Finite Group Databasebeta

← #29847546

Subgroups — #29847546

Order 15616.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840269C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D61C211yesmaximal, characteristic, complemented
3C2×C4×D4×D61C211yesmaximal, characteristic, complemented
4#21449812C211yesmaximal, characteristic, complemented
5#21449716C211yesmaximal, characteristic, complemented
6#21449707C211yesmaximal, characteristic, complemented
7#21449698C211yesmaximal, characteristic, complemented
8#21449625C211yesmaximal, characteristic, complemented
9#21449624C211yesmaximal, characteristic, complemented
10#21449551C211yesmaximal, characteristic, complemented
11#21449550C211yesmaximal, characteristic, complemented
12#21449482C211yesmaximal, characteristic, complemented
13#21449352C211yesmaximal, characteristic, complemented
14#21449351C211yesmaximal, characteristic, complemented
15#21449278C211yesmaximal, characteristic, complemented
16#21449277C211yesmaximal, characteristic, complemented
17#21449190C211yesmaximal, characteristic, complemented
18#21449189C211yesmaximal, characteristic, complemented
19#21449130C211yesmaximal, characteristic, complemented
20#21449098C211yesmaximal, characteristic, complemented
21#21449061C211yesmaximal, characteristic, complemented
22#21449055C211yesmaximal, characteristic, complemented
23#21449032C211yesmaximal, characteristic, complemented
24C4×#14519749C211yesmaximal, characteristic, complemented
25C4×#14519748C211yesmaximal, characteristic, complemented
26C4×#14519746C211yesmaximal, characteristic, complemented
27C4×#14519745C211yesmaximal, characteristic, complemented
28C4×#14519745C211yesmaximal, characteristic, complemented
29#21448264C211yesmaximal, characteristic, complemented
30#21448256C211yesmaximal, characteristic, complemented
31C2×C61×#525C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic, complemented
36#16840269—28no—
37C2×#14519758C2211yescharacteristic, complemented
38C2×#14519758C2211yescharacteristic, complemented
39C2×#14519753C2211yescharacteristic, complemented
40C2×#14519753C2211yescharacteristic, complemented
41C2×#14519749C2211yescharacteristic
42C2×#14519748C2211yescharacteristic
43C2×#14519748C2211yescharacteristic
44C2×#14519748C2211yescharacteristic, complemented
45C2×#14519746C2211yescharacteristic
46C2×#14519745C2211yescharacteristic
47C2×#14519745C2211yescharacteristic
48C2×#14519745C2211yescharacteristic
49C2×#14519745C2211yescharacteristic, complemented
50C2×C4×D244C2211yescharacteristic, complemented
51C2×D4×Dic61C2211yescharacteristic
52C2×#14519739C2211yescharacteristic, complemented
53C2×C4×C22⋊D61—28no—
54C2×C4×C22⋊D61C2211yescharacteristic
55C2×C4×C22⋊D61C2211yescharacteristic
56C2×C4×C22⋊D61C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic
58C2×C4×C22⋊D61C2211yescharacteristic
59C2×C4×C22⋊D61C2211yescharacteristic, complemented
60C2×C4×C22⋊D61C2211yescharacteristic, complemented
61C2×C4×C22⋊D61C2211yescharacteristic, complemented
62C2×C4×C22⋊D61C2211yescharacteristic, complemented
63C2×C4×C22⋊D61C2211yescharacteristic, complemented
64C2×C4×C22⋊D61C2211yescharacteristic, complemented
65C2×C4×C22⋊D61C2211yescharacteristic, complemented
66C2×C4×C22⋊D61C2211yescharacteristic, complemented
67C2×C4×C22⋊D61C2211yescharacteristic, complemented
68C2×C4×C22⋊D61C2211yescharacteristic, complemented
69C2×#14519737C2211yescharacteristic
70C2×#14519737C2211yescharacteristic, complemented
71C4×D4×D61—28no—
72C2×#14519736C2211yescharacteristic, complemented
73C22×#11758196C2211yescharacteristic, complemented
74C2×C4⋊C4×D61C2211yescharacteristic, complemented
75C22×C22⋊Dic61C2211yescharacteristic, complemented
76C22×#11758198C2211yescharacteristic
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C22⋊C4×D61C2211yescharacteristic, complemented
79C22×C4×Dic61C2211yescharacteristic, complemented
80C2×C42×D61C2211yescharacteristic, complemented
81#16839698C2211yescharacteristic, complemented
82#16839698C2211yescharacteristic, complemented
83#16839697C2211yescharacteristic, complemented
84#16839697C2211yescharacteristic, complemented
85#16839695C2211yescharacteristic, complemented
86#16839692C2211yescharacteristic, complemented
87#16839690C2211yescharacteristic, complemented
88#16839687C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839681C2211yescharacteristic, complemented
94#16839679C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839676C2211yescharacteristic, complemented
100#16839676C2211yescharacteristic, complemented
101#16839676C2211yescharacteristic, complemented
102#16839676C2211yescharacteristic, complemented
103#16839673C2211yescharacteristic, complemented
104#16839671C2211yescharacteristic
105#16839671C2211yescharacteristic
106#16839671C2211yescharacteristic, complemented
107#16839670C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic, complemented
110#16839670C2211yescharacteristic, complemented
111#16839670C2211yescharacteristic, complemented
112#16839670C2211yescharacteristic, complemented
113#16839665C2211yescharacteristic, complemented
114#16839662C2211yescharacteristic, complemented
115#16839658C2211yescharacteristic, complemented
116#16839657C2211yescharacteristic, complemented
117#16839656C2211yescharacteristic, complemented
118#16839655C2211yescharacteristic, complemented
119#16839655C2211yescharacteristic, complemented
120#16839652C2211yescharacteristic, complemented
121#16839650C2211yescharacteristic, complemented
122#16839650C2211yescharacteristic, complemented
123#16839650C2211yescharacteristic, complemented
124#16839650C2211yescharacteristic, complemented
125#16839648C2211yescharacteristic, complemented
126#16839648C2211yescharacteristic, complemented
127#16839643C2211yescharacteristic, complemented
128#16839643C2211yescharacteristic, complemented
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839642C2211yescharacteristic, complemented
132#16839642C2211yescharacteristic, complemented
133#16839642C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839639C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839635C2211yescharacteristic, complemented
149#16839635C2211yescharacteristic, complemented
150#16839635C2211yescharacteristic, complemented
151#16839634C2211yescharacteristic, complemented
152#16839634C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839620C2211yescharacteristic, complemented
160#16839619C2211yescharacteristic, complemented
161#16839618C2211yescharacteristic, complemented
162#16839617C2211yescharacteristic
163#16839617C2211yescharacteristic, complemented
164C4×#11758196C2211yescharacteristic, complemented
165C4×C4⋊Dic61C2211yescharacteristic, complemented
166C4×#11758198C2211yescharacteristic, complemented
167C4×#11758198C2211yescharacteristic, complemented
168C4×#11758198C2211yescharacteristic, complemented
169C4×C22⋊Dic61C2211yescharacteristic, complemented
170C4×C22⋊Dic61C2211yescharacteristic, complemented
171C4×C22⋊Dic61C2211yescharacteristic, complemented
172C4×C22⋊Dic61C2211yescharacteristic, complemented
173C4×C22⋊Dic61C2211yescharacteristic, complemented
174#16839608C2211yescharacteristic, complemented
175C22×#41×C61C2211yescharacteristic, complemented
176C24×C4×C61C2211yescharacteristic, complemented
177C61×#525—28no—
178C2×#123×C61C2211yescharacteristic, complemented
179C2×#123×C61C2211yescharacteristic, complemented
180C2×C22⋊Q8×C61C2211yescharacteristic, complemented
181C2×C22⋊Q8×C61C2211yescharacteristic, complemented
182C2×#121×C61C2211yescharacteristic
183C2×#121×C61C2211yescharacteristic, complemented
184C2×#120×C61C2211yescharacteristic
185C2×#120×C61C2211yescharacteristic, complemented
186C2×C4×D4×C61C2211yescharacteristic
187C2×C4×D4×C61C2211yescharacteristic, complemented
188C2×C4×D4×C61C2211yescharacteristic, complemented
189C2×C4×D4×C61C2211yescharacteristic, complemented
190C2×#117×C61C2211yescharacteristic, complemented
191C24×D61C2311yescharacteristic
192C24×D61C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×C22⋊D61—24no—
195C22×C22⋊D61—24no—
196C22×C22⋊D61—24no—
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
207C22×C22⋊D61C2311yescharacteristic
208C2×D4×D61—24no—
209C2×D4×D61—24no—
210C2×D4×D61—24no—
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C22×C4×D61—24no—
216C22×C4×D61—24no—
217C22×C4×D61—24no—
218C22×C4×D61—24no—
219C22×C4×D61—42no—
220C22×C4×D61—42no—
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519758—24no—
231#14519758—24no—
232#14519753—24no—
233#14519753—24no—
234#14519749—24no—
235#14519748—24no—
236#14519748—24no—
237#14519748—24no—
238#14519746—24no—
239#14519745—24no—
240#14519745—24no—
241#14519745—24no—
242#14519745—24no—
243C4×D244—24no—
244D4×Dic61—24no—
245#14519739—24no—
246C4×C22⋊D61—24no—
247C4×C22⋊D61—24no—
248C4×C22⋊D61—24no—
249C4×C22⋊D61—24no—
250C4×C22⋊D61—24no—
251C4×C22⋊D61—24no—
252C4×C22⋊D61—24no—
253C4×C22⋊D61—24no—
254C4×C22⋊D61—24no—
255C4×C22⋊D61—24no—
256C4×C22⋊D61—24no—
257C4×C22⋊D61—24no—
258C4×C22⋊D61—42no—
259C4×C22⋊D61—42no—
260C4×C22⋊D61D418yescomplemented
261#14519737—24no—
262#14519737—24no—
263#14519736—24no—
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×#11758196—24no—
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C4⋊C4×D61—24no—
284C2×C22⋊Dic61—24no—
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×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic
308C2×#11758198—24no—
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C22⋊C4×D61—24no—
329C22⋊C4×D61—24no—
330C2×C4×Dic61—24no—
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
337C2×C4×Dic61C2311yescharacteristic
338C2×C4×Dic61C2311yescharacteristic
339C2×C4×Dic61C2311yescharacteristic
340C42×D61—24no—
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
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360#14519684C2311yescharacteristic
361#14519684C2311yescharacteristic
362#14519684C2311yescharacteristic
363#14519684C2311yescharacteristic
364#14519684C2311yescharacteristic
365C25×C61C2311yescharacteristic
366C2×#41×C61—24no—
367C2×#41×C61—24no—
368C2×#41×C61—42no—
369C22×Q8×C61C2311yescharacteristic
370C22×D4×C61C2311yescharacteristic
371C22×D4×C61C2311yescharacteristic
372C22×D4×C61C2311yescharacteristic
373C22×D4×C61C2311yescharacteristic
374C22×D4×C61C2311yescharacteristic
375C22×D4×C61C2311yescharacteristic
376C22×D4×C61C2311yescharacteristic
377C23×C4×C61—24no—
378C23×C4×C61—24no—
379C23×C4×C61—42no—
380C23×C4×C61C2311yescharacteristic
381C23×C4×C61C2311yescharacteristic
382C23×C4×C61C2311yescharacteristic
383C23×C4×C61C2311yescharacteristic
384C23×C4×C61C2311yescharacteristic
385C23×C4×C61C2311yescharacteristic
386C23×C4×C61C2311yescharacteristic
387C23×C4×C61C2311yescharacteristic
388#123×C61—24no—
389#123×C61—24no—
390C22⋊Q8×C61—24no—
391C22⋊Q8×C61—24no—
392#121×C61—24no—
393#121×C61—24no—
394#120×C61—24no—
395#120×C61—24no—
396C4×D4×C61—24no—
397C4×D4×C61—24no—
398C4×D4×C61—24no—
399C4×D4×C61D418yescomplemented
400#117×C61—24no—
401C2×C4⋊C4×C61C2311yescharacteristic
402C2×C4⋊C4×C61C2311yescharacteristic
403C2×C4⋊C4×C61C2311yescharacteristic
404C2×C4⋊C4×C61C2311yescharacteristic
405C2×C4⋊C4×C61C2311yescharacteristic
406C2×C4⋊C4×C61C2311yescharacteristic
407C2×C22⋊C4×C61C2311yescharacteristic
408C2×C22⋊C4×C61C2311yescharacteristic
409C2×C22⋊C4×C61C2311yescharacteristic
410C2×C22⋊C4×C61C2311yescharacteristic
411C2×C22⋊C4×C61C2311yescharacteristic
412C2×C22⋊C4×C61C2311yescharacteristic
413C2×C22⋊C4×C61C2311yescharacteristic
414C2×C22⋊C4×C61C2311yescharacteristic
415C2×C22⋊C4×C61C2311yescharacteristic
416C2×C22⋊C4×C61C2311yescharacteristic
417C2×C42×C61C2311yescharacteristic
418C2×C42×C61C2311yescharacteristic
419C24×C61—22no—
420C24×C61—22no—
421C24×C61—22no—
422C24×C61—22no—
423C24×C61—22no—
424C24×C61—41no—
425C24×C61—41no—
426C24×C61C2411yescharacteristic
427C24×C61C2411yescharacteristic
428C24×C61C2411yescharacteristic
429C24×C61C2411yescharacteristic
430C24×C61C2411yescharacteristic
431C23×D61—22no—
432C23×D61—22no—
433C23×D61—22no—
434C23×D61—22no—
435C23×D61—22no—
436C23×D61—22no—
437C23×D61—22no—
438C23×D61—22no—
439C23×D61—22no—
440C23×D61—41no—
441C23×D61—41no—
442C23×D61—41no—
443C23×D61—41no—
444C23×D61#4114yescomplemented
445C23×D61C2411yescharacteristic
446C23×D61C2411yescharacteristic
447C23×D61C2411yescharacteristic
448#41×C61—416no—
449C2×Q8×C61—22no—
450C2×Q8×C61—22no—
451C2×Q8×C61—41no—
452C2×D4×C61—22no—
453C2×D4×C61—22no—
454C2×D4×C61—22no—
455C2×D4×C61—22no—
456C2×D4×C61—22no—
457C2×D4×C61—22no—
458C2×D4×C61—22no—
459C2×D4×C61—22no—
460C2×D4×C61—22no—
461C2×D4×C61—22no—
462C2×D4×C61—22no—
463C2×D4×C61—22no—
464C2×D4×C61—22no—
465C2×D4×C61—22no—
466C2×D4×C61—22no—
467C2×D4×C61—41no—
468C2×D4×C61—41no—
469C2×D4×C61—41no—
470C2×D4×C61—41no—
471C2×D4×C61—41no—
472C2×D4×C61C2×D414yes—
473C22×C4×C61—22no—
474C22×C4×C61—22no—
475C22×C4×C61—22no—
476C22×C4×C61—22no—
477C22×C4×C61—22no—
478C22×C4×C61—22no—
479C22×C4×C61—22no—
480C22×C4×C61—22no—
481C22×C4×C61—22no—
482C22×C4×C61—22no—
483C22×C4×C61—22no—
484C22×C4×C61—22no—
485C22×C4×C61—22no—
486C22×C4×C61—22no—
487C22×C4×C61—22no—
488C22×C4×C61—22no—
489C22×C4×C61—22no—
490C22×C4×C61—22no—
491C22×C4×C61—41no—
492C22×C4×C61—41no—
493C22×C4×C61—41no—
494C22×C4×C61—416no—
495C22×C4×C61C2×D414yes—
496C22×C4×C61C2×D414yescomplemented
497C22×C4×C61C2×D414yescomplemented
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C22×C4×C61C2411yescharacteristic
504C22×C4×C61C2411yescharacteristic
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C22×C4×C61C2411yescharacteristic
508C2×C22⋊D61—232no—
509C2×C22⋊D61—22no—
510C2×C22⋊D61—22no—
511C2×C22⋊D61—22no—
512C2×C22⋊D61—22no—
513C2×C22⋊D61—22no—
514C2×C22⋊D61—22no—
515C2×C22⋊D61—22no—
516C2×C22⋊D61—22no—
517C2×C22⋊D61—22no—
518C2×C22⋊D61—22no—
519C2×C22⋊D61—22no—
520C2×C22⋊D61—22no—
521C2×C22⋊D61—22no—
522C2×C22⋊D61—22no—
523C2×C22⋊D61—22no—
524C2×C22⋊D61—22no—
525C2×C22⋊D61—22no—
526C2×C22⋊D61—22no—
527C2×C22⋊D61—22no—
528C2×C22⋊D61—22no—
529C2×C22⋊D61—22no—
530C2×C22⋊D61—22no—
531C2×C22⋊D61—22no—
532C2×C22⋊D61—22no—
533C2×C22⋊D61—22no—
534C2×C22⋊D61—41no—
535C2×C22⋊D61—41no—
536C2×C22⋊D61—41no—
537C2×C22⋊D61—41no—
538C2×C22⋊D61—41no—
539C2×C22⋊D61C2×D414yes—
540C2×C22⋊D61#4114yescomplemented
541C2×C22⋊D61#4114yescomplemented
542C22×Dic61—22no—
543C22×Dic61—22no—
544C22×Dic61—22no—
545C22×Dic61—22no—
546C22×Dic61—22no—
547C22×Dic61—22no—
548C22×Dic61—22no—
549C22×Dic61—22no—
550C22×Dic61—22no—
551C22×Dic61—41no—
552C22×Dic61—41no—
553C22×Dic61—41no—
554C22×Dic61C2411yescharacteristic
555C22×Dic61C2411yescharacteristic
556C22×Dic61C2411yescharacteristic
557C22×Dic61C2411yescharacteristic
558C22×Dic61C2411yescharacteristic
559C22×Dic61C2411yescharacteristic
560C22×Dic61C2411yescharacteristic
561C22×Dic61C2411yescharacteristic
562C22×Dic61C2411yescharacteristic
563C22×Dic61C2411yescharacteristic
564C22×Dic61C2411yescharacteristic
565C22×Dic61C2411yescharacteristic
566C22×Dic61C2411yescharacteristic
567D4×D61—232no—
568C2×D244—22no—
569C2×D244—22no—
570C2×D244—22no—
571C2×C4×D61—22no—
572C2×C4×D61—22no—
573C2×C4×D61—22no—
574C2×C4×D61—22no—
575C2×C4×D61—22no—
576C2×C4×D61—22no—
577C2×C4×D61—22no—
578C2×C4×D61—22no—
579C2×C4×D61—22no—
580C2×C4×D61—22no—
581C2×C4×D61—22no—
582C2×C4×D61—22no—
583C2×C4×D61—22no—
584C2×C4×D61—22no—
585C2×C4×D61—22no—
586C2×C4×D61—22no—
587C2×C4×D61—22no—
588C2×C4×D61—22no—
589C2×C4×D61—22no—
590C2×C4×D61—22no—
591C2×C4×D61—22no—
592C2×C4×D61—416no—
593C2×C4×D61—416no—
594C2×C4×D61—41no—
595C2×C4×D61—41no—
596C2×C4×D61—41no—
597C2×C4×D61—41no—
598C2×C4×D61—41no—
599C2×C4×D61C2×D414yes—
600C4⋊C4×C61—22no—
601C4⋊C4×C61—22no—
602C4⋊C4×C61—22no—
603C4⋊C4×C61—22no—
604C4⋊C4×C61—22no—
605C4⋊C4×C61C2×D414yescomplemented
606C22⋊C4×C61—22no—
607C22⋊C4×C61—22no—
608C22⋊C4×C61—22no—
609C22⋊C4×C61—22no—
610C22⋊C4×C61—22no—
611C22⋊C4×C61—22no—
612C22⋊C4×C61—22no—
613C22⋊C4×C61—22no—
614C22⋊C4×C61C2×D414yes—
615C22⋊C4×C61C2×D414yescomplemented
616C42×C61—22no—
617C42×C61C2×D414yescomplemented
618C22⋊Dic61—22no—
619C22⋊Dic61—22no—
620C22⋊Dic61—22no—
621C22⋊Dic61—22no—
622C22⋊Dic61—22no—
623C22⋊Dic61—22no—
624C22⋊Dic61—22no—
625C22⋊Dic61—22no—
626C22⋊Dic61—22no—
627C22⋊Dic61—22no—
628C22⋊Dic61—22no—
629C22⋊Dic61—22no—
630C22⋊Dic61—22no—
631C22⋊Dic61—22no—
632C22⋊Dic61—22no—
633C22⋊Dic61—22no—
634C22⋊Dic61—22no—
635C22⋊Dic61—22no—
636C22⋊Dic61—41no—
637C22⋊Dic61—41no—
638C22⋊Dic61—41no—
639C22⋊Dic61—41no—
640C22⋊Dic61C2×D414yescomplemented
641#11758198—22no—
642#11758198—22no—
643#11758198—22no—
644#11758198—22no—
645#11758198—22no—
646#11758198—22no—
647#11758198—22no—
648#11758198—22no—
649#11758198—22no—
650#11758198—22no—
651#11758198—22no—
652#11758198—22no—
653#11758198—22no—
654#11758198—22no—
655#11758198—22no—
656#11758198—41no—
657#11758198—41no—
658#11758198—41no—
659#11758198C2×D414yes—
660C4⋊Dic61—22no—
661C4⋊Dic61—22no—
662C4⋊Dic61—22no—
663C4⋊Dic61—22no—
664C4⋊Dic61—41no—
665#11758196—22no—
666#11758196—22no—
667#11758196—22no—
668#11758196—22no—
669#11758196—22no—
670#11758196—22no—
671#11758196—22no—
672#11758196—22no—
673#11758196—22no—
674#11758196—41no—
675#11758196—41no—
676#11758196—41no—
677#11758196C2×D414yescomplemented
678C4×Dic61—22no—
679C4×Dic61—22no—
680C4×Dic61—22no—
681C4×Dic61—22no—
682C4×Dic61—22no—
683C4×Dic61—22no—
684C4×Dic61—22no—
685C4×Dic61—22no—
686C4×Dic61C2×D414yescomplemented
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—28no—
692C23×C61—21no—
693C23×C61—21no—
694C23×C61—21no—
695C23×C61—21no—
696C23×C61—21no—
697C23×C61—21no—
698C23×C61—21no—
699C23×C61—21no—
700C23×C61—21no—
701C23×C61—21no—
702C23×C61—21no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—21no—
712C23×C61—21no—
713C23×C61—21no—
714C23×C61—21no—
715C23×C61—21no—
716C23×C61—21no—
717C23×C61—44no—
718C23×C61—44no—
719C23×C61—44no—
720C23×C61—44no—
721C23×C61—44no—
722C23×C61—44no—
723C23×C61C22×D412yes—
724C23×C61C22×D412yes—
725C23×C61C22×D412yes—
726C23×C61C2×#4112yes—
727C23×C61C2×#4112yes—
728C23×C61C2×#4112yes—
729C23×C61C2511yescharacteristic
730C22×D61—21no—
731C22×D61—21no—
732C22×D61—21no—
733C22×D61—21no—
734C22×D61—28no—
735C22×D61—28no—
736C22×D61—21no—
737C22×D61—21no—
738C22×D61—21no—
739C22×D61—21no—
740C22×D61—21no—
741C22×D61—21no—
742C22×D61—21no—
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—21no—
746C22×D61—21no—
747C22×D61—21no—
748C22×D61—28no—
749C22×D61—44no—
750C22×D61—44no—
751C22×D61—44no—
752C22×D61—44no—
753C22×D61—44no—
754C22×D61—44no—
755C22×D61—44no—
756C22×D61—44no—
757C22×D61—44no—
758C22×D61—44no—
759C22×D61—44no—
760C22×D61C22×D412yes—
761C22×D61C2×#4112yes—
762C22×D61C2×#4112yes—
763C22×D61C2×#4112yes—
764C22×D61C2×#4112yes—
765Q8×C61—44no—
766D4×C61—28no—
767D4×C61—44no—
768D4×C61—44no—
769D4×C61—44no—
770D4×C61—44no—
771D4×C61—44no—
772D4×C61—44no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—28no—
784C2×C4×C61—28no—
785C2×C4×C61—28no—
786C2×C4×C61—21no—
787C2×C4×C61—21no—
788C2×C4×C61—21no—
789C2×C4×C61—21no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—21no—
794C2×C4×C61—21no—
795C2×C4×C61—21no—
796C2×C4×C61—21no—
797C2×C4×C61—21no—
798C2×C4×C61—44no—
799C2×C4×C61—44no—
800C2×C4×C61—44no—
801C2×C4×C61—44no—
802C2×C4×C61—44no—
803C2×C4×C61C22×D412yes—
804C2×C4×C61C22×D412yes—
805C2×C4×C61C22×D412yes—
806C2×C4×C61C22×D412yes—
807C2×C4×C61C22×D412yes—
808C2×C4×C61C22×D412yes—
809C2×C4×C61C22×D412yes—
810C2×C4×C61H(5,𝔽2)12yes—
811C22⋊D61—28no—
812C22⋊D61—28no—
813C22⋊D61—28no—
814C22⋊D61—28no—
815C22⋊D61—28no—
816C22⋊D61—28no—
817C22⋊D61—44no—
818C22⋊D61—44no—
819C22⋊D61—44no—
820C22⋊D61—44no—
821C22⋊D61—44no—
822C2×Dic61—28no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—21no—
832C2×Dic61—21no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—21no—
836C2×Dic61—21no—
837C2×Dic61—21no—
838C2×Dic61—21no—
839C2×Dic61—21no—
840C2×Dic61—21no—
841C2×Dic61—21no—
842C2×Dic61—21no—
843C2×Dic61—21no—
844C2×Dic61—21no—
845C2×Dic61—21no—
846C2×Dic61—21no—
847C2×Dic61—21no—
848C2×Dic61—21no—
849C2×Dic61—21no—
850C2×Dic61—21no—
851C2×Dic61—21no—
852C2×Dic61—21no—
853C2×Dic61—21no—
854C2×Dic61—21no—
855C2×Dic61—21no—
856C2×Dic61—21no—
857C2×Dic61—44no—
858C2×Dic61—44no—
859C2×Dic61—44no—
860C2×Dic61C22×D412yes—
861C2×Dic61C22×D412yes—
862C2×Dic61C22×D412yes—
863C2×Dic61C2×#4112yes—
864C2×Dic61C2×#4112yes—
865D244—28no—
866C4×D61—28no—
867C4×D61—28no—
868C4×D61—44no—
869C4×D61—44no—
870C4×D61—44no—
871C4×D61—44no—
872C4×D61—44no—
873C4×D61—44no—
874C4×D61—44no—
875#34655—611nomaximal, Sylow
876C22×C61—22no—
877C22×C61—22no—
878C22×C61—22no—
879C22×C61—22no—
880C22×C61—22no—
881C22×C61—22no—
882C22×C61—22no—
883C22×C61—22no—
884C22×C61—22no—
885C22×C61—22no—
886C22×C61—22no—
887C22×C61—22no—
888C22×C61—22no—
889C22×C61—22no—
890C22×C61—22no—
891C22×C61—416no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61—41no—
896C22×C61—41no—
897C22×C61—41no—
898C22×C61—41no—
899C22×C61—41no—
900C22×C61—41no—
901C22×C61—41no—
902C22×C61—41no—
903C22×C61—41no—
904C22×C61—41no—
905C22×C61—41no—
906C22×C61—41no—
907C22×C61—41no—
908C22×C61—41no—
909C22×C61—41no—
910C22×C61—41no—
911C22×C61#52514yescomplemented
912C22×C61C23×D411yescharacteristic
913C22×C61C23×D411yescharacteristic
914C22×C61C22×#4111yescharacteristic
915C22×C61C22×#4111yescharacteristic
916C22×C61C22×#4111yescharacteristic
917C22×C61C2×H(5,𝔽2)11yescharacteristic
918C22×C61#58511yescharacteristic
919C2×D61—22no—
920C2×D61—22no—
921C2×D61—22no—
922C2×D61—22no—
923C2×D61—22no—
924C2×D61—22no—
925C2×D61—22no—
926C2×D61—22no—
927C2×D61—22no—
928C2×D61—22no—
929C2×D61—22no—
930C2×D61—22no—
931C2×D61—416no—
932C2×D61—416no—
933C2×D61—41no—
934C2×D61—41no—
935C2×D61—41no—
936C2×D61—41no—
937C2×D61—41no—
938C2×D61—41no—
939C2×D61—41no—
940C2×D61—41no—
941C2×D61#52514yescomplemented
942C4×C61—22no—
943C4×C61—22no—
944C4×C61—22no—
945C4×C61—22no—
946C4×C61—22no—
947C4×C61—41no—
948C4×C61—41no—
949C4×C61—41no—
950C4×C61—41no—
951C4×C61D4214yes—
952Dic61—22no—
953Dic61—22no—
954Dic61—22no—
955Dic61—22no—
956Dic61—22no—
957Dic61—41no—
958Dic61—41no—
959Dic61—41no—
960Dic61—41no—
961Dic61—41no—
962Dic61—41no—
963Dic61—41no—
964Dic61—41no—
965C2×#525—611no—
966C2×#525D6111yescharacteristic, complemented
967C22×C4×D4—611no—
968C22×C4×D4—611no—
969#2463—611no—
970#2456—611no—
971#2456—611no—
972#2455—611no—
973#2449—611no—
974#2449—611no—
975#2443—611no—
976#2443—611no—
977#2437—611no—
978#2424—611no—
979#2424—611no—
980#2418—611no—
981#2418—611no—
982#2410—611no—
983#2410—611no—
984#2403—611no—
985#2397—611no—
986#2392—611no—
987#2392—611no—
988#2388—611no—
989C4×#121—611no—
990C4×#121—611no—
991C4×#120—611no—
992C4×#120—611no—
993C4×#120—611no—
994#2290—611no—
995#2290—611no—
996C2×C61—24no—
997C2×C61—42no—
998C2×C61—42no—
999C2×C61—42no—
1000C2×C61—81no—
1001C2×C61C2×#52511yescharacteristic
1002C2×C61C2×#52511yescharacteristic
1003C2×C61#345911yescharacteristic
1004C2×C61C2×D4211yescharacteristic
1005C2×C61D4×#4111yescharacteristic
1006C2×C61D4×#4111yescharacteristic
1007C2×C61#348111yescharacteristic
1008D61—24no—
1009D61—42no—
1010D61—42no—
1011C22×#41C2×D6111yescharacteristic, complemented
1012C23×D4—611no—
1013C23×D4—611no—
1014C24×C4—611no—
1015C24×C4—611no—
1016C24×C4C2×D6111yescharacteristic, complemented
1017#525—28no—
1018#525—1228no—
1019C2×#123—611no—
1020C2×#123—611no—
1021C2×#123C2×D6111yescharacteristic, complemented
1022C2×#123C2×D6111yescharacteristic, complemented
1023C2×C22⋊Q8—611no—
1024C2×C22⋊Q8—611no—
1025C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1026C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1027C2×#121—611no—
1028C2×#121—611no—
1029C2×#121—611no—
1030C2×#121—611no—
1031C2×#121C2×D6111yescharacteristic
1032C2×#121C2×D6111yescharacteristic, complemented
1033C2×#120—611no—
1034C2×#120—611no—
1035C2×#120—611no—
1036C2×#120—611no—
1037C2×#120—611no—
1038C2×#120C2×D6111yescharacteristic
1039C2×#120C2×D6111yescharacteristic, complemented
1040C2×C4×D4—611no—
1041C2×C4×D4—611no—
1042C2×C4×D4—611no—
1043C2×C4×D4—611no—
1044C2×C4×D4—611no—
1045C2×C4×D4—611no—
1046C2×C4×D4—611no—
1047C2×C4×D4—611no—
1048C2×C4×D4—611no—
1049C2×C4×D4—611no—
1050C2×C4×D4—611no—
1051C2×C4×D4—611no—
1052C2×C4×D4—611no—
1053C2×C4×D4—611no—
1054C2×C4×D4—611no—
1055C2×C4×D4—611no—
1056C2×C4×D4—611no—
1057C2×C4×D4—611no—
1058C2×C4×D4—611no—
1059C2×C4×D4—611no—
1060C2×C4×D4—1228no—
1061C2×C4×D4—1228no—
1062C2×C4×D4C2×D6111yescharacteristic
1063C2×C4×D4C2×D6111yescharacteristic, complemented
1064C2×C4×D4C2×D6111yescharacteristic, complemented
1065C2×C4×D4C2×D6111yescharacteristic, complemented
1066C2×#117—611no—
1067C2×#117C2×D6111yescharacteristic, complemented
1068C22×C4⋊C4—611no—
1069C22×C4⋊C4—611no—
1070C22×C22⋊C4—611no—
1071C22×C22⋊C4—611no—
1072C22×C22⋊C4—611no—
1073C22×C22⋊C4—611no—
1074C22×C42—611no—
1075C22×C42—611no—
1076#399—611no—
1077#399—611no—
1078#399—611no—
1079#399—611no—
1080#398—611no—
1081#398—611no—
1082#397—611no—
1083#397—611no—
1084#396—611no—
1085#396—611no—
1086#396—611no—
1087#396—611no—
1088#395—611no—
1089#394—611no—
1090#394—611no—
1091#394—611no—
1092#394—611no—
1093#394—611no—
1094#394—611no—
1095#394—611no—
1096#394—611no—
1097#394—611no—
1098#393—611no—
1099#392—611no—
1100#392—611no—
1101#392—611no—
1102#392—611no—
1103#392—611no—
1104#392—611no—
1105#392—611no—
1106#392—611no—
1107#392—611no—
1108#390—611no—
1109#390—611no—
1110#389—611no—
1111#389—611no—
1112#388—611no—
1113#388—611no—
1114#388—611no—
1115#388—611no—
1116#388—611no—
1117#388—611no—
1118#388—611no—
1119#388—611no—
1120#387—611no—
1121#387—611no—
1122#387—611no—
1123#387—611no—
1124#386—611no—
1125#386—611no—
1126#386—611no—
1127#386—611no—
1128#386—611no—
1129#386—611no—
1130#386—611no—
1131#386—611no—
1132#386—611no—
1133#386—611no—
1134#386—611no—
1135#386—611no—
1136#386—611no—
1137#386—611no—
1138#386—611no—
1139#386—611no—
1140#386—611no—
1141#385—611no—
1142#385—611no—
1143#385—611no—
1144#385—611no—
1145#385—611no—
1146#385—611no—
1147#385—611no—
1148#385—611no—
1149#385—611no—
1150#385—611no—
1151#385—611no—
1152#385—611no—
1153#385—611no—
1154#380—611no—
1155#380—611no—
1156#379—611no—
1157#379—611no—
1158#379—611no—
1159C4×C4⋊C4—611no—
1160C4×C4⋊C4—611no—
1161C4×C22⋊C4—611no—
1162C4×C22⋊C4—611no—
1163C4×C22⋊C4—611no—
1164C4×C22⋊C4—611no—
1165C4×C22⋊C4—611no—
1166C4×C22⋊C4—611no—
1167C4×C22⋊C4—611no—
1168C4×C22⋊C4—611no—
1169#376—611no—
1170C61#3465511yescharacteristic, complemented, Sylow
1171C25—611no—
1172C25—611no—
1173C25C22×D6111yescharacteristic
1174C2×#41—24no—
1175C2×#41—24no—
1176C2×#41—42no—
1177C22×Q8C22×D6111yescharacteristic
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—611no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4—1224no—
1191C22×D4—1224no—
1192C22×D4—1224no—
1193C22×D4—1224no—
1194C22×D4—1224no—
1195C22×D4—1224no—
1196C22×D4C22×D6111yescharacteristic
1197C22×D4C22×D6111yescharacteristic
1198C22×D4C22×D6111yescharacteristic
1199C22×D4C22×D6111yescharacteristic
1200C22×D4C22×D6111yescharacteristic
1201C22×D4C22×D6111yescharacteristic
1202C22×D4C22×D6111yescharacteristic
1203C23×C4—24no—
1204C23×C4—24no—
1205C23×C4—42no—
1206C23×C4—611no—
1207C23×C4—611no—
1208C23×C4—611no—
1209C23×C4—611no—
1210C23×C4—611no—
1211C23×C4—611no—
1212C23×C4—611no—
1213C23×C4—611no—
1214C23×C4—611no—
1215C23×C4—611no—
1216C23×C4—611no—
1217C23×C4—611no—
1218C23×C4—611no—
1219C23×C4—1224no—
1220C23×C4—1224no—
1221C23×C4—1224no—
1222C23×C4—1224no—
1223C23×C4—2442no—
1224C23×C4—2442no—
1225C23×C4C22×D6111yescharacteristic
1226C23×C4C22×D6111yescharacteristic
1227C23×C4C22×D6111yescharacteristic
1228C23×C4C22×D6111yescharacteristic
1229C23×C4C22×D6111yescharacteristic
1230C23×C4C22×D6111yescharacteristic
1231C23×C4C22×D6111yescharacteristic
1232C23×C4C22×D6111yescharacteristic
1233#123—24no—
1234#123—24no—
1235#123—1224no—
1236#123—1224no—
1237C22⋊Q8—24no—
1238C22⋊Q8—24no—
1239C22⋊Q8—1224no—
1240C22⋊Q8—1224no—
1241#121—24no—
1242#121—24no—
1243#121—1224no—
1244#121—1224no—
1245#121—1224no—
1246#121—1224no—
1247#120—24no—
1248#120—24no—
1249#120—1224no—
1250#120—1224no—
1251#120—1224no—
1252#120—1224no—
1253#120—1224no—
1254C4×D4—24no—
1255C4×D4—24no—
1256C4×D4—24no—
1257C4×D4—618no—
1258C4×D4—1224no—
1259C4×D4—1224no—
1260C4×D4—1224no—
1261C4×D4—1224no—
1262C4×D4—1224no—
1263C4×D4—1224no—
1264C4×D4—1224no—
1265C4×D4—1224no—
1266C4×D4—1224no—
1267C4×D4—1224no—
1268C4×D4—1224no—
1269C4×D4—1224no—
1270C4×D4—1224no—
1271C4×D4—1224no—
1272C4×D4—1224no—
1273C4×D4—1224no—
1274C4×D4—1224no—
1275C4×D4—2442no—
1276C4×D4—2442no—
1277C4×D4C22⋊D6118yescomplemented
1278#117—24no—
1279#117—1224no—
1280C2×C4⋊C4—611no—
1281C2×C4⋊C4—611no—
1282C2×C4⋊C4—611no—
1283C2×C4⋊C4—611no—
1284C2×C4⋊C4—611no—
1285C2×C4⋊C4—611no—
1286C2×C4⋊C4—611no—
1287C2×C4⋊C4—611no—
1288C2×C4⋊C4—611no—
1289C2×C4⋊C4—611no—
1290C2×C4⋊C4—611no—
1291C2×C4⋊C4—611no—
1292C2×C4⋊C4—611no—
1293C2×C4⋊C4—611no—
1294C2×C4⋊C4—611no—
1295C2×C4⋊C4—611no—
1296C2×C4⋊C4—611no—
1297C2×C4⋊C4—611no—
1298C2×C4⋊C4—1224no—
1299C2×C4⋊C4—1224no—
1300C2×C4⋊C4C22×D6111yescharacteristic
1301C2×C4⋊C4C22×D6111yescharacteristic
1302C2×C4⋊C4C22×D6111yescharacteristic
1303C2×C4⋊C4C22×D6111yescharacteristic
1304C2×C4⋊C4C22×D6111yescharacteristic
1305C2×C4⋊C4C22×D6111yescharacteristic
1306C2×C22⋊C4—611no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—611no—
1309C2×C22⋊C4—611no—
1310C2×C22⋊C4—611no—
1311C2×C22⋊C4—611no—
1312C2×C22⋊C4—611no—
1313C2×C22⋊C4—611no—
1314C2×C22⋊C4—611no—
1315C2×C22⋊C4—611no—
1316C2×C22⋊C4—611no—
1317C2×C22⋊C4—611no—
1318C2×C22⋊C4—611no—
1319C2×C22⋊C4—611no—
1320C2×C22⋊C4—611no—
1321C2×C22⋊C4—611no—
1322C2×C22⋊C4—611no—
1323C2×C22⋊C4—611no—
1324C2×C22⋊C4—611no—
1325C2×C22⋊C4—611no—
1326C2×C22⋊C4—611no—
1327C2×C22⋊C4—611no—
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—611no—
1331C2×C22⋊C4—611no—
1332C2×C22⋊C4—611no—
1333C2×C22⋊C4—611no—
1334C2×C22⋊C4—611no—
1335C2×C22⋊C4—611no—
1336C2×C22⋊C4—611no—
1337C2×C22⋊C4—611no—
1338C2×C22⋊C4—611no—
1339C2×C22⋊C4—611no—
1340C2×C22⋊C4—611no—
1341C2×C22⋊C4—611no—
1342C2×C22⋊C4—611no—
1343C2×C22⋊C4—611no—
1344C2×C22⋊C4—611no—
1345C2×C22⋊C4—611no—
1346C2×C22⋊C4—611no—
1347C2×C22⋊C4—611no—
1348C2×C22⋊C4—1224no—
1349C2×C22⋊C4—1224no—
1350C2×C22⋊C4—1224no—
1351C2×C22⋊C4—1224no—
1352C2×C22⋊C4C22×D6111yescharacteristic
1353C2×C22⋊C4C22×D6111yescharacteristic
1354C2×C22⋊C4C22×D6111yescharacteristic
1355C2×C22⋊C4C22×D6111yescharacteristic
1356C2×C22⋊C4C22×D6111yescharacteristic
1357C2×C22⋊C4C22×D6111yescharacteristic
1358C2×C22⋊C4C22×D6111yescharacteristic
1359C2×C22⋊C4C22×D6111yescharacteristic
1360C2×C22⋊C4C22×D6111yescharacteristic
1361C2×C22⋊C4C22×D6111yescharacteristic
1362C2×C42—611no—
1363C2×C42—611no—
1364C2×C42—611no—
1365C2×C42—611no—
1366C2×C42—611no—
1367C2×C42—611no—
1368C2×C42—611no—
1369C2×C42—611no—
1370C2×C42—611no—
1371C2×C42—1224no—
1372C2×C42—1224no—
1373C2×C42C22×D6111yescharacteristic
1374C2×C42C22×D6111yescharacteristic
1375#95—611no—
1376#95—611no—
1377#95—611no—
1378#95—611no—
1379#95—611no—
1380#95—611no—
1381#95—611no—
1382#95—611no—
1383#95—611no—
1384#95—611no—
1385#95—611no—
1386#95—611no—
1387#95—611no—
1388#95—611no—
1389#95—611no—
1390#95—611no—
1391#95—611no—
1392#95—611no—
1393#95—611no—
1394#95—611no—
1395#95—611no—
1396#95—611no—
1397#95—611no—
1398#95—611no—
1399C24—22no—
1400C24—22no—
1401C24—22no—
1402C24—22no—
1403C24—22no—
1404C24—41no—
1405C24—41no—
1406C24—611no—
1407C24—611no—
1408C24—611no—
1409C24—614no—
1410C24—1222no—
1411C24—1222no—
1412C24—1222no—
1413C24—1222no—
1414C24—1222no—
1415C24—1222no—
1416C24—1222no—
1417C24—1222no—
1418C24—1222no—
1419C24—2441no—
1420C24—2441no—
1421C24—2441no—
1422C24—2441no—
1423C24C23×D6111yescharacteristic
1424C24C23×D6111yescharacteristic
1425C24C23×D6111yescharacteristic
1426C24C23×D6111yescharacteristic
1427C24C23×D6111yescharacteristic
1428#41—416no—
1429C2×Q8—22no—
1430C2×Q8—22no—
1431C2×Q8—41no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—22no—
1440C2×D4—22no—
1441C2×D4—22no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—41no—
1448C2×D4—41no—
1449C2×D4—41no—
1450C2×D4—41no—
1451C2×D4—41no—
1452C2×D4—614no—
1453C2×D4—614no—
1454C2×D4—614no—
1455C2×D4—1222no—
1456C2×D4—1222no—
1457C2×D4—1222no—
1458C2×D4—1222no—
1459C2×D4—1222no—
1460C2×D4—1222no—
1461C2×D4—12232no—
1462C2×D4—1222no—
1463C2×D4—1222no—
1464C2×D4—1222no—
1465C2×D4—1222no—
1466C2×D4—1222no—
1467C2×D4—1222no—
1468C2×D4—1222no—
1469C2×D4—12232no—
1470C2×D4—1222no—
1471C2×D4—1222no—
1472C2×D4—1222no—
1473C2×D4—1222no—
1474C2×D4—1222no—
1475C2×D4—1222no—
1476C2×D4—1222no—
1477C2×D4—1222no—
1478C2×D4—1222no—
1479C2×D4—1222no—
1480C2×D4—1222no—
1481C2×D4—1222no—
1482C2×D4—1222no—
1483C2×D4—1222no—
1484C2×D4—1222no—
1485C2×D4—2441no—
1486C2×D4—2441no—
1487C2×D4—2441no—
1488C2×D4—2441no—
1489C2×D4—2441no—
1490C2×D4C2×C22⋊D6114yes—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—41no—
1512C22×C4—416no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—611no—
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—614no—
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×C4—1222no—
1528C22×C4—1222no—
1529C22×C4—1222no—
1530C22×C4—1222no—
1531C22×C4—1222no—
1532C22×C4—1222no—
1533C22×C4—1222no—
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—2441no—
1558C22×C4—2441no—
1559C22×C4—2441no—
1560C22×C4—2441no—
1561C22×C4—2441no—
1562C22×C4—24416no—
1563C22×C4—24416no—
1564C22×C4—2441no—
1565C22×C4—2441no—
1566C22×C4—2441no—
1567C22×C4D4×D6114yescomplemented
1568C22×C4C2×C22⋊D6114yes—
1569C22×C4C2×C22⋊D6114yescomplemented
1570C22×C4C23×D6111yescharacteristic
1571C22×C4C23×D6111yescharacteristic
1572C22×C4C23×D6111yescharacteristic
1573C22×C4C23×D6111yescharacteristic
1574C22×C4C23×D6111yescharacteristic
1575C22×C4C23×D6111yescharacteristic
1576C22×C4C23×D6111yescharacteristic
1577C22×C4C23×D6111yescharacteristic
1578C22×C4C23×D6111yescharacteristic
1579C22×C4C23×D6111yescharacteristic
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—22no—
1585C4⋊C4—614no—
1586C4⋊C4—1222no—
1587C4⋊C4—1222no—
1588C4⋊C4—1222no—
1589C4⋊C4—1222no—
1590C4⋊C4—1222no—
1591C4⋊C4—1222no—
1592C4⋊C4—1222no—
1593C4⋊C4—1222no—
1594C4⋊C4—1222no—
1595C4⋊C4—1222no—
1596C4⋊C4—1222no—
1597C4⋊C4—1222no—
1598C4⋊C4—1222no—
1599C4⋊C4—2441no—
1600C4⋊C4—2441no—
1601C4⋊C4—2441no—
1602C4⋊C4—2441no—
1603C4⋊C4C2×C22⋊D6114yescomplemented
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—614no—
1613C22⋊C4—614no—
1614C22⋊C4—1222no—
1615C22⋊C4—1222no—
1616C22⋊C4—1222no—
1617C22⋊C4—1222no—
1618C22⋊C4—1222no—
1619C22⋊C4—1222no—
1620C22⋊C4—1222no—
1621C22⋊C4—1222no—
1622C22⋊C4—1222no—
1623C22⋊C4—1222no—
1624C22⋊C4—1222no—
1625C22⋊C4—1222no—
1626C22⋊C4—1222no—
1627C22⋊C4—1222no—
1628C22⋊C4—1222no—
1629C22⋊C4—1222no—
1630C22⋊C4—1222no—
1631C22⋊C4—1222no—
1632C22⋊C4—1222no—
1633C22⋊C4—1222no—
1634C22⋊C4—1222no—
1635C22⋊C4—1222no—
1636C22⋊C4—1222no—
1637C22⋊C4—1222no—
1638C22⋊C4—1222no—
1639C22⋊C4—1222no—
1640C22⋊C4—1222no—
1641C22⋊C4—1222no—
1642C22⋊C4—1222no—
1643C22⋊C4—1222no—
1644C22⋊C4—1222no—
1645C22⋊C4—1222no—
1646C22⋊C4—1222no—
1647C22⋊C4—2441no—
1648C22⋊C4—2441no—
1649C22⋊C4—2441no—
1650C22⋊C4—2441no—
1651C22⋊C4—2441no—
1652C22⋊C4—2441no—
1653C22⋊C4—2441no—
1654C22⋊C4C2×C22⋊D6114yes—
1655C22⋊C4C2×C22⋊D6114yescomplemented
1656C42—22no—
1657C42—614no—
1658C42—1222no—
1659C42—1222no—
1660C42—1222no—
1661C42—1222no—
1662C42—1222no—
1663C42—1222no—
1664C42—1222no—
1665C42—1222no—
1666C42C2×C22⋊D6114yescomplemented
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—28no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—44no—
1698C23—44no—
1699C23—44no—
1700C23—44no—
1701C23—44no—
1702C23—44no—
1703C23—612no—
1704C23—612no—
1705C23—612no—
1706C23—612no—
1707C23—612no—
1708C23—1228no—
1709C23—1228no—
1710C23—1221no—
1711C23—1221no—
1712C23—1221no—
1713C23—1221no—
1714C23—1228no—
1715C23—1221no—
1716C23—1221no—
1717C23—1221no—
1718C23—1221no—
1719C23—1221no—
1720C23—1221no—
1721C23—1221no—
1722C23—1221no—
1723C23—1221no—
1724C23—1221no—
1725C23—1221no—
1726C23—1221no—
1727C23—2444no—
1728C23—2444no—
1729C23—2444no—
1730C23—2444no—
1731C23—2444no—
1732C23—2444no—
1733C23—2444no—
1734C23—2444no—
1735C23—2444no—
1736C23—2444no—
1737C23—2444no—
1738C23C2×D4×D6112yes—
1739C23C22×C22⋊D6112yes—
1740C23C22×C22⋊D6112yes—
1741C23#41×D6112yes—
1742C23#41×D6112yes—
1743C23#41×D6112yes—
1744C23C24×D6111yescharacteristic
1745Q8—44no—
1746D4—28no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—44no—
1753D4—1228no—
1754D4—1228no—
1755D4—1228no—
1756D4—1228no—
1757D4—1228no—
1758D4—1228no—
1759D4—1228no—
1760D4—2444no—
1761D4—2444no—
1762D4—2444no—
1763D4—2444no—
1764D4—2444no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—28no—
1776C2×C4—28no—
1777C2×C4—28no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—44no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—612no—
1796C2×C4—612no—
1797C2×C4—612no—
1798C2×C4—612no—
1799C2×C4—612no—
1800C2×C4—1228no—
1801C2×C4—1228no—
1802C2×C4—1221no—
1803C2×C4—1221no—
1804C2×C4—1221no—
1805C2×C4—1221no—
1806C2×C4—1221no—
1807C2×C4—1221no—
1808C2×C4—1221no—
1809C2×C4—1221no—
1810C2×C4—1221no—
1811C2×C4—1221no—
1812C2×C4—1228no—
1813C2×C4—1221no—
1814C2×C4—1221no—
1815C2×C4—1221no—
1816C2×C4—1221no—
1817C2×C4—1221no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—1221no—
1821C2×C4—1221no—
1822C2×C4—1221no—
1823C2×C4—1221no—
1824C2×C4—1221no—
1825C2×C4—1221no—
1826C2×C4—1221no—
1827C2×C4—1221no—
1828C2×C4—1221no—
1829C2×C4—1221no—
1830C2×C4—1221no—
1831C2×C4—1221no—
1832C2×C4—1221no—
1833C2×C4—1221no—
1834C2×C4—1221no—
1835C2×C4—1221no—
1836C2×C4—1221no—
1837C2×C4—2444no—
1838C2×C4—2444no—
1839C2×C4—2444no—
1840C2×C4—2444no—
1841C2×C4—2444no—
1842C2×C4—2444no—
1843C2×C4—2444no—
1844C2×C4—2444no—
1845C2×C4—2444no—
1846C2×C4—2444no—
1847C2×C4C2×D4×D6112yes—
1848C2×C4C2×D4×D6112yes—
1849C2×C4C22×C22⋊D6112yes—
1850C2×C4C22×C22⋊D6112yes—
1851C2×C4C22×C22⋊D6112yes—
1852C2×C4C22×C22⋊D6112yes—
1853C2×C4C22×C22⋊D6112yes—
1854C2×C4#1451982212yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—416no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—614no—
1891C22—1222no—
1892C22—1222no—
1893C22—1222no—
1894C22—1222no—
1895C22—1222no—
1896C22—1222no—
1897C22—1222no—
1898C22—1222no—
1899C22—1222no—
1900C22—1222no—
1901C22—1222no—
1902C22—1222no—
1903C22—24416no—
1904C22—24416no—
1905C22—2441no—
1906C22—2441no—
1907C22—2441no—
1908C22—2441no—
1909C22—2441no—
1910C22—2441no—
1911C22—2441no—
1912C22—2441no—
1913C22#1684026914yescomplemented
1914C22C22×D4×D6111yescharacteristic
1915C22C23×C22⋊D6111yescharacteristic
1916C22C2×#41×D6111yescharacteristic
1917C22C2×#41×D6111yescharacteristic
1918C22C2×#41×D6111yescharacteristic
1919C22C2×#1451982211yescharacteristic
1920C22#1684059811yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—1222no—
1931C4—1222no—
1932C4—1222no—
1933C4—1222no—
1934C4—1222no—
1935C4—2441no—
1936C4—2441no—
1937C4—2441no—
1938C4—2441no—
1939C4—2441no—
1940C4—2441no—
1941C4—2441no—
1942C4—2441no—
1943C4D4×C22⋊D6114yes—
1944C2—24no—
1945C2—42no—
1946C2—42no—
1947C2—42no—
1948C2—81no—
1949C2—1224no—
1950C2—2442no—
1951C2—2442no—
1952C2#525×D6111yescharacteristic
1953C2C2×#1684026911yescharacteristic
1954C2#2145922611yescharacteristic
1955C2C2×D4×C22⋊D6111yescharacteristic
1956C2#2145930211yescharacteristic
1957C2#41×C22⋊D6111yescharacteristic
1958C2#2145942111yescharacteristic
subgroupG/H
centerC22×C4C23×D61
commutator, socle, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC2×C61×#525C2
hypercenterC2×#525D61
hypocenterC61#34655
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#16840269C2semidirect
2. C22×C4×C22⋊D61C2semidirect
3. C2×C4×D4×D61C2semidirect
4. #21449812C2semidirect
5. #21449716C2semidirect
6. #21449707C2semidirect
7. #21449698C2semidirect
8. #21449625C2semidirect
9. #21449624C2semidirect
10. #21449551C2semidirect
11. #21449550C2semidirect
12. #21449482C2semidirect
13. #21449352C2semidirect
14. #21449351C2semidirect
15. #21449278C2semidirect
16. #21449277C2semidirect
17. #21449190C2semidirect
18. #21449189C2semidirect
19. #21449130C2semidirect
20. #21449098C2semidirect
21. #21449061C2semidirect
22. #21449055C2semidirect
23. #21449032C2semidirect
24. C4×#14519749C2semidirect
25. C4×#14519748C2semidirect
26. C4×#14519746C2semidirect
27. C4×#14519745C2semidirect
28. C4×#14519745C2semidirect
29. #21448264C2semidirect
30. #21448256C2semidirect
31. C2×C61×#525C2semidirect
35. C23×C4×D61C22semidirect
37. C2×#14519758C22semidirect
38. C2×#14519758C22semidirect
39. C2×#14519753C22semidirect
40. C2×#14519753C22semidirect
44. C2×#14519748C22semidirect
49. C2×#14519745C22semidirect
50. C2×C4×D244C22semidirect
52. C2×#14519739C22semidirect
59. C2×C4×C22⋊D61C22semidirect
60. C2×C4×C22⋊D61C22semidirect
61. C2×C4×C22⋊D61C22semidirect
62. C2×C4×C22⋊D61C22semidirect
63. C2×C4×C22⋊D61C22semidirect
64. C2×C4×C22⋊D61C22semidirect
65. C2×C4×C22⋊D61C22semidirect
66. C2×C4×C22⋊D61C22semidirect
67. C2×C4×C22⋊D61C22semidirect
68. C2×C4×C22⋊D61C22semidirect
70. C2×#14519737C22semidirect
72. C2×#14519736C22semidirect
73. C22×#11758196C22semidirect
74. C2×C4⋊C4×D61C22semidirect
75. C22×C22⋊Dic61C22semidirect
78. C2×C22⋊C4×D61C22semidirect
79. C22×C4×Dic61C22semidirect
80. C2×C42×D61C22semidirect
81. #16839698C22semidirect
82. #16839698C22semidirect
83. #16839697C22semidirect
84. #16839697C22semidirect
85. #16839695C22semidirect
86. #16839692C22semidirect
87. #16839690C22semidirect
88. #16839687C22semidirect
89. #16839685C22semidirect
90. #16839684C22semidirect
91. #16839684C22semidirect
92. #16839684C22semidirect
93. #16839681C22semidirect
94. #16839679C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
98. #16839677C22semidirect
99. #16839676C22semidirect
100. #16839676C22semidirect
101. #16839676C22semidirect
102. #16839676C22semidirect
103. #16839673C22semidirect
106. #16839671C22semidirect
109. #16839670C22semidirect
110. #16839670C22semidirect
111. #16839670C22semidirect
112. #16839670C22semidirect
113. #16839665C22semidirect
114. #16839662C22semidirect
115. #16839658C22semidirect
116. #16839657C22semidirect
117. #16839656C22semidirect
118. #16839655C22semidirect
119. #16839655C22semidirect
120. #16839652C22semidirect
121. #16839650C22semidirect
122. #16839650C22semidirect
123. #16839650C22semidirect
124. #16839650C22semidirect
125. #16839648C22semidirect
126. #16839648C22semidirect
127. #16839643C22semidirect
128. #16839643C22semidirect
131. #16839642C22semidirect
132. #16839642C22semidirect
133. #16839642C22semidirect
135. #16839641C22semidirect
136. #16839641C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839637C22semidirect
147. #16839637C22semidirect
148. #16839635C22semidirect
149. #16839635C22semidirect
150. #16839635C22semidirect
151. #16839634C22semidirect
152. #16839634C22semidirect
153. #16839633C22semidirect
154. #16839633C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839620C22semidirect
160. #16839619C22semidirect
161. #16839618C22semidirect
163. #16839617C22semidirect
164. C4×#11758196C22semidirect
165. C4×C4⋊Dic61C22semidirect
166. C4×#11758198C22semidirect
167. C4×#11758198C22semidirect
168. C4×#11758198C22semidirect
169. C4×C22⋊Dic61C22semidirect
170. C4×C22⋊Dic61C22semidirect
171. C4×C22⋊Dic61C22semidirect
172. C4×C22⋊Dic61C22semidirect
173. C4×C22⋊Dic61C22semidirect
174. #16839608C22semidirect
175. C22×#41×C61C22semidirect
176. C24×C4×C61C22semidirect
178. C2×#123×C61C22semidirect
179. C2×#123×C61C22semidirect
180. C2×C22⋊Q8×C61C22semidirect
181. C2×C22⋊Q8×C61C22semidirect
183. C2×#121×C61C22semidirect
185. C2×#120×C61C22semidirect
187. C2×C4×D4×C61C22semidirect
188. C2×C4×D4×C61C22semidirect
189. C2×C4×D4×C61C22semidirect
190. C2×#117×C61C22semidirect
260. C4×C22⋊D61D4semidirect
399. C4×D4×C61D4semidirect
444. C23×D61#41semidirect
496. C22×C4×C61C2×D4semidirect
497. C22×C4×C61C2×D4semidirect
540. C2×C22⋊D61#41semidirect
541. C2×C22⋊D61#41semidirect
605. C4⋊C4×C61C2×D4semidirect
615. C22⋊C4×C61C2×D4semidirect
617. C42×C61C2×D4semidirect
640. C22⋊Dic61C2×D4semidirect
677. #11758196C2×D4semidirect
686. C4×Dic61C2×D4semidirect
911. C22×C61#525semidirect
941. C2×D61#525semidirect
966. C2×#525D61semidirect
1011. C22×#41C2×D61semidirect
1016. C24×C4C2×D61semidirect
1021. C2×#123C2×D61semidirect
1022. C2×#123C2×D61semidirect
1025. C2×C22⋊Q8C2×D61semidirect
1026. C2×C22⋊Q8C2×D61semidirect
1032. C2×#121C2×D61semidirect
1039. C2×#120C2×D61semidirect
1063. C2×C4×D4C2×D61semidirect
1064. C2×C4×D4C2×D61semidirect
1065. C2×C4×D4C2×D61semidirect
1067. C2×#117C2×D61semidirect
1170. C61#34655semidirect
1277. C4×D4C22⋊D61semidirect
1567. C22×C4D4×D61semidirect
1569. C22×C4C2×C22⋊D61semidirect
1603. C4⋊C4C2×C22⋊D61semidirect
1655. C22⋊C4C2×C22⋊D61semidirect
1666. C42C2×C22⋊D61semidirect
1913. C22#16840269semidirect

Maximal subgroups

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

subgroupindex
C2×#168402692
C22×C4×C22⋊D612
C2×C4×D4×D612
#214498122
#214497162
#214497072
#214496982
#214496252
#214496242
#214495512
#214495502
#214494822
#214493522
#214493512
#214492782
#214492772
#214491902
#214491892
#214491302
#214490982
#214490612
#214490552
#214490322
C4×#145197492
C4×#145197482
C4×#145197462
C4×#145197452
#214482642
#214482562
C2×C61×#5252
#3465561