Finite Group Databasebeta

← C61×#36844 #29540277

Subgroups — C61×#36844 #29540277

Order 15616.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#2853C211yesmaximal, characteristic, complemented
2C61×#2850C211yesmaximal, characteristic, complemented
3C61×#2803C211yesmaximal, characteristic, complemented
4C61×#2781C211yesmaximal, characteristic, complemented
5C61×#2778C211yesmaximal, characteristic, complemented
6C61×#2767C211yesmaximal, characteristic, complemented
7C61×#2746C211yesmaximal, characteristic, complemented
8C61×#2743C211yesmaximal, characteristic, complemented
9C61×#2732C211yesmaximal, characteristic, complemented
10C61×#2710C211yesmaximal, characteristic, complemented
11C61×#2706C211yesmaximal, characteristic, complemented
12C61×#2699C211yesmaximal, characteristic, complemented
13C61×#2696C211yesmaximal, characteristic, complemented
14C61×#2693C211yesmaximal, characteristic, complemented
15C61×#2688C211yesmaximal, characteristic, complemented
16C61×#2676C211yesmaximal, characteristic, complemented
17C61×#2673C211yesmaximal, characteristic, complemented
18C61×#2673C211yesmaximal, characteristic, complemented
19C61×#2636C211yesmaximal, characteristic, complemented
20C61×#2635C211yesmaximal, characteristic, complemented
21C61×#2529C211yesmaximal, characteristic, complemented
22C61×#2527C211yesmaximal, characteristic, complemented
23C61×#2488C211yesmaximal, characteristic, complemented
24C61×#2468C211yesmaximal, characteristic, complemented
25C61×#2467C211yesmaximal, characteristic, complemented
26C61×#2464C211yesmaximal, characteristic, complemented
27C61×#2456C211yesmaximal, characteristic, complemented
28C61×#2444C211yesmaximal, characteristic, complemented
29C61×#2328C211yesmaximal, characteristic, complemented
30C61×#2325C211yesmaximal, characteristic, complemented
31C4×#121×C61C211yesmaximal, characteristic, complemented
32C2×#127×C61C2211yescharacteristic
33C2×#126×C61C2211yescharacteristic
34C2×#124×C61C2211yescharacteristic
35C2×#123×C61C2211yescharacteristic
36C2×#123×C61C2211yescharacteristic
37C2×#123×C61C2211yescharacteristic
38C2×#123×C61C2211yescharacteristic
39C2×C22⋊Q8×C61C2211yescharacteristic
40C2×C22⋊Q8×C61C2211yescharacteristic
41C2×#121×C61C2211yescharacteristic
42C2×#121×C61C2211yescharacteristic
43C2×#121×C61C2211yescharacteristic
44C2×#121×C61C2211yescharacteristic
45C2×#121×C61C2211yescharacteristic
46C2×#121×C61C2211yescharacteristic
47C2×C4×D4×C61C2211yescharacteristic
48C2×C4×D4×C61C2211yescharacteristic
49C2×C4×D4×C61C2211yescharacteristic
50C2×C4×D4×C61C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C22×C42×C61C2211yescharacteristic
53C61×#401C2211yescharacteristic
54C61×#400C2211yescharacteristic
55C61×#400C2211yescharacteristic
56C61×#400C2211yescharacteristic
57C61×#400C2211yescharacteristic
58C61×#400C2211yescharacteristic
59C61×#400C2211yescharacteristic
60C61×#400C2211yescharacteristic
61C61×#399C2211yescharacteristic
62C61×#399C2211yescharacteristic
63C61×#399C2211yescharacteristic
64C61×#398C2211yescharacteristic
65C61×#398C2211yescharacteristic
66C61×#398C2211yescharacteristic
67C61×#398C2211yescharacteristic
68C61×#397C2211yescharacteristic
69C61×#397C2211yescharacteristic
70C61×#397C2211yescharacteristic
71C61×#397C2211yescharacteristic
72C61×#397C2211yescharacteristic
73C61×#396C2211yescharacteristic
74C61×#396C2211yescharacteristic
75C61×#396C2211yescharacteristic
76C61×#396C2211yescharacteristic
77C61×#394C2211yescharacteristic
78C61×#394C2211yescharacteristic
79C61×#394C2211yescharacteristic
80C61×#394C2211yescharacteristic
81C61×#394C2211yescharacteristic
82C61×#394C2211yescharacteristic
83C61×#394C2211yescharacteristic
84C61×#394C2211yescharacteristic
85C61×#394C2211yescharacteristic
86C61×#394C2211yescharacteristic
87C61×#394C2211yescharacteristic
88C61×#394C2211yescharacteristic
89C61×#393C2211yescharacteristic
90C61×#393C2211yescharacteristic
91C61×#392C2211yescharacteristic
92C61×#392C2211yescharacteristic
93C61×#392C2211yescharacteristic
94C61×#392C2211yescharacteristic
95C61×#392C2211yescharacteristic
96C61×#392C2211yescharacteristic
97C61×#392C2211yescharacteristic
98C61×#392C2211yescharacteristic
99C61×#392C2211yescharacteristic
100C61×#392C2211yescharacteristic
101C61×#391C2211yescharacteristic
102C61×#391C2211yescharacteristic
103C61×#390C2211yescharacteristic
104C61×#390C2211yescharacteristic
105C61×#390C2211yescharacteristic
106C61×#390C2211yescharacteristic
107C61×#390C2211yescharacteristic
108C61×#389C2211yescharacteristic
109C61×#389C2211yescharacteristic
110C61×#388C2211yescharacteristic
111C61×#388C2211yescharacteristic
112C61×#388C2211yescharacteristic
113C61×#388C2211yescharacteristic
114C61×#388C2211yescharacteristic
115C61×#388C2211yescharacteristic
116C61×#388C2211yescharacteristic
117C61×#388C2211yescharacteristic
118C61×#388C2211yescharacteristic
119C61×#388C2211yescharacteristic
120C61×#388C2211yescharacteristic
121C61×#388C2211yescharacteristic
122C61×#388C2211yescharacteristic
123C61×#388C2211yescharacteristic
124C61×#388C2211yescharacteristic
125C61×#388C2211yescharacteristic
126C61×#388C2211yescharacteristic
127C61×#388C2211yescharacteristic
128C61×#388C2211yescharacteristic
129C61×#387C2211yescharacteristic
130C61×#387C2211yescharacteristic
131C61×#387C2211yescharacteristic
132C61×#387C2211yescharacteristic
133C61×#387C2211yescharacteristic
134C61×#387C2211yescharacteristic
135C61×#387C2211yescharacteristic
136C61×#387C2211yescharacteristic
137C61×#387C2211yescharacteristic
138C61×#387C2211yescharacteristic
139C61×#386C2211yescharacteristic
140C61×#386C2211yescharacteristic
141C61×#386C2211yescharacteristic
142C61×#386C2211yescharacteristic
143C61×#386C2211yescharacteristic
144C61×#386C2211yescharacteristic
145C61×#386C2211yescharacteristic
146C61×#386C2211yescharacteristic
147C61×#386C2211yescharacteristic
148C61×#386C2211yescharacteristic
149C61×#386C2211yescharacteristic
150C61×#386C2211yescharacteristic
151C61×#386C2211yescharacteristic
152C61×#386C2211yescharacteristic
153C61×#386C2211yescharacteristic
154C61×#386C2211yescharacteristic
155C61×#386C2211yescharacteristic
156C61×#386C2211yescharacteristic
157C61×#386C2211yescharacteristic
158C61×#386C2211yescharacteristic
159C61×#386C2211yescharacteristic
160C61×#386C2211yescharacteristic
161C61×#386C2211yescharacteristic
162C61×#386C2211yescharacteristic
163C61×#385C2211yescharacteristic
164C61×#385C2211yescharacteristic
165C61×#385C2211yescharacteristic
166C61×#385C2211yescharacteristic
167C61×#385C2211yescharacteristic
168C61×#385C2211yescharacteristic
169C61×#385C2211yescharacteristic
170C61×#385C2211yescharacteristic
171C61×#382C2211yescharacteristic
172C61×#382C2211yescharacteristic
173C61×#382C2211yescharacteristic
174C61×#381C2211yescharacteristic
175C61×#381C2211yescharacteristic
176C61×#381C2211yescharacteristic
177C61×#381C2211yescharacteristic
178C61×#380C2211yescharacteristic
179C61×#380C2211yescharacteristic
180C61×#380C2211yescharacteristic
181C61×#380C2211yescharacteristic
182C4×C4⋊C4×C61C2211yescharacteristic
183C4×C22⋊C4×C61C2211yescharacteristic
184C4×C22⋊C4×C61C2211yescharacteristic
185C61×#376C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C22×Q8×C61C2311yescharacteristic
188C22×D4×C61C2311yescharacteristic
189C22×D4×C61C2311yescharacteristic
190C22×D4×C61C2311yescharacteristic
191C22×D4×C61C2311yescharacteristic
192C22×D4×C61C2311yescharacteristic
193C22×D4×C61C2311yescharacteristic
194C22×D4×C61C2311yescharacteristic
195C22×D4×C61C2311yescharacteristic
196C22×D4×C61C2311yescharacteristic
197C22×D4×C61C2311yescharacteristic
198C22×D4×C61C2311yescharacteristic
199C22×D4×C61C2311yescharacteristic
200C22×D4×C61C2311yescharacteristic
201C22×D4×C61C2311yescharacteristic
202C22×D4×C61C2311yescharacteristic
203C23×C4×C61C2311yescharacteristic
204C23×C4×C61C2311yescharacteristic
205C23×C4×C61C2311yescharacteristic
206C23×C4×C61C2311yescharacteristic
207C23×C4×C61C2311yescharacteristic
208C23×C4×C61C2311yescharacteristic
209C23×C4×C61C2311yescharacteristic
210C23×C4×C61C2311yescharacteristic
211C23×C4×C61C2311yescharacteristic
212C23×C4×C61C2311yescharacteristic
213#127×C61—24no—
214#126×C61—42no—
215#124×C61—42no—
216#123×C61—42no—
217#123×C61—42no—
218#123×C61—42no—
219#123×C61—42no—
220C22⋊Q8×C61—42no—
221C22⋊Q8×C61—42no—
222#121×C61—24no—
223#121×C61—24no—
224#121×C61—42no—
225#121×C61—42no—
226#121×C61—42no—
227#121×C61—42no—
228C4×D4×C61—42no—
229C4×D4×C61—42no—
230C4×D4×C61—42no—
231C4×D4×C61—42no—
232C4×D4×C61—42no—
233C2×C4⋊C4×C61C2311yescharacteristic
234C2×C4⋊C4×C61C2311yescharacteristic
235C2×C4⋊C4×C61C2311yescharacteristic
236C2×C4⋊C4×C61C2311yescharacteristic
237C2×C4⋊C4×C61C2311yescharacteristic
238C2×C4⋊C4×C61C2311yescharacteristic
239C2×C4⋊C4×C61C2311yescharacteristic
240C2×C4⋊C4×C61C2311yescharacteristic
241C2×C4⋊C4×C61C2311yescharacteristic
242C2×C4⋊C4×C61C2311yescharacteristic
243C2×C4⋊C4×C61C2311yescharacteristic
244C2×C4⋊C4×C61C2311yescharacteristic
245C2×C4⋊C4×C61C2311yescharacteristic
246C2×C4⋊C4×C61C2311yescharacteristic
247C2×C4⋊C4×C61C2311yescharacteristic
248C2×C4⋊C4×C61C2311yescharacteristic
249C2×C4⋊C4×C61C2311yescharacteristic
250C2×C4⋊C4×C61C2311yescharacteristic
251C2×C4⋊C4×C61C2311yescharacteristic
252C2×C4⋊C4×C61C2311yescharacteristic
253C2×C4⋊C4×C61C2311yescharacteristic
254C2×C4⋊C4×C61C2311yescharacteristic
255C2×C4⋊C4×C61C2311yescharacteristic
256C2×C4⋊C4×C61C2311yescharacteristic
257C2×C4⋊C4×C61C2311yescharacteristic
258C2×C4⋊C4×C61C2311yescharacteristic
259C2×C22⋊C4×C61C2311yescharacteristic
260C2×C22⋊C4×C61C2311yescharacteristic
261C2×C22⋊C4×C61C2311yescharacteristic
262C2×C22⋊C4×C61C2311yescharacteristic
263C2×C22⋊C4×C61C2311yescharacteristic
264C2×C22⋊C4×C61C2311yescharacteristic
265C2×C22⋊C4×C61C2311yescharacteristic
266C2×C22⋊C4×C61C2311yescharacteristic
267C2×C22⋊C4×C61C2311yescharacteristic
268C2×C22⋊C4×C61C2311yescharacteristic
269C2×C22⋊C4×C61C2311yescharacteristic
270C2×C22⋊C4×C61C2311yescharacteristic
271C2×C22⋊C4×C61C2311yescharacteristic
272C2×C22⋊C4×C61C2311yescharacteristic
273C2×C22⋊C4×C61C2311yescharacteristic
274C2×C22⋊C4×C61C2311yescharacteristic
275C2×C22⋊C4×C61C2311yescharacteristic
276C2×C22⋊C4×C61C2311yescharacteristic
277C2×C22⋊C4×C61C2311yescharacteristic
278C2×C22⋊C4×C61C2311yescharacteristic
279C2×C22⋊C4×C61C2311yescharacteristic
280C2×C22⋊C4×C61C2311yescharacteristic
281C2×C22⋊C4×C61C2311yescharacteristic
282C2×C22⋊C4×C61C2311yescharacteristic
283C2×C22⋊C4×C61C2311yescharacteristic
284C2×C22⋊C4×C61C2311yescharacteristic
285C2×C22⋊C4×C61C2311yescharacteristic
286C2×C22⋊C4×C61C2311yescharacteristic
287C2×C22⋊C4×C61C2311yescharacteristic
288C2×C22⋊C4×C61C2311yescharacteristic
289C2×C22⋊C4×C61C2311yescharacteristic
290C2×C22⋊C4×C61C2311yescharacteristic
291C2×C22⋊C4×C61C2311yescharacteristic
292C2×C22⋊C4×C61C2311yescharacteristic
293C2×C22⋊C4×C61C2311yescharacteristic
294C2×C22⋊C4×C61C2311yescharacteristic
295C2×C22⋊C4×C61C2311yescharacteristic
296C2×C22⋊C4×C61C2311yescharacteristic
297C2×C22⋊C4×C61C2311yescharacteristic
298C2×C22⋊C4×C61C2311yescharacteristic
299C2×C22⋊C4×C61C2311yescharacteristic
300C2×C22⋊C4×C61C2311yescharacteristic
301C2×C22⋊C4×C61C2311yescharacteristic
302C2×C22⋊C4×C61C2311yescharacteristic
303C2×C22⋊C4×C61C2311yescharacteristic
304C2×C22⋊C4×C61C2311yescharacteristic
305C2×C22⋊C4×C61C2311yescharacteristic
306C2×C22⋊C4×C61C2311yescharacteristic
307C2×C22⋊C4×C61C2311yescharacteristic
308C2×C22⋊C4×C61C2311yescharacteristic
309C2×C42×C61—42no—
310C2×C42×C61C2311yescharacteristic
311C2×C42×C61C2311yescharacteristic
312C2×C42×C61C2311yescharacteristic
313C2×C42×C61C2311yescharacteristic
314C2×C42×C61C2311yescharacteristic
315C2×C42×C61C2311yescharacteristic
316C2×C42×C61C2311yescharacteristic
317C2×C42×C61C2311yescharacteristic
318C2×C42×C61C2311yescharacteristic
319#95×C61C2311yescharacteristic
320#95×C61C2311yescharacteristic
321#95×C61C2311yescharacteristic
322#95×C61C2311yescharacteristic
323#95×C61C2311yescharacteristic
324#95×C61C2311yescharacteristic
325#95×C61C2311yescharacteristic
326#95×C61C2311yescharacteristic
327#95×C61C2311yescharacteristic
328#95×C61C2311yescharacteristic
329#95×C61C2311yescharacteristic
330#95×C61C2311yescharacteristic
331#95×C61C2311yescharacteristic
332#95×C61C2311yescharacteristic
333#95×C61C2311yescharacteristic
334#95×C61C2311yescharacteristic
335#95×C61C2311yescharacteristic
336#95×C61C2311yescharacteristic
337#95×C61C2311yescharacteristic
338#95×C61C2311yescharacteristic
339#95×C61C2311yescharacteristic
340#95×C61C2311yescharacteristic
341#95×C61C2311yescharacteristic
342#95×C61C2311yescharacteristic
343#95×C61C2311yescharacteristic
344#95×C61C2311yescharacteristic
345#95×C61C2311yescharacteristic
346#95×C61C2311yescharacteristic
347#95×C61C2311yescharacteristic
348#95×C61C2311yescharacteristic
349#95×C61C2311yescharacteristic
350#95×C61C2311yescharacteristic
351#95×C61C2311yescharacteristic
352#95×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363C24×C61C2411yescharacteristic
364C24×C61C2411yescharacteristic
365C24×C61C2411yescharacteristic
366C24×C61C2411yescharacteristic
367C24×C61C2411yescharacteristic
368C24×C61C2411yescharacteristic
369C2×Q8×C61—22no—
370C2×Q8×C61—41no—
371C2×Q8×C61—41no—
372C2×D4×C61—22no—
373C2×D4×C61—22no—
374C2×D4×C61—22no—
375C2×D4×C61—22no—
376C2×D4×C61—22no—
377C2×D4×C61—22no—
378C2×D4×C61—22no—
379C2×D4×C61—22no—
380C2×D4×C61—22no—
381C2×D4×C61—22no—
382C2×D4×C61—22no—
383C2×D4×C61—41no—
384C2×D4×C61—41no—
385C2×D4×C61—41no—
386C2×D4×C61—41no—
387C2×D4×C61—41no—
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61—41no—
391C2×D4×C61—41no—
392C2×D4×C61—41no—
393C2×D4×C61—41no—
394C2×D4×C61—41no—
395C2×D4×C61—41no—
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C2×D4×C61—41no—
399C2×D4×C61—41no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61—41no—
403C2×D4×C61—41no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C2×D4×C61—41no—
407C2×D4×C61—41no—
408C2×D4×C61—41no—
409C2×D4×C61—41no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61#4114yes—
417C22×C4×C61—22no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—22no—
421C22×C4×C61—22no—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61—41no—
431C22×C4×C61—41no—
432C22×C4×C61—41no—
433C22×C4×C61—41no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61—41no—
442C22×C4×C61—41no—
443C22×C4×C61—41no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61—41no—
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
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
471C22×C4×C61C2411yescharacteristic
472C4⋊C4×C61—22no—
473C4⋊C4×C61—22no—
474C4⋊C4×C61—22no—
475C4⋊C4×C61—22no—
476C4⋊C4×C61—22no—
477C4⋊C4×C61—22no—
478C4⋊C4×C61—22no—
479C4⋊C4×C61—22no—
480C4⋊C4×C61—41no—
481C4⋊C4×C61—41no—
482C4⋊C4×C61—41no—
483C4⋊C4×C61—41no—
484C4⋊C4×C61—41no—
485C4⋊C4×C61—41no—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C4⋊C4×C61—41no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C4⋊C4×C61—41no—
496C4⋊C4×C61—41no—
497C4⋊C4×C61—41no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—22no—
507C22⋊C4×C61—22no—
508C22⋊C4×C61—22no—
509C22⋊C4×C61—22no—
510C22⋊C4×C61—22no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C22⋊C4×C61—41no—
517C22⋊C4×C61—41no—
518C22⋊C4×C61—41no—
519C22⋊C4×C61—41no—
520C22⋊C4×C61—41no—
521C22⋊C4×C61—41no—
522C22⋊C4×C61—41no—
523C22⋊C4×C61—41no—
524C22⋊C4×C61—41no—
525C22⋊C4×C61—41no—
526C22⋊C4×C61—41no—
527C22⋊C4×C61—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61—41no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C42×C61—22no—
549C42×C61—22no—
550C42×C61—22no—
551C42×C61—22no—
552C42×C61—22no—
553C42×C61—41no—
554C42×C61—41no—
555C42×C61—41no—
556C42×C61—41no—
557C23×C61—21no—
558C23×C61—21no—
559C23×C61—21no—
560C23×C61—21no—
561C23×C61—21no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61C2×#4112yes—
598C23×C61C2×#4112yes—
599C23×C61C2511yescharacteristic
600Q8×C61—82no—
601D4×C61—44no—
602D4×C61—44no—
603D4×C61—44no—
604D4×C61—44no—
605D4×C61—44no—
606D4×C61—82no—
607D4×C61—82no—
608D4×C61—82no—
609D4×C61—82no—
610D4×C61—82no—
611D4×C61—82no—
612D4×C61—82no—
613D4×C61—82no—
614D4×C61—82no—
615D4×C61—82no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—44no—
688C2×C4×C61—44no—
689C2×C4×C61—44no—
690C2×C4×C61—82no—
691C2×C4×C61—82no—
692C2×C4×C61—82no—
693C2×C4×C61—82no—
694C2×C4×C61—82no—
695C2×C4×C61—82no—
696C2×C4×C61—82no—
697C2×C4×C61C2×#4112yes—
698C2×C4×C61H(5,𝔽2)12yes—
699C2×C4×C61H(5,𝔽2)12yes—
700C2×C4×C61H(5,𝔽2)12yes—
701#36844C6111yesmaximal, characteristic, direct product factor, Sylow
702C22×C61—22no—
703C22×C61—22no—
704C22×C61—22no—
705C22×C61—22no—
706C22×C61—22no—
707C22×C61—22no—
708C22×C61—41no—
709C22×C61—41no—
710C22×C61—41no—
711C22×C61—41no—
712C22×C61—41no—
713C22×C61—41no—
714C22×C61—41no—
715C22×C61—41no—
716C22×C61—41no—
717C22×C61—41no—
718C22×C61—41no—
719C22×C61—41no—
720C22×C61—41no—
721C22×C61—41no—
722C22×C61—41no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61—41no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61C22×#4111yescharacteristic
745C22×C61C2×H(5,𝔽2)11yescharacteristic
746C22×C61C2×H(5,𝔽2)11yescharacteristic
747C22×C61C2×H(5,𝔽2)11yescharacteristic
748C22×C61#58511yescharacteristic
749C22×C61#58511yescharacteristic
750C22×C61#58511yescharacteristic
751C4×C61—22no—
752C4×C61—22no—
753C4×C61—22no—
754C4×C61—22no—
755C4×C61—41no—
756C4×C61—41no—
757C4×C61—41no—
758C4×C61—41no—
759C4×C61—41no—
760C4×C61—41no—
761C4×C61—41no—
762C4×C61—41no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776#2853C2×C6111yescharacteristic, complemented
777#2850C2×C6111yescharacteristic, complemented
778#2803C2×C6111yescharacteristic, complemented
779#2781C2×C6111yescharacteristic, complemented
780#2778C2×C6111yescharacteristic, complemented
781#2767C2×C6111yescharacteristic, complemented
782#2746C2×C6111yescharacteristic, complemented
783#2743C2×C6111yescharacteristic, complemented
784#2732C2×C6111yescharacteristic, complemented
785#2710C2×C6111yescharacteristic, complemented
786#2706C2×C6111yescharacteristic, complemented
787#2699C2×C6111yescharacteristic, complemented
788#2696C2×C6111yescharacteristic, complemented
789#2693C2×C6111yescharacteristic, complemented
790#2688C2×C6111yescharacteristic, complemented
791#2676C2×C6111yescharacteristic, complemented
792#2673C2×C6111yescharacteristic, complemented
793#2673C2×C6111yescharacteristic, complemented
794#2636C2×C6111yescharacteristic, complemented
795#2635C2×C6111yescharacteristic, complemented
796#2529C2×C6111yescharacteristic, complemented
797#2527C2×C6111yescharacteristic, complemented
798#2488C2×C6111yescharacteristic, complemented
799#2468C2×C6111yescharacteristic, complemented
800#2467C2×C6111yescharacteristic, complemented
801#2464C2×C6111yescharacteristic, complemented
802#2456C2×C6111yescharacteristic, complemented
803#2444C2×C6111yescharacteristic, complemented
804#2328C2×C6111yescharacteristic, complemented
805#2325C2×C6111yescharacteristic, complemented
806C4×#121C2×C6111yescharacteristic, complemented
807C2×C61—42no—
808C2×C61—42no—
809C2×C61—81no—
810C2×C61—81no—
811C2×C61—81no—
812C2×C61—81no—
813C2×C61#345911yescharacteristic
814C2×C61#351311yescharacteristic
815C2×C61#351411yescharacteristic
816C2×C61#354211yescharacteristic
817C2×C61#354211yescharacteristic
818C2×C61#354611yescharacteristic
819C2×C61#356711yescharacteristic
820C2×#127C22×C6111yescharacteristic
821C2×#126C22×C6111yescharacteristic
822C2×#124C22×C6111yescharacteristic
823C2×#123C22×C6111yescharacteristic
824C2×#123C22×C6111yescharacteristic
825C2×#123C22×C6111yescharacteristic
826C2×#123C22×C6111yescharacteristic
827C2×C22⋊Q8C22×C6111yescharacteristic
828C2×C22⋊Q8C22×C6111yescharacteristic
829C2×#121C22×C6111yescharacteristic
830C2×#121C22×C6111yescharacteristic
831C2×#121C22×C6111yescharacteristic
832C2×#121C22×C6111yescharacteristic
833C2×#121C22×C6111yescharacteristic
834C2×#121C22×C6111yescharacteristic
835C2×C4×D4C22×C6111yescharacteristic
836C2×C4×D4C22×C6111yescharacteristic
837C2×C4×D4C22×C6111yescharacteristic
838C2×C4×D4C22×C6111yescharacteristic
839C2×C4×D4C22×C6111yescharacteristic
840C22×C42C22×C6111yescharacteristic
841#401C22×C6111yescharacteristic
842#400C22×C6111yescharacteristic
843#400C22×C6111yescharacteristic
844#400C22×C6111yescharacteristic
845#400C22×C6111yescharacteristic
846#400C22×C6111yescharacteristic
847#400C22×C6111yescharacteristic
848#400C22×C6111yescharacteristic
849#399C22×C6111yescharacteristic
850#399C22×C6111yescharacteristic
851#399C22×C6111yescharacteristic
852#398C22×C6111yescharacteristic
853#398C22×C6111yescharacteristic
854#398C22×C6111yescharacteristic
855#398C22×C6111yescharacteristic
856#397C22×C6111yescharacteristic
857#397C22×C6111yescharacteristic
858#397C22×C6111yescharacteristic
859#397C22×C6111yescharacteristic
860#397C22×C6111yescharacteristic
861#396C22×C6111yescharacteristic
862#396C22×C6111yescharacteristic
863#396C22×C6111yescharacteristic
864#396C22×C6111yescharacteristic
865#394C22×C6111yescharacteristic
866#394C22×C6111yescharacteristic
867#394C22×C6111yescharacteristic
868#394C22×C6111yescharacteristic
869#394C22×C6111yescharacteristic
870#394C22×C6111yescharacteristic
871#394C22×C6111yescharacteristic
872#394C22×C6111yescharacteristic
873#394C22×C6111yescharacteristic
874#394C22×C6111yescharacteristic
875#394C22×C6111yescharacteristic
876#394C22×C6111yescharacteristic
877#393C22×C6111yescharacteristic
878#393C22×C6111yescharacteristic
879#392C22×C6111yescharacteristic
880#392C22×C6111yescharacteristic
881#392C22×C6111yescharacteristic
882#392C22×C6111yescharacteristic
883#392C22×C6111yescharacteristic
884#392C22×C6111yescharacteristic
885#392C22×C6111yescharacteristic
886#392C22×C6111yescharacteristic
887#392C22×C6111yescharacteristic
888#392C22×C6111yescharacteristic
889#391C22×C6111yescharacteristic
890#391C22×C6111yescharacteristic
891#390C22×C6111yescharacteristic
892#390C22×C6111yescharacteristic
893#390C22×C6111yescharacteristic
894#390C22×C6111yescharacteristic
895#390C22×C6111yescharacteristic
896#389C22×C6111yescharacteristic
897#389C22×C6111yescharacteristic
898#388C22×C6111yescharacteristic
899#388C22×C6111yescharacteristic
900#388C22×C6111yescharacteristic
901#388C22×C6111yescharacteristic
902#388C22×C6111yescharacteristic
903#388C22×C6111yescharacteristic
904#388C22×C6111yescharacteristic
905#388C22×C6111yescharacteristic
906#388C22×C6111yescharacteristic
907#388C22×C6111yescharacteristic
908#388C22×C6111yescharacteristic
909#388C22×C6111yescharacteristic
910#388C22×C6111yescharacteristic
911#388C22×C6111yescharacteristic
912#388C22×C6111yescharacteristic
913#388C22×C6111yescharacteristic
914#388C22×C6111yescharacteristic
915#388C22×C6111yescharacteristic
916#388C22×C6111yescharacteristic
917#387C22×C6111yescharacteristic
918#387C22×C6111yescharacteristic
919#387C22×C6111yescharacteristic
920#387C22×C6111yescharacteristic
921#387C22×C6111yescharacteristic
922#387C22×C6111yescharacteristic
923#387C22×C6111yescharacteristic
924#387C22×C6111yescharacteristic
925#387C22×C6111yescharacteristic
926#387C22×C6111yescharacteristic
927#386C22×C6111yescharacteristic
928#386C22×C6111yescharacteristic
929#386C22×C6111yescharacteristic
930#386C22×C6111yescharacteristic
931#386C22×C6111yescharacteristic
932#386C22×C6111yescharacteristic
933#386C22×C6111yescharacteristic
934#386C22×C6111yescharacteristic
935#386C22×C6111yescharacteristic
936#386C22×C6111yescharacteristic
937#386C22×C6111yescharacteristic
938#386C22×C6111yescharacteristic
939#386C22×C6111yescharacteristic
940#386C22×C6111yescharacteristic
941#386C22×C6111yescharacteristic
942#386C22×C6111yescharacteristic
943#386C22×C6111yescharacteristic
944#386C22×C6111yescharacteristic
945#386C22×C6111yescharacteristic
946#386C22×C6111yescharacteristic
947#386C22×C6111yescharacteristic
948#386C22×C6111yescharacteristic
949#386C22×C6111yescharacteristic
950#386C22×C6111yescharacteristic
951#385C22×C6111yescharacteristic
952#385C22×C6111yescharacteristic
953#385C22×C6111yescharacteristic
954#385C22×C6111yescharacteristic
955#385C22×C6111yescharacteristic
956#385C22×C6111yescharacteristic
957#385C22×C6111yescharacteristic
958#385C22×C6111yescharacteristic
959#382C22×C6111yescharacteristic
960#382C22×C6111yescharacteristic
961#382C22×C6111yescharacteristic
962#381C22×C6111yescharacteristic
963#381C22×C6111yescharacteristic
964#381C22×C6111yescharacteristic
965#381C22×C6111yescharacteristic
966#380C22×C6111yescharacteristic
967#380C22×C6111yescharacteristic
968#380C22×C6111yescharacteristic
969#380C22×C6111yescharacteristic
970C4×C4⋊C4C22×C6111yescharacteristic
971C4×C22⋊C4C22×C6111yescharacteristic
972C4×C22⋊C4C22×C6111yescharacteristic
973#376C22×C6111yescharacteristic
974C2×#95C22×C6111yescharacteristic
975C61#3684411yescharacteristic, direct product factor, Sylow
976C22×Q8C23×C6111yescharacteristic
977C22×D4C23×C6111yescharacteristic
978C22×D4C23×C6111yescharacteristic
979C22×D4C23×C6111yescharacteristic
980C22×D4C23×C6111yescharacteristic
981C22×D4C23×C6111yescharacteristic
982C22×D4C23×C6111yescharacteristic
983C22×D4C23×C6111yescharacteristic
984C22×D4C23×C6111yescharacteristic
985C22×D4C23×C6111yescharacteristic
986C22×D4C23×C6111yescharacteristic
987C22×D4C23×C6111yescharacteristic
988C22×D4C23×C6111yescharacteristic
989C22×D4C23×C6111yescharacteristic
990C22×D4C23×C6111yescharacteristic
991C22×D4C23×C6111yescharacteristic
992C23×C4C23×C6111yescharacteristic
993C23×C4C23×C6111yescharacteristic
994C23×C4C23×C6111yescharacteristic
995C23×C4C23×C6111yescharacteristic
996C23×C4C23×C6111yescharacteristic
997C23×C4C23×C6111yescharacteristic
998C23×C4C23×C6111yescharacteristic
999C23×C4C23×C6111yescharacteristic
1000C23×C4C23×C6111yescharacteristic
1001C23×C4C23×C6111yescharacteristic
1002#127—24no—
1003#126—42no—
1004#124—42no—
1005#123—42no—
1006#123—42no—
1007#123—42no—
1008#123—42no—
1009C22⋊Q8—42no—
1010C22⋊Q8—42no—
1011#121—24no—
1012#121—24no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4—42no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C2×C4⋊C4C23×C6111yescharacteristic
1023C2×C4⋊C4C23×C6111yescharacteristic
1024C2×C4⋊C4C23×C6111yescharacteristic
1025C2×C4⋊C4C23×C6111yescharacteristic
1026C2×C4⋊C4C23×C6111yescharacteristic
1027C2×C4⋊C4C23×C6111yescharacteristic
1028C2×C4⋊C4C23×C6111yescharacteristic
1029C2×C4⋊C4C23×C6111yescharacteristic
1030C2×C4⋊C4C23×C6111yescharacteristic
1031C2×C4⋊C4C23×C6111yescharacteristic
1032C2×C4⋊C4C23×C6111yescharacteristic
1033C2×C4⋊C4C23×C6111yescharacteristic
1034C2×C4⋊C4C23×C6111yescharacteristic
1035C2×C4⋊C4C23×C6111yescharacteristic
1036C2×C4⋊C4C23×C6111yescharacteristic
1037C2×C4⋊C4C23×C6111yescharacteristic
1038C2×C4⋊C4C23×C6111yescharacteristic
1039C2×C4⋊C4C23×C6111yescharacteristic
1040C2×C4⋊C4C23×C6111yescharacteristic
1041C2×C4⋊C4C23×C6111yescharacteristic
1042C2×C4⋊C4C23×C6111yescharacteristic
1043C2×C4⋊C4C23×C6111yescharacteristic
1044C2×C4⋊C4C23×C6111yescharacteristic
1045C2×C4⋊C4C23×C6111yescharacteristic
1046C2×C4⋊C4C23×C6111yescharacteristic
1047C2×C4⋊C4C23×C6111yescharacteristic
1048C2×C22⋊C4C23×C6111yescharacteristic
1049C2×C22⋊C4C23×C6111yescharacteristic
1050C2×C22⋊C4C23×C6111yescharacteristic
1051C2×C22⋊C4C23×C6111yescharacteristic
1052C2×C22⋊C4C23×C6111yescharacteristic
1053C2×C22⋊C4C23×C6111yescharacteristic
1054C2×C22⋊C4C23×C6111yescharacteristic
1055C2×C22⋊C4C23×C6111yescharacteristic
1056C2×C22⋊C4C23×C6111yescharacteristic
1057C2×C22⋊C4C23×C6111yescharacteristic
1058C2×C22⋊C4C23×C6111yescharacteristic
1059C2×C22⋊C4C23×C6111yescharacteristic
1060C2×C22⋊C4C23×C6111yescharacteristic
1061C2×C22⋊C4C23×C6111yescharacteristic
1062C2×C22⋊C4C23×C6111yescharacteristic
1063C2×C22⋊C4C23×C6111yescharacteristic
1064C2×C22⋊C4C23×C6111yescharacteristic
1065C2×C22⋊C4C23×C6111yescharacteristic
1066C2×C22⋊C4C23×C6111yescharacteristic
1067C2×C22⋊C4C23×C6111yescharacteristic
1068C2×C22⋊C4C23×C6111yescharacteristic
1069C2×C22⋊C4C23×C6111yescharacteristic
1070C2×C22⋊C4C23×C6111yescharacteristic
1071C2×C22⋊C4C23×C6111yescharacteristic
1072C2×C22⋊C4C23×C6111yescharacteristic
1073C2×C22⋊C4C23×C6111yescharacteristic
1074C2×C22⋊C4C23×C6111yescharacteristic
1075C2×C22⋊C4C23×C6111yescharacteristic
1076C2×C22⋊C4C23×C6111yescharacteristic
1077C2×C22⋊C4C23×C6111yescharacteristic
1078C2×C22⋊C4C23×C6111yescharacteristic
1079C2×C22⋊C4C23×C6111yescharacteristic
1080C2×C22⋊C4C23×C6111yescharacteristic
1081C2×C22⋊C4C23×C6111yescharacteristic
1082C2×C22⋊C4C23×C6111yescharacteristic
1083C2×C22⋊C4C23×C6111yescharacteristic
1084C2×C22⋊C4C23×C6111yescharacteristic
1085C2×C22⋊C4C23×C6111yescharacteristic
1086C2×C22⋊C4C23×C6111yescharacteristic
1087C2×C22⋊C4C23×C6111yescharacteristic
1088C2×C22⋊C4C23×C6111yescharacteristic
1089C2×C22⋊C4C23×C6111yescharacteristic
1090C2×C22⋊C4C23×C6111yescharacteristic
1091C2×C22⋊C4C23×C6111yescharacteristic
1092C2×C22⋊C4C23×C6111yescharacteristic
1093C2×C22⋊C4C23×C6111yescharacteristic
1094C2×C22⋊C4C23×C6111yescharacteristic
1095C2×C22⋊C4C23×C6111yescharacteristic
1096C2×C22⋊C4C23×C6111yescharacteristic
1097C2×C22⋊C4C23×C6111yescharacteristic
1098C2×C42—42no—
1099C2×C42C23×C6111yescharacteristic
1100C2×C42C23×C6111yescharacteristic
1101C2×C42C23×C6111yescharacteristic
1102C2×C42C23×C6111yescharacteristic
1103C2×C42C23×C6111yescharacteristic
1104C2×C42C23×C6111yescharacteristic
1105C2×C42C23×C6111yescharacteristic
1106C2×C42C23×C6111yescharacteristic
1107C2×C42C23×C6111yescharacteristic
1108#95C23×C6111yescharacteristic
1109#95C23×C6111yescharacteristic
1110#95C23×C6111yescharacteristic
1111#95C23×C6111yescharacteristic
1112#95C23×C6111yescharacteristic
1113#95C23×C6111yescharacteristic
1114#95C23×C6111yescharacteristic
1115#95C23×C6111yescharacteristic
1116#95C23×C6111yescharacteristic
1117#95C23×C6111yescharacteristic
1118#95C23×C6111yescharacteristic
1119#95C23×C6111yescharacteristic
1120#95C23×C6111yescharacteristic
1121#95C23×C6111yescharacteristic
1122#95C23×C6111yescharacteristic
1123#95C23×C6111yescharacteristic
1124#95C23×C6111yescharacteristic
1125#95C23×C6111yescharacteristic
1126#95C23×C6111yescharacteristic
1127#95C23×C6111yescharacteristic
1128#95C23×C6111yescharacteristic
1129#95C23×C6111yescharacteristic
1130#95C23×C6111yescharacteristic
1131#95C23×C6111yescharacteristic
1132#95C23×C6111yescharacteristic
1133#95C23×C6111yescharacteristic
1134#95C23×C6111yescharacteristic
1135#95C23×C6111yescharacteristic
1136#95C23×C6111yescharacteristic
1137#95C23×C6111yescharacteristic
1138#95C23×C6111yescharacteristic
1139#95C23×C6111yescharacteristic
1140#95C23×C6111yescharacteristic
1141#95C23×C6111yescharacteristic
1142#95C23×C6111yescharacteristic
1143#95C23×C6111yescharacteristic
1144#95C23×C6111yescharacteristic
1145#95C23×C6111yescharacteristic
1146#95C23×C6111yescharacteristic
1147#95C23×C6111yescharacteristic
1148#95C23×C6111yescharacteristic
1149#95C23×C6111yescharacteristic
1150#95C23×C6111yescharacteristic
1151#95C23×C6111yescharacteristic
1152C24C24×C6111yescharacteristic
1153C24C24×C6111yescharacteristic
1154C24C24×C6111yescharacteristic
1155C24C24×C6111yescharacteristic
1156C24C24×C6111yescharacteristic
1157C24C24×C6111yescharacteristic
1158C2×Q8—22no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4#41×C6114yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4C24×C6111yescharacteristic
1237C22×C4C24×C6111yescharacteristic
1238C22×C4C24×C6111yescharacteristic
1239C22×C4C24×C6111yescharacteristic
1240C22×C4C24×C6111yescharacteristic
1241C22×C4C24×C6111yescharacteristic
1242C22×C4C24×C6111yescharacteristic
1243C22×C4C24×C6111yescharacteristic
1244C22×C4C24×C6111yescharacteristic
1245C22×C4C24×C6111yescharacteristic
1246C22×C4C24×C6111yescharacteristic
1247C22×C4C24×C6111yescharacteristic
1248C22×C4C24×C6111yescharacteristic
1249C22×C4C24×C6111yescharacteristic
1250C22×C4C24×C6111yescharacteristic
1251C22×C4C24×C6111yescharacteristic
1252C22×C4C24×C6111yescharacteristic
1253C22×C4C24×C6111yescharacteristic
1254C22×C4C24×C6111yescharacteristic
1255C22×C4C24×C6111yescharacteristic
1256C22×C4C24×C6111yescharacteristic
1257C22×C4C24×C6111yescharacteristic
1258C22×C4C24×C6111yescharacteristic
1259C22×C4C24×C6111yescharacteristic
1260C22×C4C24×C6111yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23C2×#41×C6112yes—
1387C23C2×#41×C6112yes—
1388C23C25×C6111yescharacteristic
1389Q8—82no—
1390D4—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4C2×#41×C6112yes—
1487C2×C4H(5,𝔽2)×C6112yes—
1488C2×C4H(5,𝔽2)×C6112yes—
1489C2×C4H(5,𝔽2)×C6112yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22C22×#41×C6111yescharacteristic
1533C22C2×H(5,𝔽2)×C6111yescharacteristic
1534C22C2×H(5,𝔽2)×C6111yescharacteristic
1535C22C2×H(5,𝔽2)×C6111yescharacteristic
1536C22C61×#58511yescharacteristic
1537C22C61×#58511yescharacteristic
1538C22C61×#58511yescharacteristic
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C2—42no—
1565C2—42no—
1566C2—81no—
1567C2—81no—
1568C2—81no—
1569C2—81no—
1570C2C61×#345911yescharacteristic
1571C2C61×#351311yescharacteristic
1572C2C61×#351411yescharacteristic
1573C2C61×#354211yescharacteristic
1574C2C61×#354211yescharacteristic
1575C2C61×#354611yescharacteristic
1576C2C61×#356711yescharacteristic
subgroupG/H
center, socleC23×C61C25
commutator, Frattini, cosocleC23C25×C61
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#2853C2semidirect
2. C61×#2850C2semidirect
3. C61×#2803C2semidirect
4. C61×#2781C2semidirect
5. C61×#2778C2semidirect
6. C61×#2767C2semidirect
7. C61×#2746C2semidirect
8. C61×#2743C2semidirect
9. C61×#2732C2semidirect
10. C61×#2710C2semidirect
11. C61×#2706C2semidirect
12. C61×#2699C2semidirect
13. C61×#2696C2semidirect
14. C61×#2693C2semidirect
15. C61×#2688C2semidirect
16. C61×#2676C2semidirect
17. C61×#2673C2semidirect
18. C61×#2673C2semidirect
19. C61×#2636C2semidirect
20. C61×#2635C2semidirect
21. C61×#2529C2semidirect
22. C61×#2527C2semidirect
23. C61×#2488C2semidirect
24. C61×#2468C2semidirect
25. C61×#2467C2semidirect
26. C61×#2464C2semidirect
27. C61×#2456C2semidirect
28. C61×#2444C2semidirect
29. C61×#2328C2semidirect
30. C61×#2325C2semidirect
31. C4×#121×C61C2semidirect
701. #36844C61direct (N × H)
776. #2853C2×C61semidirect
777. #2850C2×C61semidirect
778. #2803C2×C61semidirect
779. #2781C2×C61semidirect
780. #2778C2×C61semidirect
781. #2767C2×C61semidirect
782. #2746C2×C61semidirect
783. #2743C2×C61semidirect
784. #2732C2×C61semidirect
785. #2710C2×C61semidirect
786. #2706C2×C61semidirect
787. #2699C2×C61semidirect
788. #2696C2×C61semidirect
789. #2693C2×C61semidirect
790. #2688C2×C61semidirect
791. #2676C2×C61semidirect
792. #2673C2×C61semidirect
793. #2673C2×C61semidirect
794. #2636C2×C61semidirect
795. #2635C2×C61semidirect
796. #2529C2×C61semidirect
797. #2527C2×C61semidirect
798. #2488C2×C61semidirect
799. #2468C2×C61semidirect
800. #2467C2×C61semidirect
801. #2464C2×C61semidirect
802. #2456C2×C61semidirect
803. #2444C2×C61semidirect
804. #2328C2×C61semidirect
805. #2325C2×C61semidirect
806. C4×#121C2×C61semidirect
975. C61#36844direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#28532
C61×#28502
C61×#28032
C61×#27812
C61×#27782
C61×#27672
C61×#27462
C61×#27432
C61×#27322
C61×#27102
C61×#27062
C61×#26992
C61×#26962
C61×#26932
C61×#26882
C61×#26762
C61×#26732
C61×#26362
C61×#26352
C61×#25292
C61×#25272
C61×#24882
C61×#24682
C61×#24672
C61×#24642
C61×#24562
C61×#24442
C61×#23282
C61×#23252
C4×#121×C612
#3684461