Finite Group Databasebeta

← #29852562

Subgroups — #29852562

Order 15616.

4046 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840387C211yesmaximal, characteristic, complemented
2C22×C22⋊C4×D61C211yesmaximal, characteristic
3#21454107C211yesmaximal, characteristic, complemented
4#21454105C211yesmaximal, characteristic, complemented
5#21454105C211yesmaximal, characteristic, complemented
6#21454103C211yesmaximal, characteristic, complemented
7#21451629C211yesmaximal, characteristic, complemented
8#21451629C211yesmaximal, characteristic, complemented
9#21451625C211yesmaximal, characteristic, complemented
10#21451623C211yesmaximal, characteristic, complemented
11#21449487C211yesmaximal, characteristic, complemented
12#21449487C211yesmaximal, characteristic, complemented
13#21449486C211yesmaximal, characteristic, complemented
14#21449485C211yesmaximal, characteristic, complemented
15#21449484C211yesmaximal, characteristic, complemented
16#21449484C211yesmaximal, characteristic, complemented
17#21449483C211yesmaximal, characteristic, complemented
18#21449483C211yesmaximal, characteristic, complemented
19#21449482C211yesmaximal, characteristic, complemented
20#21449482C211yesmaximal, characteristic, complemented
21#21449481C211yesmaximal, characteristic, complemented
22#21449481C211yesmaximal, characteristic, complemented
23#21449480C211yesmaximal, characteristic, complemented
24#21449480C211yesmaximal, characteristic, complemented
25#21449479C211yesmaximal, characteristic, complemented
26#21448432C211yesmaximal, characteristic, complemented
27#21448430C211yesmaximal, characteristic, complemented
28#21448430C211yesmaximal, characteristic, complemented
29C2×#16839617C211yesmaximal, characteristic
30#379×D61C211yesmaximal, characteristic
31C61×#2437C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840387—28no—
36C2×#14519757C2211yescharacteristic, complemented
37C2×#14519757C2211yescharacteristic, complemented
38C2×#14519757C2211yescharacteristic, complemented
39C2×#14519756C2211yescharacteristic, complemented
40C2×#14519756C2211yescharacteristic, complemented
41C2×#14519755C2211yescharacteristic, complemented
42C2×#14519755C2211yescharacteristic, complemented
43C2×#14519755C2211yescharacteristic, complemented
44C2×#14519755C2211yescharacteristic, complemented
45C2×#14519755C2211yescharacteristic, complemented
46C2×#14519755C2211yescharacteristic, complemented
47C2×#14519754C2211yescharacteristic, complemented
48C2×#14519754C2211yescharacteristic, complemented
49C2×#14519754C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic, complemented
51C2×#14519753C2211yescharacteristic, complemented
52C2×#14519753C2211yescharacteristic, complemented
53C2×#14519753C2211yescharacteristic, complemented
54C22×C22⋊Dic61C2211yescharacteristic
55C22×C22⋊Dic61C2211yescharacteristic
56C22×#11758198C2211yescharacteristic
57C22×#11758198C2211yescharacteristic
58C22×#11758198C2211yescharacteristic
59C22×#11758198C2211yescharacteristic
60C22×#11758198C2211yescharacteristic
61C22×#11758198C2211yescharacteristic
62C2×C22⋊C4×D61—28no—
63C2×C22⋊C4×D61C2211yescharacteristic
64C2×C22⋊C4×D61C2211yescharacteristic
65C2×C22⋊C4×D61C2211yescharacteristic
66C2×C22⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C2×C22⋊C4×D61C2211yescharacteristic
71C2×C22⋊C4×D61C2211yescharacteristic
72C2×C22⋊C4×D61C2211yescharacteristic
73C2×C22⋊C4×D61C2211yescharacteristic
74C2×C22⋊C4×D61C2211yescharacteristic
75C2×C22⋊C4×D61C2211yescharacteristic
76C2×C22⋊C4×D61C2211yescharacteristic
77#16839699C2211yescharacteristic, complemented
78#16839698C2211yescharacteristic, complemented
79#16839698C2211yescharacteristic, complemented
80#16839698C2211yescharacteristic, complemented
81#16839697C2211yescharacteristic, complemented
82#16839697C2211yescharacteristic, complemented
83#16839697C2211yescharacteristic, complemented
84#16839686C2211yescharacteristic, complemented
85#16839686C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839685C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839685C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839684C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic, complemented
95#16839684C2211yescharacteristic, complemented
96#16839684C2211yescharacteristic, complemented
97#16839684C2211yescharacteristic, complemented
98#16839675C2211yescharacteristic, complemented
99#16839675C2211yescharacteristic, complemented
100#16839675C2211yescharacteristic, complemented
101#16839674C2211yescharacteristic, complemented
102#16839674C2211yescharacteristic, complemented
103#16839674C2211yescharacteristic, complemented
104#16839673C2211yescharacteristic, complemented
105#16839637C2211yescharacteristic, complemented
106#16839637C2211yescharacteristic, complemented
107#16839637C2211yescharacteristic, complemented
108#16839637C2211yescharacteristic, complemented
109#16839636C2211yescharacteristic, complemented
110#16839636C2211yescharacteristic, complemented
111#16839636C2211yescharacteristic, complemented
112#16839636C2211yescharacteristic, complemented
113#16839636C2211yescharacteristic, complemented
114#16839636C2211yescharacteristic, complemented
115#16839636C2211yescharacteristic, complemented
116#16839636C2211yescharacteristic, complemented
117#16839636C2211yescharacteristic, complemented
118#16839636C2211yescharacteristic, complemented
119#16839636C2211yescharacteristic, complemented
120#16839636C2211yescharacteristic, complemented
121#16839635C2211yescharacteristic, complemented
122#16839635C2211yescharacteristic, complemented
123#16839635C2211yescharacteristic, complemented
124#16839635C2211yescharacteristic, complemented
125#16839634C2211yescharacteristic, complemented
126#16839634C2211yescharacteristic, complemented
127#16839634C2211yescharacteristic, complemented
128#16839634C2211yescharacteristic, complemented
129#16839633C2211yescharacteristic, complemented
130#16839633C2211yescharacteristic, complemented
131#16839633C2211yescharacteristic, complemented
132#16839633C2211yescharacteristic, complemented
133#16839633C2211yescharacteristic, complemented
134#16839633C2211yescharacteristic, complemented
135#16839633C2211yescharacteristic, complemented
136#16839633C2211yescharacteristic, complemented
137#16839633C2211yescharacteristic, complemented
138#16839633C2211yescharacteristic, complemented
139#16839633C2211yescharacteristic, complemented
140#16839633C2211yescharacteristic, complemented
141#16839622C2211yescharacteristic, complemented
142#16839622C2211yescharacteristic, complemented
143#16839621C2211yescharacteristic, complemented
144#16839621C2211yescharacteristic, complemented
145#16839621C2211yescharacteristic, complemented
146#16839621C2211yescharacteristic, complemented
147#16839621C2211yescharacteristic, complemented
148#16839621C2211yescharacteristic, complemented
149#16839620C2211yescharacteristic, complemented
150#16839620C2211yescharacteristic, complemented
151#16839620C2211yescharacteristic, complemented
152#16839620C2211yescharacteristic, complemented
153#16839619C2211yescharacteristic, complemented
154#16839619C2211yescharacteristic, complemented
155#16839619C2211yescharacteristic, complemented
156#16839619C2211yescharacteristic, complemented
157#16839619C2211yescharacteristic, complemented
158#16839619C2211yescharacteristic, complemented
159#16839618C2211yescharacteristic
160#16839617C2211yescharacteristic
161#16839617C2211yescharacteristic
162#16839617C2211yescharacteristic
163#16839617C2211yescharacteristic
164#16839617C2211yescharacteristic
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839617C2211yescharacteristic
170#16839617C2211yescharacteristic
171#16839617C2211yescharacteristic
172#16839617C2211yescharacteristic
173#16839617C2211yescharacteristic
174C2×C22⋊Q8×C61C2211yescharacteristic, complemented
175C2×C22⋊Q8×C61C2211yescharacteristic, complemented
176C22×C22⋊C4×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#393C2211yescharacteristic, complemented
182C61×#385C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C61×#379C2211yescharacteristic
189C24×D61—24no—
190C24×D61—24no—
191C24×D61—42no—
192C24×D61—42no—
193C24×D61—42no—
194C24×D61—42no—
195C24×D61Q818yescomplemented
196C24×D61C2311yescharacteristic
197C24×D61C2311yescharacteristic
198C24×D61C2311yescharacteristic
199C24×D61C2311yescharacteristic
200C24×D61C2311yescharacteristic
201C24×D61C2311yescharacteristic
202C22×Dic122C2311yescharacteristic, complemented
203C22×Dic122C2311yescharacteristic, complemented
204C22×Dic122C2311yescharacteristic, complemented
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61—24no—
210C22×C4×D61—24no—
211C22×C4×D61—42no—
212C22×C4×D61—42no—
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227#14519757—24no—
228#14519757—24no—
229#14519757—42no—
230#14519756—24no—
231#14519756—42no—
232#14519755—24no—
233#14519755—24no—
234#14519755—24no—
235#14519755—24no—
236#14519755—42no—
237#14519755—42no—
238#14519754—24no—
239#14519754—24no—
240#14519754—42no—
241#14519754—42no—
242#14519753—24no—
243#14519753—24no—
244#14519753—42no—
245C2×C4⋊Dic61C2311yescharacteristic, complemented
246C2×C4⋊Dic61C2311yescharacteristic, complemented
247C2×C4⋊Dic61C2311yescharacteristic, complemented
248C2×C4⋊Dic61C2311yescharacteristic, complemented
249C2×C4⋊Dic61C2311yescharacteristic, complemented
250C2×C4⋊Dic61C2311yescharacteristic, complemented
251C2×C4⋊Dic61C2311yescharacteristic, complemented
252C2×C4⋊Dic61C2311yescharacteristic, complemented
253C2×C4⋊Dic61C2311yescharacteristic, complemented
254C2×#11758196C2311yescharacteristic, complemented
255C2×#11758196C2311yescharacteristic, complemented
256C2×#11758196C2311yescharacteristic, complemented
257C2×#11758196C2311yescharacteristic, complemented
258C2×#11758196C2311yescharacteristic, complemented
259C2×#11758196C2311yescharacteristic, complemented
260C2×#11758196C2311yescharacteristic, complemented
261C2×#11758196C2311yescharacteristic, complemented
262C2×#11758196C2311yescharacteristic, complemented
263C2×#11758196C2311yescharacteristic, complemented
264C2×#11758196C2311yescharacteristic, complemented
265C2×#11758196C2311yescharacteristic, complemented
266C2×#11758196C2311yescharacteristic, complemented
267C2×#11758196C2311yescharacteristic, complemented
268C2×#11758196C2311yescharacteristic, complemented
269C2×#11758196C2311yescharacteristic, complemented
270C2×#11758196C2311yescharacteristic, complemented
271C2×#11758196C2311yescharacteristic, complemented
272C2×C22⋊Dic61—24no—
273C2×C22⋊Dic61—42no—
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×#11758198—24no—
289C2×#11758198—24no—
290C2×#11758198—24no—
291C2×#11758198—24no—
292C2×#11758198—42no—
293C2×#11758198—42no—
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
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
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×#11758198C2311yescharacteristic
330C22⋊C4×D61—24no—
331C22⋊C4×D61—24no—
332C22⋊C4×D61—24no—
333C22⋊C4×D61—24no—
334C22⋊C4×D61—24no—
335C22⋊C4×D61—24no—
336C22⋊C4×D61—24no—
337C22⋊C4×D61—24no—
338C22⋊C4×D61—24no—
339C22⋊C4×D61—42no—
340C22⋊C4×D61—42no—
341C22⋊C4×D61—42no—
342C22⋊C4×D61—42no—
343C22⋊C4×D61D418yes—
344#14519684C2311yescharacteristic, complemented
345#14519684C2311yescharacteristic, complemented
346#14519684C2311yescharacteristic, complemented
347#14519684C2311yescharacteristic, complemented
348#14519684C2311yescharacteristic, complemented
349#14519684C2311yescharacteristic, complemented
350#14519684C2311yescharacteristic, complemented
351#14519684C2311yescharacteristic, complemented
352#14519684C2311yescharacteristic, complemented
353#14519684C2311yescharacteristic, complemented
354#14519684C2311yescharacteristic, complemented
355#14519684C2311yescharacteristic, complemented
356#14519684C2311yescharacteristic, complemented
357#14519684C2311yescharacteristic, complemented
358#14519684C2311yescharacteristic, complemented
359#14519684C2311yescharacteristic, complemented
360#14519684C2311yescharacteristic, complemented
361#14519684C2311yescharacteristic, complemented
362C25×C61C2311yescharacteristic
363C22×Q8×C61C2311yescharacteristic, complemented
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367C23×C4×C61C2311yescharacteristic
368C22⋊Q8×C61—24no—
369C22⋊Q8×C61—42no—
370C2×C4⋊C4×C61C2311yescharacteristic, complemented
371C2×C4⋊C4×C61C2311yescharacteristic, complemented
372C2×C4⋊C4×C61C2311yescharacteristic, complemented
373C2×C4⋊C4×C61C2311yescharacteristic, complemented
374C2×C4⋊C4×C61C2311yescharacteristic, complemented
375C2×C4⋊C4×C61C2311yescharacteristic, complemented
376C2×C4⋊C4×C61C2311yescharacteristic, complemented
377C2×C4⋊C4×C61C2311yescharacteristic, complemented
378C2×C4⋊C4×C61C2311yescharacteristic, complemented
379C2×C22⋊C4×C61—24no—
380C2×C22⋊C4×C61—42no—
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
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C22⋊C4×C61C2311yescharacteristic
393C2×C22⋊C4×C61C2311yescharacteristic
394C2×C22⋊C4×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic, complemented
396#95×C61C2311yescharacteristic, complemented
397#95×C61C2311yescharacteristic, complemented
398#95×C61C2311yescharacteristic, complemented
399#95×C61C2311yescharacteristic, complemented
400#95×C61C2311yescharacteristic, complemented
401C24×C61—22no—
402C24×C61—22no—
403C24×C61—22no—
404C24×C61—22no—
405C24×C61—41no—
406C24×C61—41no—
407C24×C61C2×Q814yes—
408C24×C61C2411yescharacteristic
409C24×C61C2411yescharacteristic
410C24×C61C2411yescharacteristic
411C23×D61—22no—
412C23×D61—22no—
413C23×D61—22no—
414C23×D61—22no—
415C23×D61—22no—
416C23×D61—22no—
417C23×D61—22no—
418C23×D61—22no—
419C23×D61—22no—
420C23×D61—22no—
421C23×D61—232no—
422C23×D61—22no—
423C23×D61—22no—
424C23×D61—22no—
425C23×D61—22no—
426C23×D61—22no—
427C23×D61—22no—
428C23×D61—22no—
429C23×D61—22no—
430C23×D61—22no—
431C23×D61—22no—
432C23×D61—416no—
433C23×D61—416no—
434C23×D61—41no—
435C23×D61—41no—
436C23×D61—41no—
437C23×D61—41no—
438C23×D61—41no—
439C23×D61—41no—
440C23×D61—41no—
441C23×D61—41no—
442C23×D61—41no—
443C23×D61—41no—
444C23×D61—41no—
445C23×D61—41no—
446C23×D61—41no—
447C23×D61—41no—
448C23×D61—416no—
449C23×D61—416no—
450C23×D61—416no—
451C23×D61—416no—
452C23×D61C2×D414yes—
453C23×D61C2×Q814yes—
454C23×D61C2×Q814yes—
455C23×D61C2×Q814yes—
456C23×D61C2×Q814yes—
457C23×D61C2×Q814yes—
458C23×D61C2×Q814yes—
459C23×D61#4114yes—
460C23×D61C2411yescharacteristic
461C23×D61C2411yescharacteristic
462C23×D61C2411yescharacteristic
463C23×D61C2411yescharacteristic
464C2×Q8×C61—22no—
465C2×Q8×C61—41no—
466C2×Q8×C61—41no—
467C22×C4×C61—22no—
468C22×C4×C61—22no—
469C22×C4×C61—22no—
470C22×C4×C61—22no—
471C22×C4×C61—22no—
472C22×C4×C61—22no—
473C22×C4×C61—41no—
474C22×C4×C61—41no—
475C22×C4×C61—41no—
476C22×C4×C61—41no—
477C22×C4×C61—41no—
478C22×C4×C61—41no—
479C22×C4×C61C2411yescharacteristic
480C22×C4×C61C2411yescharacteristic
481C22×C4×C61C2411yescharacteristic
482C22×C4×C61C2411yescharacteristic
483C22×C4×C61C2411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C22×C4×C61C2411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C22×Dic61—22no—
492C22×Dic61—22no—
493C22×Dic61—22no—
494C22×Dic61—22no—
495C22×Dic61—22no—
496C22×Dic61—22no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61—41no—
500C22×Dic61—41no—
501C22×Dic61—41no—
502C22×Dic61—41no—
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—22no—
522C2×C4×D61—22no—
523C2×C4×D61—22no—
524C2×C4×D61—22no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—22no—
528C2×C4×D61—22no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61—41no—
534C2×C4×D61—41no—
535C2×C4×D61—41no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—416no—
542C2×C4×D61—416no—
543C2×C4×D61—41no—
544C2×C4×D61—41no—
545C2×C4×D61—41no—
546C2×C4×D61—41no—
547C2×C4×D61—41no—
548C2×C4×D61—41no—
549C2×C4×D61—41no—
550C2×C4×D61—41no—
551C2×C4×D61C2×D414yes—
552C2×C4×D61C2×D414yes—
553C2×Dic122—22no—
554C2×Dic122—22no—
555C2×Dic122—22no—
556C2×Dic122—41no—
557C2×Dic122—41no—
558C2×Dic122—41no—
559C2×Dic122—41no—
560C2×Dic122—41no—
561C2×Dic122—41no—
562C4⋊C4×C61—22no—
563C4⋊C4×C61—22no—
564C4⋊C4×C61—22no—
565C4⋊C4×C61—41no—
566C4⋊C4×C61—41no—
567C4⋊C4×C61—41no—
568C4⋊C4×C61—41no—
569C4⋊C4×C61—41no—
570C4⋊C4×C61—41no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61—22no—
575C22⋊C4×C61—22no—
576C22⋊C4×C61—22no—
577C22⋊C4×C61—22no—
578C22⋊C4×C61—22no—
579C22⋊C4×C61—22no—
580C22⋊C4×C61—41no—
581C22⋊C4×C61—41no—
582C22⋊C4×C61—41no—
583C22⋊C4×C61—41no—
584C22⋊C4×C61C2×D414yes—
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—22no—
594C22⋊Dic61—41no—
595C22⋊Dic61—41no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598C22⋊Dic61C2×D414yes—
599#11758198—22no—
600#11758198—22no—
601#11758198—22no—
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—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—22no—
622#11758198—22no—
623#11758198—22no—
624#11758198—22no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198—41no—
629#11758198—41no—
630#11758198—41no—
631#11758198—41no—
632#11758198—41no—
633#11758198C2×D414yes—
634#11758198C2×D414yes—
635C4⋊Dic61—22no—
636C4⋊Dic61—22no—
637C4⋊Dic61—22no—
638C4⋊Dic61—41no—
639C4⋊Dic61—41no—
640C4⋊Dic61—41no—
641C4⋊Dic61—41no—
642C4⋊Dic61—41no—
643C4⋊Dic61—41no—
644#11758196—22no—
645#11758196—22no—
646#11758196—22no—
647#11758196—22no—
648#11758196—22no—
649#11758196—22no—
650#11758196—41no—
651#11758196—41no—
652#11758196—41no—
653#11758196—41no—
654#11758196—41no—
655#11758196—41no—
656#11758196—41no—
657#11758196—41no—
658#11758196—41no—
659#11758196—41no—
660#11758196—41no—
661#11758196—41no—
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—28no—
671C23×C61—28no—
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×C61C22×D412yes—
684C23×C61C22×Q812yes—
685C23×C61C22×Q812yes—
686C23×C61C22×Q812yes—
687C23×C61C2×#4112yes—
688C23×C61H(5,𝔽2)12yes—
689C23×C61H(5,𝔽2)12yes—
690C23×C61C2511yescharacteristic
691C22×D61—28no—
692C22×D61—28no—
693C22×D61—28no—
694C22×D61—28no—
695C22×D61—28no—
696C22×D61—21no—
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—28no—
709C22×D61—28no—
710C22×D61—28no—
711C22×D61—28no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—28no—
719C22×D61—28no—
720C22×D61—28no—
721C22×D61—28no—
722C22×D61—28no—
723C22×D61—44no—
724C22×D61—44no—
725C22×D61—44no—
726C22×D61—44no—
727C22×D61—44no—
728C22×D61—44no—
729C22×D61—44no—
730C22×D61—44no—
731C22×D61—44no—
732C22×D61—44no—
733C22×D61—44no—
734C22×D61—44no—
735C22×D61—44no—
736C22×D61—44no—
737C22×D61—44no—
738C22×D61—44no—
739C22×D61—44no—
740C22×D61—44no—
741C22×D61—44no—
742C22×D61—44no—
743C22×D61—44no—
744C22×D61—44no—
745C22×D61—44no—
746C22×D61—4128no—
747C22×D61—44no—
748C22×D61—44no—
749C22×D61—44no—
750C22×D61—44no—
751C22×D61C22⋊Q8116yescomplemented
752C22×D61C22×D412yes—
753C22×D61C22×D412yes—
754C22×D61C22×Q812yes—
755C22×D61C22×Q812yes—
756C22×D61C22×Q812yes—
757C22×D61C22×Q812yes—
758C22×D61C2×#4112yes—
759C22×D61C2×#4112yes—
760C22×D61H(5,𝔽2)12yes—
761C22×D61H(5,𝔽2)12yes—
762Q8×C61—82no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
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—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
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—44no—
798C2×C4×C61—44no—
799C2×C4×C61—82no—
800C2×C4×C61—82no—
801C2×C4×C61C22×D412yes—
802C2×C4×C61C22×D412yes—
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—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
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—44no—
838C2×Dic61—44no—
839C2×Dic61—82no—
840C2×Dic61—82no—
841C2×Dic61C22×D412yes—
842C2×Dic61C22×D412yes—
843C4×D61—44no—
844C4×D61—44no—
845C4×D61—44no—
846C4×D61—44no—
847C4×D61—44no—
848C4×D61—44no—
849C4×D61—44no—
850C4×D61—44no—
851C4×D61—82no—
852C4×D61—82no—
853C4×D61—82no—
854C4×D61—82no—
855Dic122—82no—
856Dic122—82no—
857Dic122—82no—
858#34982—611nomaximal, Sylow
859C22×C61—22no—
860C22×C61—22no—
861C22×C61—22no—
862C22×C61—22no—
863C22×C61—22no—
864C22×C61—22no—
865C22×C61—22no—
866C22×C61—22no—
867C22×C61—22no—
868C22×C61—22no—
869C22×C61—22no—
870C22×C61—22no—
871C22×C61—22no—
872C22×C61—22no—
873C22×C61—22no—
874C22×C61—416no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61C2×C22⋊Q814yes—
880C22×C61#54314yescomplemented
881C22×C61C23×D411yescharacteristic
882C22×C61C23×Q811yescharacteristic
883C22×C61C22×#4111yescharacteristic
884C22×C61C2×H(5,𝔽2)11yescharacteristic
885C22×C61C2×H(5,𝔽2)11yescharacteristic
886C22×C61C2×H(5,𝔽2)11yescharacteristic
887C22×C61C2×H(5,𝔽2)11yescharacteristic
888C2×D61—232no—
889C2×D61—22no—
890C2×D61—22no—
891C2×D61—22no—
892C2×D61—22no—
893C2×D61—22no—
894C2×D61—22no—
895C2×D61—22no—
896C2×D61—22no—
897C2×D61—22no—
898C2×D61—22no—
899C2×D61—22no—
900C2×D61—22no—
901C2×D61—22no—
902C2×D61—22no—
903C2×D61—22no—
904C2×D61—22no—
905C2×D61—22no—
906C2×D61—22no—
907C2×D61—22no—
908C2×D61—22no—
909C2×D61—22no—
910C2×D61—416no—
911C2×D61—416no—
912C2×D61—416no—
913C2×D61—416no—
914C2×D61—416no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61C2×C22⋊Q814yes—
920C2×D61C2×C22⋊Q814yes—
921C2×D61#54314yescomplemented
922C4×C61—22no—
923C4×C61—22no—
924C4×C61—41no—
925C4×C61—41no—
926C4×C61—41no—
927C4×C61—41no—
928C4×C61—41no—
929C4×C61—41no—
930C4×C61—41no—
931C4×C61—41no—
932C4×C61—41no—
933C4×C61—41no—
934Dic61—22no—
935Dic61—22no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940Dic61—41no—
941Dic61—41no—
942Dic61—41no—
943Dic61—41no—
944Dic61—41no—
945Dic61—41no—
946C2×#543—611no—
947C23×C22⋊C4—611no—
948#2848—611no—
949#2848—611no—
950#2848—611no—
951#2848—611no—
952#2626—611no—
953#2626—611no—
954#2626—611no—
955#2626—611no—
956#2437—611no—
957#2437—611no—
958#2437—611no—
959#2437—611no—
960#2437—611no—
961#2437—611no—
962#2437—611no—
963#2437—611no—
964#2437—611no—
965#2437—611no—
966#2437—611no—
967#2437—611no—
968#2437—611no—
969#2437—611no—
970#2437—611no—
971#2437D6111yescharacteristic, complemented
972#2315—611no—
973#2315—611no—
974#2315—611no—
975C2×#379—611no—
976C2×#379—611no—
977C2×C61—24no—
978C2×C61—24no—
979C2×C61—42no—
980C2×C61C22×C22⋊Q811yescharacteristic
981C2×C61C2×#54311yescharacteristic
982C2×C61C2×#54311yescharacteristic
983C2×C61#348411yescharacteristic
984C2×C61#348411yescharacteristic
985C2×C61#349011yescharacteristic
986C2×C61#349011yescharacteristic
987D61—24no—
988D61—24no—
989D61—24no—
990D61—42no—
991C26—611no—
992C24×C4—611no—
993C24×C4—611no—
994#543—1228no—
995C2×C22⋊Q8—611no—
996C2×C22⋊Q8—611no—
997C2×C22⋊Q8—611no—
998C2×C22⋊Q8—611no—
999C2×C22⋊Q8—611no—
1000C2×C22⋊Q8—611no—
1001C2×C22⋊Q8—611no—
1002C2×C22⋊Q8—611no—
1003C2×C22⋊Q8—611no—
1004C2×C22⋊Q8—611no—
1005C2×C22⋊Q8—611no—
1006C2×C22⋊Q8—611no—
1007C2×C22⋊Q8—611no—
1008C2×C22⋊Q8—611no—
1009C2×C22⋊Q8—611no—
1010C2×C22⋊Q8—611no—
1011C2×C22⋊Q8—611no—
1012C2×C22⋊Q8—611no—
1013C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1014C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1015C22×C22⋊C4—611no—
1016C22×C22⋊C4—611no—
1017C22×C22⋊C4—611no—
1018C22×C22⋊C4—611no—
1019C22×C22⋊C4—611no—
1020C22×C22⋊C4—611no—
1021C22×C22⋊C4—611no—
1022C22×C22⋊C4—611no—
1023C22×C22⋊C4—611no—
1024C22×C22⋊C4—611no—
1025C22×C22⋊C4—611no—
1026C22×C22⋊C4—611no—
1027C22×C22⋊C4—611no—
1028C22×C22⋊C4—611no—
1029C22×C22⋊C4—611no—
1030C22×C22⋊C4—611no—
1031C22×C22⋊C4—611no—
1032C22×C22⋊C4—611no—
1033C22×C22⋊C4—611no—
1034C22×C22⋊C4—611no—
1035C22×C22⋊C4—611no—
1036C22×C22⋊C4—611no—
1037C22×C22⋊C4—1228no—
1038C22×C22⋊C4C2×D6111yescharacteristic
1039C22×C22⋊C4C2×D6111yescharacteristic
1040#399—611no—
1041#399—611no—
1042#399—611no—
1043#399—611no—
1044#399—611no—
1045#399—611no—
1046#399—611no—
1047#399C2×D6111yescharacteristic, complemented
1048#396—611no—
1049#396—611no—
1050#396—611no—
1051#396—611no—
1052#396—611no—
1053#396—611no—
1054#396—611no—
1055#396—611no—
1056#396—611no—
1057#396—611no—
1058#396—611no—
1059#396—611no—
1060#396—611no—
1061#396—611no—
1062#396C2×D6111yescharacteristic, complemented
1063#396C2×D6111yescharacteristic, complemented
1064#393—611no—
1065#393—611no—
1066#393—611no—
1067#393—611no—
1068#393—611no—
1069#393—611no—
1070#393—611no—
1071#393C2×D6111yescharacteristic, complemented
1072#385—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#385—611no—
1081#385—611no—
1082#385—611no—
1083#385—611no—
1084#385—611no—
1085#385—611no—
1086#385—611no—
1087#385—611no—
1088#385—611no—
1089#385—611no—
1090#385—611no—
1091#385—611no—
1092#385—611no—
1093#385—611no—
1094#385—611no—
1095#385—611no—
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#385C2×D6111yescharacteristic, complemented
1109#385C2×D6111yescharacteristic, complemented
1110#385C2×D6111yescharacteristic, complemented
1111#385C2×D6111yescharacteristic, complemented
1112#380—611no—
1113#380—611no—
1114#380—611no—
1115#380—611no—
1116#380—611no—
1117#380—611no—
1118#380—611no—
1119#380—611no—
1120#380—611no—
1121#380—611no—
1122#380—611no—
1123#380—611no—
1124#380—611no—
1125#380—611no—
1126#380—611no—
1127#380—611no—
1128#380—611no—
1129#380—611no—
1130#380C2×D6111yescharacteristic, complemented
1131#380C2×D6111yescharacteristic, complemented
1132#379—611no—
1133#379—611no—
1134#379—611no—
1135#379—611no—
1136#379—611no—
1137#379—611no—
1138#379—611no—
1139#379—611no—
1140#379—611no—
1141#379—611no—
1142#379—611no—
1143#379—611no—
1144#379—611no—
1145#379—611no—
1146#379—611no—
1147#379C2×D6111yescharacteristic
1148C61#3498211yescharacteristic, complemented, Sylow
1149C25—611no—
1150C25—611no—
1151C25—611no—
1152C25—611no—
1153C25—611no—
1154C25—618no—
1155C25—611no—
1156C25—1224no—
1157C25—1224no—
1158C25—2442no—
1159C25—2442no—
1160C25—2442no—
1161C25—2442no—
1162C25C22×D6111yescharacteristic
1163C22×Q8—611no—
1164C22×Q8—611no—
1165C22×Q8—611no—
1166C22×Q8C22×D6111yescharacteristic, complemented
1167C23×C4—611no—
1168C23×C4—611no—
1169C23×C4—611no—
1170C23×C4—611no—
1171C23×C4—611no—
1172C23×C4—611no—
1173C23×C4—611no—
1174C23×C4—611no—
1175C23×C4—611no—
1176C23×C4—611no—
1177C23×C4—611no—
1178C23×C4—611no—
1179C23×C4—611no—
1180C23×C4—611no—
1181C23×C4—611no—
1182C23×C4—611no—
1183C23×C4—1224no—
1184C23×C4—1224no—
1185C23×C4—2442no—
1186C23×C4—2442no—
1187C23×C4—2442no—
1188C23×C4—2442no—
1189C23×C4C22×D6111yescharacteristic
1190C23×C4C22×D6111yescharacteristic
1191C23×C4C22×D6111yescharacteristic
1192C23×C4C22×D6111yescharacteristic
1193C22⋊Q8—24no—
1194C22⋊Q8—42no—
1195C22⋊Q8—1224no—
1196C22⋊Q8—1224no—
1197C22⋊Q8—1224no—
1198C22⋊Q8—1224no—
1199C22⋊Q8—1224no—
1200C22⋊Q8—1224no—
1201C22⋊Q8—1224no—
1202C22⋊Q8—1224no—
1203C22⋊Q8—1224no—
1204C22⋊Q8—1224no—
1205C22⋊Q8—1224no—
1206C22⋊Q8—2442no—
1207C22⋊Q8—2442no—
1208C22⋊Q8—2442no—
1209C22⋊Q8—2442no—
1210C22⋊Q8—2442no—
1211C22⋊Q8—2442no—
1212C22⋊Q8—2442no—
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—611no—
1229C2×C4⋊C4—611no—
1230C2×C4⋊C4—611no—
1231C2×C4⋊C4—611no—
1232C2×C4⋊C4—611no—
1233C2×C4⋊C4—611no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—611no—
1240C2×C4⋊C4C22×D6111yescharacteristic, complemented
1241C2×C4⋊C4C22×D6111yescharacteristic, complemented
1242C2×C4⋊C4C22×D6111yescharacteristic, complemented
1243C2×C4⋊C4C22×D6111yescharacteristic, complemented
1244C2×C4⋊C4C22×D6111yescharacteristic, complemented
1245C2×C4⋊C4C22×D6111yescharacteristic, complemented
1246C2×C4⋊C4C22×D6111yescharacteristic, complemented
1247C2×C4⋊C4C22×D6111yescharacteristic, complemented
1248C2×C4⋊C4C22×D6111yescharacteristic, complemented
1249C2×C22⋊C4—24no—
1250C2×C22⋊C4—42no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—618no—
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—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—611no—
1283C2×C22⋊C4—611no—
1284C2×C22⋊C4—611no—
1285C2×C22⋊C4—611no—
1286C2×C22⋊C4—611no—
1287C2×C22⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4—611no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—611no—
1300C2×C22⋊C4—611no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—1224no—
1303C2×C22⋊C4—1224no—
1304C2×C22⋊C4—1224no—
1305C2×C22⋊C4—1224no—
1306C2×C22⋊C4—1224no—
1307C2×C22⋊C4—1224no—
1308C2×C22⋊C4—1224no—
1309C2×C22⋊C4—1224no—
1310C2×C22⋊C4—1224no—
1311C2×C22⋊C4—1224no—
1312C2×C22⋊C4—1224no—
1313C2×C22⋊C4—1224no—
1314C2×C22⋊C4—1224no—
1315C2×C22⋊C4—1224no—
1316C2×C22⋊C4—2442no—
1317C2×C22⋊C4—2442no—
1318C2×C22⋊C4—2442no—
1319C2×C22⋊C4—2442no—
1320C2×C22⋊C4—2442no—
1321C2×C22⋊C4—2442no—
1322C2×C22⋊C4—2442no—
1323C2×C22⋊C4C22×D6111yescharacteristic
1324C2×C22⋊C4C22×D6111yescharacteristic
1325C2×C22⋊C4C22×D6111yescharacteristic
1326C2×C22⋊C4C22×D6111yescharacteristic
1327C2×C22⋊C4C22×D6111yescharacteristic
1328C2×C22⋊C4C22×D6111yescharacteristic
1329C2×C22⋊C4C22×D6111yescharacteristic
1330C2×C22⋊C4C22×D6111yescharacteristic
1331C2×C22⋊C4C22×D6111yescharacteristic
1332C2×C22⋊C4C22×D6111yescharacteristic
1333C2×C22⋊C4C22×D6111yescharacteristic
1334C2×C22⋊C4C22×D6111yescharacteristic
1335C2×C22⋊C4C22×D6111yescharacteristic
1336C2×C22⋊C4C22×D6111yescharacteristic
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95—611no—
1345#95—611no—
1346#95—611no—
1347#95—611no—
1348#95—611no—
1349#95—611no—
1350#95—611no—
1351#95—611no—
1352#95—611no—
1353#95—611no—
1354#95—611no—
1355#95C22×D6111yescharacteristic, complemented
1356#95C22×D6111yescharacteristic, complemented
1357#95C22×D6111yescharacteristic, complemented
1358#95C22×D6111yescharacteristic, complemented
1359#95C22×D6111yescharacteristic, complemented
1360#95C22×D6111yescharacteristic, complemented
1361C24—22no—
1362C24—22no—
1363C24—22no—
1364C24—22no—
1365C24—41no—
1366C24—41no—
1367C24—611no—
1368C24—611no—
1369C24—611no—
1370C24—614no—
1371C24—614no—
1372C24—614no—
1373C24—614no—
1374C24—611no—
1375C24—614no—
1376C24—614no—
1377C24—614no—
1378C24—614no—
1379C24—1222no—
1380C24—1222no—
1381C24—1222no—
1382C24—1222no—
1383C24—1222no—
1384C24—1222no—
1385C24—1222no—
1386C24—1222no—
1387C24—1222no—
1388C24—1222no—
1389C24—1222no—
1390C24—1222no—
1391C24—12232no—
1392C24—1222no—
1393C24—1222no—
1394C24—1222no—
1395C24—1222no—
1396C24—1222no—
1397C24—1222no—
1398C24—1222no—
1399C24—1222no—
1400C24—2441no—
1401C24—2441no—
1402C24—2441no—
1403C24—2441no—
1404C24—2441no—
1405C24—2441no—
1406C24—2441no—
1407C24—2441no—
1408C24—2441no—
1409C24—2441no—
1410C24—2441no—
1411C24—2441no—
1412C24—2441no—
1413C24—2441no—
1414C24—24416no—
1415C24—24416no—
1416C24—24416no—
1417C24—24416no—
1418C24—24416no—
1419C24—24416no—
1420C24Q8×D6114yes—
1421C24C23×D6111yescharacteristic
1422C24C23×D6111yescharacteristic
1423C24C23×D6111yescharacteristic
1424C2×Q8—22no—
1425C2×Q8—41no—
1426C2×Q8—41no—
1427C2×Q8—1222no—
1428C2×Q8—1222no—
1429C2×Q8—1222no—
1430C2×Q8—2441no—
1431C2×Q8—2441no—
1432C2×Q8—2441no—
1433C2×Q8—2441no—
1434C2×Q8—2441no—
1435C2×Q8—2441no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—614no—
1451C22×C4—614no—
1452C22×C4—611no—
1453C22×C4—611no—
1454C22×C4—611no—
1455C22×C4—611no—
1456C22×C4—611no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
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—1222no—
1473C22×C4—1222no—
1474C22×C4—1222no—
1475C22×C4—1222no—
1476C22×C4—1222no—
1477C22×C4—1222no—
1478C22×C4—1222no—
1479C22×C4—1222no—
1480C22×C4—1222no—
1481C22×C4—1222no—
1482C22×C4—2441no—
1483C22×C4—2441no—
1484C22×C4—2441no—
1485C22×C4—2441no—
1486C22×C4—2441no—
1487C22×C4—2441no—
1488C22×C4—2441no—
1489C22×C4—2441no—
1490C22×C4—2441no—
1491C22×C4—2441no—
1492C22×C4—2441no—
1493C22×C4—2441no—
1494C22×C4—2441no—
1495C22×C4—2441no—
1496C22×C4—2441no—
1497C22×C4—2441no—
1498C22×C4—2441no—
1499C22×C4—2441no—
1500C22×C4—2441no—
1501C22×C4—2441no—
1502C22×C4—24416no—
1503C22×C4—24416no—
1504C22×C4—2441no—
1505C22×C4—2441no—
1506C22×C4—2441no—
1507C22×C4—2441no—
1508C22×C4—2441no—
1509C22×C4—2441no—
1510C22×C4C23×D6111yescharacteristic
1511C22×C4C23×D6111yescharacteristic
1512C22×C4C23×D6111yescharacteristic
1513C22×C4C23×D6111yescharacteristic
1514C22×C4C23×D6111yescharacteristic
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517C22×C4C23×D6111yescharacteristic
1518C22×C4C23×D6111yescharacteristic
1519C22×C4C23×D6111yescharacteristic
1520C22×C4C23×D6111yescharacteristic
1521C22×C4C23×D6111yescharacteristic
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—41no—
1528C4⋊C4—41no—
1529C4⋊C4—41no—
1530C4⋊C4—41no—
1531C4⋊C4—1222no—
1532C4⋊C4—1222no—
1533C4⋊C4—1222no—
1534C4⋊C4—1222no—
1535C4⋊C4—1222no—
1536C4⋊C4—1222no—
1537C4⋊C4—1222no—
1538C4⋊C4—1222no—
1539C4⋊C4—1222no—
1540C4⋊C4—2441no—
1541C4⋊C4—2441no—
1542C4⋊C4—2441no—
1543C4⋊C4—2441no—
1544C4⋊C4—2441no—
1545C4⋊C4—2441no—
1546C4⋊C4—2441no—
1547C4⋊C4—2441no—
1548C4⋊C4—2441no—
1549C4⋊C4—2441no—
1550C4⋊C4—2441no—
1551C4⋊C4—2441no—
1552C4⋊C4—2441no—
1553C4⋊C4—2441no—
1554C4⋊C4—2441no—
1555C4⋊C4—2441no—
1556C4⋊C4—2441no—
1557C4⋊C4—2441no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—614no—
1572C22⋊C4—614no—
1573C22⋊C4—614no—
1574C22⋊C4—1222no—
1575C22⋊C4—1222no—
1576C22⋊C4—1222no—
1577C22⋊C4—1222no—
1578C22⋊C4—1222no—
1579C22⋊C4—1222no—
1580C22⋊C4—1222no—
1581C22⋊C4—1222no—
1582C22⋊C4—1222no—
1583C22⋊C4—1222no—
1584C22⋊C4—1222no—
1585C22⋊C4—1222no—
1586C22⋊C4—1222no—
1587C22⋊C4—1222no—
1588C22⋊C4—1222no—
1589C22⋊C4—1222no—
1590C22⋊C4—1222no—
1591C22⋊C4—1222no—
1592C22⋊C4—1222no—
1593C22⋊C4—1222no—
1594C22⋊C4—1222no—
1595C22⋊C4—1222no—
1596C22⋊C4—1222no—
1597C22⋊C4—1222no—
1598C22⋊C4—1222no—
1599C22⋊C4—1222no—
1600C22⋊C4—1222no—
1601C22⋊C4—1222no—
1602C22⋊C4—1222no—
1603C22⋊C4—1222no—
1604C22⋊C4—1222no—
1605C22⋊C4—1222no—
1606C22⋊C4—1222no—
1607C22⋊C4—1222no—
1608C22⋊C4—1222no—
1609C22⋊C4—2441no—
1610C22⋊C4—2441no—
1611C22⋊C4—2441no—
1612C22⋊C4—2441no—
1613C22⋊C4—2441no—
1614C22⋊C4—2441no—
1615C22⋊C4—2441no—
1616C22⋊C4—2441no—
1617C22⋊C4—2441no—
1618C22⋊C4—2441no—
1619C22⋊C4—2441no—
1620C22⋊C4—2441no—
1621C22⋊C4D4×D6114yes—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—28no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—28no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—612no—
1644C23—612no—
1645C23—612no—
1646C23—612no—
1647C23—612no—
1648C23—612no—
1649C23—612no—
1650C23—612no—
1651C23—612no—
1652C23—6116no—
1653C23—612no—
1654C23—1228no—
1655C23—1228no—
1656C23—1228no—
1657C23—1228no—
1658C23—1228no—
1659C23—1228no—
1660C23—1228no—
1661C23—1228no—
1662C23—1228no—
1663C23—1228no—
1664C23—1228no—
1665C23—1221no—
1666C23—1221no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—1221no—
1673C23—1221no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—1228no—
1678C23—1228no—
1679C23—1221no—
1680C23—1221no—
1681C23—1221no—
1682C23—1221no—
1683C23—1221no—
1684C23—1221no—
1685C23—1228no—
1686C23—2444no—
1687C23—2444no—
1688C23—2444no—
1689C23—2444no—
1690C23—2444no—
1691C23—2444no—
1692C23—2444no—
1693C23—2444no—
1694C23—2444no—
1695C23—2444no—
1696C23—2444no—
1697C23—2444no—
1698C23—2444no—
1699C23—2444no—
1700C23—2444no—
1701C23—2444no—
1702C23—2444no—
1703C23—2444no—
1704C23—2444no—
1705C23—2444no—
1706C23—2444no—
1707C23—2444no—
1708C23—2444no—
1709C23—244128no—
1710C23—2444no—
1711C23—2444no—
1712C23—2444no—
1713C23—2444no—
1714C23C2×D4×D6112yes—
1715C23C2×Q8×D6112yes—
1716C23C2×Q8×D6112yes—
1717C23C2×Q8×D6112yes—
1718C23#41×D6112yes—
1719C23#1451982212yes—
1720C23#1451982312yes—
1721C23C24×D6111yescharacteristic
1722Q8—82no—
1723Q8—4882no—
1724Q8—4882no—
1725Q8—4882no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—82no—
1763C2×C4—82no—
1764C2×C4—612no—
1765C2×C4—612no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—4882no—
1801C2×C4—4882no—
1802C2×C4—4882no—
1803C2×C4—4882no—
1804C2×C4—4882no—
1805C2×C4—4882no—
1806C2×C4—2444no—
1807C2×C4—2444no—
1808C2×C4—2444no—
1809C2×C4—2444no—
1810C2×C4—2444no—
1811C2×C4—2444no—
1812C2×C4—2444no—
1813C2×C4—2444no—
1814C2×C4—2444no—
1815C2×C4—2444no—
1816C2×C4C2×D4×D6112yes—
1817C2×C4C2×D4×D6112yes—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—416no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—614no—
1839C22—614no—
1840C22—614no—
1841C22—12232no—
1842C22—1222no—
1843C22—1222no—
1844C22—1222no—
1845C22—1222no—
1846C22—1222no—
1847C22—1222no—
1848C22—1222no—
1849C22—1222no—
1850C22—1222no—
1851C22—1222no—
1852C22—1222no—
1853C22—1222no—
1854C22—1222no—
1855C22—1222no—
1856C22—1222no—
1857C22—1222no—
1858C22—1222no—
1859C22—1222no—
1860C22—1222no—
1861C22—1222no—
1862C22—1222no—
1863C22—24416no—
1864C22—24416no—
1865C22—24416no—
1866C22—24416no—
1867C22—24416no—
1868C22—2441no—
1869C22—2441no—
1870C22—2441no—
1871C22—2441no—
1872C22C22⋊Q8×D6114yes—
1873C22#1684038714yescomplemented
1874C22C22×D4×D6111yescharacteristic
1875C22C22×Q8×D6111yescharacteristic
1876C22C2×#41×D6111yescharacteristic
1877C22H(5,𝔽2)×D6111yescharacteristic
1878C22H(5,𝔽2)×D6111yescharacteristic
1879C22C2×#1451982211yescharacteristic
1880C22C2×#1451982311yescharacteristic
1881C4—22no—
1882C4—22no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—1222no—
1894C4—1222no—
1895C4—2441no—
1896C4—2441no—
1897C4—2441no—
1898C4—2441no—
1899C4—2441no—
1900C4—2441no—
1901C4—2441no—
1902C4—2441no—
1903C4—2441no—
1904C4—2441no—
1905C2—24no—
1906C2—24no—
1907C2—42no—
1908C2—1224no—
1909C2—1224no—
1910C2—1224no—
1911C2—2442no—
1912C2C2×C22⋊Q8×D6111yescharacteristic
1913C2#543×D6111yescharacteristic
1914C2C2×#1684038711yescharacteristic
1915C2#2145944711yescharacteristic
1916C2#2145944911yescharacteristic
1917C2#2145950111yescharacteristic
1918C2#2145950311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2437C2
prime radicalC25×D61C22
hypercenter#2437D61
hypocenterC61#34982
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#16840387C2semidirect
3. #21454107C2semidirect
4. #21454105C2semidirect
5. #21454105C2semidirect
6. #21454103C2semidirect
7. #21451629C2semidirect
8. #21451629C2semidirect
9. #21451625C2semidirect
10. #21451623C2semidirect
11. #21449487C2semidirect
12. #21449487C2semidirect
13. #21449486C2semidirect
14. #21449485C2semidirect
15. #21449484C2semidirect
16. #21449484C2semidirect
17. #21449483C2semidirect
18. #21449483C2semidirect
19. #21449482C2semidirect
20. #21449482C2semidirect
21. #21449481C2semidirect
22. #21449481C2semidirect
23. #21449480C2semidirect
24. #21449480C2semidirect
25. #21449479C2semidirect
26. #21448432C2semidirect
27. #21448430C2semidirect
28. #21448430C2semidirect
31. C61×#2437C2semidirect
36. C2×#14519757C22semidirect
37. C2×#14519757C22semidirect
38. C2×#14519757C22semidirect
39. C2×#14519756C22semidirect
40. C2×#14519756C22semidirect
41. C2×#14519755C22semidirect
42. C2×#14519755C22semidirect
43. C2×#14519755C22semidirect
44. C2×#14519755C22semidirect
45. C2×#14519755C22semidirect
46. C2×#14519755C22semidirect
47. C2×#14519754C22semidirect
48. C2×#14519754C22semidirect
49. C2×#14519754C22semidirect
50. C2×#14519754C22semidirect
51. C2×#14519753C22semidirect
52. C2×#14519753C22semidirect
53. C2×#14519753C22semidirect
77. #16839699C22semidirect
78. #16839698C22semidirect
79. #16839698C22semidirect
80. #16839698C22semidirect
81. #16839697C22semidirect
82. #16839697C22semidirect
83. #16839697C22semidirect
84. #16839686C22semidirect
85. #16839686C22semidirect
86. #16839685C22semidirect
87. #16839685C22semidirect
88. #16839685C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839685C22semidirect
92. #16839684C22semidirect
93. #16839684C22semidirect
94. #16839684C22semidirect
95. #16839684C22semidirect
96. #16839684C22semidirect
97. #16839684C22semidirect
98. #16839675C22semidirect
99. #16839675C22semidirect
100. #16839675C22semidirect
101. #16839674C22semidirect
102. #16839674C22semidirect
103. #16839674C22semidirect
104. #16839673C22semidirect
105. #16839637C22semidirect
106. #16839637C22semidirect
107. #16839637C22semidirect
108. #16839637C22semidirect
109. #16839636C22semidirect
110. #16839636C22semidirect
111. #16839636C22semidirect
112. #16839636C22semidirect
113. #16839636C22semidirect
114. #16839636C22semidirect
115. #16839636C22semidirect
116. #16839636C22semidirect
117. #16839636C22semidirect
118. #16839636C22semidirect
119. #16839636C22semidirect
120. #16839636C22semidirect
121. #16839635C22semidirect
122. #16839635C22semidirect
123. #16839635C22semidirect
124. #16839635C22semidirect
125. #16839634C22semidirect
126. #16839634C22semidirect
127. #16839634C22semidirect
128. #16839634C22semidirect
129. #16839633C22semidirect
130. #16839633C22semidirect
131. #16839633C22semidirect
132. #16839633C22semidirect
133. #16839633C22semidirect
134. #16839633C22semidirect
135. #16839633C22semidirect
136. #16839633C22semidirect
137. #16839633C22semidirect
138. #16839633C22semidirect
139. #16839633C22semidirect
140. #16839633C22semidirect
141. #16839622C22semidirect
142. #16839622C22semidirect
143. #16839621C22semidirect
144. #16839621C22semidirect
145. #16839621C22semidirect
146. #16839621C22semidirect
147. #16839621C22semidirect
148. #16839621C22semidirect
149. #16839620C22semidirect
150. #16839620C22semidirect
151. #16839620C22semidirect
152. #16839620C22semidirect
153. #16839619C22semidirect
154. #16839619C22semidirect
155. #16839619C22semidirect
156. #16839619C22semidirect
157. #16839619C22semidirect
158. #16839619C22semidirect
174. C2×C22⋊Q8×C61C22semidirect
175. C2×C22⋊Q8×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#396C22semidirect
180. C61×#396C22semidirect
181. C61×#393C22semidirect
182. C61×#385C22semidirect
183. C61×#385C22semidirect
184. C61×#385C22semidirect
185. C61×#385C22semidirect
186. C61×#380C22semidirect
187. C61×#380C22semidirect
195. C24×D61Q8semidirect
202. C22×Dic122C23semidirect
203. C22×Dic122C23semidirect
204. C22×Dic122C23semidirect
245. C2×C4⋊Dic61C23semidirect
246. C2×C4⋊Dic61C23semidirect
247. C2×C4⋊Dic61C23semidirect
248. C2×C4⋊Dic61C23semidirect
249. C2×C4⋊Dic61C23semidirect
250. C2×C4⋊Dic61C23semidirect
251. C2×C4⋊Dic61C23semidirect
252. C2×C4⋊Dic61C23semidirect
253. C2×C4⋊Dic61C23semidirect
254. C2×#11758196C23semidirect
255. C2×#11758196C23semidirect
256. C2×#11758196C23semidirect
257. C2×#11758196C23semidirect
258. C2×#11758196C23semidirect
259. C2×#11758196C23semidirect
260. C2×#11758196C23semidirect
261. C2×#11758196C23semidirect
262. C2×#11758196C23semidirect
263. C2×#11758196C23semidirect
264. C2×#11758196C23semidirect
265. C2×#11758196C23semidirect
266. C2×#11758196C23semidirect
267. C2×#11758196C23semidirect
268. C2×#11758196C23semidirect
269. C2×#11758196C23semidirect
270. C2×#11758196C23semidirect
271. C2×#11758196C23semidirect
344. #14519684C23semidirect
345. #14519684C23semidirect
346. #14519684C23semidirect
347. #14519684C23semidirect
348. #14519684C23semidirect
349. #14519684C23semidirect
350. #14519684C23semidirect
351. #14519684C23semidirect
352. #14519684C23semidirect
353. #14519684C23semidirect
354. #14519684C23semidirect
355. #14519684C23semidirect
356. #14519684C23semidirect
357. #14519684C23semidirect
358. #14519684C23semidirect
359. #14519684C23semidirect
360. #14519684C23semidirect
361. #14519684C23semidirect
363. C22×Q8×C61C23semidirect
370. C2×C4⋊C4×C61C23semidirect
371. C2×C4⋊C4×C61C23semidirect
372. C2×C4⋊C4×C61C23semidirect
373. C2×C4⋊C4×C61C23semidirect
374. C2×C4⋊C4×C61C23semidirect
375. C2×C4⋊C4×C61C23semidirect
376. C2×C4⋊C4×C61C23semidirect
377. C2×C4⋊C4×C61C23semidirect
378. C2×C4⋊C4×C61C23semidirect
395. #95×C61C23semidirect
396. #95×C61C23semidirect
397. #95×C61C23semidirect
398. #95×C61C23semidirect
399. #95×C61C23semidirect
400. #95×C61C23semidirect
751. C22×D61C22⋊Q8semidirect
880. C22×C61#543semidirect
921. C2×D61#543semidirect
971. #2437D61semidirect
1013. C2×C22⋊Q8C2×D61semidirect
1014. C2×C22⋊Q8C2×D61semidirect
1047. #399C2×D61semidirect
1062. #396C2×D61semidirect
1063. #396C2×D61semidirect
1071. #393C2×D61semidirect
1108. #385C2×D61semidirect
1109. #385C2×D61semidirect
1110. #385C2×D61semidirect
1111. #385C2×D61semidirect
1130. #380C2×D61semidirect
1131. #380C2×D61semidirect
1148. C61#34982semidirect
1166. C22×Q8C22×D61semidirect
1240. C2×C4⋊C4C22×D61semidirect
1241. C2×C4⋊C4C22×D61semidirect
1242. C2×C4⋊C4C22×D61semidirect
1243. C2×C4⋊C4C22×D61semidirect
1244. C2×C4⋊C4C22×D61semidirect
1245. C2×C4⋊C4C22×D61semidirect
1246. C2×C4⋊C4C22×D61semidirect
1247. C2×C4⋊C4C22×D61semidirect
1248. C2×C4⋊C4C22×D61semidirect
1355. #95C22×D61semidirect
1356. #95C22×D61semidirect
1357. #95C22×D61semidirect
1358. #95C22×D61semidirect
1359. #95C22×D61semidirect
1360. #95C22×D61semidirect
1873. C22#16840387semidirect

Maximal subgroups

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

subgroupindex
C2×#168403872
C22×C22⋊C4×D612
#214541072
#214541052
#214541032
#214516292
#214516252
#214516232
#214494872
#214494862
#214494852
#214494842
#214494832
#214494822
#214494812
#214494802
#214494792
#214484322
#214484302
C2×#168396172
#379×D612
C61×#24372
#3498261