758196—22no—
632#11758196—22no—
633#11758196—22no—
634#11758196—41no—
635#11758196—41no—
636#11758196—41no—
637#11758196—41no—
638#11758196—41no—
639#11758196C2×D414yescomplemented
640C4×Dic61—22no—
641C4×Dic61—22no—
642C4×Dic61—22no—
643C4×Dic61—22no—
644C4×Dic61—41no—
645C4×Dic61—41no—
646C4×Dic61C2×D414yescomplemented
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—28no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—44no—
679C23×C61—44no—
680C23×C61—44no—
681C23×C61—44no—
682C23×C61—44no—
683C23×C61—44no—
684C23×C61C22×D412yes—
685C23×C61C2×#4112yes—
686C23×C61C2×#4112yes—
687C23×C61H(5,𝔽2)12yes—
688C23×C61H(5,𝔽2)12yes—
689C23×C61C2511yescharacteristic
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—28no—
695C22×D61—21no—
696C22×D61—21no—
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—28no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—44no—
710C22×D61—44no—
711C22×D61—44no—
712C22×D61—44no—
713C22×D61—44no—
714C22×D61—44no—
715C22×D61—44no—
716C22×D61—44no—
717C22×D61—82no—
718C22×D61—82no—
719C22×D61—82no—
720C22×D61—82no—
721C22×D61C22×D412yes—
722C22×D61C2×#4112yes—
723C22×D61C2×#4112yes—
724C22×D61C2×#4112yes—
725D4×C61—44no—
726D4×C61—44no—
727D4×C61—82no—
728D4×C61—82no—
729D4×C61—82no—
730D4×C61—82no—
731D4×C61—82no—
732C2×C4×C61—28no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—44no—
761C2×C4×C61—44no—
762C2×C4×C61—44no—
763C2×C4×C61—44no—
764C2×C4×C61—44no—
765C2×C4×C61C22×D412yes—
766C2×C4×C61C22×D412yes—
767C2×C4×C61H(5,𝔽2)12yes—
768C22⋊D61—28no—
769C22⋊D61—28no—
770C22⋊D61—28no—
771C22⋊D61—28no—
772C22⋊D61—44no—
773C22⋊D61—44no—
774C22⋊D61—44no—
775C22⋊D61—44no—
776C22⋊D61—82no—
777C22⋊D61—82no—
778C22⋊D61—82no—
779C2×Dic61—28no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—44no—
816C2×Dic61—44no—
817C2×Dic61—82no—
818C2×Dic61C22×D412yes—
819C2×Dic61C22×D412yes—
820C2×Dic61C22×D412yes—
821C2×Dic61C2×#4112yes—
822D244—44no—
823C4×D61—44no—
824C4×D61—44no—
825C4×D61—44no—
826C4×D61—44no—
827C4×D61—44no—
828C4×D61—82no—
829C4×D61—82no—
830Dic122—82no—
831#34990—611nomaximal, Sylow
832C22×C61—22no—
833C22×C61—22no—
834C22×C61—22no—
835C22×C61—22no—
836C22×C61—22no—
837C22×C61—22no—
838C22×C61—22no—
839C22×C61—22no—
840C22×C61—22no—
841C22×C61—22no—
842C22×C61—22no—
843C22×C61—22no—
844C22×C61—416no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61#53814yescomplemented
868C22×C61C23×D411yescharacteristic
869C22×C61C22×#4111yescharacteristic
870C22×C61C22×#4111yescharacteristic
871C22×C61C2×H(5,𝔽2)11yescharacteristic
872C22×C61C2×H(5,𝔽2)11yescharacteristic
873C22×C61C2×H(5,𝔽2)11yescharacteristic
874C22×C61#58511yescharacteristic
875C2×D61—22no—
876C2×D61—22no—
877C2×D61—22no—
878C2×D61—22no—
879C2×D61—22no—
880C2×D61—22no—
881C2×D61—22no—
882C2×D61—22no—
883C2×D61—22no—
884C2×D61—416no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—88no—
897C2×D61#52514yes—
898C4×C61—22no—
899C4×C61—22no—
900C4×C61—22no—
901C4×C61—41no—
902C4×C61—41no—
903C4×C61—41no—
904C4×C61—41no—
905C4×C61—41no—
906C4×C61—41no—
907C4×C61—41no—
908Dic61—22no—
909Dic61—22no—
910Dic61—22no—
911Dic61—22no—
912Dic61—41no—
913Dic61—41no—
914Dic61—41no—
915Dic61—41no—
916Dic61—41no—
917Dic61—41no—
918Dic61—41no—
919Dic61—41no—
920Dic61—41no—
921C2×#538—611no—
922C22×C4×D4—611no—
923#2852—611no—
924#2850—611no—
925#2849—611no—
926#2847D6111yescharacteristic, complemented
927#2636—611no—
928#2635—611no—
929#2631—611no—
930#2630—611no—
931#2481—611no—
932#2472—611no—
933#2467—611no—
934#2459—611no—
935#2456—611no—
936#2456—611no—
937#2450—611no—
938#2444—611no—
939#2443—611no—
940#2437—611no—
941#2424—611no—
942#2424—611no—
943#2418—611no—
944#2410—611no—
945#2410—611no—
946#2403—611no—
947#2325—611no—
948#2321—611no—
949#2318—611no—
950C4×#120—611no—
951C2×#386—611no—
952C2×C61—24no—
953C2×C61—42no—
954C2×C61—42no—
955C2×C61—81no—
956C2×C61—81no—
957C2×C61C2×#52511yescharacteristic
958C2×C61C2×#53811yescharacteristic
959C2×C61#345911yescharacteristic
960C2×C61#348411yescharacteristic
961C2×C61#348811yescharacteristic
962C2×C61#351311yescharacteristic
963C2×C61#351911yescharacteristic
964D61—24no—
965D61—42no—
966D61—81no—
967C23×D4—611no—
968C23×D4—611no—
969C24×C4—611no—
970C24×C4C2×D6111yescharacteristic, complemented
971#538—1228no—
972C2×#126—611no—
973C2×#126—611no—
974C2×#124—611no—
975C2×#124—611no—
976C2×#123—611no—
977C2×#123—611no—
978C2×#123—611no—
979C2×C22⋊Q8—611no—
980C2×C22⋊Q8—611no—
981C2×#121—611no—
982C2×#121—611no—
983C2×#121—611no—
984C2×#121—611no—
985C2×#121C2×D6111yescharacteristic
986C2×#121C2×D6111yescharacteristic, complemented
987C2×#121C2×D6111yescharacteristic, complemented
988C2×#120—611no—
989C2×#120—611no—
990C2×#120—611no—
991C2×#120—611no—
992C2×#120—611no—
993C2×#120C2×D6111yescharacteristic
994C2×#120C2×D6111yescharacteristic, complemented
995C2×C4×D4—611no—
996C2×C4×D4—611no—
997C2×C4×D4—611no—
998C2×C4×D4—611no—
999C2×C4×D4—611no—
1000C2×C4×D4—611no—
1001C2×C4×D4—611no—
1002C2×C4×D4—611no—
1003C2×C4×D4—611no—
1004C2×C4×D4—611no—
1005C2×C4×D4—611no—
1006C2×C4×D4—1228no—
1007C22×C4⋊C4—611no—
1008C22×C22⋊C4—611no—
1009C22×C22⋊C4—611no—
1010C22×C22⋊C4—611no—
1011C22×C22⋊C4—611no—
1012C22×C22⋊C4—611no—
1013C22×C42—611no—
1014#400—611no—
1015#400—611no—
1016#399—611no—
1017#399—611no—
1018#398—611no—
1019#397—611no—
1020#397—611no—
1021#397—611no—
1022#396—611no—
1023#396—611no—
1024#396—611no—
1025#396—611no—
1026#394—611no—
1027#394—611no—
1028#394—611no—
1029#394—611no—
1030#394—611no—
1031#394—611no—
1032#394—611no—
1033#394—611no—
1034#394—611no—
1035#393—611no—
1036#393—611no—
1037#392—611no—
1038#392—611no—
1039#392—611no—
1040#392—611no—
1041#392—611no—
1042#392—611no—
1043#392—611no—
1044#392—611no—
1045#392—611no—
1046#391—611no—
1047#390—611no—
1048#390—611no—
1049#390—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388—611no—
1057#388—611no—
1058#388—611no—
1059#388—611no—
1060#388—611no—
1061#388—611no—
1062#387—611no—
1063#387—611no—
1064#387—611no—
1065#387—611no—
1066#387—611no—
1067#387—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386—611no—
1073#386—611no—
1074#386—611no—
1075#386—611no—
1076#386—611no—
1077#386—611no—
1078#386—611no—
1079#386—611no—
1080#386—611no—
1081#386—611no—
1082#386—611no—
1083#386—611no—
1084#386—611no—
1085#386—611no—
1086#386—611no—
1087#386—611no—
1088#386—611no—
1089#386—611no—
1090#386C2×D6111yescharacteristic
1091#386C2×D6111yescharacteristic, complemented
1092#386C2×D6111yescharacteristic, complemented
1093#386C2×D6111yescharacteristic, complemented
1094#386C2×D6111yescharacteristic, complemented
1095#386C2×D6111yescharacteristic, complemented
1096#385—611no—
1097#385—611no—
1098#385—611no—
1099#385—611no—
1100#385—611no—
1101#385—611no—
1102#385—611no—
1103#385—611no—
1104#385—611no—
1105#385—611no—
1106#385—611no—
1107#385—611no—
1108#383—611no—
1109#382—611no—
1110#381—611no—
1111#381—611no—
1112#380—611no—
1113#380C2×D6111yescharacteristic, complemented
1114#380C2×D6111yescharacteristic, complemented
1115#380C2×D6111yescharacteristic, complemented
1116#379—611no—
1117#379—611no—
1118#379—611no—
1119C4×C22⋊C4—611no—
1120C4×C22⋊C4—611no—
1121C4×C22⋊C4—611no—
1122C2×#95—611no—
1123C2×#95—611no—
1124C61#3499011yescharacteristic, complemented, Sylow
1125C25—611no—
1126C25—611no—
1127C25C22×D6111yescharacteristic
1128C22×Q8—611no—
1129C22×D4—611no—
1130C22×D4—611no—
1131C22×D4—611no—
1132C22×D4—611no—
1133C22×D4—611no—
1134C22×D4—611no—
1135C22×D4—611no—
1136C22×D4—611no—
1137C22×D4—611no—
1138C22×D4—611no—
1139C22×D4—611no—
1140C22×D4—611no—
1141C22×D4—1224no—
1142C22×D4—1224no—
1143C22×D4—1224no—
1144C22×D4—1224no—
1145C22×D4—2442no—
1146C22×D4—2442no—
1147C22×D4C22×D6111yescharacteristic
1148C22×D4C22×D6111yescharacteristic
1149C22×D4C22×D6111yescharacteristic
1150C22×D4C22×D6111yescharacteristic
1151C22×D4C22×D6111yescharacteristic
1152C22×D4C22×D6111yescharacteristic
1153C22×D4C22×D6111yescharacteristic
1154C23×C4—24no—
1155C23×C4—42no—
1156C23×C4—42no—
1157C23×C4—611no—
1158C23×C4—611no—
1159C23×C4—611no—
1160C23×C4—611no—
1161C23×C4—611no—
1162C23×C4—611no—
1163C23×C4—611no—
1164C23×C4—611no—
1165C23×C4—611no—
1166C23×C4—611no—
1167C23×C4—611no—
1168C23×C4—1224no—
1169C23×C4—2442no—
1170C23×C4—2442no—
1171C23×C4C22×D6111yescharacteristic
1172C23×C4C22×D6111yescharacteristic
1173C23×C4C22×D6111yescharacteristic
1174C23×C4C22×D6111yescharacteristic
1175C23×C4C22×D6111yescharacteristic
1176C23×C4C22×D6111yescharacteristic
1177#126—1224no—
1178#126—1224no—
1179#124—1224no—
1180#124—1224no—
1181#123—1224no—
1182#123—1224no—
1183#123—2442no—
1184C22⋊Q8—1224no—
1185C22⋊Q8—2442no—
1186#121—24no—
1187#121—42no—
1188#121—42no—
1189#121—1224no—
1190#121—1224no—
1191#121—1224no—
1192#121—2442no—
1193#120—42no—
1194#120—42no—
1195#120—1224no—
1196#120—1224no—
1197#120—1224no—
1198#120—1224no—
1199#120—2442no—
1200C4×D4—618no—
1201C4×D4—1224no—
1202C4×D4—1224no—
1203C4×D4—1224no—
1204C4×D4—1224no—
1205C4×D4—1224no—
1206C4×D4—1224no—
1207C4×D4—1224no—
1208C4×D4—1224no—
1209C4×D4—2442no—
1210C4×D4—2442no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1224no—
1229C2×C4⋊C4C22×D6111yescharacteristic
1230C2×C4⋊C4C22×D6111yescharacteristic
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊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×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—611no—
1255C2×C22⋊C4—611no—
1256C2×C22⋊C4—611no—
1257C2×C22⋊C4—611no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—1224no—
1277C2×C22⋊C4—1224no—
1278C2×C22⋊C4—1224no—
1279C2×C22⋊C4—2442no—
1280C2×C22⋊C4—2442no—
1281C2×C22⋊C4C22×D6111yescharacteristic
1282C2×C22⋊C4C22×D6111yescharacteristic
1283C2×C22⋊C4C22×D6111yescharacteristic
1284C2×C22⋊C4C22×D6111yescharacteristic
1285C2×C22⋊C4C22×D6111yescharacteristic
1286C2×C22⋊C4C22×D6111yescharacteristic
1287C2×C22⋊C4C22×D6111yescharacteristic
1288C2×C22⋊C4C22×D6111yescharacteristic
1289C2×C22⋊C4C22×D6111yescharacteristic
1290C2×C22⋊C4C22×D6111yescharacteristic
1291C2×C22⋊C4C22×D6111yescharacteristic
1292C2×C22⋊C4C22×D6111yescharacteristic
1293C2×C42—611no—
1294C2×C42—611no—
1295C2×C42—611no—
1296C2×C42—611no—
1297C2×C42—611no—
1298C2×C42—611no—
1299C2×C42—611no—
1300C2×C42—1224no—
1301#95—611no—
1302#95—611no—
1303#95—611no—
1304#95—611no—
1305#95—611no—
1306#95—611no—
1307#95—611no—
1308#95—611no—
1309#95—611no—
1310#95—611no—
1311#95—611no—
1312#95—611no—
1313#95—611no—
1314#95—611no—
1315#95—611no—
1316#95—611no—
1317#95—611no—
1318#95—611no—
1319#95—611no—
1320#95—611no—
1321#95—611no—
1322#95—611no—
1323#95—611no—
1324#95—611no—
1325#95—611no—
1326#95—611no—
1327#95C22×D6111yescharacteristic
1328#95C22×D6111yescharacteristic
1329#95C22×D6111yescharacteristic
1330#95C22×D6111yescharacteristic
1331#95C22×D6111yescharacteristic
1332#95C22×D6111yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—611no—
1341C24—611no—
1342C24—614no—
1343C24—611no—
1344C24—1222no—
1345C24—1222no—
1346C24—1222no—
1347C24—1222no—
1348C24—1222no—
1349C24—1222no—
1350C24—1222no—
1351C24—2441no—
1352C24—2441no—
1353C24—2441no—
1354C24—2441no—
1355C24—2441no—
1356C24—2441no—
1357C24C23×D6111yescharacteristic
1358C24C23×D6111yescharacteristic
1359C24C23×D6111yescharacteristic
1360C24C23×D6111yescharacteristic
1361C24C23×D6111yescharacteristic
1362C2×Q8—1222no—
1363C2×Q8—2441no—
1364C2×Q8—2441no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—614no—
1387C2×D4—614no—
1388C2×D4—1222no—
1389C2×D4—1222no—
1390C2×D4—1222no—
1391C2×D4—1222no—
1392C2×D4—1222no—
1393C2×D4—1222no—
1394C2×D4—1222no—
1395C2×D4—1222no—
1396C2×D4—1222no—
1397C2×D4—1222no—
1398C2×D4—12232no—
1399C2×D4—1222no—
1400C2×D4—1222no—
1401C2×D4—1222no—
1402C2×D4—1222no—
1403C2×D4—1222no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1222no—
1411C2×D4—2441no—
1412C2×D4—2441no—
1413C2×D4—2441no—
1414C2×D4—2441no—
1415C2×D4—2441no—
1416C2×D4—2441no—
1417C2×D4—2441no—
1418C2×D4—2441no—
1419C2×D4—2441no—
1420C2×D4—2441no—
1421C2×D4—2441no—
1422C2×D4—2441no—
1423C2×D4—24416no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—416no—
1442C22×C4—611no—
1443C22×C4—611no—
1444C22×C4—611no—
1445C22×C4—611no—
1446C22×C4—614no—
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—1222no—
1457C22×C4—1222no—
1458C22×C4—1222no—
1459C22×C4—1222no—
1460C22×C4—1222no—
1461C22×C4—1222no—
1462C22×C4—1222no—
1463C22×C4—1222no—
1464C22×C4—1222no—
1465C22×C4—1222no—
1466C22×C4—1222no—
1467C22×C4—1222no—
1468C22×C4—1222no—
1469C22×C4—1222no—
1470C22×C4—1222no—
1471C22×C4—1222no—
1472C22×C4—2441no—
1473C22×C4—2441no—
1474C22×C4—2441no—
1475C22×C4—2441no—
1476C22×C4—2441no—
1477C22×C4—2441no—
1478C22×C4—2441no—
1479C22×C4—2441no—
1480C22×C4—2441no—
1481C22×C4—2441no—
1482C22×C4—2441no—
1483C22×C4—2441no—
1484C22×C4—24416no—
1485C22×C4—2441no—
1486C22×C4—2441no—
1487C22×C4—2441no—
1488C22×C4—2441no—
1489C22×C4D4×D6114yescomplemented
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492C22×C4C23×D6111yescharacteristic
1493C22×C4C23×D6111yescharacteristic
1494C22×C4C23×D6111yescharacteristic
1495C22×C4C23×D6111yescharacteristic
1496C22×C4C23×D6111yescharacteristic
1497C22×C4C23×D6111yescharacteristic
1498C22×C4C23×D6111yescharacteristic
1499C22×C4C23×D6111yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—614no—
1504C4⋊C4—1222no—
1505C4⋊C4—1222no—
1506C4⋊C4—1222no—
1507C4⋊C4—1222no—
1508C4⋊C4—1222no—
1509C4⋊C4—1222no—
1510C4⋊C4—1222no—
1511C4⋊C4—1222no—
1512C4⋊C4—1222no—
1513C4⋊C4—2441no—
1514C4⋊C4—2441no—
1515C4⋊C4—2441no—
1516C4⋊C4—2441no—
1517C4⋊C4—2441no—
1518C4⋊C4—2441no—
1519C4⋊C4—2441no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—614no—
1533C22⋊C4—614no—
1534C22⋊C4—1222no—
1535C22⋊C4—1222no—
1536C22⋊C4—1222no—
1537C22⋊C4—1222no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—1222no—
1542C22⋊C4—1222no—
1543C22⋊C4—1222no—
1544C22⋊C4—1222no—
1545C22⋊C4—1222no—
1546C22⋊C4—1222no—
1547C22⋊C4—1222no—
1548C22⋊C4—1222no—
1549C22⋊C4—1222no—
1550C22⋊C4—1222no—
1551C22⋊C4—1222no—
1552C22⋊C4—1222no—
1553C22⋊C4—1222no—
1554C22⋊C4—1222no—
1555C22⋊C4—1222no—
1556C22⋊C4—1222no—
1557C22⋊C4—1222no—
1558C22⋊C4—1222no—
1559C22⋊C4—1222no—
1560C22⋊C4—1222no—
1561C22⋊C4—2441no—
1562C22⋊C4—2441no—
1563C22⋊C4—2441no—
1564C22⋊C4—2441no—
1565C22⋊C4—2441no—
1566C22⋊C4—2441no—
1567C22⋊C4—2441no—
1568C22⋊C4—2441no—
1569C22⋊C4—2441no—
1570C22⋊C4—2441no—
1571C22⋊C4—2441no—
1572C22⋊C4—2441no—
1573C22⋊C4—2441no—
1574C22⋊C4—2441no—
1575C22⋊C4—2441no—
1576C42—614no—
1577C42—1222no—
1578C42—1222no—
1579C42—1222no—
1580C42—1222no—
1581C42—2441no—
1582C42—2441no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—612no—
1621C23—612no—
1622C23—612no—
1623C23—612no—
1624C23—1228no—
1625C23—1221no—
1626C23—1221no—
1627C23—1221no—
1628C23—1221no—
1629C23—1221no—
1630C23—1221no—
1631C23—1221no—
1632C23—1221no—
1633C23—1221no—
1634C23—1221no—
1635C23—1228no—
1636C23—1221no—
1637C23—1221no—
1638C23—1221no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—4882no—
1644C23—4882no—
1645C23—4882no—
1646C23—4882no—
1647C23—2444no—
1648C23—2444no—
1649C23—2444no—
1650C23—2444no—
1651C23—2444no—
1652C23—2444no—
1653C23—2444no—
1654C23—2444no—
1655C23C2×D4×D6112yes—
1656C23#41×D6112yes—
1657C23#41×D6112yes—
1658C23#1451982212yes—
1659C23#1451982212yes—
1660C23C24×D6111yescharacteristic
1661Q8—4882no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669D4—1228no—
1670D4—1228no—
1671D4—1228no—
1672D4—1228no—
1673D4—4882no—
1674D4—4882no—
1675D4—4882no—
1676D4—2444no—
1677D4—2444no—
1678D4—2444no—
1679D4—2444no—
1680D4—2444no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—612no—
1715C2×C4—612no—
1716C2×C4—612no—
1717C2×C4—612no—
1718C2×C4—1228no—
1719C2×C4—1221no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—1221no—
1731C2×C4—1221no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—1221no—
1745C2×C4—1221no—
1746C2×C4—1221no—
1747C2×C4—1221no—
1748C2×C4—1221no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—4882no—
1755C2×C4—4882no—
1756C2×C4—4882no—
1757C2×C4—2444no—
1758C2×C4—2444no—
1759C2×C4—2444no—
1760C2×C4—2444no—
1761C2×C4—2444no—
1762C2×C4—2444no—
1763C2×C4—2444no—
1764C2×C4C2×D4×D6112yes—
1765C2×C4C2×D4×D6112yes—
1766C2×C4#1451982212yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—416no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—614no—
1803C22—1222no—
1804C22—1222no—
1805C22—1222no—
1806C22—1222no—
1807C22—1222no—
1808C22—1222no—
1809C22—1222no—
1810C22—1222no—
1811C22—1222no—
1812C22—4888no—
1813C22—24416no—
1814C22—2441no—
1815C22—2441no—
1816C22—2441no—
1817C22—2441no—
1818C22—2441no—
1819C22—2441no—
1820C22—2441no—
1821C22—2441no—
1822C22—2441no—
1823C22—2441no—
1824C22—2441no—
1825C22#1684034414yescomplemented
1826C22C22×D4×D6111yescharacteristic
1827C22C2×#41×D6111yescharacteristic
1828C22C2×#41×D6111yescharacteristic
1829C22C2×#1451982211yescharacteristic
1830C22C2×#1451982211yescharacteristic
1831C22C2×#1451982211yescharacteristic
1832C22#1684059811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—1222no—
1844C4—1222no—
1845C4—1222no—
1846C4—1222no—
1847C4—2441no—
1848C4—2441no—
1849C4—2441no—
1850C4—2441no—
1851C4—2441no—
1852C4—2441no—
1853C4—2441no—
1854C4—2441no—
1855C4—2441no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—1224no—
1862C2—4881no—
1863C2—2442no—
1864C2#525×D6111yescharacteristic
1865C2C2×#1684034411yescharacteristic
1866C2#2145922611yescharacteristic
1867C2#2145944811yescharacteristic
1868C2#2145948411yescharacteristic
1869C2#2145974511yescharacteristic
1870C2#2145984511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2847C2
hypercenter#2847D61
hypocenterC61#34990
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#16840344C2semidirect
2. C22×C4×C22⋊D61C2semidirect
3. #21454132C2semidirect
4. #21454116C2semidirect
5. #21454111C2semidirect
6. #21451720C2semidirect
7. #21451704C2semidirect
8. #21451675C2semidirect
9. #21451660C2semidirect
10. #21450087C2semidirect
11. #21449944C2semidirect
12. #21449877C2semidirect
13. #21449755C2semidirect
14. #21449716C2semidirect
15. #21449715C2semidirect
16. #21449650C2semidirect
17. #21449566C2semidirect
18. #21449550C2semidirect
19. #21449487C2semidirect
20. #21449359C2semidirect
21. #21449352C2semidirect
22. #21449280C2semidirect
23. #21449190C2semidirect
24. #21449189C2semidirect
25. #21449130C2semidirect
26. #21448521C2semidirect
27. #21448475C2semidirect
28. #21448454C2semidirect
29. #21448324C2semidirect
30. #386×D61C2semidirect
31. C61×#2847C2semidirect
36. C2×#14519772C22semidirect
37. C2×#14519770C22semidirect
38. C2×#14519764C22semidirect
39. C2×#14519763C22semidirect
40. C2×#14519760C22semidirect
41. C2×#14519760C22semidirect
42. C2×#14519758C22semidirect
43. C2×#14519755C22semidirect
44. C2×#14519754C22semidirect
46. C2×#14519749C22semidirect
53. C2×#14519745C22semidirect
54. C2×D4×Dic61C22semidirect
60. C2×C4×C22⋊D61C22semidirect
61. C2×C4×C22⋊D61C22semidirect
62. C2×C4×C22⋊D61C22semidirect
63. C2×C4×C22⋊D61C22semidirect
64. C2×#14519737C22semidirect
65. C2×#14519737C22semidirect
66. C22×#11758196C22semidirect
67. C22×C22⋊Dic61C22semidirect
70. C2×C22⋊C4×D61C22semidirect
71. C2×C22⋊C4×D61C22semidirect
72. C22×C4×Dic61C22semidirect
73. #16839704C22semidirect
74. #16839700C22semidirect
75. #16839698C22semidirect
76. #16839697C22semidirect
77. #16839692C22semidirect
78. #16839691C22semidirect
79. #16839690C22semidirect
80. #16839687C22semidirect
81. #16839686C22semidirect
82. #16839685C22semidirect
83. #16839684C22semidirect
84. #16839684C22semidirect
85. #16839679C22semidirect
86. #16839678C22semidirect
87. #16839678C22semidirect
88. #16839678C22semidirect
89. #16839677C22semidirect
90. #16839676C22semidirect
91. #16839676C22semidirect
92. #16839676C22semidirect
93. #16839676C22semidirect
94. #16839675C22semidirect
95. #16839674C22semidirect
98. #16839671C22semidirect
101. #16839670C22semidirect
102. #16839670C22semidirect
103. #16839670C22semidirect
104. #16839670C22semidirect
105. #16839666C22semidirect
106. #16839665C22semidirect
107. #16839662C22semidirect
108. #16839662C22semidirect
109. #16839656C22semidirect
110. #16839656C22semidirect
111. #16839656C22semidirect
112. #16839656C22semidirect
113. #16839655C22semidirect
114. #16839655C22semidirect
115. #16839654C22semidirect
116. #16839651C22semidirect
117. #16839651C22semidirect
118. #16839650C22semidirect
119. #16839650C22semidirect
120. #16839650C22semidirect
121. #16839649C22semidirect
122. #16839647C22semidirect
123. #16839645C22semidirect
124. #16839644C22semidirect
125. #16839643C22semidirect
126. #16839643C22semidirect
130. #16839642C22semidirect
131. #16839642C22semidirect
134. #16839641C22semidirect
135. #16839641C22semidirect
136. #16839640C22semidirect
137. #16839640C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839637C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
152. #16839636C22semidirect
153. #16839635C22semidirect
154. #16839635C22semidirect
155. #16839635C22semidirect
156. #16839635C22semidirect
157. #16839634C22semidirect
158. #16839634C22semidirect
159. #16839633C22semidirect
160. #16839633C22semidirect
161. #16839629C22semidirect
162. #16839626C22semidirect
163. #16839625C22semidirect
164. #16839625C22semidirect
165. #16839621C22semidirect
166. #16839618C22semidirect
168. #16839617C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
174. C24×C4×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×#121×C61C22semidirect
179. C2×#120×C61C22semidirect
181. C61×#386C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#380C22semidirect
187. C61×#380C22semidirect
188. C61×#380C22semidirect
250. C4×C22⋊D61D4semidirect
465. C22×C4×C61C2×D4semidirect
601. C22⋊Dic61C2×D4semidirect
639. #11758196C2×D4semidirect
646. C4×Dic61C2×D4semidirect
867. C22×C61#538semidirect
926. #2847D61semidirect
970. C24×C4C2×D61semidirect
986. C2×#121C2×D61semidirect
987. C2×#121C2×D61semidirect
994. C2×#120C2×D61semidirect
1091. #386C2×D61semidirect
1092. #386C2×D61semidirect
1093. #386C2×D61semidirect
1094. #386C2×D61semidirect
1095. #386C2×D61semidirect
1113. #380C2×D61semidirect
1114. #380C2×D61semidirect
1115. #380C2×D61semidirect
1124. C61#34990semidirect
1489. C22×C4D4×D61semidirect
1825. C22#16840344semidirect

Maximal subgroups

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

subgroupindex
C2×#168403442
C22×C4×C22⋊D612
#214541322
#214541162
#214541112
#214517202
#214517042
#214516752
#214516602
#214500872
#214499442
#214498772
#214497552
#214497162
#214497152
#214496502
#214495662
#214495502
#214494872
#214493592
#214493522
#214492802
#214491902
#214491892
#214491302
#214485212
#214484752
#214484542
#214483242
#386×D612
C61×#28472
#3499061