Finite Group Databasebeta

← #29886931

Subgroups — #29886931

Order 15616.

4170 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840320C211yesmaximal, characteristic, complemented
2C2×#120×D61C211yesmaximal, characteristic, complemented
3#21454097C211yesmaximal, characteristic, complemented
4#21454095C211yesmaximal, characteristic, complemented
5#21452384C211yesmaximal, characteristic, complemented
6#21452382C211yesmaximal, characteristic, complemented
7#21452379C211yesmaximal, characteristic, complemented
8#21452377C211yesmaximal, characteristic, complemented
9#21452154C211yesmaximal, characteristic, complemented
10#21452153C211yesmaximal, characteristic, complemented
11#21452152C211yesmaximal, characteristic, complemented
12#21452152C211yesmaximal, characteristic, complemented
13#21452147C211yesmaximal, characteristic, complemented
14#21452146C211yesmaximal, characteristic, complemented
15#21452145C211yesmaximal, characteristic, complemented
16#21452144C211yesmaximal, characteristic, complemented
17#21452139C211yesmaximal, characteristic, complemented
18#21452138C211yesmaximal, characteristic, complemented
19#21452137C211yesmaximal, characteristic, complemented
20#21451593C211yesmaximal, characteristic, complemented
21#21451591C211yesmaximal, characteristic, complemented
22#21449203C211yesmaximal, characteristic, complemented
23#21449201C211yesmaximal, characteristic, complemented
24#21449199C211yesmaximal, characteristic, complemented
25#21449197C211yesmaximal, characteristic, complemented
26#21449145C211yesmaximal, characteristic, complemented
27#21449143C211yesmaximal, characteristic, complemented
28#21449128C211yesmaximal, characteristic, complemented
29#21449128C211yesmaximal, characteristic, complemented
30#21448398C211yesmaximal, characteristic, complemented
31C61×#2678C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic, complemented
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36C22×D4×D61C2211yescharacteristic, complemented
37#16840320—28no—
38C2×#14519762C2211yescharacteristic, complemented
39C2×#14519762C2211yescharacteristic, complemented
40C2×#14519761C2211yescharacteristic, complemented
41C2×#14519760C2211yescharacteristic, complemented
42C2×#14519759C2211yescharacteristic, complemented
43C2×#14519759C2211yescharacteristic, complemented
44C2×#14519758C2211yescharacteristic, complemented
45C2×#14519751C2211yescharacteristic, complemented
46C2×#14519749C2211yescharacteristic, complemented
47C2×#14519749C2211yescharacteristic, complemented
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519747C2211yescharacteristic
51C2×#14519747C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519747C2211yescharacteristic
54C2×#14519747C2211yescharacteristic, complemented
55C2×#14519747C2211yescharacteristic, complemented
56C2×#14519747C2211yescharacteristic, complemented
57C2×#14519747C2211yescharacteristic, complemented
58C2×#14519747C2211yescharacteristic, complemented
59C2×#14519747C2211yescharacteristic, complemented
60C2×#14519746C2211yescharacteristic
61C2×#14519746C2211yescharacteristic, complemented
62C2×#14519745C2211yescharacteristic
63C2×#14519745C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic, complemented
66C2×#14519745C2211yescharacteristic, complemented
67C2×#14519745C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic, complemented
69C2×#14519745C2211yescharacteristic, complemented
70C2×#14519745C2211yescharacteristic, complemented
71C2×#14519745C2211yescharacteristic, complemented
72C2×#14519745C2211yescharacteristic, complemented
73C2×#14519745C2211yescharacteristic, complemented
74#120×D61—28no—
75C2×#14519735C2211yescharacteristic, complemented
76C2×#14519734C2211yescharacteristic, complemented
77C22×#11758198C2211yescharacteristic, complemented
78C2×C22⋊C4×D61C2211yescharacteristic, complemented
79C2×C22⋊C4×D61C2211yescharacteristic, complemented
80C2×C22⋊C4×D61C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic, complemented
83#16839690C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839689C2211yescharacteristic, complemented
86#16839688C2211yescharacteristic, complemented
87#16839687C2211yescharacteristic, complemented
88#16839686C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839685C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839684C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic, complemented
95#16839680C2211yescharacteristic, complemented
96#16839680C2211yescharacteristic, complemented
97#16839680C2211yescharacteristic, complemented
98#16839680C2211yescharacteristic, complemented
99#16839679C2211yescharacteristic, complemented
100#16839679C2211yescharacteristic, complemented
101#16839679C2211yescharacteristic, complemented
102#16839679C2211yescharacteristic, complemented
103#16839678C2211yescharacteristic, complemented
104#16839678C2211yescharacteristic, complemented
105#16839678C2211yescharacteristic, complemented
106#16839678C2211yescharacteristic, complemented
107#16839678C2211yescharacteristic, complemented
108#16839678C2211yescharacteristic, complemented
109#16839677C2211yescharacteristic, complemented
110#16839677C2211yescharacteristic, complemented
111#16839677C2211yescharacteristic, complemented
112#16839677C2211yescharacteristic, complemented
113#16839677C2211yescharacteristic, complemented
114#16839677C2211yescharacteristic, complemented
115#16839676C2211yescharacteristic, complemented
116#16839676C2211yescharacteristic, complemented
117#16839671C2211yescharacteristic, complemented
118#16839671C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839670C2211yescharacteristic, complemented
122#16839670C2211yescharacteristic, complemented
123#16839665C2211yescharacteristic, complemented
124#16839665C2211yescharacteristic, complemented
125#16839664C2211yescharacteristic, complemented
126#16839664C2211yescharacteristic, complemented
127#16839663C2211yescharacteristic, complemented
128#16839663C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839662C2211yescharacteristic, complemented
131#16839662C2211yescharacteristic, complemented
132#16839662C2211yescharacteristic, complemented
133#16839662C2211yescharacteristic, complemented
134#16839662C2211yescharacteristic, complemented
135#16839662C2211yescharacteristic, complemented
136#16839662C2211yescharacteristic, complemented
137#16839656C2211yescharacteristic, complemented
138#16839655C2211yescharacteristic, complemented
139#16839654C2211yescharacteristic, complemented
140#16839653C2211yescharacteristic, complemented
141#16839652C2211yescharacteristic, complemented
142#16839651C2211yescharacteristic, complemented
143#16839650C2211yescharacteristic, complemented
144#16839642C2211yescharacteristic, complemented
145#16839641C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839640C2211yescharacteristic, complemented
149#16839640C2211yescharacteristic, complemented
150#16839639C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839618C2211yescharacteristic, complemented
160#16839617C2211yescharacteristic, complemented
161#16839617C2211yescharacteristic, complemented
162#16839617C2211yescharacteristic, complemented
163#16839617C2211yescharacteristic, complemented
164#16839617C2211yescharacteristic, complemented
165#16839617C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic, complemented
173#16839617C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#120×C61C2211yescharacteristic, complemented
177C2×#120×C61C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#390C2211yescharacteristic, complemented
185C61×#390C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C61×#379C2211yescharacteristic, complemented
189C24×D61—24no—
190C24×D61—42no—
191C24×D61—42no—
192C24×D61—42no—
193C24×D61—42no—
194C24×D61—42no—
195C24×D61—42no—
196C24×D61C2311yescharacteristic
197C24×D61C2311yescharacteristic
198C24×D61C2311yescharacteristic
199C24×D61C2311yescharacteristic
200C24×D61C2311yescharacteristic
201C24×D61C2311yescharacteristic
202C24×D61C2311yescharacteristic
203C24×D61C2311yescharacteristic, complemented
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C22×C22⋊D61C2311yescharacteristic
217C22×C22⋊D61C2311yescharacteristic
218C22×C22⋊D61C2311yescharacteristic
219C22×C22⋊D61C2311yescharacteristic
220C22×C22⋊D61C2311yescharacteristic
221C22×C22⋊D61C2311yescharacteristic
222C22×C22⋊D61C2311yescharacteristic
223C22×C22⋊D61C2311yescharacteristic
224C22×C22⋊D61C2311yescharacteristic, complemented
225C2×D4×D61—24no—
226C2×D4×D61—24no—
227C2×D4×D61—24no—
228C2×D4×D61—42no—
229C2×D4×D61—42no—
230C2×D4×D61—42no—
231C2×D4×D61—42no—
232C2×D4×D61—42no—
233C2×D4×D61—42no—
234C2×D4×D61—42no—
235C2×D4×D61—42no—
236C2×D4×D61D418yescomplemented
237C23×Dic61C2311yescharacteristic, complemented
238C22×C4×D61C2311yescharacteristic
239C22×C4×D61C2311yescharacteristic
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic, complemented
242#14519762—24no—
243#14519762—24no—
244#14519761—42no—
245#14519760—42no—
246#14519759—24no—
247#14519759—24no—
248#14519758—42no—
249#14519751—24no—
250#14519749—24no—
251#14519749—24no—
252#14519747—24no—
253#14519747—24no—
254#14519747—24no—
255#14519747—24no—
256#14519747—24no—
257#14519747—42no—
258#14519747—42no—
259#14519747—42no—
260#14519747—42no—
261#14519747—42no—
262#14519747—42no—
263#14519747—42no—
264#14519746—24no—
265#14519746—42no—
266#14519745—24no—
267#14519745—24no—
268#14519745—24no—
269#14519745—24no—
270#14519745—24no—
271#14519745—42no—
272#14519745—42no—
273#14519745—42no—
274#14519745—42no—
275#14519745—42no—
276#14519745—42no—
277#14519745—42no—
278#14519735—42no—
279#14519734—42no—
280C2×C4⋊Dic61C2311yescharacteristic, complemented
281C2×C4⋊Dic61C2311yescharacteristic, complemented
282C2×C4⋊Dic61C2311yescharacteristic, complemented
283C2×C4⋊Dic61C2311yescharacteristic, complemented
284C2×#11758196C2311yescharacteristic, complemented
285C2×#11758196C2311yescharacteristic, complemented
286C2×#11758196C2311yescharacteristic, complemented
287C2×#11758196C2311yescharacteristic, complemented
288C2×#11758196C2311yescharacteristic, complemented
289C2×#11758196C2311yescharacteristic, complemented
290C2×#11758196C2311yescharacteristic, complemented
291C2×#11758196C2311yescharacteristic, complemented
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, complemented
305C2×C22⋊Dic61C2311yescharacteristic, complemented
306C2×C22⋊Dic61C2311yescharacteristic, complemented
307C2×C22⋊Dic61C2311yescharacteristic, complemented
308C2×C22⋊Dic61C2311yescharacteristic, complemented
309C2×#11758198—24no—
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
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×#11758198C2311yescharacteristic
337C2×#11758198C2311yescharacteristic
338C2×#11758198C2311yescharacteristic
339C2×#11758198C2311yescharacteristic
340C2×#11758198C2311yescharacteristic, complemented
341C2×#11758198C2311yescharacteristic, complemented
342C2×#11758198C2311yescharacteristic, complemented
343C2×#11758198C2311yescharacteristic, complemented
344C2×#11758198C2311yescharacteristic, complemented
345C2×#11758198C2311yescharacteristic, complemented
346C2×#11758198C2311yescharacteristic, complemented
347C2×#11758198C2311yescharacteristic, complemented
348C2×#11758198C2311yescharacteristic, complemented
349C2×#11758198C2311yescharacteristic, complemented
350C2×#11758198C2311yescharacteristic, complemented
351C2×#11758198C2311yescharacteristic, complemented
352C22⋊C4×D61—24no—
353C22⋊C4×D61—24no—
354C22⋊C4×D61—24no—
355C2×C4×Dic61C2311yescharacteristic, complemented
356C2×C4×Dic61C2311yescharacteristic, complemented
357C2×C4×Dic61C2311yescharacteristic, complemented
358#14519684C2311yescharacteristic, complemented
359#14519684C2311yescharacteristic, complemented
360#14519684C2311yescharacteristic, complemented
361#14519684C2311yescharacteristic, complemented
362#14519684C2311yescharacteristic, complemented
363#14519684C2311yescharacteristic, complemented
364#14519684C2311yescharacteristic, complemented
365#14519684C2311yescharacteristic, complemented
366#14519684C2311yescharacteristic, complemented
367#14519684C2311yescharacteristic, complemented
368#14519684C2311yescharacteristic, complemented
369#14519684C2311yescharacteristic, complemented
370C25×C61C2311yescharacteristic
371C22×D4×C61C2311yescharacteristic
372C22×D4×C61C2311yescharacteristic
373C22×D4×C61C2311yescharacteristic
374C22×D4×C61C2311yescharacteristic
375C22×D4×C61C2311yescharacteristic
376C22×D4×C61C2311yescharacteristic
377C22×D4×C61C2311yescharacteristic, complemented
378C23×C4×C61C2311yescharacteristic, complemented
379#123×C61—42no—
380#121×C61—24no—
381#120×C61—24no—
382#120×C61—42no—
383C2×C4⋊C4×C61C2311yescharacteristic, complemented
384C2×C4⋊C4×C61C2311yescharacteristic, complemented
385C2×C4⋊C4×C61C2311yescharacteristic, complemented
386C2×C4⋊C4×C61C2311yescharacteristic, complemented
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
395C2×C22⋊C4×C61C2311yescharacteristic
396C2×C22⋊C4×C61C2311yescharacteristic
397C2×C22⋊C4×C61C2311yescharacteristic
398C2×C22⋊C4×C61C2311yescharacteristic
399C2×C22⋊C4×C61C2311yescharacteristic, complemented
400C2×C22⋊C4×C61C2311yescharacteristic, complemented
401C2×C22⋊C4×C61C2311yescharacteristic, complemented
402C2×C22⋊C4×C61C2311yescharacteristic, complemented
403C2×C22⋊C4×C61C2311yescharacteristic, complemented
404C2×C42×C61C2311yescharacteristic, complemented
405#95×C61C2311yescharacteristic, complemented
406#95×C61C2311yescharacteristic, complemented
407#95×C61C2311yescharacteristic, complemented
408#95×C61C2311yescharacteristic, complemented
409C24×C61—22no—
410C24×C61—22no—
411C24×C61—22no—
412C24×C61—41no—
413C24×C61—41no—
414C24×C61—41no—
415C24×C61—41no—
416C24×C61C2411yescharacteristic
417C24×C61C2411yescharacteristic
418C24×C61C2411yescharacteristic
419C24×C61C2411yescharacteristic
420C24×C61C2411yescharacteristic
421C23×D61—22no—
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—22no—
433C23×D61—22no—
434C23×D61—22no—
435C23×D61—22no—
436C23×D61—22no—
437C23×D61—22no—
438C23×D61—22no—
439C23×D61—22no—
440C23×D61—22no—
441C23×D61—22no—
442C23×D61—22no—
443C23×D61—22no—
444C23×D61—22no—
445C23×D61—41no—
446C23×D61—41no—
447C23×D61—41no—
448C23×D61—41no—
449C23×D61—41no—
450C23×D61—41no—
451C23×D61—41no—
452C23×D61—41no—
453C23×D61—41no—
454C23×D61—41no—
455C23×D61—41no—
456C23×D61—41no—
457C23×D61—41no—
458C23×D61—41no—
459C23×D61—41no—
460C23×D61—41no—
461C23×D61—41no—
462C23×D61—41no—
463C23×D61—41no—
464C23×D61—41no—
465C23×D61—41no—
466C23×D61—41no—
467C23×D61—41no—
468C23×D61—41no—
469C23×D61—41no—
470C23×D61—41no—
471C23×D61—41no—
472C23×D61—41no—
473C23×D61—41no—
474C23×D61—41no—
475C23×D61—416no—
476C23×D61—416no—
477C23×D61—416no—
478C23×D61—416no—
479C23×D61—416no—
480C23×D61—416no—
481C23×D61—416no—
482C23×D61C2×D414yes—
483C23×D61C2×D414yes—
484C23×D61C2411yescharacteristic
485C23×D61C2411yescharacteristic
486C23×D61C2411yescharacteristic
487C23×D61C2411yescharacteristic
488C23×D61C2411yescharacteristic
489C23×D61C2411yescharacteristic
490C2×D4×C61—22no—
491C2×D4×C61—22no—
492C2×D4×C61—22no—
493C2×D4×C61—22no—
494C2×D4×C61—22no—
495C2×D4×C61—22no—
496C2×D4×C61—22no—
497C2×D4×C61—22no—
498C2×D4×C61—41no—
499C2×D4×C61—41no—
500C2×D4×C61—41no—
501C2×D4×C61—41no—
502C2×D4×C61—41no—
503C2×D4×C61—41no—
504C2×D4×C61—41no—
505C2×D4×C61—41no—
506C2×D4×C61—41no—
507C2×D4×C61—41no—
508C2×D4×C61—41no—
509C2×D4×C61—41no—
510C2×D4×C61C2×D414yes—
511C22×C4×C61—22no—
512C22×C4×C61—41no—
513C22×C4×C61—41no—
514C22×C4×C61C2411yescharacteristic
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C22×C4×C61C2411yescharacteristic
518C22×C4×C61C2411yescharacteristic
519C22×C4×C61C2411yescharacteristic
520C22×C4×C61C2411yescharacteristic
521C22×C4×C61C2411yescharacteristic
522C22×C4×C61C2411yescharacteristic
523C22×C4×C61C2411yescharacteristic
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—22no—
535C2×C22⋊D61—22no—
536C2×C22⋊D61—22no—
537C2×C22⋊D61—22no—
538C2×C22⋊D61—22no—
539C2×C22⋊D61—22no—
540C2×C22⋊D61—22no—
541C2×C22⋊D61—22no—
542C2×C22⋊D61—41no—
543C2×C22⋊D61—41no—
544C2×C22⋊D61—41no—
545C2×C22⋊D61—41no—
546C2×C22⋊D61—41no—
547C2×C22⋊D61—41no—
548C2×C22⋊D61—41no—
549C2×C22⋊D61—41no—
550C2×C22⋊D61—41no—
551C2×C22⋊D61—41no—
552C2×C22⋊D61—41no—
553C2×C22⋊D61—41no—
554C2×C22⋊D61—41no—
555C2×C22⋊D61—41no—
556C2×C22⋊D61—41no—
557C2×C22⋊D61—41no—
558C2×C22⋊D61—41no—
559C2×C22⋊D61—41no—
560C2×C22⋊D61—41no—
561C2×C22⋊D61—41no—
562C2×C22⋊D61—41no—
563C2×C22⋊D61—41no—
564C2×C22⋊D61C2×D414yes—
565C2×C22⋊D61C2×D414yes—
566C22×Dic61—22no—
567C22×Dic61—41no—
568C22×Dic61—41no—
569C22×Dic61C2411yescharacteristic
570C22×Dic61C2411yescharacteristic
571C22×Dic61C2411yescharacteristic
572C22×Dic61C2411yescharacteristic
573C22×Dic61C2411yescharacteristic
574C22×Dic61C2411yescharacteristic
575C22×Dic61C2411yescharacteristic
576C22×Dic61C2411yescharacteristic
577C22×Dic61C2411yescharacteristic
578C22×Dic61C2411yescharacteristic
579D4×D61—416no—
580D4×D61—416no—
581D4×D61—416no—
582D4×D61—416no—
583C2×D244—22no—
584C2×D244—22no—
585C2×D244—22no—
586C2×D244—22no—
587C2×D244—22no—
588C2×D244—22no—
589C2×D244—22no—
590C2×D244—22no—
591C2×D244—22no—
592C2×D244—22no—
593C2×D244—41no—
594C2×D244—41no—
595C2×D244—41no—
596C2×D244—41no—
597C2×D244—41no—
598C2×D244—41no—
599C2×D244—41no—
600C2×D244—41no—
601C2×D244—41no—
602C2×D244—41no—
603C2×D244C2×D414yes—
604C2×C4×D61—22no—
605C2×C4×D61—22no—
606C2×C4×D61—22no—
607C2×C4×D61—22no—
608C2×C4×D61—22no—
609C2×C4×D61—41no—
610C2×C4×D61—41no—
611C2×C4×D61—41no—
612C2×C4×D61—41no—
613C2×C4×D61—41no—
614C2×C4×D61—41no—
615C2×C4×D61C2×D414yes—
616C4⋊C4×C61—22no—
617C4⋊C4×C61—41no—
618C4⋊C4×C61—41no—
619C4⋊C4×C61—41no—
620C22⋊C4×C61—22no—
621C22⋊C4×C61—22no—
622C22⋊C4×C61—22no—
623C22⋊C4×C61—22no—
624C22⋊C4×C61—22no—
625C22⋊C4×C61—22no—
626C22⋊C4×C61—22no—
627C22⋊C4×C61—41no—
628C22⋊C4×C61—41no—
629C22⋊C4×C61—41no—
630C22⋊C4×C61—41no—
631C22⋊C4×C61—41no—
632C22⋊C4×C61—41no—
633C22⋊C4×C61—41no—
634C22⋊C4×C61—41no—
635C22⋊C4×C61—41no—
636C22⋊C4×C61—41no—
637C42×C61—41no—
638C22⋊Dic61—22no—
639C22⋊Dic61—22no—
640C22⋊Dic61—22no—
641C22⋊Dic61—22no—
642C22⋊Dic61—22no—
643C22⋊Dic61—22no—
644C22⋊Dic61—22no—
645C22⋊Dic61—41no—
646C22⋊Dic61—41no—
647C22⋊Dic61—41no—
648C22⋊Dic61—41no—
649C22⋊Dic61—41no—
650C22⋊Dic61—41no—
651C22⋊Dic61—41no—
652C22⋊Dic61—41no—
653C22⋊Dic61—41no—
654C22⋊Dic61—41no—
655#11758198—22no—
656#11758198—22no—
657#11758198—22no—
658#11758198—22no—
659#11758198—22no—
660#11758198—22no—
661#11758198—22no—
662#11758198—22no—
663#11758198—22no—
664#11758198—22no—
665#11758198—22no—
666#11758198—22no—
667#11758198—22no—
668#11758198—22no—
669#11758198—22no—
670#11758198—22no—
671#11758198—22no—
672#11758198—22no—
673#11758198—22no—
674#11758198—22no—
675#11758198—22no—
676#11758198—22no—
677#11758198—41no—
678#11758198—41no—
679#11758198—41no—
680#11758198—41no—
681#11758198—41no—
682#11758198—41no—
683#11758198—41no—
684#11758198—41no—
685#11758198—41no—
686#11758198—41no—
687#11758198—41no—
688#11758198—41no—
689#11758198—41no—
690#11758198—41no—
691#11758198—41no—
692#11758198—41no—
693#11758198—41no—
694#11758198—41no—
695#11758198—41no—
696#11758198—41no—
697C4⋊Dic61—22no—
698C4⋊Dic61—41no—
699C4⋊Dic61—41no—
700C4⋊Dic61—41no—
701#11758196—22no—
702#11758196—22no—
703#11758196—41no—
704#11758196—41no—
705#11758196—41no—
706#11758196—41no—
707#11758196—41no—
708#11758196—41no—
709C4×Dic61—41no—
710C4×Dic61—41no—
711C4×Dic61—41no—
712C23×C61—21no—
713C23×C61—21no—
714C23×C61—21no—
715C23×C61—21no—
716C23×C61—21no—
717C23×C61—21no—
718C23×C61—21no—
719C23×C61—21no—
720C23×C61—21no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—21no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61—21no—
727C23×C61—21no—
728C23×C61—21no—
729C23×C61—21no—
730C23×C61—21no—
731C23×C61—21no—
732C23×C61—21no—
733C23×C61—21no—
734C23×C61—21no—
735C23×C61—21no—
736C23×C61—21no—
737C23×C61—21no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61—21no—
742C23×C61—21no—
743C23×C61—44no—
744C23×C61—44no—
745C23×C61—44no—
746C23×C61—44no—
747C23×C61—44no—
748C23×C61—44no—
749C23×C61—44no—
750C23×C61C22×D412yes—
751C23×C61C22×D412yes—
752C23×C61H(5,𝔽2)12yes—
753C23×C61H(5,𝔽2)12yes—
754C23×C61C2511yescharacteristic
755C22×D61—21no—
756C22×D61—21no—
757C22×D61—21no—
758C22×D61—21no—
759C22×D61—28no—
760C22×D61—28no—
761C22×D61—21no—
762C22×D61—21no—
763C22×D61—21no—
764C22×D61—21no—
765C22×D61—21no—
766C22×D61—21no—
767C22×D61—21no—
768C22×D61—21no—
769C22×D61—21no—
770C22×D61—21no—
771C22×D61—21no—
772C22×D61—21no—
773C22×D61—21no—
774C22×D61—21no—
775C22×D61—21no—
776C22×D61—21no—
777C22×D61—21no—
778C22×D61—21no—
779C22×D61—21no—
780C22×D61—21no—
781C22×D61—21no—
782C22×D61—21no—
783C22×D61—21no—
784C22×D61—21no—
785C22×D61—28no—
786C22×D61—28no—
787C22×D61—21no—
788C22×D61—21no—
789C22×D61—21no—
790C22×D61—21no—
791C22×D61—21no—
792C22×D61—21no—
793C22×D61—21no—
794C22×D61—44no—
795C22×D61—44no—
796C22×D61—44no—
797C22×D61—44no—
798C22×D61—44no—
799C22×D61—44no—
800C22×D61—44no—
801C22×D61—44no—
802C22×D61—44no—
803C22×D61—44no—
804C22×D61—44no—
805C22×D61—44no—
806C22×D61—44no—
807C22×D61—44no—
808C22×D61—44no—
809C22×D61—44no—
810C22×D61—44no—
811C22×D61—44no—
812C22×D61—44no—
813C22×D61—44no—
814C22×D61—44no—
815C22×D61—44no—
816C22×D61—44no—
817C22×D61—44no—
818C22×D61—44no—
819C22×D61—44no—
820C22×D61—44no—
821C22×D61—44no—
822C22×D61—44no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—44no—
830C22×D61—44no—
831C22×D61—4128no—
832C22×D61—44no—
833C22×D61—44no—
834C22×D61—44no—
835C22×D61—44no—
836C22×D61—44no—
837C22×D61—82no—
838C22×D61—82no—
839C22×D61—82no—
840C22×D61—82no—
841C22×D61—82no—
842C22×D61—82no—
843C22×D61—82no—
844C22×D61—82no—
845C22×D61—82no—
846C22×D61—82no—
847C22×D61C22×D412yes—
848C22×D61C22×D412yes—
849C22×D61C22×D412yes—
850C22×D61H(5,𝔽2)12yes—
851C22×D61H(5,𝔽2)12yes—
852C22×D61H(5,𝔽2)12yes—
853C22×D61H(5,𝔽2)12yes—
854D4×C61—44no—
855D4×C61—44no—
856D4×C61—44no—
857D4×C61—44no—
858D4×C61—82no—
859D4×C61—82no—
860D4×C61—82no—
861C2×C4×C61—21no—
862C2×C4×C61—21no—
863C2×C4×C61—21no—
864C2×C4×C61—21no—
865C2×C4×C61—21no—
866C2×C4×C61—21no—
867C2×C4×C61—21no—
868C2×C4×C61—21no—
869C2×C4×C61—21no—
870C2×C4×C61—21no—
871C2×C4×C61—21no—
872C2×C4×C61—21no—
873C2×C4×C61—21no—
874C2×C4×C61—21no—
875C2×C4×C61—21no—
876C2×C4×C61—21no—
877C2×C4×C61—21no—
878C2×C4×C61—21no—
879C2×C4×C61—21no—
880C2×C4×C61—21no—
881C2×C4×C61—21no—
882C2×C4×C61—21no—
883C2×C4×C61—21no—
884C2×C4×C61—21no—
885C2×C4×C61—21no—
886C2×C4×C61—21no—
887C2×C4×C61—21no—
888C2×C4×C61—21no—
889C2×C4×C61—21no—
890C2×C4×C61—82no—
891C2×C4×C61C22×D412yes—
892C22⋊D61—44no—
893C22⋊D61—44no—
894C22⋊D61—44no—
895C22⋊D61—44no—
896C22⋊D61—44no—
897C22⋊D61—44no—
898C22⋊D61—44no—
899C22⋊D61—44no—
900C22⋊D61—82no—
901C22⋊D61—82no—
902C22⋊D61—82no—
903C22⋊D61—82no—
904C22⋊D61—82no—
905C22⋊D61—82no—
906C2×Dic61—21no—
907C2×Dic61—21no—
908C2×Dic61—21no—
909C2×Dic61—21no—
910C2×Dic61—21no—
911C2×Dic61—21no—
912C2×Dic61—21no—
913C2×Dic61—21no—
914C2×Dic61—21no—
915C2×Dic61—21no—
916C2×Dic61—21no—
917C2×Dic61—21no—
918C2×Dic61—21no—
919C2×Dic61—21no—
920C2×Dic61—21no—
921C2×Dic61—21no—
922C2×Dic61—21no—
923C2×Dic61—21no—
924C2×Dic61—21no—
925C2×Dic61—21no—
926C2×Dic61—21no—
927C2×Dic61—21no—
928C2×Dic61—21no—
929C2×Dic61—21no—
930C2×Dic61—21no—
931C2×Dic61—21no—
932C2×Dic61—21no—
933C2×Dic61—21no—
934C2×Dic61—21no—
935C2×Dic61—82no—
936C2×Dic61C22×D412yes—
937D244—44no—
938D244—44no—
939D244—44no—
940D244—44no—
941D244—82no—
942D244—82no—
943D244—82no—
944C4×D61—28no—
945C4×D61—44no—
946C4×D61—44no—
947C4×D61—44no—
948#36714—611nomaximal, Sylow
949C22×C61—22no—
950C22×C61—22no—
951C22×C61—22no—
952C22×C61—22no—
953C22×C61—22no—
954C22×C61—22no—
955C22×C61—22no—
956C22×C61—22no—
957C22×C61—22no—
958C22×C61—22no—
959C22×C61—22no—
960C22×C61—22no—
961C22×C61—416no—
962C22×C61—41no—
963C22×C61—41no—
964C22×C61—41no—
965C22×C61—41no—
966C22×C61—41no—
967C22×C61—41no—
968C22×C61—41no—
969C22×C61—41no—
970C22×C61—41no—
971C22×C61—41no—
972C22×C61—41no—
973C22×C61—41no—
974C22×C61—41no—
975C22×C61—41no—
976C22×C61—41no—
977C22×C61—41no—
978C22×C61—41no—
979C22×C61—41no—
980C22×C61—41no—
981C22×C61—41no—
982C22×C61—41no—
983C22×C61—41no—
984C22×C61—41no—
985C22×C61C23×D411yescharacteristic
986C22×C61C2×H(5,𝔽2)11yescharacteristic
987C22×C61C2×H(5,𝔽2)11yescharacteristic
988C22×C61C2×H(5,𝔽2)11yescharacteristic
989C22×C61C2×H(5,𝔽2)11yescharacteristic
990C22×C61C2×H(5,𝔽2)11yescharacteristic
991C22×C61C2×H(5,𝔽2)11yescharacteristic
992C2×D61—22no—
993C2×D61—22no—
994C2×D61—22no—
995C2×D61—22no—
996C2×D61—22no—
997C2×D61—22no—
998C2×D61—22no—
999C2×D61—22no—
1000C2×D61—22no—
1001C2×D61—22no—
1002C2×D61—22no—
1003C2×D61—22no—
1004C2×D61—22no—
1005C2×D61—22no—
1006C2×D61—22no—
1007C2×D61—22no—
1008C2×D61—22no—
1009C2×D61—22no—
1010C2×D61—416no—
1011C2×D61—416no—
1012C2×D61—416no—
1013C2×D61—416no—
1014C2×D61—416no—
1015C2×D61—416no—
1016C2×D61—41no—
1017C2×D61—41no—
1018C2×D61—41no—
1019C2×D61—41no—
1020C2×D61—41no—
1021C2×D61—41no—
1022C2×D61—41no—
1023C2×D61—41no—
1024C2×D61—41no—
1025C2×D61—41no—
1026C2×D61—41no—
1027C2×D61—41no—
1028C2×D61—41no—
1029C2×D61—41no—
1030C2×D61—41no—
1031C2×D61—41no—
1032C2×D61—41no—
1033C2×D61—41no—
1034C2×D61—41no—
1035C2×D61—41no—
1036C2×D61—41no—
1037C2×D61—41no—
1038C2×D61—41no—
1039C2×D61—88no—
1040C2×D61—88no—
1041C2×D61#53414yes—
1042C4×C61—22no—
1043C4×C61—41no—
1044C4×C61—41no—
1045C4×C61—41no—
1046C4×C61—41no—
1047C4×C61—41no—
1048C4×C61—41no—
1049C4×C61—41no—
1050C4×C61—41no—
1051C4×C61—41no—
1052Dic61—22no—
1053Dic61—41no—
1054Dic61—41no—
1055Dic61—41no—
1056Dic61—41no—
1057Dic61—41no—
1058Dic61—41no—
1059Dic61—41no—
1060Dic61—41no—
1061Dic61—41no—
1062C2×#534—611no—
1063C22×#120—611no—
1064#2846—611no—
1065#2846—611no—
1066#2697—611no—
1067#2697—611no—
1068#2697—611no—
1069#2697—611no—
1070#2679—611no—
1071#2679—611no—
1072#2679—611no—
1073#2679—611no—
1074#2678—611no—
1075#2678—611no—
1076#2678—611no—
1077#2678—611no—
1078#2678—611no—
1079#2678—611no—
1080#2678—611no—
1081#2678D6111yescharacteristic, complemented
1082#2622—611no—
1083#2622—611no—
1084#2411—611no—
1085#2411—611no—
1086#2411—611no—
1087#2411—611no—
1088#2405—611no—
1089#2405—611no—
1090#2403—611no—
1091#2403—611no—
1092#2309—611no—
1093C2×C61—42no—
1094C2×C61—42no—
1095C2×C61—42no—
1096C2×C61—42no—
1097C2×C61—81no—
1098C2×C61C2×#53411yescharacteristic
1099C2×C61#348411yescharacteristic
1100C2×C61#348411yescharacteristic
1101C2×C61#353211yescharacteristic
1102C2×C61#353211yescharacteristic
1103C2×C61#353211yescharacteristic
1104C2×C61#353211yescharacteristic
1105D61—24no—
1106D61—42no—
1107D61—42no—
1108D61—42no—
1109D61—42no—
1110D61—81no—
1111C26—611no—
1112C23×D4—611no—
1113C23×D4—611no—
1114C23×D4—611no—
1115C23×D4—611no—
1116#534—1228no—
1117C2×#123—611no—
1118C2×#123—611no—
1119C2×#123—611no—
1120C2×#123—611no—
1121C2×#123—611no—
1122C2×#123—611no—
1123C2×#123—611no—
1124C2×#123C2×D6111yescharacteristic, complemented
1125C2×#121—611no—
1126C2×#121—611no—
1127C2×#121—611no—
1128C2×#121C2×D6111yescharacteristic, complemented
1129C2×#120—611no—
1130C2×#120—611no—
1131C2×#120—611no—
1132C2×#120—611no—
1133C2×#120—611no—
1134C2×#120—611no—
1135C2×#120—611no—
1136C2×#120—611no—
1137C2×#120—611no—
1138C2×#120—611no—
1139C2×#120—611no—
1140C2×#120—611no—
1141C2×#120—611no—
1142C2×#120—611no—
1143C2×#120—611no—
1144C2×#120—611no—
1145C2×#120—611no—
1146C2×#120—611no—
1147C2×#120—611no—
1148C2×#120—611no—
1149C2×#120—611no—
1150C2×#120—611no—
1151C2×#120—611no—
1152C2×#120—611no—
1153C2×#120—611no—
1154C2×#120—611no—
1155C2×#120—1228no—
1156C2×#120C2×D6111yescharacteristic, complemented
1157C2×#120C2×D6111yescharacteristic, complemented
1158C2×#117—611no—
1159C2×#117—611no—
1160C22×C22⋊C4—611no—
1161C22×C22⋊C4—611no—
1162C22×C22⋊C4—611no—
1163C22×C22⋊C4—611no—
1164#397—611no—
1165#397—611no—
1166#397—611no—
1167#397—611no—
1168#397—611no—
1169#397—611no—
1170#397—611no—
1171#397C2×D6111yescharacteristic, complemented
1172#396—611no—
1173#396—611no—
1174#396—611no—
1175#396—611no—
1176#396—611no—
1177#396—611no—
1178#396—611no—
1179#396C2×D6111yescharacteristic, complemented
1180#394—611no—
1181#394—611no—
1182#394—611no—
1183#394—611no—
1184#394—611no—
1185#394—611no—
1186#394—611no—
1187#394—611no—
1188#394—611no—
1189#394—611no—
1190#394—611no—
1191#394—611no—
1192#394—611no—
1193#394—611no—
1194#394—611no—
1195#394—611no—
1196#394—611no—
1197#394—611no—
1198#394—611no—
1199#394—611no—
1200#394—611no—
1201#394—611no—
1202#394C2×D6111yescharacteristic, complemented
1203#394C2×D6111yescharacteristic, complemented
1204#392—611no—
1205#392—611no—
1206#392—611no—
1207#392—611no—
1208#392—611no—
1209#392—611no—
1210#392C2×D6111yescharacteristic, complemented
1211#392C2×D6111yescharacteristic, complemented
1212#390—611no—
1213#390—611no—
1214#390—611no—
1215#390—611no—
1216#390—611no—
1217#390—611no—
1218#390—611no—
1219#390—611no—
1220#390—611no—
1221#390—611no—
1222#390—611no—
1223#390—611no—
1224#390—611no—
1225#390—611no—
1226#390C2×D6111yescharacteristic, complemented
1227#390C2×D6111yescharacteristic, complemented
1228#388—611no—
1229#388—611no—
1230#388—611no—
1231#388—611no—
1232#388—611no—
1233#388—611no—
1234#388—611no—
1235#388C2×D6111yescharacteristic, complemented
1236#386—611no—
1237#386—611no—
1238#386—611no—
1239#386—611no—
1240#386—611no—
1241#386—611no—
1242#386—611no—
1243#386—611no—
1244#386—611no—
1245#386—611no—
1246#386—611no—
1247#386C2×D6111yescharacteristic, complemented
1248#385—611no—
1249#385—611no—
1250#385—611no—
1251#385—611no—
1252#379—611no—
1253#379—611no—
1254#379—611no—
1255#379—611no—
1256#379—611no—
1257#379—611no—
1258#379—611no—
1259#379—611no—
1260#379—611no—
1261#379—611no—
1262#379—611no—
1263#379—611no—
1264#379—611no—
1265#379—611no—
1266#379—611no—
1267#379C2×D6111yescharacteristic, complemented
1268C61#3671411yescharacteristic, complemented, Sylow
1269C25—611no—
1270C25—611no—
1271C25—611no—
1272C25—611no—
1273C25—611no—
1274C25—611no—
1275C25—611no—
1276C25—611no—
1277C25—1224no—
1278C25—2442no—
1279C25—2442no—
1280C25—2442no—
1281C25—2442no—
1282C25—2442no—
1283C25—2442no—
1284C25C22×D6111yescharacteristic
1285C22×D4—611no—
1286C22×D4—611no—
1287C22×D4—618no—
1288C22×D4—611no—
1289C22×D4—611no—
1290C22×D4—611no—
1291C22×D4—611no—
1292C22×D4—611no—
1293C22×D4—611no—
1294C22×D4—611no—
1295C22×D4—611no—
1296C22×D4—611no—
1297C22×D4—611no—
1298C22×D4—611no—
1299C22×D4—611no—
1300C22×D4—611no—
1301C22×D4—611no—
1302C22×D4—611no—
1303C22×D4—611no—
1304C22×D4—611no—
1305C22×D4—611no—
1306C22×D4—611no—
1307C22×D4—1224no—
1308C22×D4—1224no—
1309C22×D4—1224no—
1310C22×D4—2442no—
1311C22×D4—2442no—
1312C22×D4—2442no—
1313C22×D4—2442no—
1314C22×D4—2442no—
1315C22×D4—2442no—
1316C22×D4—2442no—
1317C22×D4—2442no—
1318C22×D4C22×D6111yescharacteristic
1319C22×D4C22×D6111yescharacteristic
1320C22×D4C22×D6111yescharacteristic
1321C22×D4C22×D6111yescharacteristic
1322C22×D4C22×D6111yescharacteristic
1323C22×D4C22×D6111yescharacteristic
1324C22×D4C22×D6111yescharacteristic, complemented
1325C23×C4—611no—
1326C23×C4—611no—
1327C23×C4—611no—
1328C23×C4—611no—
1329C23×C4—611no—
1330C23×C4C22×D6111yescharacteristic, complemented
1331#123—42no—
1332#123—1224no—
1333#123—1224no—
1334#123—1224no—
1335#123—1224no—
1336#123—2442no—
1337#123—2442no—
1338#123—2442no—
1339#121—24no—
1340#121—1224no—
1341#121—1224no—
1342#121—1224no—
1343#120—24no—
1344#120—42no—
1345#120—1224no—
1346#120—1224no—
1347#120—1224no—
1348#120—1224no—
1349#120—1224no—
1350#120—1224no—
1351#120—1224no—
1352#120—1224no—
1353#120—1224no—
1354#120—1224no—
1355#120—1224no—
1356#120—2442no—
1357#120—2442no—
1358#120—2442no—
1359#120—2442no—
1360#120—2442no—
1361#120—2442no—
1362#120—2442no—
1363#120—2442no—
1364#120—2442no—
1365#120—2442no—
1366#120—2442no—
1367#120—2442no—
1368#120—2442no—
1369#120—2442no—
1370#120—2442no—
1371#117—2442no—
1372#117—2442no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—611no—
1385C2×C4⋊C4C22×D6111yescharacteristic, complemented
1386C2×C4⋊C4C22×D6111yescharacteristic, complemented
1387C2×C4⋊C4C22×D6111yescharacteristic, complemented
1388C2×C4⋊C4C22×D6111yescharacteristic, complemented
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—611no—
1392C2×C22⋊C4—611no—
1393C2×C22⋊C4—611no—
1394C2×C22⋊C4—611no—
1395C2×C22⋊C4—611no—
1396C2×C22⋊C4—611no—
1397C2×C22⋊C4—611no—
1398C2×C22⋊C4—611no—
1399C2×C22⋊C4—611no—
1400C2×C22⋊C4—611no—
1401C2×C22⋊C4—611no—
1402C2×C22⋊C4—611no—
1403C2×C22⋊C4—611no—
1404C2×C22⋊C4—611no—
1405C2×C22⋊C4—611no—
1406C2×C22⋊C4—611no—
1407C2×C22⋊C4—611no—
1408C2×C22⋊C4—611no—
1409C2×C22⋊C4—611no—
1410C2×C22⋊C4—611no—
1411C2×C22⋊C4—611no—
1412C2×C22⋊C4—611no—
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—611no—
1416C2×C22⋊C4—611no—
1417C2×C22⋊C4—611no—
1418C2×C22⋊C4—611no—
1419C2×C22⋊C4—611no—
1420C2×C22⋊C4—611no—
1421C2×C22⋊C4—611no—
1422C2×C22⋊C4—611no—
1423C2×C22⋊C4—611no—
1424C2×C22⋊C4—611no—
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4—611no—
1427C2×C22⋊C4—611no—
1428C2×C22⋊C4—611no—
1429C2×C22⋊C4—611no—
1430C2×C22⋊C4—611no—
1431C2×C22⋊C4—611no—
1432C2×C22⋊C4—611no—
1433C2×C22⋊C4—611no—
1434C2×C22⋊C4—611no—
1435C2×C22⋊C4—611no—
1436C2×C22⋊C4—611no—
1437C2×C22⋊C4—611no—
1438C2×C22⋊C4—611no—
1439C2×C22⋊C4—611no—
1440C2×C22⋊C4—611no—
1441C2×C22⋊C4—611no—
1442C2×C22⋊C4—611no—
1443C2×C22⋊C4—611no—
1444C2×C22⋊C4—611no—
1445C2×C22⋊C4—611no—
1446C2×C22⋊C4—611no—
1447C2×C22⋊C4—611no—
1448C2×C22⋊C4—1224no—
1449C2×C22⋊C4—1224no—
1450C2×C22⋊C4—1224no—
1451C2×C22⋊C4—1224no—
1452C2×C22⋊C4C22×D6111yescharacteristic
1453C2×C22⋊C4C22×D6111yescharacteristic
1454C2×C22⋊C4C22×D6111yescharacteristic
1455C2×C22⋊C4C22×D6111yescharacteristic
1456C2×C22⋊C4C22×D6111yescharacteristic
1457C2×C22⋊C4C22×D6111yescharacteristic
1458C2×C22⋊C4C22×D6111yescharacteristic
1459C2×C22⋊C4C22×D6111yescharacteristic
1460C2×C22⋊C4C22×D6111yescharacteristic
1461C2×C22⋊C4C22×D6111yescharacteristic
1462C2×C22⋊C4C22×D6111yescharacteristic
1463C2×C22⋊C4C22×D6111yescharacteristic
1464C2×C22⋊C4C22×D6111yescharacteristic, complemented
1465C2×C22⋊C4C22×D6111yescharacteristic, complemented
1466C2×C22⋊C4C22×D6111yescharacteristic, complemented
1467C2×C22⋊C4C22×D6111yescharacteristic, complemented
1468C2×C22⋊C4C22×D6111yescharacteristic, complemented
1469C2×C42—611no—
1470C2×C42—611no—
1471C2×C42—611no—
1472C2×C42C22×D6111yescharacteristic, complemented
1473#95—611no—
1474#95—611no—
1475#95—611no—
1476#95—611no—
1477#95—611no—
1478#95—611no—
1479#95—611no—
1480#95—611no—
1481#95—611no—
1482#95—611no—
1483#95—611no—
1484#95—611no—
1485#95C22×D6111yescharacteristic, complemented
1486#95C22×D6111yescharacteristic, complemented
1487#95C22×D6111yescharacteristic, complemented
1488#95C22×D6111yescharacteristic, complemented
1489C24—22no—
1490C24—22no—
1491C24—22no—
1492C24—41no—
1493C24—41no—
1494C24—41no—
1495C24—41no—
1496C24—611no—
1497C24—611no—
1498C24—611no—
1499C24—611no—
1500C24—611no—
1501C24—614no—
1502C24—614no—
1503C24—611no—
1504C24—1222no—
1505C24—1222no—
1506C24—1222no—
1507C24—1222no—
1508C24—1222no—
1509C24—1222no—
1510C24—1222no—
1511C24—1222no—
1512C24—1222no—
1513C24—1222no—
1514C24—1222no—
1515C24—1222no—
1516C24—1222no—
1517C24—1222no—
1518C24—1222no—
1519C24—1222no—
1520C24—1222no—
1521C24—1222no—
1522C24—1222no—
1523C24—1222no—
1524C24—1222no—
1525C24—1222no—
1526C24—1222no—
1527C24—1222no—
1528C24—2441no—
1529C24—2441no—
1530C24—2441no—
1531C24—2441no—
1532C24—2441no—
1533C24—2441no—
1534C24—2441no—
1535C24—2441no—
1536C24—2441no—
1537C24—2441no—
1538C24—2441no—
1539C24—2441no—
1540C24—2441no—
1541C24—2441no—
1542C24—2441no—
1543C24—2441no—
1544C24—2441no—
1545C24—2441no—
1546C24—2441no—
1547C24—2441no—
1548C24—2441no—
1549C24—2441no—
1550C24—2441no—
1551C24—2441no—
1552C24—2441no—
1553C24—2441no—
1554C24—2441no—
1555C24—2441no—
1556C24—2441no—
1557C24—2441no—
1558C24—24416no—
1559C24—24416no—
1560C24—24416no—
1561C24—24416no—
1562C24—24416no—
1563C24—24416no—
1564C24—24416no—
1565C24C23×D6111yescharacteristic
1566C24C23×D6111yescharacteristic
1567C24C23×D6111yescharacteristic
1568C24C23×D6111yescharacteristic
1569C24C23×D6111yescharacteristic
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—22no—
1575C2×D4—22no—
1576C2×D4—22no—
1577C2×D4—22no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—614no—
1591C2×D4—614no—
1592C2×D4—614no—
1593C2×D4—1222no—
1594C2×D4—1222no—
1595C2×D4—1222no—
1596C2×D4—1222no—
1597C2×D4—1222no—
1598C2×D4—1222no—
1599C2×D4—1222no—
1600C2×D4—1222no—
1601C2×D4—1222no—
1602C2×D4—1222no—
1603C2×D4—1222no—
1604C2×D4—1222no—
1605C2×D4—1222no—
1606C2×D4—1222no—
1607C2×D4—1222no—
1608C2×D4—1222no—
1609C2×D4—1222no—
1610C2×D4—1222no—
1611C2×D4—1222no—
1612C2×D4—1222no—
1613C2×D4—1222no—
1614C2×D4—1222no—
1615C2×D4—1222no—
1616C2×D4—1222no—
1617C2×D4—1222no—
1618C2×D4—1222no—
1619C2×D4—1222no—
1620C2×D4—1222no—
1621C2×D4—2441no—
1622C2×D4—2441no—
1623C2×D4—2441no—
1624C2×D4—2441no—
1625C2×D4—2441no—
1626C2×D4—2441no—
1627C2×D4—2441no—
1628C2×D4—2441no—
1629C2×D4—2441no—
1630C2×D4—2441no—
1631C2×D4—24416no—
1632C2×D4—2441no—
1633C2×D4—2441no—
1634C2×D4—2441no—
1635C2×D4—2441no—
1636C2×D4—2441no—
1637C2×D4—2441no—
1638C2×D4—2441no—
1639C2×D4—2441no—
1640C2×D4—2441no—
1641C2×D4—2441no—
1642C2×D4—2441no—
1643C2×D4—2441no—
1644C2×D4—2441no—
1645C2×D4—2441no—
1646C2×D4—2441no—
1647C2×D4—2441no—
1648C2×D4—2441no—
1649C2×D4—2441no—
1650C2×D4—2441no—
1651C2×D4—2441no—
1652C2×D4—2441no—
1653C2×D4—2441no—
1654C2×D4—24416no—
1655C2×D4—24416no—
1656C2×D4—24416no—
1657C2×D4D4×D6114yes—
1658C22×C4—22no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—611no—
1662C22×C4—614no—
1663C22×C4—611no—
1664C22×C4—611no—
1665C22×C4—611no—
1666C22×C4—611no—
1667C22×C4—611no—
1668C22×C4—611no—
1669C22×C4—611no—
1670C22×C4—611no—
1671C22×C4—611no—
1672C22×C4—1222no—
1673C22×C4—1222no—
1674C22×C4—1222no—
1675C22×C4—1222no—
1676C22×C4—1222no—
1677C22×C4—1222no—
1678C22×C4—2441no—
1679C22×C4—2441no—
1680C22×C4—2441no—
1681C22×C4—2441no—
1682C22×C4—2441no—
1683C22×C4—2441no—
1684C22×C4—2441no—
1685C22×C4—2441no—
1686C22×C4C23×D6111yescharacteristic
1687C22×C4C23×D6111yescharacteristic
1688C22×C4C23×D6111yescharacteristic
1689C22×C4C23×D6111yescharacteristic
1690C22×C4C23×D6111yescharacteristic
1691C22×C4C23×D6111yescharacteristic
1692C22×C4C23×D6111yescharacteristic
1693C22×C4C23×D6111yescharacteristic
1694C22×C4C23×D6111yescharacteristic
1695C22×C4C23×D6111yescharacteristic
1696C4⋊C4—22no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
1699C4⋊C4—41no—
1700C4⋊C4—1222no—
1701C4⋊C4—1222no—
1702C4⋊C4—1222no—
1703C4⋊C4—2441no—
1704C4⋊C4—2441no—
1705C4⋊C4—2441no—
1706C4⋊C4—2441no—
1707C4⋊C4—2441no—
1708C4⋊C4—2441no—
1709C4⋊C4—2441no—
1710C4⋊C4—2441no—
1711C4⋊C4—2441no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—22no—
1716C22⋊C4—22no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—41no—
1722C22⋊C4—41no—
1723C22⋊C4—41no—
1724C22⋊C4—41no—
1725C22⋊C4—41no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—41no—
1729C22⋊C4—1222no—
1730C22⋊C4—1222no—
1731C22⋊C4—1222no—
1732C22⋊C4—1222no—
1733C22⋊C4—1222no—
1734C22⋊C4—1222no—
1735C22⋊C4—1222no—
1736C22⋊C4—1222no—
1737C22⋊C4—1222no—
1738C22⋊C4—1222no—
1739C22⋊C4—1222no—
1740C22⋊C4—1222no—
1741C22⋊C4—1222no—
1742C22⋊C4—1222no—
1743C22⋊C4—1222no—
1744C22⋊C4—1222no—
1745C22⋊C4—1222no—
1746C22⋊C4—1222no—
1747C22⋊C4—1222no—
1748C22⋊C4—1222no—
1749C22⋊C4—1222no—
1750C22⋊C4—1222no—
1751C22⋊C4—1222no—
1752C22⋊C4—1222no—
1753C22⋊C4—1222no—
1754C22⋊C4—1222no—
1755C22⋊C4—1222no—
1756C22⋊C4—1222no—
1757C22⋊C4—1222no—
1758C22⋊C4—2441no—
1759C22⋊C4—2441no—
1760C22⋊C4—2441no—
1761C22⋊C4—2441no—
1762C22⋊C4—2441no—
1763C22⋊C4—2441no—
1764C22⋊C4—2441no—
1765C22⋊C4—2441no—
1766C22⋊C4—2441no—
1767C22⋊C4—2441no—
1768C22⋊C4—2441no—
1769C22⋊C4—2441no—
1770C22⋊C4—2441no—
1771C22⋊C4—2441no—
1772C22⋊C4—2441no—
1773C22⋊C4—2441no—
1774C22⋊C4—2441no—
1775C22⋊C4—2441no—
1776C22⋊C4—2441no—
1777C22⋊C4—2441no—
1778C22⋊C4—2441no—
1779C22⋊C4—2441no—
1780C22⋊C4—2441no—
1781C22⋊C4—2441no—
1782C22⋊C4—2441no—
1783C22⋊C4—2441no—
1784C22⋊C4—2441no—
1785C22⋊C4—2441no—
1786C22⋊C4—2441no—
1787C22⋊C4—2441no—
1788C42—41no—
1789C42—2441no—
1790C42—2441no—
1791C42—2441no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—21no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—21no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—44no—
1830C23—612no—
1831C23—612no—
1832C23—612no—
1833C23—612no—
1834C23—612no—
1835C23—612no—
1836C23—612no—
1837C23—1228no—
1838C23—1228no—
1839C23—1228no—
1840C23—1228no—
1841C23—1221no—
1842C23—1221no—
1843C23—1221no—
1844C23—1221no—
1845C23—1221no—
1846C23—1221no—
1847C23—1221no—
1848C23—1221no—
1849C23—1221no—
1850C23—1221no—
1851C23—1221no—
1852C23—1221no—
1853C23—1221no—
1854C23—1221no—
1855C23—1221no—
1856C23—1221no—
1857C23—1221no—
1858C23—1221no—
1859C23—1221no—
1860C23—1221no—
1861C23—1221no—
1862C23—1221no—
1863C23—1221no—
1864C23—1221no—
1865C23—1221no—
1866C23—1221no—
1867C23—1221no—
1868C23—1221no—
1869C23—1221no—
1870C23—1221no—
1871C23—1221no—
1872C23—1221no—
1873C23—1221no—
1874C23—1221no—
1875C23—1221no—
1876C23—4882no—
1877C23—4882no—
1878C23—4882no—
1879C23—4882no—
1880C23—4882no—
1881C23—4882no—
1882C23—4882no—
1883C23—4882no—
1884C23—4882no—
1885C23—4882no—
1886C23—2444no—
1887C23—2444no—
1888C23—2444no—
1889C23—2444no—
1890C23—2444no—
1891C23—2444no—
1892C23—2444no—
1893C23—2444no—
1894C23—2444no—
1895C23—2444no—
1896C23—2444no—
1897C23—2444no—
1898C23—2444no—
1899C23—2444no—
1900C23—2444no—
1901C23—2444no—
1902C23—2444no—
1903C23—2444no—
1904C23—2444no—
1905C23—2444no—
1906C23—2444no—
1907C23—2444no—
1908C23—2444no—
1909C23—2444no—
1910C23—2444no—
1911C23—2444no—
1912C23—2444no—
1913C23—2444no—
1914C23—2444no—
1915C23—2444no—
1916C23—2444no—
1917C23—2444no—
1918C23—2444no—
1919C23—2444no—
1920C23—2444no—
1921C23—2444no—
1922C23—2444no—
1923C23—2444no—
1924C23—2444no—
1925C23—244128no—
1926C23—2444no—
1927C23—2444no—
1928C23—2444no—
1929C23C2×D4×D6112yes—
1930C23C2×D4×D6112yes—
1931C23#1451982212yes—
1932C23#1451982312yes—
1933C23C24×D6111yescharacteristic
1934D4—44no—
1935D4—44no—
1936D4—44no—
1937D4—44no—
1938D4—82no—
1939D4—82no—
1940D4—82no—
1941D4—4882no—
1942D4—4882no—
1943D4—4882no—
1944D4—4882no—
1945D4—4882no—
1946D4—4882no—
1947D4—4882no—
1948D4—4882no—
1949D4—4882no—
1950D4—2444no—
1951D4—2444no—
1952D4—2444no—
1953D4—2444no—
1954D4—2444no—
1955D4—2444no—
1956D4—2444no—
1957D4—2444no—
1958D4—2444no—
1959D4—2444no—
1960D4—2444no—
1961D4—2444no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—82no—
1992C2×C4—612no—
1993C2×C4—1228no—
1994C2×C4—1221no—
1995C2×C4—1221no—
1996C2×C4—1221no—
1997C2×C4—1221no—
1998C2×C4—1221no—
1999C2×C4—1221no—
2000C2×C4—1221no—
2001C2×C4—1221no—
2002C2×C4—1221no—
2003C2×C4—1221no—
2004C2×C4—1221no—
2005C2×C4—1221no—
2006C2×C4—1221no—
2007C2×C4—1221no—
2008C2×C4—1221no—
2009C2×C4—1221no—
2010C2×C4—1221no—
2011C2×C4—1221no—
2012C2×C4—1221no—
2013C2×C4—1221no—
2014C2×C4—1221no—
2015C2×C4—1221no—
2016C2×C4—1221no—
2017C2×C4—1221no—
2018C2×C4—1221no—
2019C2×C4—1221no—
2020C2×C4—1221no—
2021C2×C4—1221no—
2022C2×C4—1221no—
2023C2×C4—4882no—
2024C2×C4—2444no—
2025C2×C4—2444no—
2026C2×C4—2444no—
2027C2×C4C2×D4×D6112yes—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—22no—
2039C22—22no—
2040C22—416no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—41no—
2061C22—41no—
2062C22—41no—
2063C22—41no—
2064C22—614no—
2065C22—1222no—
2066C22—1222no—
2067C22—1222no—
2068C22—1222no—
2069C22—1222no—
2070C22—1222no—
2071C22—1222no—
2072C22—1222no—
2073C22—1222no—
2074C22—1222no—
2075C22—1222no—
2076C22—1222no—
2077C22—1222no—
2078C22—1222no—
2079C22—1222no—
2080C22—1222no—
2081C22—1222no—
2082C22—1222no—
2083C22—4888no—
2084C22—4888no—
2085C22—24416no—
2086C22—24416no—
2087C22—24416no—
2088C22—24416no—
2089C22—24416no—
2090C22—24416no—
2091C22—2441no—
2092C22—2441no—
2093C22—2441no—
2094C22—2441no—
2095C22—2441no—
2096C22—2441no—
2097C22—2441no—
2098C22—2441no—
2099C22—2441no—
2100C22—2441no—
2101C22—2441no—
2102C22—2441no—
2103C22—2441no—
2104C22—2441no—
2105C22—2441no—
2106C22—2441no—
2107C22—2441no—
2108C22—2441no—
2109C22—2441no—
2110C22—2441no—
2111C22—2441no—
2112C22—2441no—
2113C22—2441no—
2114C22C22×D4×D6111yescharacteristic
2115C22H(5,𝔽2)×D6111yescharacteristic
2116C22H(5,𝔽2)×D6111yescharacteristic
2117C22H(5,𝔽2)×D6111yescharacteristic
2118C22H(5,𝔽2)×D6111yescharacteristic
2119C22C2×#1451982211yescharacteristic
2120C22C2×#1451982311yescharacteristic
2121C4—22no—
2122C4—41no—
2123C4—41no—
2124C4—41no—
2125C4—41no—
2126C4—41no—
2127C4—41no—
2128C4—41no—
2129C4—41no—
2130C4—41no—
2131C4—1222no—
2132C4—2441no—
2133C4—2441no—
2134C4—2441no—
2135C4—2441no—
2136C4—2441no—
2137C4—2441no—
2138C4—2441no—
2139C4—2441no—
2140C4—2441no—
2141C2—42no—
2142C2—42no—
2143C2—42no—
2144C2—42no—
2145C2—81no—
2146C2—1224no—
2147C2—4881no—
2148C2—2442no—
2149C2—2442no—
2150C2—2442no—
2151C2—2442no—
2152C2#534×D6111yescharacteristic
2153C2#2145944711yescharacteristic
2154C2#2145944911yescharacteristic
2155C2#2145996811yescharacteristic
2156C2#2145997011yescharacteristic
2157C2#2145997211yescharacteristic
2158C2#2145997311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2678C2
hypercenter#2678D61
hypocenterC61#36714
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#16840320C2semidirect
2. C2×#120×D61C2semidirect
3. #21454097C2semidirect
4. #21454095C2semidirect
5. #21452384C2semidirect
6. #21452382C2semidirect
7. #21452379C2semidirect
8. #21452377C2semidirect
9. #21452154C2semidirect
10. #21452153C2semidirect
11. #21452152C2semidirect
12. #21452152C2semidirect
13. #21452147C2semidirect
14. #21452146C2semidirect
15. #21452145C2semidirect
16. #21452144C2semidirect
17. #21452139C2semidirect
18. #21452138C2semidirect
19. #21452137C2semidirect
20. #21451593C2semidirect
21. #21451591C2semidirect
22. #21449203C2semidirect
23. #21449201C2semidirect
24. #21449199C2semidirect
25. #21449197C2semidirect
26. #21449145C2semidirect
27. #21449143C2semidirect
28. #21449128C2semidirect
29. #21449128C2semidirect
30. #21448398C2semidirect
31. C61×#2678C2semidirect
32. C25×D61C22semidirect
36. C22×D4×D61C22semidirect
38. C2×#14519762C22semidirect
39. C2×#14519762C22semidirect
40. C2×#14519761C22semidirect
41. C2×#14519760C22semidirect
42. C2×#14519759C22semidirect
43. C2×#14519759C22semidirect
44. C2×#14519758C22semidirect
45. C2×#14519751C22semidirect
46. C2×#14519749C22semidirect
47. C2×#14519749C22semidirect
54. C2×#14519747C22semidirect
55. C2×#14519747C22semidirect
56. C2×#14519747C22semidirect
57. C2×#14519747C22semidirect
58. C2×#14519747C22semidirect
59. C2×#14519747C22semidirect
61. C2×#14519746C22semidirect
65. C2×#14519745C22semidirect
66. C2×#14519745C22semidirect
67. C2×#14519745C22semidirect
68. C2×#14519745C22semidirect
69. C2×#14519745C22semidirect
70. C2×#14519745C22semidirect
71. C2×#14519745C22semidirect
72. C2×#14519745C22semidirect
73. C2×#14519745C22semidirect
75. C2×#14519735C22semidirect
76. C2×#14519734C22semidirect
77. C22×#11758198C22semidirect
78. C2×C22⋊C4×D61C22semidirect
79. C2×C22⋊C4×D61C22semidirect
80. C2×C22⋊C4×D61C22semidirect
81. #16839691C22semidirect
82. #16839691C22semidirect
83. #16839690C22semidirect
84. #16839690C22semidirect
85. #16839689C22semidirect
86. #16839688C22semidirect
87. #16839687C22semidirect
88. #16839686C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839685C22semidirect
92. #16839684C22semidirect
93. #16839684C22semidirect
94. #16839684C22semidirect
95. #16839680C22semidirect
96. #16839680C22semidirect
97. #16839680C22semidirect
98. #16839680C22semidirect
99. #16839679C22semidirect
100. #16839679C22semidirect
101. #16839679C22semidirect
102. #16839679C22semidirect
103. #16839678C22semidirect
104. #16839678C22semidirect
105. #16839678C22semidirect
106. #16839678C22semidirect
107. #16839678C22semidirect
108. #16839678C22semidirect
109. #16839677C22semidirect
110. #16839677C22semidirect
111. #16839677C22semidirect
112. #16839677C22semidirect
113. #16839677C22semidirect
114. #16839677C22semidirect
115. #16839676C22semidirect
116. #16839676C22semidirect
117. #16839671C22semidirect
118. #16839671C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839670C22semidirect
122. #16839670C22semidirect
123. #16839665C22semidirect
124. #16839665C22semidirect
125. #16839664C22semidirect
126. #16839664C22semidirect
127. #16839663C22semidirect
128. #16839663C22semidirect
129. #16839662C22semidirect
130. #16839662C22semidirect
131. #16839662C22semidirect
132. #16839662C22semidirect
133. #16839662C22semidirect
134. #16839662C22semidirect
135. #16839662C22semidirect
136. #16839662C22semidirect
137. #16839656C22semidirect
138. #16839655C22semidirect
139. #16839654C22semidirect
140. #16839653C22semidirect
141. #16839652C22semidirect
142. #16839651C22semidirect
143. #16839650C22semidirect
144. #16839642C22semidirect
145. #16839641C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
148. #16839640C22semidirect
149. #16839640C22semidirect
150. #16839639C22semidirect
151. #16839638C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839636C22semidirect
156. #16839636C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839618C22semidirect
160. #16839617C22semidirect
161. #16839617C22semidirect
162. #16839617C22semidirect
163. #16839617C22semidirect
164. #16839617C22semidirect
165. #16839617C22semidirect
166. #16839617C22semidirect
167. #16839617C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. #16839617C22semidirect
173. #16839617C22semidirect
174. C2×#123×C61C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#120×C61C22semidirect
177. C2×#120×C61C22semidirect
178. C61×#397C22semidirect
179. C61×#396C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#392C22semidirect
183. C61×#392C22semidirect
184. C61×#390C22semidirect
185. C61×#390C22semidirect
186. C61×#388C22semidirect
187. C61×#386C22semidirect
188. C61×#379C22semidirect
203. C24×D61C23semidirect
224. C22×C22⋊D61C23semidirect
236. C2×D4×D61D4semidirect
237. C23×Dic61C23semidirect
241. C22×C4×D61C23semidirect
280. C2×C4⋊Dic61C23semidirect
281. C2×C4⋊Dic61C23semidirect
282. C2×C4⋊Dic61C23semidirect
283. C2×C4⋊Dic61C23semidirect
284. C2×#11758196C23semidirect
285. C2×#11758196C23semidirect
286. C2×#11758196C23semidirect
287. C2×#11758196C23semidirect
288. C2×#11758196C23semidirect
289. C2×#11758196C23semidirect
290. C2×#11758196C23semidirect
291. C2×#11758196C23semidirect
304. C2×C22⋊Dic61C23semidirect
305. C2×C22⋊Dic61C23semidirect
306. C2×C22⋊Dic61C23semidirect
307. C2×C22⋊Dic61C23semidirect
308. C2×C22⋊Dic61C23semidirect
340. C2×#11758198C23semidirect
341. C2×#11758198C23semidirect
342. C2×#11758198C23semidirect
343. C2×#11758198C23semidirect
344. C2×#11758198C23semidirect
345. C2×#11758198C23semidirect
346. C2×#11758198C23semidirect
347. C2×#11758198C23semidirect
348. C2×#11758198C23semidirect
349. C2×#11758198C23semidirect
350. C2×#11758198C23semidirect
351. C2×#11758198C23semidirect
355. C2×C4×Dic61C23semidirect
356. C2×C4×Dic61C23semidirect
357. C2×C4×Dic61C23semidirect
358. #14519684C23semidirect
359. #14519684C23semidirect
360. #14519684C23semidirect
361. #14519684C23semidirect
362. #14519684C23semidirect
363. #14519684C23semidirect
364. #14519684C23semidirect
365. #14519684C23semidirect
366. #14519684C23semidirect
367. #14519684C23semidirect
368. #14519684C23semidirect
369. #14519684C23semidirect
377. C22×D4×C61C23semidirect
378. C23×C4×C61C23semidirect
383. C2×C4⋊C4×C61C23semidirect
384. C2×C4⋊C4×C61C23semidirect
385. C2×C4⋊C4×C61C23semidirect
386. C2×C4⋊C4×C61C23semidirect
399. C2×C22⋊C4×C61C23semidirect
400. C2×C22⋊C4×C61C23semidirect
401. C2×C22⋊C4×C61C23semidirect
402. C2×C22⋊C4×C61C23semidirect
403. C2×C22⋊C4×C61C23semidirect
404. C2×C42×C61C23semidirect
405. #95×C61C23semidirect
406. #95×C61C23semidirect
407. #95×C61C23semidirect
408. #95×C61C23semidirect
1081. #2678D61semidirect
1124. C2×#123C2×D61semidirect
1128. C2×#121C2×D61semidirect
1156. C2×#120C2×D61semidirect
1157. C2×#120C2×D61semidirect
1171. #397C2×D61semidirect
1179. #396C2×D61semidirect
1202. #394C2×D61semidirect
1203. #394C2×D61semidirect
1210. #392C2×D61semidirect
1211. #392C2×D61semidirect
1226. #390C2×D61semidirect
1227. #390C2×D61semidirect
1235. #388C2×D61semidirect
1247. #386C2×D61semidirect
1267. #379C2×D61semidirect
1268. C61#36714semidirect
1324. C22×D4C22×D61semidirect
1330. C23×C4C22×D61semidirect
1385. C2×C4⋊C4C22×D61semidirect
1386. C2×C4⋊C4C22×D61semidirect
1387. C2×C4⋊C4C22×D61semidirect
1388. C2×C4⋊C4C22×D61semidirect
1464. C2×C22⋊C4C22×D61semidirect
1465. C2×C22⋊C4C22×D61semidirect
1466. C2×C22⋊C4C22×D61semidirect
1467. C2×C22⋊C4C22×D61semidirect
1468. C2×C22⋊C4C22×D61semidirect
1472. C2×C42C22×D61semidirect
1485. #95C22×D61semidirect
1486. #95C22×D61semidirect
1487. #95C22×D61semidirect
1488. #95C22×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403202
C2×#120×D612
#214540972
#214540952
#214523842
#214523822
#214523792
#214523772
#214521542
#214521532
#214521522
#214521472
#214521462
#214521452
#214521442
#214521392
#214521382
#214521372
#214515932
#214515912
#214492032
#214492012
#214491992
#214491972
#214491452
#214491432
#214491282
#214483982
C61×#26782
#3671461