Finite Group Databasebeta

← #29886802

Subgroups — #29886802

Order 15616.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840348C211yesmaximal, characteristic, complemented
2C2×#121×D61C211yesmaximal, characteristic, complemented
3#21454107C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452307C211yesmaximal, characteristic, complemented
6#21452305C211yesmaximal, characteristic, complemented
7#21452295C211yesmaximal, characteristic, complemented
8#21452293C211yesmaximal, characteristic, complemented
9#21452127C211yesmaximal, characteristic, complemented
10#21452124C211yesmaximal, characteristic, complemented
11#21452123C211yesmaximal, characteristic, complemented
12#21452120C211yesmaximal, characteristic, complemented
13#21452111C211yesmaximal, characteristic, complemented
14#21452110C211yesmaximal, characteristic, complemented
15#21452109C211yesmaximal, characteristic, complemented
16#21452109C211yesmaximal, characteristic, complemented
17#21452060C211yesmaximal, characteristic, complemented
18#21452055C211yesmaximal, characteristic, complemented
19#21452052C211yesmaximal, characteristic, complemented
20#21451625C211yesmaximal, characteristic, complemented
21#21451558C211yesmaximal, characteristic, complemented
22#21451167C211yesmaximal, characteristic, complemented
23#21451164C211yesmaximal, characteristic, complemented
24#21449192C211yesmaximal, characteristic, complemented
25#21449190C211yesmaximal, characteristic, complemented
26#21449188C211yesmaximal, characteristic, complemented
27#21449186C211yesmaximal, characteristic, complemented
28#21449171C211yesmaximal, characteristic, complemented
29#21449170C211yesmaximal, characteristic, complemented
30#21448430C211yesmaximal, characteristic, complemented
31C61×#2671C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36#16840348—28no—
37C2×#14519772C2211yescharacteristic, complemented
38C2×#14519770C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519762C2211yescharacteristic, complemented
42C2×#14519757C2211yescharacteristic
43C2×#14519757C2211yescharacteristic, complemented
44C2×#14519756C2211yescharacteristic, complemented
45C2×#14519752C2211yescharacteristic
46C2×#14519752C2211yescharacteristic, complemented
47C2×#14519751C2211yescharacteristic
48C2×#14519751C2211yescharacteristic, complemented
49C2×#14519751C2211yescharacteristic, complemented
50C2×#14519751C2211yescharacteristic, complemented
51C2×#14519750C2211yescharacteristic
52C2×#14519750C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic, complemented
55C2×#14519750C2211yescharacteristic, complemented
56C2×#14519750C2211yescharacteristic, complemented
57C2×#14519750C2211yescharacteristic, complemented
58C2×#14519750C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic
60C2×#14519749C2211yescharacteristic
61C2×#14519749C2211yescharacteristic, complemented
62C2×#14519749C2211yescharacteristic, complemented
63C2×#14519749C2211yescharacteristic, complemented
64C2×#14519748C2211yescharacteristic
65C2×#14519748C2211yescharacteristic, complemented
66C2×#14519748C2211yescharacteristic, complemented
67#121×D61—28no—
68C2×#14519747C2211yescharacteristic
69C2×#14519747C2211yescharacteristic
70C2×#14519747C2211yescharacteristic
71C2×#14519745C2211yescharacteristic
72C2×#14519745C2211yescharacteristic
73C2×#14519745C2211yescharacteristic
74C2×#14519739C2211yescharacteristic
75C2×C4×C22⋊D61C2211yescharacteristic
76C2×C4⋊C4×D61C2211yescharacteristic
77C22×#11758198C2211yescharacteristic
78C2×C22⋊C4×D61C2211yescharacteristic
79C2×C22⋊C4×D61C2211yescharacteristic
80C2×C22⋊C4×D61C2211yescharacteristic
81#16839697C2211yescharacteristic, complemented
82#16839696C2211yescharacteristic, complemented
83#16839695C2211yescharacteristic, complemented
84#16839693C2211yescharacteristic, complemented
85#16839691C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839685C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839684C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic, complemented
95#16839680C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic, complemented
97#16839679C2211yescharacteristic, complemented
98#16839679C2211yescharacteristic, complemented
99#16839678C2211yescharacteristic, complemented
100#16839678C2211yescharacteristic, complemented
101#16839678C2211yescharacteristic, complemented
102#16839678C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839677C2211yescharacteristic, complemented
105#16839677C2211yescharacteristic, complemented
106#16839677C2211yescharacteristic, complemented
107#16839676C2211yescharacteristic, complemented
108#16839675C2211yescharacteristic, complemented
109#16839674C2211yescharacteristic, complemented
110#16839672C2211yescharacteristic, complemented
111#16839672C2211yescharacteristic, complemented
112#16839671C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic, complemented
114#16839671C2211yescharacteristic, complemented
115#16839671C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839670C2211yescharacteristic, complemented
122#16839670C2211yescharacteristic, complemented
123#16839665C2211yescharacteristic, complemented
124#16839663C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839649C2211yescharacteristic, complemented
128#16839647C2211yescharacteristic, complemented
129#16839645C2211yescharacteristic, complemented
130#16839643C2211yescharacteristic, complemented
131#16839642C2211yescharacteristic, complemented
132#16839641C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839637C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839636C2211yescharacteristic, complemented
153#16839636C2211yescharacteristic, complemented
154#16839636C2211yescharacteristic, complemented
155#16839635C2211yescharacteristic, complemented
156#16839635C2211yescharacteristic, complemented
157#16839634C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic
159#16839633C2211yescharacteristic
160#16839633C2211yescharacteristic, complemented
161#16839633C2211yescharacteristic, complemented
162#16839633C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic
164#16839621C2211yescharacteristic
165#16839621C2211yescharacteristic, complemented
166#16839620C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic
169#16839619C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic
171#16839617C2211yescharacteristic
172#16839617C2211yescharacteristic
173#16839617C2211yescharacteristic
174C2×#123×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic, complemented
178C61×#399C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#385C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×Dic122C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C2×D4×D61—24no—
215C2×D4×D61—24no—
216C2×D4×D61—24no—
217C2×D4×D61—42no—
218C2×D4×D61—42no—
219C2×D4×D61—42no—
220C2×D4×D61—42no—
221C2×D4×D61—42no—
222C2×D4×D61—42no—
223C23×Dic61C2311yescharacteristic
224C23×Dic61C2311yescharacteristic
225C22×C4×D61—24no—
226C22×C4×D61—42no—
227C22×C4×D61—42no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233C22×C4×D61C2311yescharacteristic
234C22×C4×D61C2311yescharacteristic
235C22×C4×D61C2311yescharacteristic
236C22×C4×D61C2311yescharacteristic
237#14519772—24no—
238#14519770—24no—
239#14519763—24no—
240#14519763—24no—
241#14519762—24no—
242#14519757—24no—
243#14519757—42no—
244#14519756—42no—
245#14519752—24no—
246#14519752—42no—
247#14519751—24no—
248#14519751—24no—
249#14519751—42no—
250#14519751—42no—
251#14519750—24no—
252#14519750—24no—
253#14519750—24no—
254#14519750—42no—
255#14519750—42no—
256#14519750—42no—
257#14519750—42no—
258#14519750—42no—
259#14519749—24no—
260#14519749—24no—
261#14519749—42no—
262#14519749—42no—
263#14519749—42no—
264#14519748—24no—
265#14519748—24no—
266#14519748—42no—
267#14519747—24no—
268#14519747—42no—
269#14519747—42no—
270#14519745—24no—
271#14519745—42no—
272#14519745—42no—
273#14519739—24no—
274C4×C22⋊D61—24no—
275C2×C4⋊Dic61C2311yescharacteristic
276C2×C4⋊Dic61C2311yescharacteristic
277C2×C4⋊Dic61C2311yescharacteristic
278C2×C4⋊Dic61C2311yescharacteristic
279C2×C4⋊Dic61C2311yescharacteristic
280C2×C4⋊Dic61C2311yescharacteristic
281C2×C4⋊Dic61C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×#11758196C2311yescharacteristic
284C2×#11758196C2311yescharacteristic
285C2×#11758196C2311yescharacteristic
286C2×#11758196C2311yescharacteristic
287C2×#11758196C2311yescharacteristic
288C2×#11758196C2311yescharacteristic
289C2×#11758196C2311yescharacteristic
290C2×#11758196C2311yescharacteristic
291C2×#11758196C2311yescharacteristic
292C2×#11758196C2311yescharacteristic
293C2×#11758196C2311yescharacteristic
294C4⋊C4×D61—24no—
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic
308C2×#11758198—42no—
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
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×#11758198C2311yescharacteristic
337C2×#11758198C2311yescharacteristic
338C2×#11758198C2311yescharacteristic
339C2×#11758198C2311yescharacteristic
340C2×#11758198C2311yescharacteristic
341C22⋊C4×D61—24no—
342C22⋊C4×D61—42no—
343C22⋊C4×D61D418yescomplemented
344C2×C4×Dic61C2311yescharacteristic
345C2×C4×Dic61C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360#14519684C2311yescharacteristic
361#14519684C2311yescharacteristic
362#14519684C2311yescharacteristic
363#14519684C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C22×D4×C61C2311yescharacteristic
366C22×D4×C61C2311yescharacteristic
367C22×D4×C61C2311yescharacteristic
368C22×D4×C61C2311yescharacteristic
369C22×D4×C61C2311yescharacteristic
370C23×C4×C61C2311yescharacteristic
371C23×C4×C61C2311yescharacteristic
372C23×C4×C61C2311yescharacteristic
373#123×C61—24no—
374#121×C61—24no—
375#121×C61—42no—
376#121×C61—42no—
377C2×C4⋊C4×C61C2311yescharacteristic
378C2×C4⋊C4×C61C2311yescharacteristic
379C2×C4⋊C4×C61C2311yescharacteristic
380C2×C4⋊C4×C61C2311yescharacteristic
381C2×C4⋊C4×C61C2311yescharacteristic
382C2×C4⋊C4×C61C2311yescharacteristic
383C2×C4⋊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
395C2×C22⋊C4×C61C2311yescharacteristic
396C2×C22⋊C4×C61C2311yescharacteristic
397#95×C61C2311yescharacteristic
398#95×C61C2311yescharacteristic
399#95×C61C2311yescharacteristic
400#95×C61C2311yescharacteristic
401#95×C61C2311yescharacteristic
402#95×C61C2311yescharacteristic
403C24×C61C2411yescharacteristic
404C24×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C23×D61—22no—
408C23×D61—22no—
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—22no—
413C23×D61—22no—
414C23×D61—22no—
415C23×D61—22no—
416C23×D61—22no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61—41no—
423C23×D61—41no—
424C23×D61—41no—
425C23×D61—41no—
426C23×D61—41no—
427C23×D61C2×D414yes—
428C23×D61C2411yescharacteristic
429C23×D61C2411yescharacteristic
430C23×D61C2411yescharacteristic
431C23×D61C2411yescharacteristic
432C23×D61C2411yescharacteristic
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—22no—
439C2×D4×C61—22no—
440C2×D4×C61—22no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C2×D4×C61—41no—
450C2×D4×C61—41no—
451C22×C4×C61—22no—
452C22×C4×C61—22no—
453C22×C4×C61—22no—
454C22×C4×C61—41no—
455C22×C4×C61—41no—
456C22×C4×C61—41no—
457C22×C4×C61—41no—
458C22×C4×C61—41no—
459C22×C4×C61—41no—
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C2×C22⋊D61—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—22no—
490C2×C22⋊D61—22no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61—41no—
509C2×C22⋊D61—41no—
510C2×C22⋊D61—41no—
511C2×C22⋊D61—41no—
512C2×C22⋊D61—41no—
513C22×Dic61—22no—
514C22×Dic61—22no—
515C22×Dic61—41no—
516C22×Dic61—41no—
517C22×Dic61—41no—
518C22×Dic61—41no—
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530D4×D61—416no—
531D4×D61—416no—
532D4×D61—416no—
533C2×D244—22no—
534C2×D244—22no—
535C2×D244—22no—
536C2×D244—22no—
537C2×D244—22no—
538C2×D244—22no—
539C2×D244—22no—
540C2×D244—22no—
541C2×D244—22no—
542C2×D244—22no—
543C2×D244—22no—
544C2×D244—41no—
545C2×D244—41no—
546C2×D244—41no—
547C2×D244—41no—
548C2×D244—41no—
549C2×D244—41no—
550C2×D244—41no—
551C2×D244—41no—
552C2×D244—41no—
553C2×D244—41no—
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—22no—
557C2×C4×D61—22no—
558C2×C4×D61—22no—
559C2×C4×D61—22no—
560C2×C4×D61—22no—
561C2×C4×D61—22no—
562C2×C4×D61—22no—
563C2×C4×D61—416no—
564C2×C4×D61—41no—
565C2×C4×D61—41no—
566C2×C4×D61—41no—
567C2×C4×D61—41no—
568C2×C4×D61—41no—
569C2×C4×D61—41no—
570C2×C4×D61—41no—
571C2×C4×D61—41no—
572C2×C4×D61—41no—
573C2×C4×D61—41no—
574C2×C4×D61—41no—
575C2×C4×D61—41no—
576C2×C4×D61—41no—
577C2×C4×D61—41no—
578C2×C4×D61—41no—
579C2×C4×D61—41no—
580C2×C4×D61C2×D414yes—
581C2×C4×D61C2×D414yes—
582C2×Dic122—22no—
583C2×Dic122—41no—
584C2×Dic122—41no—
585C4⋊C4×C61—22no—
586C4⋊C4×C61—22no—
587C4⋊C4×C61—22no—
588C4⋊C4×C61—41no—
589C4⋊C4×C61—41no—
590C4⋊C4×C61—41no—
591C4⋊C4×C61—41no—
592C22⋊C4×C61—22no—
593C22⋊C4×C61—22no—
594C22⋊C4×C61—22no—
595C22⋊C4×C61—22no—
596C22⋊C4×C61—22no—
597C22⋊C4×C61—22no—
598C22⋊C4×C61—41no—
599C22⋊C4×C61—41no—
600C22⋊C4×C61—41no—
601C22⋊C4×C61—41no—
602C22⋊C4×C61—41no—
603C22⋊C4×C61—41no—
604C22⋊C4×C61C2×D414yes—
605C22⋊Dic61—22no—
606C22⋊Dic61—22no—
607C22⋊Dic61—22no—
608C22⋊Dic61—22no—
609C22⋊Dic61—41no—
610C22⋊Dic61—41no—
611C22⋊Dic61—41no—
612C22⋊Dic61—41no—
613C22⋊Dic61—41no—
614C22⋊Dic61—41no—
615C22⋊Dic61—41no—
616C22⋊Dic61—41no—
617C22⋊Dic61C2×D414yes—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—22no—
622#11758198—22no—
623#11758198—22no—
624#11758198—22no—
625#11758198—22no—
626#11758198—22no—
627#11758198—22no—
628#11758198—22no—
629#11758198—22no—
630#11758198—22no—
631#11758198—22no—
632#11758198—22no—
633#11758198—22no—
634#11758198—41no—
635#11758198—41no—
636#11758198—41no—
637#11758198—41no—
638#11758198—41no—
639#11758198—41no—
640#11758198—41no—
641#11758198—41no—
642#11758198—41no—
643#11758198—41no—
644#11758198—41no—
645#11758198—41no—
646#11758198—41no—
647#11758198—41no—
648#11758198C2×D414yes—
649#11758198C2×D414yes—
650C4⋊Dic61—22no—
651C4⋊Dic61—22no—
652C4⋊Dic61—22no—
653C4⋊Dic61—22no—
654C4⋊Dic61—22no—
655C4⋊Dic61—41no—
656C4⋊Dic61—41no—
657#11758196—22no—
658#11758196—22no—
659#11758196—22no—
660#11758196—22no—
661#11758196—22no—
662#11758196—22no—
663#11758196—41no—
664#11758196—41no—
665#11758196—41no—
666#11758196—41no—
667#11758196—41no—
668#11758196—41no—
669C4×Dic61—22no—
670C4×Dic61—22no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—21no—
693C23×C61—21no—
694C23×C61—21no—
695C23×C61—21no—
696C23×C61—21no—
697C23×C61C22×D412yes—
698C23×C61H(5,𝔽2)12yes—
699C23×C61C2511yescharacteristic
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—28no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—28no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—21no—
721C22×D61—21no—
722C22×D61—21no—
723C22×D61—21no—
724C22×D61—21no—
725C22×D61—21no—
726C22×D61—21no—
727C22×D61—21no—
728C22×D61—21no—
729C22×D61—21no—
730C22×D61—21no—
731C22×D61—21no—
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—82no—
744C22×D61—82no—
745C22×D61—82no—
746C22×D61—82no—
747C22×D61—82no—
748C22×D61—82no—
749C22×D61—82no—
750C22×D61—82no—
751C22×D61C22×D412yes—
752C22×D61C22×D412yes—
753C22×D61H(5,𝔽2)12yes—
754C22×D61H(5,𝔽2)12yes—
755C22×D612−1+412yes—
756D4×C61—44no—
757D4×C61—44no—
758D4×C61—44no—
759D4×C61—82no—
760D4×C61—82no—
761D4×C61—82no—
762C2×C4×C61—21no—
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—44no—
793C2×C4×C61—82no—
794C2×C4×C61—82no—
795C2×C4×C61C22×D412yes—
796C2×C4×C61C22×D412yes—
797C2×C4×C61H(5,𝔽2)12yes—
798C22⋊D61—44no—
799C22⋊D61—44no—
800C22⋊D61—44no—
801C22⋊D61—44no—
802C22⋊D61—44no—
803C22⋊D61—44no—
804C22⋊D61—44no—
805C22⋊D61—82no—
806C22⋊D61—82no—
807C22⋊D61—82no—
808C22⋊D61—82no—
809C22⋊D61—82no—
810C22⋊D61—82no—
811C22⋊D61—82no—
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—21no—
838C2×Dic61—21no—
839C2×Dic61—21no—
840C2×Dic61—21no—
841C2×Dic61—21no—
842C2×Dic61—44no—
843C2×Dic61—82no—
844C2×Dic61C22×D412yes—
845C2×Dic61C22×D412yes—
846C2×Dic61H(5,𝔽2)12yes—
847D244—44no—
848D244—44no—
849D244—44no—
850D244—44no—
851D244—82no—
852D244—82no—
853D244—82no—
854C4×D61—28no—
855C4×D61—44no—
856C4×D61—44no—
857C4×D61—44no—
858C4×D61—44no—
859C4×D61—44no—
860C4×D61—82no—
861C4×D61—82no—
862C4×D61—82no—
863Dic122—82no—
864#36706—611nomaximal, Sylow
865C22×C61—22no—
866C22×C61—22no—
867C22×C61—22no—
868C22×C61—22no—
869C22×C61—22no—
870C22×C61—22no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61C23×D411yescharacteristic
894C22×C61C2×H(5,𝔽2)11yescharacteristic
895C22×C61C2×H(5,𝔽2)11yescharacteristic
896C22×C61C2×H(5,𝔽2)11yescharacteristic
897C22×C61C2×H(5,𝔽2)11yescharacteristic
898C22×C61C2×H(5,𝔽2)11yescharacteristic
899C22×C61C2×2−1+411yescharacteristic
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—22no—
911C2×D61—22no—
912C2×D61—416no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—41no—
923C2×D61—41no—
924C2×D61—41no—
925C2×D61—41no—
926C2×D61—41no—
927C2×D61—41no—
928C2×D61—41no—
929C2×D61—41no—
930C2×D61—41no—
931C2×D61—41no—
932C2×D61—41no—
933C2×D61—41no—
934C2×D61—41no—
935C2×D61—88no—
936C2×D61—88no—
937C2×D61#53714yes—
938C4×C61—22no—
939C4×C61—22no—
940C4×C61—22no—
941C4×C61—41no—
942C4×C61—41no—
943C4×C61—41no—
944C4×C61—41no—
945C4×C61—41no—
946C4×C61—41no—
947C4×C61—41no—
948C4×C61—41no—
949Dic61—22no—
950Dic61—22no—
951Dic61—22no—
952Dic61—41no—
953Dic61—41no—
954Dic61—41no—
955Dic61—41no—
956Dic61—41no—
957Dic61—41no—
958Dic61—41no—
959Dic61—41no—
960C2×#538—611no—
961C22×#121—611no—
962#2848—611no—
963#2847—611no—
964#2691—611no—
965#2691—611no—
966#2691—611no—
967#2691—611no—
968#2676—611no—
969#2676—611no—
970#2676—611no—
971#2676—611no—
972#2675—611no—
973#2675—611no—
974#2675—611no—
975#2675—611no—
976#2671—611no—
977#2671—611no—
978#2671—611no—
979#2671D6111yescharacteristic, complemented
980#2626—611no—
981#2617—611no—
982#2579—611no—
983#2579—611no—
984#2410—611no—
985#2410—611no—
986#2410—611no—
987#2410—611no—
988#2408—611no—
989#2408—611no—
990#2315—611no—
991C2×C61—42no—
992C2×C61—42no—
993C2×C61—81no—
994C2×C61—81no—
995C2×C61C2×#53711yescharacteristic
996C2×C61#348411yescharacteristic
997C2×C61#348411yescharacteristic
998C2×C61#353611yescharacteristic
999C2×C61#353611yescharacteristic
1000C2×C61#353711yescharacteristic
1001C2×C61#353711yescharacteristic
1002D61—24no—
1003D61—42no—
1004D61—42no—
1005D61—81no—
1006D61—81no—
1007C23×D4—611no—
1008C23×D4—611no—
1009C23×D4—611no—
1010C24×C4—611no—
1011#538—1228no—
1012C2×#126—611no—
1013C2×#126—611no—
1014C2×#124—611no—
1015C2×#124—611no—
1016C2×#123—611no—
1017C2×#123C2×D6111yescharacteristic, complemented
1018C2×C22⋊Q8—611no—
1019C2×C22⋊Q8—611no—
1020C2×C22⋊Q8—611no—
1021C2×#121—611no—
1022C2×#121—611no—
1023C2×#121—611no—
1024C2×#121—611no—
1025C2×#121—611no—
1026C2×#121—611no—
1027C2×#121—611no—
1028C2×#121—611no—
1029C2×#121—611no—
1030C2×#121—611no—
1031C2×#121—611no—
1032C2×#121—611no—
1033C2×#121—611no—
1034C2×#121—611no—
1035C2×#121—611no—
1036C2×#121—611no—
1037C2×#121—611no—
1038C2×#121—611no—
1039C2×#121—611no—
1040C2×#121—611no—
1041C2×#121—611no—
1042C2×#121—611no—
1043C2×#121—1228no—
1044C2×#121C2×D6111yescharacteristic
1045C2×#121C2×D6111yescharacteristic, complemented
1046C2×#121C2×D6111yescharacteristic, complemented
1047C2×#120—611no—
1048C2×#120—611no—
1049C2×#120—611no—
1050C2×#120—611no—
1051C2×#120—611no—
1052C2×#120—611no—
1053C2×C4×D4—611no—
1054C2×C4×D4—611no—
1055C22×C4⋊C4—611no—
1056C22×C22⋊C4—611no—
1057C22×C22⋊C4—611no—
1058C22×C22⋊C4—611no—
1059C22×C22⋊C4—611no—
1060#399—611no—
1061#399C2×D6111yescharacteristic, complemented
1062#398—611no—
1063#398—611no—
1064#398—611no—
1065#398C2×D6111yescharacteristic, complemented
1066#397—611no—
1067#397—611no—
1068#396—611no—
1069#396—611no—
1070#396—611no—
1071#396—611no—
1072#396—611no—
1073#396—611no—
1074#396—611no—
1075#396—611no—
1076#394—611no—
1077#394—611no—
1078#394—611no—
1079#394—611no—
1080#394—611no—
1081#394—611no—
1082#394—611no—
1083#394—611no—
1084#394—611no—
1085#394—611no—
1086#394—611no—
1087#394—611no—
1088#394—611no—
1089#394C2×D6111yescharacteristic, complemented
1090#394C2×D6111yescharacteristic, complemented
1091#394C2×D6111yescharacteristic, complemented
1092#393—611no—
1093#393—611no—
1094#392—611no—
1095#392—611no—
1096#392—611no—
1097#392—611no—
1098#392—611no—
1099#392—611no—
1100#392—611no—
1101#392—611no—
1102#392—611no—
1103#392—611no—
1104#392—611no—
1105#392—611no—
1106#392—611no—
1107#392C2×D6111yescharacteristic, complemented
1108#390—611no—
1109#390—611no—
1110#390—611no—
1111#390—611no—
1112#387—611no—
1113#387—611no—
1114#387—611no—
1115#387—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386—611no—
1123#386—611no—
1124#386—611no—
1125#386—611no—
1126#386—611no—
1127#386—611no—
1128#386—611no—
1129#386—611no—
1130#386C2×D6111yescharacteristic, complemented
1131#386C2×D6111yescharacteristic, complemented
1132#385—611no—
1133#385—611no—
1134#385—611no—
1135#385—611no—
1136#385—611no—
1137#385—611no—
1138#385—611no—
1139#385—611no—
1140#385—611no—
1141#385—611no—
1142#385—611no—
1143#385—611no—
1144#385—611no—
1145#385—611no—
1146#385—611no—
1147#385—611no—
1148#385—611no—
1149#385—611no—
1150#385C2×D6111yescharacteristic, complemented
1151#385C2×D6111yescharacteristic, complemented
1152#380—611no—
1153#380—611no—
1154#380—611no—
1155#380—611no—
1156#380—611no—
1157#380—611no—
1158#380—611no—
1159#380C2×D6111yescharacteristic, complemented
1160#379—611no—
1161#379—611no—
1162#379—611no—
1163#379—611no—
1164C61#3670611yescharacteristic, complemented, Sylow
1165C25—611no—
1166C25—611no—
1167C25—611no—
1168C22×Q8—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C22×D4—611no—
1172C22×D4—611no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—611no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4—1224no—
1191C22×D4—1224no—
1192C22×D4—1224no—
1193C22×D4—2442no—
1194C22×D4—2442no—
1195C22×D4—2442no—
1196C22×D4—2442no—
1197C22×D4—2442no—
1198C22×D4—2442no—
1199C22×D4C22×D6111yescharacteristic
1200C22×D4C22×D6111yescharacteristic
1201C22×D4C22×D6111yescharacteristic
1202C22×D4C22×D6111yescharacteristic
1203C22×D4C22×D6111yescharacteristic
1204C22×D4C22×D6111yescharacteristic
1205C23×C4—611no—
1206C23×C4—611no—
1207C23×C4—611no—
1208C23×C4—611no—
1209C23×C4—611no—
1210C23×C4—611no—
1211C23×C4—611no—
1212C23×C4—611no—
1213C23×C4—611no—
1214C23×C4—611no—
1215C23×C4—611no—
1216C23×C4—1224no—
1217C23×C4—2442no—
1218C23×C4—2442no—
1219C23×C4C22×D6111yescharacteristic
1220C23×C4C22×D6111yescharacteristic
1221C23×C4C22×D6111yescharacteristic
1222#126—1224no—
1223#126—1224no—
1224#124—1224no—
1225#124—1224no—
1226#123—24no—
1227#123—1224no—
1228C22⋊Q8—1224no—
1229C22⋊Q8—2442no—
1230C22⋊Q8—2442no—
1231#121—24no—
1232#121—42no—
1233#121—42no—
1234#121—1224no—
1235#121—1224no—
1236#121—1224no—
1237#121—1224no—
1238#121—1224no—
1239#121—1224no—
1240#121—1224no—
1241#121—1224no—
1242#121—1224no—
1243#121—1224no—
1244#121—2442no—
1245#121—2442no—
1246#121—2442no—
1247#121—2442no—
1248#121—2442no—
1249#121—2442no—
1250#121—2442no—
1251#121—2442no—
1252#121—2442no—
1253#121—2442no—
1254#121—2442no—
1255#121—2442no—
1256#120—1224no—
1257#120—1224no—
1258#120—2442no—
1259#120—2442no—
1260#120—2442no—
1261#120—2442no—
1262C4×D4—1224no—
1263C4×D4—1224no—
1264C2×C4⋊C4—611no—
1265C2×C4⋊C4—611no—
1266C2×C4⋊C4—611no—
1267C2×C4⋊C4—611no—
1268C2×C4⋊C4—611no—
1269C2×C4⋊C4—611no—
1270C2×C4⋊C4—611no—
1271C2×C4⋊C4—611no—
1272C2×C4⋊C4—611no—
1273C2×C4⋊C4—611no—
1274C2×C4⋊C4—611no—
1275C2×C4⋊C4—611no—
1276C2×C4⋊C4—611no—
1277C2×C4⋊C4—611no—
1278C2×C4⋊C4—611no—
1279C2×C4⋊C4—611no—
1280C2×C4⋊C4—611no—
1281C2×C4⋊C4—611no—
1282C2×C4⋊C4—611no—
1283C2×C4⋊C4—1224no—
1284C2×C4⋊C4C22×D6111yescharacteristic
1285C2×C4⋊C4C22×D6111yescharacteristic
1286C2×C4⋊C4C22×D6111yescharacteristic
1287C2×C4⋊C4C22×D6111yescharacteristic
1288C2×C4⋊C4C22×D6111yescharacteristic
1289C2×C4⋊C4C22×D6111yescharacteristic
1290C2×C4⋊C4C22×D6111yescharacteristic
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—618no—
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—611no—
1303C2×C22⋊C4—611no—
1304C2×C22⋊C4—611no—
1305C2×C22⋊C4—611no—
1306C2×C22⋊C4—611no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—611no—
1309C2×C22⋊C4—611no—
1310C2×C22⋊C4—611no—
1311C2×C22⋊C4—611no—
1312C2×C22⋊C4—611no—
1313C2×C22⋊C4—611no—
1314C2×C22⋊C4—611no—
1315C2×C22⋊C4—611no—
1316C2×C22⋊C4—611no—
1317C2×C22⋊C4—611no—
1318C2×C22⋊C4—611no—
1319C2×C22⋊C4—611no—
1320C2×C22⋊C4—611no—
1321C2×C22⋊C4—611no—
1322C2×C22⋊C4—611no—
1323C2×C22⋊C4—611no—
1324C2×C22⋊C4—611no—
1325C2×C22⋊C4—611no—
1326C2×C22⋊C4—611no—
1327C2×C22⋊C4—611no—
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—611no—
1331C2×C22⋊C4—611no—
1332C2×C22⋊C4—611no—
1333C2×C22⋊C4—611no—
1334C2×C22⋊C4—611no—
1335C2×C22⋊C4—611no—
1336C2×C22⋊C4—611no—
1337C2×C22⋊C4—1224no—
1338C2×C22⋊C4—2442no—
1339C2×C22⋊C4—2442no—
1340C2×C22⋊C4C22×D6111yescharacteristic
1341C2×C22⋊C4C22×D6111yescharacteristic
1342C2×C22⋊C4C22×D6111yescharacteristic
1343C2×C22⋊C4C22×D6111yescharacteristic
1344C2×C22⋊C4C22×D6111yescharacteristic
1345C2×C22⋊C4C22×D6111yescharacteristic
1346C2×C22⋊C4C22×D6111yescharacteristic
1347C2×C22⋊C4C22×D6111yescharacteristic
1348C2×C22⋊C4C22×D6111yescharacteristic
1349C2×C22⋊C4C22×D6111yescharacteristic
1350C2×C22⋊C4C22×D6111yescharacteristic
1351C2×C22⋊C4C22×D6111yescharacteristic
1352C2×C22⋊C4C22×D6111yescharacteristic
1353C2×C42—611no—
1354C2×C42—611no—
1355#95—611no—
1356#95—611no—
1357#95—611no—
1358#95—611no—
1359#95—611no—
1360#95—611no—
1361#95—611no—
1362#95—611no—
1363#95—611no—
1364#95—611no—
1365#95—611no—
1366#95—611no—
1367#95—611no—
1368#95—611no—
1369#95—611no—
1370#95—611no—
1371#95—611no—
1372#95—611no—
1373#95C22×D6111yescharacteristic
1374#95C22×D6111yescharacteristic
1375#95C22×D6111yescharacteristic
1376#95C22×D6111yescharacteristic
1377#95C22×D6111yescharacteristic
1378#95C22×D6111yescharacteristic
1379C24—611no—
1380C24—611no—
1381C24—611no—
1382C24—614no—
1383C24—611no—
1384C24—611no—
1385C24—1222no—
1386C24—1222no—
1387C24—1222no—
1388C24—1222no—
1389C24—1222no—
1390C24—1222no—
1391C24—1222no—
1392C24—1222no—
1393C24—1222no—
1394C24—1222no—
1395C24—2441no—
1396C24—2441no—
1397C24—2441no—
1398C24—2441no—
1399C24—2441no—
1400C24—2441no—
1401C24—2441no—
1402C24—2441no—
1403C24—2441no—
1404C24—2441no—
1405C24C23×D6111yescharacteristic
1406C24C23×D6111yescharacteristic
1407C24C23×D6111yescharacteristic
1408C24C23×D6111yescharacteristic
1409C2×Q8—1222no—
1410C2×Q8—2441no—
1411C2×Q8—2441no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—1222no—
1431C2×D4—1222no—
1432C2×D4—1222no—
1433C2×D4—1222no—
1434C2×D4—1222no—
1435C2×D4—1222no—
1436C2×D4—1222no—
1437C2×D4—1222no—
1438C2×D4—1222no—
1439C2×D4—1222no—
1440C2×D4—1222no—
1441C2×D4—1222no—
1442C2×D4—1222no—
1443C2×D4—1222no—
1444C2×D4—1222no—
1445C2×D4—1222no—
1446C2×D4—1222no—
1447C2×D4—1222no—
1448C2×D4—1222no—
1449C2×D4—1222no—
1450C2×D4—1222no—
1451C2×D4—1222no—
1452C2×D4—1222no—
1453C2×D4—1222no—
1454C2×D4—1222no—
1455C2×D4—1222no—
1456C2×D4—1222no—
1457C2×D4—1222no—
1458C2×D4—1222no—
1459C2×D4—1222no—
1460C2×D4—1222no—
1461C2×D4—2441no—
1462C2×D4—2441no—
1463C2×D4—2441no—
1464C2×D4—2441no—
1465C2×D4—2441no—
1466C2×D4—2441no—
1467C2×D4—2441no—
1468C2×D4—2441no—
1469C2×D4—2441no—
1470C2×D4—2441no—
1471C2×D4—24416no—
1472C2×D4—2441no—
1473C2×D4—2441no—
1474C2×D4—2441no—
1475C2×D4—2441no—
1476C2×D4—2441no—
1477C2×D4—2441no—
1478C2×D4—2441no—
1479C2×D4—2441no—
1480C2×D4—2441no—
1481C2×D4—2441no—
1482C2×D4—2441no—
1483C2×D4—2441no—
1484C2×D4—2441no—
1485C2×D4—2441no—
1486C2×D4—2441no—
1487C2×D4—2441no—
1488C2×D4—2441no—
1489C2×D4—2441no—
1490C2×D4—2441no—
1491C2×D4—2441no—
1492C2×D4—2441no—
1493C2×D4—2441no—
1494C2×D4—24416no—
1495C2×D4—24416no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—611no—
1508C22×C4—614no—
1509C22×C4—614no—
1510C22×C4—611no—
1511C22×C4—611no—
1512C22×C4—611no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—611no—
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—1222no—
1519C22×C4—1222no—
1520C22×C4—1222no—
1521C22×C4—1222no—
1522C22×C4—1222no—
1523C22×C4—1222no—
1524C22×C4—1222no—
1525C22×C4—1222no—
1526C22×C4—1222no—
1527C22×C4—1222no—
1528C22×C4—1222no—
1529C22×C4—2441no—
1530C22×C4—2441no—
1531C22×C4—2441no—
1532C22×C4—2441no—
1533C22×C4—2441no—
1534C22×C4—2441no—
1535C22×C4—2441no—
1536C22×C4—2441no—
1537C22×C4—2441no—
1538C22×C4—2441no—
1539C22×C4—2441no—
1540C22×C4—2441no—
1541C22×C4—2441no—
1542C22×C4—2441no—
1543C22×C4—2441no—
1544C22×C4—2441no—
1545C22×C4—24416no—
1546C22×C4—2441no—
1547C22×C4—2441no—
1548C22×C4—2441no—
1549C22×C4—2441no—
1550C22×C4C23×D6111yescharacteristic
1551C22×C4C23×D6111yescharacteristic
1552C22×C4C23×D6111yescharacteristic
1553C22×C4C23×D6111yescharacteristic
1554C22×C4C23×D6111yescharacteristic
1555C22×C4C23×D6111yescharacteristic
1556C22×C4C23×D6111yescharacteristic
1557C22×C4C23×D6111yescharacteristic
1558C22×C4C23×D6111yescharacteristic
1559C22×C4C23×D6111yescharacteristic
1560C22×C4C23×D6111yescharacteristic
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—41no—
1565C4⋊C4—41no—
1566C4⋊C4—41no—
1567C4⋊C4—41no—
1568C4⋊C4—1222no—
1569C4⋊C4—1222no—
1570C4⋊C4—1222no—
1571C4⋊C4—1222no—
1572C4⋊C4—1222no—
1573C4⋊C4—1222no—
1574C4⋊C4—1222no—
1575C4⋊C4—1222no—
1576C4⋊C4—1222no—
1577C4⋊C4—1222no—
1578C4⋊C4—1222no—
1579C4⋊C4—2441no—
1580C4⋊C4—2441no—
1581C4⋊C4—2441no—
1582C4⋊C4—2441no—
1583C4⋊C4—2441no—
1584C4⋊C4—2441no—
1585C4⋊C4—2441no—
1586C4⋊C4—2441no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—614no—
1600C22⋊C4—614no—
1601C22⋊C4—614no—
1602C22⋊C4—1222no—
1603C22⋊C4—1222no—
1604C22⋊C4—1222no—
1605C22⋊C4—1222no—
1606C22⋊C4—1222no—
1607C22⋊C4—1222no—
1608C22⋊C4—1222no—
1609C22⋊C4—1222no—
1610C22⋊C4—1222no—
1611C22⋊C4—1222no—
1612C22⋊C4—1222no—
1613C22⋊C4—1222no—
1614C22⋊C4—1222no—
1615C22⋊C4—1222no—
1616C22⋊C4—1222no—
1617C22⋊C4—1222no—
1618C22⋊C4—1222no—
1619C22⋊C4—1222no—
1620C22⋊C4—1222no—
1621C22⋊C4—1222no—
1622C22⋊C4—2441no—
1623C22⋊C4—2441no—
1624C22⋊C4—2441no—
1625C22⋊C4—2441no—
1626C22⋊C4—2441no—
1627C22⋊C4—2441no—
1628C22⋊C4—2441no—
1629C22⋊C4—2441no—
1630C22⋊C4—2441no—
1631C22⋊C4—2441no—
1632C22⋊C4—2441no—
1633C22⋊C4—2441no—
1634C22⋊C4—2441no—
1635C22⋊C4—2441no—
1636C22⋊C4—2441no—
1637C22⋊C4—2441no—
1638C22⋊C4—2441no—
1639C22⋊C4—2441no—
1640C22⋊C4—2441no—
1641C22⋊C4—2441no—
1642C22⋊C4—2441no—
1643C22⋊C4—2441no—
1644C22⋊C4D4×D6114yes—
1645C42—1222no—
1646C42—1222no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—612no—
1674C23—612no—
1675C23—612no—
1676C23—612no—
1677C23—612no—
1678C23—1228no—
1679C23—1228no—
1680C23—1221no—
1681C23—1221no—
1682C23—1221no—
1683C23—1221no—
1684C23—1221no—
1685C23—1221no—
1686C23—1221no—
1687C23—1221no—
1688C23—1221no—
1689C23—1221no—
1690C23—1221no—
1691C23—1221no—
1692C23—1221no—
1693C23—1221no—
1694C23—1221no—
1695C23—1221no—
1696C23—1221no—
1697C23—1221no—
1698C23—1221no—
1699C23—1221no—
1700C23—1221no—
1701C23—1221no—
1702C23—1221no—
1703C23—1221no—
1704C23—1221no—
1705C23—1221no—
1706C23—1221no—
1707C23—1221no—
1708C23—1221no—
1709C23—1221no—
1710C23—4882no—
1711C23—4882no—
1712C23—4882no—
1713C23—4882no—
1714C23—4882no—
1715C23—4882no—
1716C23—4882no—
1717C23—4882no—
1718C23—2444no—
1719C23—2444no—
1720C23—2444no—
1721C23—2444no—
1722C23—2444no—
1723C23—2444no—
1724C23—2444no—
1725C23—2444no—
1726C23—2444no—
1727C23—2444no—
1728C23—2444no—
1729C23C2×D4×D6112yes—
1730C23#1451982212yes—
1731C23C24×D6111yescharacteristic
1732Q8—4882no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—82no—
1737D4—82no—
1738D4—82no—
1739D4—4882no—
1740D4—4882no—
1741D4—4882no—
1742D4—4882no—
1743D4—4882no—
1744D4—4882no—
1745D4—4882no—
1746D4—4882no—
1747D4—4882no—
1748D4—4882no—
1749D4—2444no—
1750D4—2444no—
1751D4—2444no—
1752D4—2444no—
1753D4—2444no—
1754D4—2444no—
1755D4—2444no—
1756D4—2444no—
1757D4—2444no—
1758D4—2444no—
1759D4—2444no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—44no—
1791C2×C4—82no—
1792C2×C4—82no—
1793C2×C4—612no—
1794C2×C4—612no—
1795C2×C4—612no—
1796C2×C4—1228no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—1221no—
1801C2×C4—1221no—
1802C2×C4—1221no—
1803C2×C4—1221no—
1804C2×C4—1221no—
1805C2×C4—1221no—
1806C2×C4—1221no—
1807C2×C4—1221no—
1808C2×C4—1221no—
1809C2×C4—1221no—
1810C2×C4—1221no—
1811C2×C4—1221no—
1812C2×C4—1221no—
1813C2×C4—1221no—
1814C2×C4—1221no—
1815C2×C4—1221no—
1816C2×C4—1221no—
1817C2×C4—1221no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—1221no—
1821C2×C4—1221no—
1822C2×C4—1221no—
1823C2×C4—1221no—
1824C2×C4—1221no—
1825C2×C4—1221no—
1826C2×C4—1221no—
1827C2×C4—4882no—
1828C2×C4—4882no—
1829C2×C4—4882no—
1830C2×C4—4882no—
1831C2×C4—2444no—
1832C2×C4—2444no—
1833C2×C4—2444no—
1834C2×C4—2444no—
1835C2×C4—2444no—
1836C2×C4—2444no—
1837C2×C4C2×D4×D6112yes—
1838C2×C4C2×D4×D6112yes—
1839C2×C4#1451982312yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—614no—
1869C22—1222no—
1870C22—1222no—
1871C22—1222no—
1872C22—1222no—
1873C22—1222no—
1874C22—1222no—
1875C22—1222no—
1876C22—1222no—
1877C22—1222no—
1878C22—1222no—
1879C22—1222no—
1880C22—1222no—
1881C22—4888no—
1882C22—4888no—
1883C22—24416no—
1884C22—2441no—
1885C22—2441no—
1886C22—2441no—
1887C22—2441no—
1888C22—2441no—
1889C22—2441no—
1890C22—2441no—
1891C22—2441no—
1892C22—2441no—
1893C22—2441no—
1894C22—2441no—
1895C22—2441no—
1896C22—2441no—
1897C22—2441no—
1898C22—2441no—
1899C22—2441no—
1900C22—2441no—
1901C22—2441no—
1902C22—2441no—
1903C22—2441no—
1904C22—2441no—
1905C22—2441no—
1906C22C22×D4×D6111yescharacteristic
1907C22H(5,𝔽2)×D6111yescharacteristic
1908C22H(5,𝔽2)×D6111yescharacteristic
1909C22H(5,𝔽2)×D6111yescharacteristic
1910C22C2×#1451982211yescharacteristic
1911C22C2×#1451982311yescharacteristic
1912C222−1+4×D6111yescharacteristic
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—1222no—
1925C4—1222no—
1926C4—1222no—
1927C4—2441no—
1928C4—2441no—
1929C4—2441no—
1930C4—2441no—
1931C4—2441no—
1932C4—2441no—
1933C4—2441no—
1934C4—2441no—
1935C2—42no—
1936C2—42no—
1937C2—81no—
1938C2—81no—
1939C2—1224no—
1940C2—4881no—
1941C2—4881no—
1942C2—2442no—
1943C2—2442no—
1944C2#537×D6111yescharacteristic
1945C2#2145944711yescharacteristic
1946C2#2145944911yescharacteristic
1947C2#2146003811yescharacteristic
1948C2#2146004211yescharacteristic
1949C2#2146005611yescharacteristic
1950C2#2146005711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2671C2
hypercenter#2671D61
hypocenterC61#36706
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. C2×#16840348C2semidirect
2. C2×#121×D61C2semidirect
3. #21454107C2semidirect
4. #21454100C2semidirect
5. #21452307C2semidirect
6. #21452305C2semidirect
7. #21452295C2semidirect
8. #21452293C2semidirect
9. #21452127C2semidirect
10. #21452124C2semidirect
11. #21452123C2semidirect
12. #21452120C2semidirect
13. #21452111C2semidirect
14. #21452110C2semidirect
15. #21452109C2semidirect
16. #21452109C2semidirect
17. #21452060C2semidirect
18. #21452055C2semidirect
19. #21452052C2semidirect
20. #21451625C2semidirect
21. #21451558C2semidirect
22. #21451167C2semidirect
23. #21451164C2semidirect
24. #21449192C2semidirect
25. #21449190C2semidirect
26. #21449188C2semidirect
27. #21449186C2semidirect
28. #21449171C2semidirect
29. #21449170C2semidirect
30. #21448430C2semidirect
31. C61×#2671C2semidirect
37. C2×#14519772C22semidirect
38. C2×#14519770C22semidirect
39. C2×#14519763C22semidirect
40. C2×#14519763C22semidirect
41. C2×#14519762C22semidirect
43. C2×#14519757C22semidirect
44. C2×#14519756C22semidirect
46. C2×#14519752C22semidirect
48. C2×#14519751C22semidirect
49. C2×#14519751C22semidirect
50. C2×#14519751C22semidirect
54. C2×#14519750C22semidirect
55. C2×#14519750C22semidirect
56. C2×#14519750C22semidirect
57. C2×#14519750C22semidirect
58. C2×#14519750C22semidirect
61. C2×#14519749C22semidirect
62. C2×#14519749C22semidirect
63. C2×#14519749C22semidirect
65. C2×#14519748C22semidirect
66. C2×#14519748C22semidirect
81. #16839697C22semidirect
82. #16839696C22semidirect
83. #16839695C22semidirect
84. #16839693C22semidirect
85. #16839691C22semidirect
86. #16839690C22semidirect
87. #16839685C22semidirect
88. #16839685C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839684C22semidirect
92. #16839684C22semidirect
93. #16839684C22semidirect
94. #16839684C22semidirect
95. #16839680C22semidirect
96. #16839679C22semidirect
97. #16839679C22semidirect
98. #16839679C22semidirect
99. #16839678C22semidirect
100. #16839678C22semidirect
101. #16839678C22semidirect
102. #16839678C22semidirect
103. #16839677C22semidirect
104. #16839677C22semidirect
105. #16839677C22semidirect
106. #16839677C22semidirect
107. #16839676C22semidirect
108. #16839675C22semidirect
109. #16839674C22semidirect
110. #16839672C22semidirect
111. #16839672C22semidirect
112. #16839671C22semidirect
113. #16839671C22semidirect
114. #16839671C22semidirect
115. #16839671C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839670C22semidirect
122. #16839670C22semidirect
123. #16839665C22semidirect
124. #16839663C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839649C22semidirect
128. #16839647C22semidirect
129. #16839645C22semidirect
130. #16839643C22semidirect
131. #16839642C22semidirect
132. #16839641C22semidirect
133. #16839641C22semidirect
136. #16839640C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839639C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839637C22semidirect
146. #16839637C22semidirect
147. #16839637C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
152. #16839636C22semidirect
153. #16839636C22semidirect
154. #16839636C22semidirect
155. #16839635C22semidirect
156. #16839635C22semidirect
157. #16839634C22semidirect
160. #16839633C22semidirect
161. #16839633C22semidirect
162. #16839633C22semidirect
165. #16839621C22semidirect
166. #16839620C22semidirect
169. #16839619C22semidirect
174. C2×#123×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×#121×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#398C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#394C22semidirect
183. C61×#392C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#385C22semidirect
187. C61×#385C22semidirect
188. C61×#380C22semidirect
343. C22⋊C4×D61D4semidirect
979. #2671D61semidirect
1017. C2×#123C2×D61semidirect
1045. C2×#121C2×D61semidirect
1046. C2×#121C2×D61semidirect
1061. #399C2×D61semidirect
1065. #398C2×D61semidirect
1089. #394C2×D61semidirect
1090. #394C2×D61semidirect
1091. #394C2×D61semidirect
1107. #392C2×D61semidirect
1130. #386C2×D61semidirect
1131. #386C2×D61semidirect
1150. #385C2×D61semidirect
1151. #385C2×D61semidirect
1159. #380C2×D61semidirect
1164. C61#36706semidirect

Maximal subgroups

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

subgroupindex
C2×#168403482
C2×#121×D612
#214541072
#214541002
#214523072
#214523052
#214522952
#214522932
#214521272
#214521242
#214521232
#214521202
#214521112
#214521102
#214521092
#214520602
#214520552
#214520522
#214516252
#214515582
#214511672
#214511642
#214491922
#214491902
#214491882
#214491862
#214491712
#214491702
#214484302
C61×#26712
#3670661