Finite Group Databasebeta

← D61×#2418 #29847443

Subgroups — D61×#2418 #29847443

Order 15616.

5054 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D61C211yesmaximal, characteristic, complemented
2C2×#120×D61C211yesmaximal, characteristic
3C2×C4×D4×D61C211yesmaximal, characteristic, complemented
4C22×C22⋊C4×D61C211yesmaximal, characteristic, complemented
5#21449288C211yesmaximal, characteristic, complemented
6#21449287C211yesmaximal, characteristic, complemented
7#21449286C211yesmaximal, characteristic, complemented
8#21449285C211yesmaximal, characteristic, complemented
9#21449284C211yesmaximal, characteristic, complemented
10#21449283C211yesmaximal, characteristic, complemented
11#21449282C211yesmaximal, characteristic, complemented
12#21449281C211yesmaximal, characteristic, complemented
13#21449280C211yesmaximal, characteristic, complemented
14#21449279C211yesmaximal, characteristic, complemented
15#21449278C211yesmaximal, characteristic, complemented
16#21449277C211yesmaximal, characteristic, complemented
17#21449276C211yesmaximal, characteristic, complemented
18#21449275C211yesmaximal, characteristic, complemented
19#21449274C211yesmaximal, characteristic, complemented
20#399×D61C211yesmaximal, characteristic, complemented
21#397×D61C211yesmaximal, characteristic, complemented
22#394×D61C211yesmaximal, characteristic, complemented
23#394×D61C211yesmaximal, characteristic, complemented
24#388×D61C211yesmaximal, characteristic, complemented
25#388×D61C211yesmaximal, characteristic, complemented
26#386×D61C211yesmaximal, characteristic, complemented
27#386×D61C211yesmaximal, characteristic, complemented
28#385×D61C211yesmaximal, characteristic, complemented
29#380×D61C211yesmaximal, characteristic, complemented
30#379×D61C211yesmaximal, characteristic, complemented
31C61×#2418C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36C23×C4×D61C2211yescharacteristic
37C23×C4×D61C2211yescharacteristic
38C23×C4×D61C2211yescharacteristic, complemented
39C2×#14519762C2211yescharacteristic, complemented
40C2×#14519762C2211yescharacteristic, complemented
41C2×#14519761C2211yescharacteristic, complemented
42C2×#14519760C2211yescharacteristic, complemented
43C2×#14519759C2211yescharacteristic, complemented
44C2×#14519759C2211yescharacteristic, complemented
45C2×#14519758C2211yescharacteristic, complemented
46#123×D61—28no—
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519746C2211yescharacteristic
51C2×#14519745C2211yescharacteristic
52C2×#14519745C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54#120×D61—28no—
55C2×C4×D244C2211yescharacteristic, complemented
56C2×D4×Dic61C2211yescharacteristic, complemented
57C2×#14519739C2211yescharacteristic, complemented
58C2×C4×C22⋊D61C2211yescharacteristic, complemented
59C2×C4×C22⋊D61C2211yescharacteristic, complemented
60C2×#14519737C2211yescharacteristic, complemented
61C2×#14519737C2211yescharacteristic, complemented
62C4×D4×D61—28no—
63C2×C4⋊C4×D61C2211yescharacteristic, complemented
64C2×C4⋊C4×D61C2211yescharacteristic, complemented
65C2×C4⋊C4×D61C2211yescharacteristic, complemented
66C2×C4⋊C4×D61C2211yescharacteristic, complemented
67C2×C4⋊C4×D61C2211yescharacteristic, complemented
68C22×C22⋊Dic61C2211yescharacteristic, complemented
69C22×#11758198C2211yescharacteristic, complemented
70C22×#11758198C2211yescharacteristic, complemented
71C2×C22⋊C4×D61—28no—
72C2×C22⋊C4×D61C2211yescharacteristic
73C2×C22⋊C4×D61C2211yescharacteristic
74C2×C22⋊C4×D61C2211yescharacteristic
75C2×C22⋊C4×D61C2211yescharacteristic
76C2×C22⋊C4×D61C2211yescharacteristic
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C22⋊C4×D61C2211yescharacteristic
79C2×C22⋊C4×D61C2211yescharacteristic
80C2×C22⋊C4×D61C2211yescharacteristic
81C2×C22⋊C4×D61C2211yescharacteristic
82C2×C22⋊C4×D61C2211yescharacteristic
83C2×C22⋊C4×D61C2211yescharacteristic
84C2×C22⋊C4×D61C2211yescharacteristic
85C2×C22⋊C4×D61C2211yescharacteristic, complemented
86C2×C22⋊C4×D61C2211yescharacteristic, complemented
87C2×C22⋊C4×D61C2211yescharacteristic, complemented
88C2×C22⋊C4×D61C2211yescharacteristic, complemented
89C2×C22⋊C4×D61C2211yescharacteristic, complemented
90C2×C22⋊C4×D61C2211yescharacteristic, complemented
91C2×C22⋊C4×D61C2211yescharacteristic, complemented
92C2×C42×D61C2211yescharacteristic, complemented
93#16839699C2211yescharacteristic, complemented
94#16839698C2211yescharacteristic, complemented
95#16839698C2211yescharacteristic, complemented
96#16839698C2211yescharacteristic, complemented
97#16839697C2211yescharacteristic, complemented
98#16839697C2211yescharacteristic, complemented
99#16839697C2211yescharacteristic, complemented
100#16839691C2211yescharacteristic, complemented
101#16839691C2211yescharacteristic, complemented
102#16839690C2211yescharacteristic, complemented
103#16839690C2211yescharacteristic, complemented
104#16839689C2211yescharacteristic, complemented
105#16839688C2211yescharacteristic, complemented
106#16839687C2211yescharacteristic, complemented
107#16839680C2211yescharacteristic, complemented
108#16839680C2211yescharacteristic, complemented
109#16839679C2211yescharacteristic, complemented
110#16839679C2211yescharacteristic, complemented
111#16839678C2211yescharacteristic, complemented
112#16839678C2211yescharacteristic, complemented
113#16839678C2211yescharacteristic, complemented
114#16839678C2211yescharacteristic, complemented
115#16839677C2211yescharacteristic, complemented
116#16839677C2211yescharacteristic, complemented
117#16839677C2211yescharacteristic, complemented
118#16839677C2211yescharacteristic, complemented
119#16839676C2211yescharacteristic, complemented
120#16839676C2211yescharacteristic, complemented
121#16839656C2211yescharacteristic, complemented
122#16839656C2211yescharacteristic, complemented
123#16839655C2211yescharacteristic, complemented
124#16839655C2211yescharacteristic, complemented
125#16839654C2211yescharacteristic, complemented
126#16839654C2211yescharacteristic, complemented
127#16839653C2211yescharacteristic, complemented
128#16839653C2211yescharacteristic, complemented
129#16839652C2211yescharacteristic, complemented
130#16839652C2211yescharacteristic, complemented
131#16839651C2211yescharacteristic, complemented
132#16839651C2211yescharacteristic, complemented
133#16839650C2211yescharacteristic, complemented
134#16839650C2211yescharacteristic, complemented
135#16839642C2211yescharacteristic, complemented
136#16839642C2211yescharacteristic, complemented
137#16839641C2211yescharacteristic, complemented
138#16839641C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic, complemented
144#16839639C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839637C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic, complemented
153#16839634C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839622C2211yescharacteristic, complemented
157#16839621C2211yescharacteristic, complemented
158#16839621C2211yescharacteristic, complemented
159#16839620C2211yescharacteristic, complemented
160#16839620C2211yescharacteristic, complemented
161#16839619C2211yescharacteristic, complemented
162#16839619C2211yescharacteristic, complemented
163#16839618C2211yescharacteristic, complemented
164#16839617C2211yescharacteristic, complemented
165#16839617C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174#95×D61C2211yescharacteristic, complemented
175#95×D61C2211yescharacteristic, complemented
176C2×#123×C61C2211yescharacteristic, complemented
177C2×#120×C61C2211yescharacteristic
178C2×C4×D4×C61C2211yescharacteristic, complemented
179C22×C22⋊C4×C61C2211yescharacteristic, complemented
180C61×#399C2211yescharacteristic, complemented
181C61×#397C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic, complemented
183C61×#394C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C61×#385C2211yescharacteristic, complemented
189C61×#380C2211yescharacteristic, complemented
190C61×#379C2211yescharacteristic, complemented
191C24×D61—24no—
192C24×D61—24no—
193C24×D61—24no—
194C24×D61—24no—
195C24×D61—24no—
196C24×D61—42no—
197C24×D61—42no—
198C24×D61C2311yescharacteristic
199C24×D61C2311yescharacteristic
200C24×D61C2311yescharacteristic
201C24×D61C2311yescharacteristic
202C24×D61C2311yescharacteristic
203C24×D61C2311yescharacteristic
204C24×D61C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
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—24no—
218C2×D4×D61—24no—
219C2×D4×D61—24no—
220C2×D4×D61—42no—
221C2×D4×D61—42no—
222C2×D4×D61D418yes—
223C23×Dic61C2311yescharacteristic
224C23×Dic61C2311yescharacteristic
225C23×Dic61C2311yescharacteristic, complemented
226C22×C4×D61—24no—
227C22×C4×D61—24no—
228C22×C4×D61—24no—
229C22×C4×D61—24no—
230C22×C4×D61—24no—
231C22×C4×D61—24no—
232C22×C4×D61—42no—
233C22×C4×D61—42no—
234C22×C4×D61—42no—
235C22×C4×D61C2311yescharacteristic
236C22×C4×D61C2311yescharacteristic
237C22×C4×D61C2311yescharacteristic
238C22×C4×D61C2311yescharacteristic
239C22×C4×D61C2311yescharacteristic
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic
242C22×C4×D61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244C22×C4×D61C2311yescharacteristic
245C22×C4×D61C2311yescharacteristic
246C22×C4×D61C2311yescharacteristic
247C22×C4×D61C2311yescharacteristic
248C22×C4×D61C2311yescharacteristic
249C22×C4×D61C2311yescharacteristic
250C22×C4×D61C2311yescharacteristic, complemented
251C22×C4×D61C2311yescharacteristic, complemented
252#14519762—24no—
253#14519762—24no—
254#14519761—24no—
255#14519760—24no—
256#14519759—24no—
257#14519759—24no—
258#14519758—24no—
259#14519747—24no—
260#14519747—24no—
261#14519747—24no—
262#14519746—24no—
263#14519745—24no—
264#14519745—24no—
265#14519745—24no—
266C4×D244—24no—
267D4×Dic61—24no—
268#14519739—24no—
269C4×C22⋊D61—24no—
270C4×C22⋊D61—24no—
271#14519737—24no—
272#14519737—24no—
273C2×C4⋊Dic61C2311yescharacteristic, complemented
274C2×C4⋊Dic61C2311yescharacteristic, complemented
275C2×C4⋊Dic61C2311yescharacteristic, complemented
276C2×C4⋊Dic61C2311yescharacteristic, complemented
277C2×C4⋊Dic61C2311yescharacteristic, complemented
278C2×#11758196C2311yescharacteristic, complemented
279C2×#11758196C2311yescharacteristic, complemented
280C2×#11758196C2311yescharacteristic, complemented
281C2×#11758196C2311yescharacteristic, complemented
282C2×#11758196C2311yescharacteristic, complemented
283C2×#11758196C2311yescharacteristic, complemented
284C2×#11758196C2311yescharacteristic, complemented
285C2×#11758196C2311yescharacteristic, complemented
286C2×#11758196C2311yescharacteristic, complemented
287C2×#11758196C2311yescharacteristic, complemented
288C4⋊C4×D61—24no—
289C4⋊C4×D61—24no—
290C4⋊C4×D61—24no—
291C4⋊C4×D61—42no—
292C4⋊C4×D61—42no—
293C2×C22⋊Dic61—24no—
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic, complemented
308C2×C22⋊Dic61C2311yescharacteristic, complemented
309C2×C22⋊Dic61C2311yescharacteristic, complemented
310C2×#11758198—24no—
311C2×#11758198—24no—
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, complemented
339C2×#11758198C2311yescharacteristic, complemented
340C2×#11758198C2311yescharacteristic, complemented
341C2×#11758198C2311yescharacteristic, complemented
342C2×#11758198C2311yescharacteristic, complemented
343C2×#11758198C2311yescharacteristic, complemented
344C22⋊C4×D61—24no—
345C22⋊C4×D61—24no—
346C22⋊C4×D61—24no—
347C22⋊C4×D61—24no—
348C22⋊C4×D61—24no—
349C22⋊C4×D61—24no—
350C22⋊C4×D61—24no—
351C22⋊C4×D61—24no—
352C22⋊C4×D61—24no—
353C22⋊C4×D61—24no—
354C22⋊C4×D61—24no—
355C22⋊C4×D61—24no—
356C22⋊C4×D61—24no—
357C22⋊C4×D61—24no—
358C22⋊C4×D61—24no—
359C22⋊C4×D61—24no—
360C22⋊C4×D61—42no—
361C22⋊C4×D61—42no—
362C22⋊C4×D61—42no—
363C22⋊C4×D61D418yescomplemented
364C2×C4×Dic61C2311yescharacteristic, complemented
365C2×C4×Dic61C2311yescharacteristic, complemented
366C2×C4×Dic61C2311yescharacteristic, complemented
367C42×D61—24no—
368#14519684C2311yescharacteristic, complemented
369#14519684C2311yescharacteristic, complemented
370#14519684C2311yescharacteristic, complemented
371#14519684C2311yescharacteristic, complemented
372#14519684C2311yescharacteristic, complemented
373#14519684C2311yescharacteristic, complemented
374#14519684C2311yescharacteristic, complemented
375#14519684C2311yescharacteristic, complemented
376#14519684C2311yescharacteristic, complemented
377#14519684C2311yescharacteristic, complemented
378#14519684C2311yescharacteristic, complemented
379#14519684C2311yescharacteristic, complemented
380#14519684C2311yescharacteristic, complemented
381#14519684C2311yescharacteristic, complemented
382#14519684C2311yescharacteristic, complemented
383#14519684C2311yescharacteristic, complemented
384#14519684C2311yescharacteristic, complemented
385#14519684C2311yescharacteristic, complemented
386C25×C61C2311yescharacteristic
387C22×D4×C61C2311yescharacteristic
388C22×D4×C61C2311yescharacteristic
389C22×D4×C61C2311yescharacteristic
390C23×C4×C61C2311yescharacteristic
391C23×C4×C61C2311yescharacteristic
392C23×C4×C61C2311yescharacteristic, complemented
393#123×C61—24no—
394#120×C61—24no—
395C4×D4×C61—24no—
396C2×C4⋊C4×C61C2311yescharacteristic, complemented
397C2×C4⋊C4×C61C2311yescharacteristic, complemented
398C2×C4⋊C4×C61C2311yescharacteristic, complemented
399C2×C4⋊C4×C61C2311yescharacteristic, complemented
400C2×C4⋊C4×C61C2311yescharacteristic, complemented
401C2×C22⋊C4×C61—24no—
402C2×C22⋊C4×C61C2311yescharacteristic
403C2×C22⋊C4×C61C2311yescharacteristic
404C2×C22⋊C4×C61C2311yescharacteristic
405C2×C22⋊C4×C61C2311yescharacteristic
406C2×C22⋊C4×C61C2311yescharacteristic
407C2×C22⋊C4×C61C2311yescharacteristic
408C2×C22⋊C4×C61C2311yescharacteristic
409C2×C22⋊C4×C61C2311yescharacteristic
410C2×C22⋊C4×C61C2311yescharacteristic
411C2×C22⋊C4×C61C2311yescharacteristic
412C2×C22⋊C4×C61C2311yescharacteristic
413C2×C22⋊C4×C61C2311yescharacteristic
414C2×C22⋊C4×C61C2311yescharacteristic
415C2×C22⋊C4×C61C2311yescharacteristic, complemented
416C2×C22⋊C4×C61C2311yescharacteristic, complemented
417C2×C22⋊C4×C61C2311yescharacteristic, complemented
418C2×C42×C61C2311yescharacteristic, complemented
419#95×C61C2311yescharacteristic, complemented
420#95×C61C2311yescharacteristic, complemented
421#95×C61C2311yescharacteristic, complemented
422#95×C61C2311yescharacteristic, complemented
423#95×C61C2311yescharacteristic, complemented
424#95×C61C2311yescharacteristic, complemented
425C24×C61—22no—
426C24×C61—22no—
427C24×C61—22no—
428C24×C61—22no—
429C24×C61—22no—
430C24×C61—41no—
431C24×C61—41no—
432C24×C61C2411yescharacteristic
433C24×C61C2411yescharacteristic
434C24×C61C2411yescharacteristic
435C24×C61C2411yescharacteristic
436C23×D61—22no—
437C23×D61—22no—
438C23×D61—22no—
439C23×D61—22no—
440C23×D61—232no—
441C23×D61—22no—
442C23×D61—22no—
443C23×D61—22no—
444C23×D61—22no—
445C23×D61—22no—
446C23×D61—22no—
447C23×D61—22no—
448C23×D61—22no—
449C23×D61—22no—
450C23×D61—22no—
451C23×D61—22no—
452C23×D61—22no—
453C23×D61—22no—
454C23×D61—22no—
455C23×D61—22no—
456C23×D61—22no—
457C23×D61—22no—
458C23×D61—22no—
459C23×D61—22no—
460C23×D61—22no—
461C23×D61—22no—
462C23×D61—22no—
463C23×D61—22no—
464C23×D61—22no—
465C23×D61—22no—
466C23×D61—22no—
467C23×D61—22no—
468C23×D61—22no—
469C23×D61—22no—
470C23×D61—22no—
471C23×D61—22no—
472C23×D61—22no—
473C23×D61—22no—
474C23×D61—41no—
475C23×D61—41no—
476C23×D61—41no—
477C23×D61—41no—
478C23×D61—41no—
479C23×D61—41no—
480C23×D61—416no—
481C23×D61—416no—
482C23×D61—416no—
483C23×D61—416no—
484C23×D61—416no—
485C23×D61—416no—
486C23×D61C2×D414yes—
487C23×D61C2×D414yes—
488C23×D61C2×D414yes—
489C23×D61#4114yes—
490C23×D61#4114yes—
491C23×D61#4114yes—
492C23×D61C2411yescharacteristic
493C23×D61C2411yescharacteristic
494C23×D61C2411yescharacteristic
495C23×D61C2411yescharacteristic
496C23×D61C2411yescharacteristic
497C2×D4×C61—22no—
498C2×D4×C61—22no—
499C2×D4×C61—22no—
500C2×D4×C61—22no—
501C2×D4×C61—22no—
502C2×D4×C61—22no—
503C2×D4×C61—41no—
504C2×D4×C61—41no—
505C2×D4×C61C2×D414yes—
506C22×C4×C61—22no—
507C22×C4×C61—22no—
508C22×C4×C61—22no—
509C22×C4×C61—22no—
510C22×C4×C61—22no—
511C22×C4×C61—22no—
512C22×C4×C61—41no—
513C22×C4×C61—41no—
514C22×C4×C61—41no—
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C22×C4×C61C2411yescharacteristic
518C22×C4×C61C2411yescharacteristic
519C22×C4×C61C2411yescharacteristic
520C22×C4×C61C2411yescharacteristic
521C22×C4×C61C2411yescharacteristic
522C22×C4×C61C2411yescharacteristic
523C22×C4×C61C2411yescharacteristic
524C22×C4×C61C2411yescharacteristic
525C22×C4×C61C2411yescharacteristic
526C2×C22⋊D61—22no—
527C2×C22⋊D61—22no—
528C2×C22⋊D61—22no—
529C2×C22⋊D61—22no—
530C2×C22⋊D61—22no—
531C2×C22⋊D61—22no—
532C2×C22⋊D61—22no—
533C2×C22⋊D61—22no—
534C2×C22⋊D61—22no—
535C2×C22⋊D61—22no—
536C2×C22⋊D61—22no—
537C2×C22⋊D61—22no—
538C2×C22⋊D61—41no—
539C2×C22⋊D61—41no—
540C2×C22⋊D61—41no—
541C2×C22⋊D61—41no—
542C2×C22⋊D61C2×D414yes—
543C2×C22⋊D61C2×D414yes—
544C22×Dic61—22no—
545C22×Dic61—22no—
546C22×Dic61—22no—
547C22×Dic61—22no—
548C22×Dic61—22no—
549C22×Dic61—22no—
550C22×Dic61—41no—
551C22×Dic61—41no—
552C22×Dic61—41no—
553C22×Dic61C2411yescharacteristic
554C22×Dic61C2411yescharacteristic
555C22×Dic61C2411yescharacteristic
556C22×Dic61C2411yescharacteristic
557C22×Dic61C2411yescharacteristic
558C22×Dic61C2411yescharacteristic
559C22×Dic61C2411yescharacteristic
560C22×Dic61C2411yescharacteristic
561C22×Dic61C2411yescharacteristic
562C22×Dic61C2411yescharacteristic
563C22×Dic61C2411yescharacteristic
564D4×D61—232no—
565D4×D61—416no—
566D4×D61—416no—
567C2×D244—22no—
568C2×D244—22no—
569C2×D244—22no—
570C2×D244—22no—
571C2×D244—22no—
572C2×D244—22no—
573C2×D244—41no—
574C2×D244—41no—
575C2×D244C2×D414yes—
576C2×C4×D61—22no—
577C2×C4×D61—22no—
578C2×C4×D61—22no—
579C2×C4×D61—22no—
580C2×C4×D61—22no—
581C2×C4×D61—22no—
582C2×C4×D61—22no—
583C2×C4×D61—22no—
584C2×C4×D61—22no—
585C2×C4×D61—22no—
586C2×C4×D61—22no—
587C2×C4×D61—22no—
588C2×C4×D61—22no—
589C2×C4×D61—22no—
590C2×C4×D61—22no—
591C2×C4×D61—22no—
592C2×C4×D61—22no—
593C2×C4×D61—22no—
594C2×C4×D61—22no—
595C2×C4×D61—22no—
596C2×C4×D61—22no—
597C2×C4×D61—22no—
598C2×C4×D61—22no—
599C2×C4×D61—22no—
600C2×C4×D61—22no—
601C2×C4×D61—22no—
602C2×C4×D61—22no—
603C2×C4×D61—22no—
604C2×C4×D61—22no—
605C2×C4×D61—22no—
606C2×C4×D61—22no—
607C2×C4×D61—22no—
608C2×C4×D61—22no—
609C2×C4×D61—22no—
610C2×C4×D61—22no—
611C2×C4×D61—22no—
612C2×C4×D61—22no—
613C2×C4×D61—22no—
614C2×C4×D61—22no—
615C2×C4×D61—22no—
616C2×C4×D61—22no—
617C2×C4×D61—22no—
618C2×C4×D61—416no—
619C2×C4×D61—416no—
620C2×C4×D61—416no—
621C2×C4×D61—41no—
622C2×C4×D61—41no—
623C2×C4×D61—41no—
624C2×C4×D61—41no—
625C2×C4×D61—41no—
626C2×C4×D61—41no—
627C2×C4×D61C2×D414yes—
628C2×C4×D61C2×D414yes—
629C2×C4×D61C2×D414yes—
630C4⋊C4×C61—22no—
631C4⋊C4×C61—22no—
632C4⋊C4×C61—22no—
633C4⋊C4×C61—41no—
634C4⋊C4×C61—41no—
635C22⋊C4×C61—22no—
636C22⋊C4×C61—22no—
637C22⋊C4×C61—22no—
638C22⋊C4×C61—22no—
639C22⋊C4×C61—22no—
640C22⋊C4×C61—22no—
641C22⋊C4×C61—22no—
642C22⋊C4×C61—22no—
643C22⋊C4×C61—22no—
644C22⋊C4×C61—22no—
645C22⋊C4×C61—22no—
646C22⋊C4×C61—22no—
647C22⋊C4×C61—41no—
648C22⋊C4×C61—41no—
649C22⋊C4×C61—41no—
650C22⋊C4×C61C2×D414yescomplemented
651C42×C61—22no—
652C22⋊Dic61—22no—
653C22⋊Dic61—22no—
654C22⋊Dic61—22no—
655C22⋊Dic61—22no—
656C22⋊Dic61—22no—
657C22⋊Dic61—22no—
658C22⋊Dic61—22no—
659C22⋊Dic61—22no—
660C22⋊Dic61—22no—
661C22⋊Dic61—22no—
662C22⋊Dic61—22no—
663C22⋊Dic61—22no—
664C22⋊Dic61—41no—
665C22⋊Dic61—41no—
666C22⋊Dic61—41no—
667C22⋊Dic61C2×D414yescomplemented
668#11758198—22no—
669#11758198—22no—
670#11758198—22no—
671#11758198—22no—
672#11758198—22no—
673#11758198—22no—
674#11758198—22no—
675#11758198—22no—
676#11758198—22no—
677#11758198—22no—
678#11758198—22no—
679#11758198—22no—
680#11758198—22no—
681#11758198—22no—
682#11758198—22no—
683#11758198—22no—
684#11758198—22no—
685#11758198—22no—
686#11758198—22no—
687#11758198—22no—
688#11758198—22no—
689#11758198—22no—
690#11758198—22no—
691#11758198—22no—
692#11758198—41no—
693#11758198—41no—
694#11758198—41no—
695#11758198—41no—
696#11758198—41no—
697#11758198—41no—
698#11758198C2×D414yescomplemented
699#11758198C2×D414yescomplemented
700C4⋊Dic61—22no—
701C4⋊Dic61—22no—
702C4⋊Dic61—22no—
703C4⋊Dic61—41no—
704C4⋊Dic61—41no—
705#11758196—22no—
706#11758196—22no—
707#11758196—22no—
708#11758196—22no—
709#11758196—22no—
710#11758196—22no—
711#11758196—41no—
712#11758196—41no—
713#11758196—41no—
714#11758196—41no—
715C4×Dic61—22no—
716C4×Dic61—22no—
717C4×Dic61—22no—
718C23×C61—21no—
719C23×C61—21no—
720C23×C61—21no—
721C23×C61—21no—
722C23×C61—28no—
723C23×C61—21no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61—21no—
727C23×C61—21no—
728C23×C61—21no—
729C23×C61—21no—
730C23×C61—21no—
731C23×C61—21no—
732C23×C61—21no—
733C23×C61—21no—
734C23×C61—21no—
735C23×C61—21no—
736C23×C61—21no—
737C23×C61—21no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61—44no—
742C23×C61—44no—
743C23×C61—44no—
744C23×C61—44no—
745C23×C61—44no—
746C23×C61—44no—
747C23×C61C22×D412yes—
748C23×C61C22×D412yes—
749C23×C61C22×D412yes—
750C23×C61C2×#4112yes—
751C23×C61C2×#4112yes—
752C23×C61C2×#4112yes—
753C23×C61C2511yescharacteristic
754C22×D61—21no—
755C22×D61—21no—
756C22×D61—21no—
757C22×D61—21no—
758C22×D61—28no—
759C22×D61—28no—
760C22×D61—28no—
761C22×D61—28no—
762C22×D61—28no—
763C22×D61—28no—
764C22×D61—28no—
765C22×D61—28no—
766C22×D61—28no—
767C22×D61—21no—
768C22×D61—21no—
769C22×D61—21no—
770C22×D61—21no—
771C22×D61—21no—
772C22×D61—21no—
773C22×D61—21no—
774C22×D61—21no—
775C22×D61—21no—
776C22×D61—21no—
777C22×D61—21no—
778C22×D61—21no—
779C22×D61—21no—
780C22×D61—21no—
781C22×D61—21no—
782C22×D61—21no—
783C22×D61—21no—
784C22×D61—21no—
785C22×D61—28no—
786C22×D61—28no—
787C22×D61—28no—
788C22×D61—28no—
789C22×D61—28no—
790C22×D61—28no—
791C22×D61—28no—
792C22×D61—28no—
793C22×D61—28no—
794C22×D61—44no—
795C22×D61—44no—
796C22×D61—44no—
797C22×D61—44no—
798C22×D61—44no—
799C22×D61—44no—
800C22×D61—44no—
801C22×D61—44no—
802C22×D61—44no—
803C22×D61—44no—
804C22×D61—44no—
805C22×D61—44no—
806C22×D61—44no—
807C22×D61—44no—
808C22×D61—4128no—
809C22×D61—44no—
810C22×D61—44no—
811C22×D61—44no—
812C22×D61—44no—
813C22×D61—44no—
814C22×D61—44no—
815C22×D61—44no—
816C22×D61—44no—
817C22×D61—44no—
818C22×D61—44no—
819C22×D61—44no—
820C22×D61—44no—
821C22×D61—44no—
822C22×D61—44no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61#123116yescomplemented
826C22×D61C22×D412yes—
827C22×D61C22×D412yes—
828C22×D61C22×D412yes—
829C22×D61C22×D412yes—
830C22×D61C22×D412yes—
831C22×D61C2×#4112yes—
832C22×D61C2×#4112yes—
833C22×D61C2×#4112yes—
834C22×D61C2×#4112yes—
835C22×D61C2×#4112yes—
836C22×D61C2×#4112yes—
837C22×D61H(5,𝔽2)12yes—
838C22×D61H(5,𝔽2)12yes—
839D4×C61—28no—
840D4×C61—44no—
841D4×C61—44no—
842C2×C4×C61—21no—
843C2×C4×C61—21no—
844C2×C4×C61—21no—
845C2×C4×C61—21no—
846C2×C4×C61—21no—
847C2×C4×C61—21no—
848C2×C4×C61—21no—
849C2×C4×C61—21no—
850C2×C4×C61—21no—
851C2×C4×C61—21no—
852C2×C4×C61—21no—
853C2×C4×C61—21no—
854C2×C4×C61—21no—
855C2×C4×C61—21no—
856C2×C4×C61—21no—
857C2×C4×C61—21no—
858C2×C4×C61—21no—
859C2×C4×C61—21no—
860C2×C4×C61—21no—
861C2×C4×C61—21no—
862C2×C4×C61—21no—
863C2×C4×C61—21no—
864C2×C4×C61—21no—
865C2×C4×C61—21no—
866C2×C4×C61—21no—
867C2×C4×C61—21no—
868C2×C4×C61—21no—
869C2×C4×C61—21no—
870C2×C4×C61—21no—
871C2×C4×C61—21no—
872C2×C4×C61—44no—
873C2×C4×C61—44no—
874C2×C4×C61—44no—
875C2×C4×C61C22×D412yes—
876C2×C4×C61C22×D412yes—
877C2×C4×C61C22×D412yes—
878C22⋊D61—28no—
879C22⋊D61—28no—
880C22⋊D61—44no—
881C22⋊D61—44no—
882C22⋊D61—44no—
883C22⋊D61—44no—
884C2×Dic61—21no—
885C2×Dic61—21no—
886C2×Dic61—21no—
887C2×Dic61—21no—
888C2×Dic61—21no—
889C2×Dic61—21no—
890C2×Dic61—21no—
891C2×Dic61—21no—
892C2×Dic61—21no—
893C2×Dic61—21no—
894C2×Dic61—21no—
895C2×Dic61—21no—
896C2×Dic61—21no—
897C2×Dic61—21no—
898C2×Dic61—21no—
899C2×Dic61—21no—
900C2×Dic61—21no—
901C2×Dic61—21no—
902C2×Dic61—21no—
903C2×Dic61—21no—
904C2×Dic61—21no—
905C2×Dic61—21no—
906C2×Dic61—21no—
907C2×Dic61—21no—
908C2×Dic61—21no—
909C2×Dic61—21no—
910C2×Dic61—21no—
911C2×Dic61—21no—
912C2×Dic61—21no—
913C2×Dic61—21no—
914C2×Dic61—44no—
915C2×Dic61—44no—
916C2×Dic61—44no—
917C2×Dic61C22×D412yes—
918C2×Dic61C22×D412yes—
919C2×Dic61C22×D412yes—
920D244—28no—
921D244—44no—
922D244—44no—
923C4×D61—28no—
924C4×D61—28no—
925C4×D61—28no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930C4×D61—44no—
931C4×D61—44no—
932C4×D61—44no—
933C4×D61—44no—
934C4×D61—44no—
935C4×D61—44no—
936C4×D61—44no—
937C4×D61—44no—
938C4×D61—44no—
939C4×D61—44no—
940C2×#2418—611nomaximal, Sylow
941C22×C61—22no—
942C22×C61—22no—
943C22×C61—22no—
944C22×C61—22no—
945C22×C61—22no—
946C22×C61—22no—
947C22×C61—22no—
948C22×C61—22no—
949C22×C61—22no—
950C22×C61—22no—
951C22×C61—22no—
952C22×C61—22no—
953C22×C61—22no—
954C22×C61—22no—
955C22×C61—22no—
956C22×C61—416no—
957C22×C61—41no—
958C22×C61—41no—
959C22×C61—41no—
960C22×C61—41no—
961C22×C61—41no—
962C22×C61—41no—
963C22×C61—41no—
964C22×C61—41no—
965C22×C61—41no—
966C22×C61—41no—
967C22×C61—41no—
968C22×C61—41no—
969C22×C61C2×#12314yescomplemented
970C22×C61C23×D411yescharacteristic
971C22×C61C23×D411yescharacteristic
972C22×C61C22×#4111yescharacteristic
973C22×C61C22×#4111yescharacteristic
974C22×C61C22×#4111yescharacteristic
975C22×C61C2×H(5,𝔽2)11yescharacteristic
976C22×C61C2×H(5,𝔽2)11yescharacteristic
977C2×D61—22no—
978C2×D61—22no—
979C2×D61—22no—
980C2×D61—22no—
981C2×D61—22no—
982C2×D61—22no—
983C2×D61—232no—
984C2×D61—22no—
985C2×D61—22no—
986C2×D61—22no—
987C2×D61—22no—
988C2×D61—22no—
989C2×D61—22no—
990C2×D61—22no—
991C2×D61—22no—
992C2×D61—22no—
993C2×D61—416no—
994C2×D61—416no—
995C2×D61—416no—
996C2×D61—41no—
997C2×D61—41no—
998C2×D61—41no—
999C2×D61—41no—
1000C2×D61—41no—
1001C2×D61—41no—
1002C2×D61—41no—
1003C2×D61—41no—
1004C2×D61—41no—
1005C2×D61—41no—
1006C2×D61—41no—
1007C2×D61—41no—
1008C2×D61—416no—
1009C2×D61—416no—
1010C2×D61—416no—
1011C2×D61C2×#12314yes—
1012C2×D61C2×#12314yescomplemented
1013C2×D61#52514yes—
1014C2×D61#53814yes—
1015C2×D61D4214yes—
1016C2×D61#54614yes—
1017C2×D61#54614yes—
1018C2×D61#55114yes—
1019C4×C61—22no—
1020C4×C61—22no—
1021C4×C61—22no—
1022C4×C61—41no—
1023C4×C61—41no—
1024C4×C61—41no—
1025C4×C61—41no—
1026C4×C61—41no—
1027C4×C61—41no—
1028C4×C61—41no—
1029C4×C61—41no—
1030Dic61—22no—
1031Dic61—22no—
1032Dic61—22no—
1033Dic61—41no—
1034Dic61—41no—
1035Dic61—41no—
1036Dic61—41no—
1037Dic61—41no—
1038Dic61—41no—
1039Dic61—41no—
1040Dic61—41no—
1041C22×#123—611no—
1042C22×#120—611no—
1043C22×C4×D4—611no—
1044C23×C22⋊C4—611no—
1045#2418—611no—
1046#2418—611no—
1047#2418—611no—
1048#2418—611no—
1049#2418—611no—
1050#2418—611no—
1051#2418—611no—
1052#2418—611no—
1053#2418—611no—
1054#2418—611no—
1055#2418—611no—
1056#2418—611no—
1057#2418—611no—
1058#2418—611no—
1059#2418—611no—
1060#2418D6111yescharacteristic, direct product factor
1061C2×#399—611no—
1062C2×#397—611no—
1063C2×#394—611no—
1064C2×#394—611no—
1065C2×#388—611no—
1066C2×#388—611no—
1067C2×#386—611no—
1068C2×#386—611no—
1069C2×#385—611no—
1070C2×#380—611no—
1071C2×#379—611no—
1072C2×C61—24no—
1073C2×C61—42no—
1074C2×C61—42no—
1075C2×C61—42no—
1076C2×C61C22×#12311yescharacteristic
1077C2×C61C2×#52511yescharacteristic
1078C2×C61C2×#53811yescharacteristic
1079C2×C61C2×D4211yescharacteristic
1080C2×C61C2×#54611yescharacteristic
1081C2×C61C2×#54611yescharacteristic
1082C2×C61C2×#55111yescharacteristic
1083D61—24no—
1084D61—42no—
1085D61—42no—
1086D61—42no—
1087D61#241818yesdirect product factor
1088C26—611no—
1089C23×D4—611no—
1090C23×D4—611no—
1091C23×D4—611no—
1092C24×C4—611no—
1093C24×C4—611no—
1094C24×C4—611no—
1095C2×#123—611no—
1096C2×#123—611no—
1097C2×#123—611no—
1098C2×#123—611no—
1099C2×#123—611no—
1100C2×#123—611no—
1101C2×#123—611no—
1102C2×#123—1228no—
1103C2×#123C2×D6111yescharacteristic, complemented
1104C2×#120—611no—
1105C2×#120—611no—
1106C2×#120—611no—
1107C2×#120—611no—
1108C2×#120—611no—
1109C2×#120—611no—
1110C2×#120—611no—
1111C2×#120—1228no—
1112C2×#120C2×D6111yescharacteristic
1113C2×C4×D4—611no—
1114C2×C4×D4—611no—
1115C2×C4×D4—611no—
1116C2×C4×D4—611no—
1117C2×C4×D4—611no—
1118C2×C4×D4—611no—
1119C2×C4×D4—611no—
1120C2×C4×D4—1228no—
1121C2×C4×D4C2×D6111yescharacteristic, complemented
1122C22×C4⋊C4—611no—
1123C22×C4⋊C4—611no—
1124C22×C4⋊C4—611no—
1125C22×C4⋊C4—611no—
1126C22×C4⋊C4—611no—
1127C22×C22⋊C4—611no—
1128C22×C22⋊C4—611no—
1129C22×C22⋊C4—611no—
1130C22×C22⋊C4—611no—
1131C22×C22⋊C4—611no—
1132C22×C22⋊C4—611no—
1133C22×C22⋊C4—611no—
1134C22×C22⋊C4—611no—
1135C22×C22⋊C4—611no—
1136C22×C22⋊C4—611no—
1137C22×C22⋊C4—611no—
1138C22×C22⋊C4—611no—
1139C22×C22⋊C4—611no—
1140C22×C22⋊C4—611no—
1141C22×C22⋊C4—611no—
1142C22×C22⋊C4—611no—
1143C22×C22⋊C4—611no—
1144C22×C22⋊C4—611no—
1145C22×C22⋊C4—611no—
1146C22×C22⋊C4—611no—
1147C22×C22⋊C4—611no—
1148C22×C22⋊C4—611no—
1149C22×C22⋊C4—611no—
1150C22×C22⋊C4—1228no—
1151C22×C22⋊C4C2×D6111yescharacteristic, complemented
1152C22×C42—611no—
1153#399—611no—
1154#399—611no—
1155#399—611no—
1156#399—611no—
1157#399—611no—
1158#399—611no—
1159#399—611no—
1160#399C2×D6111yescharacteristic, complemented
1161#397—611no—
1162#397—611no—
1163#397—611no—
1164#397—611no—
1165#397—611no—
1166#397—611no—
1167#397—611no—
1168#397C2×D6111yescharacteristic, complemented
1169#394—611no—
1170#394—611no—
1171#394—611no—
1172#394—611no—
1173#394—611no—
1174#394—611no—
1175#394—611no—
1176#394—611no—
1177#394—611no—
1178#394—611no—
1179#394—611no—
1180#394—611no—
1181#394—611no—
1182#394—611no—
1183#394C2×D6111yescharacteristic, complemented
1184#394C2×D6111yescharacteristic, complemented
1185#388—611no—
1186#388—611no—
1187#388—611no—
1188#388—611no—
1189#388—611no—
1190#388—611no—
1191#388—611no—
1192#388—611no—
1193#388—611no—
1194#388—611no—
1195#388—611no—
1196#388—611no—
1197#388—611no—
1198#388—611no—
1199#388C2×D6111yescharacteristic, complemented
1200#388C2×D6111yescharacteristic, complemented
1201#386—611no—
1202#386—611no—
1203#386—611no—
1204#386—611no—
1205#386—611no—
1206#386—611no—
1207#386—611no—
1208#386—611no—
1209#386—611no—
1210#386—611no—
1211#386—611no—
1212#386—611no—
1213#386—611no—
1214#386—611no—
1215#386C2×D6111yescharacteristic, complemented
1216#386C2×D6111yescharacteristic, complemented
1217#385—611no—
1218#385—611no—
1219#385—611no—
1220#385—611no—
1221#385—611no—
1222#385—611no—
1223#385—611no—
1224#385C2×D6111yescharacteristic, complemented
1225#380—611no—
1226#380—611no—
1227#380—611no—
1228#380—611no—
1229#380—611no—
1230#380—611no—
1231#380—611no—
1232#380C2×D6111yescharacteristic, complemented
1233#379—611no—
1234#379—611no—
1235#379—611no—
1236#379—611no—
1237#379—611no—
1238#379—611no—
1239#379—611no—
1240#379C2×D6111yescharacteristic, complemented
1241C2×#95—611no—
1242C2×#95—611no—
1243C2×#95—611no—
1244C2×#95—611no—
1245C2×#95—611no—
1246C2×#95—611no—
1247C61C2×#241811yescharacteristic, complemented, Sylow
1248C25—611no—
1249C25—611no—
1250C25—611no—
1251C25—611no—
1252C25—611no—
1253C25—611no—
1254C25—611no—
1255C25—1224no—
1256C25—1224no—
1257C25—1224no—
1258C25—1224no—
1259C25—1224no—
1260C25—2442no—
1261C25—2442no—
1262C25C22×D6111yescharacteristic
1263C22×D4—611no—
1264C22×D4—611no—
1265C22×D4—618no—
1266C22×D4—611no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—611no—
1273C22×D4—1224no—
1274C22×D4—1224no—
1275C22×D4—1224no—
1276C22×D4—1224no—
1277C22×D4—1224no—
1278C22×D4—1224no—
1279C22×D4—2442no—
1280C22×D4—2442no—
1281C22×D4C22×D6111yescharacteristic
1282C22×D4C22×D6111yescharacteristic
1283C22×D4C22×D6111yescharacteristic
1284C23×C4—611no—
1285C23×C4—611no—
1286C23×C4—611no—
1287C23×C4—611no—
1288C23×C4—611no—
1289C23×C4—611no—
1290C23×C4—611no—
1291C23×C4—611no—
1292C23×C4—611no—
1293C23×C4—611no—
1294C23×C4—611no—
1295C23×C4—611no—
1296C23×C4—611no—
1297C23×C4—611no—
1298C23×C4—611no—
1299C23×C4—611no—
1300C23×C4—611no—
1301C23×C4—611no—
1302C23×C4—611no—
1303C23×C4—611no—
1304C23×C4—1224no—
1305C23×C4—1224no—
1306C23×C4—1224no—
1307C23×C4—1224no—
1308C23×C4—1224no—
1309C23×C4—1224no—
1310C23×C4—2442no—
1311C23×C4—2442no—
1312C23×C4—2442no—
1313C23×C4C22×D6111yescharacteristic
1314C23×C4C22×D6111yescharacteristic
1315C23×C4C22×D6111yescharacteristic, complemented
1316#123—24no—
1317#123—1224no—
1318#123—1224no—
1319#123—1224no—
1320#123—1224no—
1321#123—1224no—
1322#123—1224no—
1323#123—1224no—
1324#120—24no—
1325#120—1224no—
1326#120—1224no—
1327#120—1224no—
1328#120—1224no—
1329#120—1224no—
1330#120—1224no—
1331#120—1224no—
1332C4×D4—24no—
1333C4×D4—1224no—
1334C4×D4—1224no—
1335C4×D4—1224no—
1336C4×D4—1224no—
1337C4×D4—1224no—
1338C4×D4—1224no—
1339C4×D4—1224no—
1340C2×C4⋊C4—611no—
1341C2×C4⋊C4—611no—
1342C2×C4⋊C4—611no—
1343C2×C4⋊C4—611no—
1344C2×C4⋊C4—611no—
1345C2×C4⋊C4—611no—
1346C2×C4⋊C4—611no—
1347C2×C4⋊C4—611no—
1348C2×C4⋊C4—611no—
1349C2×C4⋊C4—611no—
1350C2×C4⋊C4—611no—
1351C2×C4⋊C4—611no—
1352C2×C4⋊C4—611no—
1353C2×C4⋊C4—611no—
1354C2×C4⋊C4—611no—
1355C2×C4⋊C4—1224no—
1356C2×C4⋊C4—1224no—
1357C2×C4⋊C4—1224no—
1358C2×C4⋊C4—2442no—
1359C2×C4⋊C4—2442no—
1360C2×C4⋊C4C22×D6111yescharacteristic, complemented
1361C2×C4⋊C4C22×D6111yescharacteristic, complemented
1362C2×C4⋊C4C22×D6111yescharacteristic, complemented
1363C2×C4⋊C4C22×D6111yescharacteristic, complemented
1364C2×C4⋊C4C22×D6111yescharacteristic, complemented
1365C2×C22⋊C4—24no—
1366C2×C22⋊C4—611no—
1367C2×C22⋊C4—611no—
1368C2×C22⋊C4—611no—
1369C2×C22⋊C4—618no—
1370C2×C22⋊C4—611no—
1371C2×C22⋊C4—611no—
1372C2×C22⋊C4—611no—
1373C2×C22⋊C4—611no—
1374C2×C22⋊C4—611no—
1375C2×C22⋊C4—611no—
1376C2×C22⋊C4—611no—
1377C2×C22⋊C4—611no—
1378C2×C22⋊C4—611no—
1379C2×C22⋊C4—611no—
1380C2×C22⋊C4—611no—
1381C2×C22⋊C4—611no—
1382C2×C22⋊C4—611no—
1383C2×C22⋊C4—611no—
1384C2×C22⋊C4—611no—
1385C2×C22⋊C4—611no—
1386C2×C22⋊C4—611no—
1387C2×C22⋊C4—611no—
1388C2×C22⋊C4—611no—
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—611no—
1392C2×C22⋊C4—611no—
1393C2×C22⋊C4—611no—
1394C2×C22⋊C4—611no—
1395C2×C22⋊C4—611no—
1396C2×C22⋊C4—611no—
1397C2×C22⋊C4—611no—
1398C2×C22⋊C4—611no—
1399C2×C22⋊C4—611no—
1400C2×C22⋊C4—611no—
1401C2×C22⋊C4—611no—
1402C2×C22⋊C4—611no—
1403C2×C22⋊C4—611no—
1404C2×C22⋊C4—611no—
1405C2×C22⋊C4—611no—
1406C2×C22⋊C4—611no—
1407C2×C22⋊C4—611no—
1408C2×C22⋊C4—611no—
1409C2×C22⋊C4—611no—
1410C2×C22⋊C4—611no—
1411C2×C22⋊C4—611no—
1412C2×C22⋊C4—611no—
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—1224no—
1416C2×C22⋊C4—1224no—
1417C2×C22⋊C4—1224no—
1418C2×C22⋊C4—1224no—
1419C2×C22⋊C4—1224no—
1420C2×C22⋊C4—1224no—
1421C2×C22⋊C4—1224no—
1422C2×C22⋊C4—1224no—
1423C2×C22⋊C4—1224no—
1424C2×C22⋊C4—1224no—
1425C2×C22⋊C4—1224no—
1426C2×C22⋊C4—1224no—
1427C2×C22⋊C4—1224no—
1428C2×C22⋊C4—1224no—
1429C2×C22⋊C4—1224no—
1430C2×C22⋊C4—1224no—
1431C2×C22⋊C4—1224no—
1432C2×C22⋊C4—1224no—
1433C2×C22⋊C4—1224no—
1434C2×C22⋊C4—2442no—
1435C2×C22⋊C4—2442no—
1436C2×C22⋊C4—2442no—
1437C2×C22⋊C4C22×D6111yescharacteristic
1438C2×C22⋊C4C22×D6111yescharacteristic
1439C2×C22⋊C4C22×D6111yescharacteristic
1440C2×C22⋊C4C22×D6111yescharacteristic
1441C2×C22⋊C4C22×D6111yescharacteristic
1442C2×C22⋊C4C22×D6111yescharacteristic
1443C2×C22⋊C4C22×D6111yescharacteristic
1444C2×C22⋊C4C22×D6111yescharacteristic
1445C2×C22⋊C4C22×D6111yescharacteristic
1446C2×C22⋊C4C22×D6111yescharacteristic
1447C2×C22⋊C4C22×D6111yescharacteristic
1448C2×C22⋊C4C22×D6111yescharacteristic
1449C2×C22⋊C4C22×D6111yescharacteristic
1450C2×C22⋊C4C22×D6111yescharacteristic, complemented
1451C2×C22⋊C4C22×D6111yescharacteristic, complemented
1452C2×C22⋊C4C22×D6111yescharacteristic, complemented
1453C2×C42—611no—
1454C2×C42—611no—
1455C2×C42—611no—
1456C2×C42—1224no—
1457C2×C42C22×D6111yescharacteristic, complemented
1458#95—611no—
1459#95—611no—
1460#95—611no—
1461#95—611no—
1462#95—611no—
1463#95—611no—
1464#95—611no—
1465#95—611no—
1466#95—611no—
1467#95—611no—
1468#95—611no—
1469#95—611no—
1470#95—611no—
1471#95—611no—
1472#95—611no—
1473#95—611no—
1474#95—611no—
1475#95—611no—
1476#95C22×D6111yescharacteristic, complemented
1477#95C22×D6111yescharacteristic, complemented
1478#95C22×D6111yescharacteristic, complemented
1479#95C22×D6111yescharacteristic, complemented
1480#95C22×D6111yescharacteristic, complemented
1481#95C22×D6111yescharacteristic, complemented
1482C24—22no—
1483C24—22no—
1484C24—22no—
1485C24—22no—
1486C24—22no—
1487C24—41no—
1488C24—41no—
1489C24—611no—
1490C24—614no—
1491C24—614no—
1492C24—614no—
1493C24—611no—
1494C24—614no—
1495C24—614no—
1496C24—614no—
1497C24—611no—
1498C24—611no—
1499C24—611no—
1500C24—1222no—
1501C24—1222no—
1502C24—1222no—
1503C24—1222no—
1504C24—1222no—
1505C24—1222no—
1506C24—1222no—
1507C24—1222no—
1508C24—1222no—
1509C24—1222no—
1510C24—1222no—
1511C24—1222no—
1512C24—1222no—
1513C24—1222no—
1514C24—1222no—
1515C24—1222no—
1516C24—1222no—
1517C24—1222no—
1518C24—1222no—
1519C24—1222no—
1520C24—1222no—
1521C24—1222no—
1522C24—1222no—
1523C24—1222no—
1524C24—1222no—
1525C24—1222no—
1526C24—1222no—
1527C24—1222no—
1528C24—1222no—
1529C24—1222no—
1530C24—1222no—
1531C24—1222no—
1532C24—12232no—
1533C24—1222no—
1534C24—1222no—
1535C24—1222no—
1536C24—1222no—
1537C24—1222no—
1538C24—2441no—
1539C24—2441no—
1540C24—2441no—
1541C24—2441no—
1542C24—2441no—
1543C24—2441no—
1544C24—24416no—
1545C24—24416no—
1546C24—24416no—
1547C24—24416no—
1548C24—24416no—
1549C24—24416no—
1550C24C23×D6111yescharacteristic
1551C24C23×D6111yescharacteristic
1552C24C23×D6111yescharacteristic
1553C24C23×D6111yescharacteristic
1554C2×D4—22no—
1555C2×D4—22no—
1556C2×D4—22no—
1557C2×D4—22no—
1558C2×D4—22no—
1559C2×D4—22no—
1560C2×D4—41no—
1561C2×D4—41no—
1562C2×D4—614no—
1563C2×D4—614no—
1564C2×D4—614no—
1565C2×D4—1222no—
1566C2×D4—1222no—
1567C2×D4—1222no—
1568C2×D4—1222no—
1569C2×D4—1222no—
1570C2×D4—1222no—
1571C2×D4—12232no—
1572C2×D4—1222no—
1573C2×D4—1222no—
1574C2×D4—1222no—
1575C2×D4—1222no—
1576C2×D4—1222no—
1577C2×D4—1222no—
1578C2×D4—1222no—
1579C2×D4—1222no—
1580C2×D4—1222no—
1581C2×D4—1222no—
1582C2×D4—1222no—
1583C2×D4—1222no—
1584C2×D4—2441no—
1585C2×D4—2441no—
1586C2×D4—2441no—
1587C2×D4—2441no—
1588C2×D4—2441no—
1589C2×D4—2441no—
1590C2×D4—24416no—
1591C2×D4—24416no—
1592C2×D4D4×D6114yes—
1593C22×C4—22no—
1594C22×C4—22no—
1595C22×C4—22no—
1596C22×C4—22no—
1597C22×C4—22no—
1598C22×C4—22no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—611no—
1603C22×C4—611no—
1604C22×C4—611no—
1605C22×C4—614no—
1606C22×C4—614no—
1607C22×C4—614no—
1608C22×C4—611no—
1609C22×C4—611no—
1610C22×C4—611no—
1611C22×C4—611no—
1612C22×C4—611no—
1613C22×C4—611no—
1614C22×C4—611no—
1615C22×C4—611no—
1616C22×C4—1222no—
1617C22×C4—1222no—
1618C22×C4—1222no—
1619C22×C4—1222no—
1620C22×C4—1222no—
1621C22×C4—1222no—
1622C22×C4—1222no—
1623C22×C4—1222no—
1624C22×C4—1222no—
1625C22×C4—1222no—
1626C22×C4—1222no—
1627C22×C4—1222no—
1628C22×C4—1222no—
1629C22×C4—1222no—
1630C22×C4—1222no—
1631C22×C4—1222no—
1632C22×C4—1222no—
1633C22×C4—1222no—
1634C22×C4—1222no—
1635C22×C4—1222no—
1636C22×C4—1222no—
1637C22×C4—1222no—
1638C22×C4—1222no—
1639C22×C4—1222no—
1640C22×C4—1222no—
1641C22×C4—1222no—
1642C22×C4—1222no—
1643C22×C4—1222no—
1644C22×C4—1222no—
1645C22×C4—1222no—
1646C22×C4—1222no—
1647C22×C4—1222no—
1648C22×C4—1222no—
1649C22×C4—1222no—
1650C22×C4—1222no—
1651C22×C4—1222no—
1652C22×C4—1222no—
1653C22×C4—1222no—
1654C22×C4—1222no—
1655C22×C4—1222no—
1656C22×C4—1222no—
1657C22×C4—1222no—
1658C22×C4—1222no—
1659C22×C4—1222no—
1660C22×C4—1222no—
1661C22×C4—1222no—
1662C22×C4—1222no—
1663C22×C4—1222no—
1664C22×C4—2441no—
1665C22×C4—2441no—
1666C22×C4—2441no—
1667C22×C4—2441no—
1668C22×C4—2441no—
1669C22×C4—2441no—
1670C22×C4—24416no—
1671C22×C4—24416no—
1672C22×C4—24416no—
1673C22×C4—2441no—
1674C22×C4—2441no—
1675C22×C4—2441no—
1676C22×C4C23×D6111yescharacteristic
1677C22×C4C23×D6111yescharacteristic
1678C22×C4C23×D6111yescharacteristic
1679C22×C4C23×D6111yescharacteristic
1680C22×C4C23×D6111yescharacteristic
1681C22×C4C23×D6111yescharacteristic
1682C22×C4C23×D6111yescharacteristic
1683C22×C4C23×D6111yescharacteristic
1684C22×C4C23×D6111yescharacteristic
1685C22×C4C23×D6111yescharacteristic
1686C22×C4C23×D6111yescharacteristic
1687C4⋊C4—22no—
1688C4⋊C4—22no—
1689C4⋊C4—22no—
1690C4⋊C4—41no—
1691C4⋊C4—41no—
1692C4⋊C4—1222no—
1693C4⋊C4—1222no—
1694C4⋊C4—1222no—
1695C4⋊C4—1222no—
1696C4⋊C4—1222no—
1697C4⋊C4—1222no—
1698C4⋊C4—1222no—
1699C4⋊C4—1222no—
1700C4⋊C4—1222no—
1701C4⋊C4—2441no—
1702C4⋊C4—2441no—
1703C4⋊C4—2441no—
1704C4⋊C4—2441no—
1705C4⋊C4—2441no—
1706C4⋊C4—2441no—
1707C22⋊C4—22no—
1708C22⋊C4—22no—
1709C22⋊C4—22no—
1710C22⋊C4—22no—
1711C22⋊C4—22no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—22no—
1716C22⋊C4—22no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—41no—
1722C22⋊C4—614no—
1723C22⋊C4—614no—
1724C22⋊C4—614no—
1725C22⋊C4—1222no—
1726C22⋊C4—1222no—
1727C22⋊C4—1222no—
1728C22⋊C4—1222no—
1729C22⋊C4—1222no—
1730C22⋊C4—1222no—
1731C22⋊C4—1222no—
1732C22⋊C4—1222no—
1733C22⋊C4—1222no—
1734C22⋊C4—1222no—
1735C22⋊C4—1222no—
1736C22⋊C4—1222no—
1737C22⋊C4—1222no—
1738C22⋊C4—1222no—
1739C22⋊C4—1222no—
1740C22⋊C4—1222no—
1741C22⋊C4—1222no—
1742C22⋊C4—1222no—
1743C22⋊C4—1222no—
1744C22⋊C4—1222no—
1745C22⋊C4—1222no—
1746C22⋊C4—1222no—
1747C22⋊C4—1222no—
1748C22⋊C4—1222no—
1749C22⋊C4—1222no—
1750C22⋊C4—1222no—
1751C22⋊C4—1222no—
1752C22⋊C4—1222no—
1753C22⋊C4—1222no—
1754C22⋊C4—1222no—
1755C22⋊C4—1222no—
1756C22⋊C4—1222no—
1757C22⋊C4—1222no—
1758C22⋊C4—1222no—
1759C22⋊C4—1222no—
1760C22⋊C4—1222no—
1761C22⋊C4—2441no—
1762C22⋊C4—2441no—
1763C22⋊C4—2441no—
1764C22⋊C4—2441no—
1765C22⋊C4—2441no—
1766C22⋊C4—2441no—
1767C22⋊C4—2441no—
1768C22⋊C4—2441no—
1769C22⋊C4—2441no—
1770C22⋊C4D4×D6114yescomplemented
1771C42—22no—
1772C42—1222no—
1773C42—1222no—
1774C42—1222no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—28no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—44no—
1799C23—44no—
1800C23—44no—
1801C23—44no—
1802C23—44no—
1803C23—44no—
1804C23—612no—
1805C23—612no—
1806C23—612no—
1807C23—612no—
1808C23—612no—
1809C23—612no—
1810C23—612no—
1811C23—6116no—
1812C23—612no—
1813C23—612no—
1814C23—612no—
1815C23—612no—
1816C23—612no—
1817C23—612no—
1818C23—1228no—
1819C23—1228no—
1820C23—1228no—
1821C23—1228no—
1822C23—1228no—
1823C23—1228no—
1824C23—1228no—
1825C23—1228no—
1826C23—1228no—
1827C23—1228no—
1828C23—1228no—
1829C23—1228no—
1830C23—1228no—
1831C23—1228no—
1832C23—1228no—
1833C23—1228no—
1834C23—1228no—
1835C23—1228no—
1836C23—1221no—
1837C23—1221no—
1838C23—1221no—
1839C23—1221no—
1840C23—1221no—
1841C23—1221no—
1842C23—1221no—
1843C23—1221no—
1844C23—1221no—
1845C23—1221no—
1846C23—1221no—
1847C23—1221no—
1848C23—1221no—
1849C23—1221no—
1850C23—1221no—
1851C23—1221no—
1852C23—1221no—
1853C23—1221no—
1854C23—1221no—
1855C23—1221no—
1856C23—1221no—
1857C23—1221no—
1858C23—2444no—
1859C23—2444no—
1860C23—2444no—
1861C23—2444no—
1862C23—2444no—
1863C23—2444no—
1864C23—2444no—
1865C23—2444no—
1866C23—2444no—
1867C23—2444no—
1868C23—2444no—
1869C23—2444no—
1870C23—2444no—
1871C23—2444no—
1872C23—2444no—
1873C23—2444no—
1874C23—2444no—
1875C23—2444no—
1876C23—2444no—
1877C23—2444no—
1878C23—2444no—
1879C23—2444no—
1880C23—2444no—
1881C23—2444no—
1882C23—2444no—
1883C23—2444no—
1884C23—2444no—
1885C23—244128no—
1886C23—2444no—
1887C23—2444no—
1888C23—2444no—
1889C23C2×D4×D6112yes—
1890C23C2×D4×D6112yes—
1891C23C2×D4×D6112yes—
1892C23#41×D6112yes—
1893C23#41×D6112yes—
1894C23#41×D6112yes—
1895C23C24×D6111yescharacteristic
1896D4—28no—
1897D4—44no—
1898D4—44no—
1899D4—1228no—
1900D4—1228no—
1901D4—1228no—
1902D4—2444no—
1903D4—2444no—
1904D4—2444no—
1905D4—2444no—
1906D4—2444no—
1907D4—2444no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—44no—
1939C2×C4—44no—
1940C2×C4—44no—
1941C2×C4—612no—
1942C2×C4—612no—
1943C2×C4—612no—
1944C2×C4—1228no—
1945C2×C4—1228no—
1946C2×C4—1228no—
1947C2×C4—1221no—
1948C2×C4—1221no—
1949C2×C4—1221no—
1950C2×C4—1221no—
1951C2×C4—1221no—
1952C2×C4—1221no—
1953C2×C4—1221no—
1954C2×C4—1221no—
1955C2×C4—1221no—
1956C2×C4—1221no—
1957C2×C4—1221no—
1958C2×C4—1221no—
1959C2×C4—1221no—
1960C2×C4—1221no—
1961C2×C4—1221no—
1962C2×C4—1221no—
1963C2×C4—1221no—
1964C2×C4—1221no—
1965C2×C4—1221no—
1966C2×C4—1221no—
1967C2×C4—1221no—
1968C2×C4—1221no—
1969C2×C4—1221no—
1970C2×C4—1221no—
1971C2×C4—1221no—
1972C2×C4—1221no—
1973C2×C4—1221no—
1974C2×C4—1221no—
1975C2×C4—1221no—
1976C2×C4—1221no—
1977C2×C4—2444no—
1978C2×C4—2444no—
1979C2×C4—2444no—
1980C2×C4—2444no—
1981C2×C4—2444no—
1982C2×C4—2444no—
1983C2×C4—2444no—
1984C2×C4—2444no—
1985C2×C4—2444no—
1986C2×C4—2444no—
1987C2×C4—2444no—
1988C2×C4—2444no—
1989C2×C4—2444no—
1990C2×C4—2444no—
1991C2×C4—2444no—
1992C2×C4—2444no—
1993C2×C4—2444no—
1994C2×C4C2×D4×D6112yes—
1995C2×C4C2×D4×D6112yes—
1996C2×C4C2×D4×D6112yes—
1997C22—22no—
1998C22—22no—
1999C22—22no—
2000C22—22no—
2001C22—22no—
2002C22—22no—
2003C22—22no—
2004C22—22no—
2005C22—22no—
2006C22—22no—
2007C22—22no—
2008C22—22no—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—416no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—614no—
2026C22—614no—
2027C22—614no—
2028C22—614no—
2029C22—614no—
2030C22—614no—
2031C22—614no—
2032C22—614no—
2033C22—12232no—
2034C22—1222no—
2035C22—1222no—
2036C22—1222no—
2037C22—1222no—
2038C22—1222no—
2039C22—1222no—
2040C22—1222no—
2041C22—1222no—
2042C22—1222no—
2043C22—1222no—
2044C22—1222no—
2045C22—1222no—
2046C22—1222no—
2047C22—1222no—
2048C22—1222no—
2049C22—24416no—
2050C22—24416no—
2051C22—24416no—
2052C22—24416no—
2053C22—24416no—
2054C22—24416no—
2055C22—2441no—
2056C22—2441no—
2057C22—2441no—
2058C22—2441no—
2059C22—2441no—
2060C22—2441no—
2061C22—2441no—
2062C22—2441no—
2063C22—2441no—
2064C22—2441no—
2065C22—2441no—
2066C22—2441no—
2067C22#123×D6114yescomplemented
2068C22C22×D4×D6111yescharacteristic
2069C22C22×D4×D6111yescharacteristic
2070C22C2×#41×D6111yescharacteristic
2071C22C2×#41×D6111yescharacteristic
2072C22C2×#41×D6111yescharacteristic
2073C22H(5,𝔽2)×D6111yescharacteristic
2074C22H(5,𝔽2)×D6111yescharacteristic
2075C4—22no—
2076C4—22no—
2077C4—22no—
2078C4—41no—
2079C4—41no—
2080C4—41no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—41no—
2086C4—1222no—
2087C4—1222no—
2088C4—1222no—
2089C4—2441no—
2090C4—2441no—
2091C4—2441no—
2092C4—2441no—
2093C4—2441no—
2094C4—2441no—
2095C4—2441no—
2096C4—2441no—
2097C2—24no—
2098C2—42no—
2099C2—42no—
2100C2—42no—
2101C2—618no—
2102C2—1224no—
2103C2—2442no—
2104C2—2442no—
2105C2—2442no—
2106C2C2×#123×D6111yescharacteristic
2107C2#525×D6111yescharacteristic
2108C2#538×D6111yescharacteristic
2109C2D42×D6111yescharacteristic
2110C2#546×D6111yescharacteristic
2111C2#546×D6111yescharacteristic
2112C2#551×D6111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2418C2
prime radicalC2×#120×D61C2
hypercenter#2418D61
hypocenterC61C2×#2418
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#123×D61C2semidirect
3. C2×C4×D4×D61C2semidirect
4. C22×C22⋊C4×D61C2semidirect
5. #21449288C2semidirect
6. #21449287C2semidirect
7. #21449286C2semidirect
8. #21449285C2semidirect
9. #21449284C2semidirect
10. #21449283C2semidirect
11. #21449282C2semidirect
12. #21449281C2semidirect
13. #21449280C2semidirect
14. #21449279C2semidirect
15. #21449278C2semidirect
16. #21449277C2semidirect
17. #21449276C2semidirect
18. #21449275C2semidirect
19. #21449274C2semidirect
20. #399×D61C2semidirect
21. #397×D61C2semidirect
22. #394×D61C2semidirect
23. #394×D61C2semidirect
24. #388×D61C2semidirect
25. #388×D61C2semidirect
26. #386×D61C2semidirect
27. #386×D61C2semidirect
28. #385×D61C2semidirect
29. #380×D61C2semidirect
30. #379×D61C2semidirect
31. C61×#2418C2semidirect
38. C23×C4×D61C22semidirect
39. C2×#14519762C22semidirect
40. C2×#14519762C22semidirect
41. C2×#14519761C22semidirect
42. C2×#14519760C22semidirect
43. C2×#14519759C22semidirect
44. C2×#14519759C22semidirect
45. C2×#14519758C22semidirect
55. C2×C4×D244C22semidirect
56. C2×D4×Dic61C22semidirect
57. C2×#14519739C22semidirect
58. C2×C4×C22⋊D61C22semidirect
59. C2×C4×C22⋊D61C22semidirect
60. C2×#14519737C22semidirect
61. C2×#14519737C22semidirect
63. C2×C4⋊C4×D61C22semidirect
64. C2×C4⋊C4×D61C22semidirect
65. C2×C4⋊C4×D61C22semidirect
66. C2×C4⋊C4×D61C22semidirect
67. C2×C4⋊C4×D61C22semidirect
68. C22×C22⋊Dic61C22semidirect
69. C22×#11758198C22semidirect
70. C22×#11758198C22semidirect
85. C2×C22⋊C4×D61C22semidirect
86. C2×C22⋊C4×D61C22semidirect
87. C2×C22⋊C4×D61C22semidirect
88. C2×C22⋊C4×D61C22semidirect
89. C2×C22⋊C4×D61C22semidirect
90. C2×C22⋊C4×D61C22semidirect
91. C2×C22⋊C4×D61C22semidirect
92. C2×C42×D61C22semidirect
93. #16839699C22semidirect
94. #16839698C22semidirect
95. #16839698C22semidirect
96. #16839698C22semidirect
97. #16839697C22semidirect
98. #16839697C22semidirect
99. #16839697C22semidirect
100. #16839691C22semidirect
101. #16839691C22semidirect
102. #16839690C22semidirect
103. #16839690C22semidirect
104. #16839689C22semidirect
105. #16839688C22semidirect
106. #16839687C22semidirect
107. #16839680C22semidirect
108. #16839680C22semidirect
109. #16839679C22semidirect
110. #16839679C22semidirect
111. #16839678C22semidirect
112. #16839678C22semidirect
113. #16839678C22semidirect
114. #16839678C22semidirect
115. #16839677C22semidirect
116. #16839677C22semidirect
117. #16839677C22semidirect
118. #16839677C22semidirect
119. #16839676C22semidirect
120. #16839676C22semidirect
121. #16839656C22semidirect
122. #16839656C22semidirect
123. #16839655C22semidirect
124. #16839655C22semidirect
125. #16839654C22semidirect
126. #16839654C22semidirect
127. #16839653C22semidirect
128. #16839653C22semidirect
129. #16839652C22semidirect
130. #16839652C22semidirect
131. #16839651C22semidirect
132. #16839651C22semidirect
133. #16839650C22semidirect
134. #16839650C22semidirect
135. #16839642C22semidirect
136. #16839642C22semidirect
137. #16839641C22semidirect
138. #16839641C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
143. #16839639C22semidirect
144. #16839639C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839637C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
152. #16839635C22semidirect
153. #16839634C22semidirect
154. #16839633C22semidirect
155. #16839633C22semidirect
156. #16839622C22semidirect
157. #16839621C22semidirect
158. #16839621C22semidirect
159. #16839620C22semidirect
160. #16839620C22semidirect
161. #16839619C22semidirect
162. #16839619C22semidirect
163. #16839618C22semidirect
164. #16839617C22semidirect
165. #16839617C22semidirect
166. #16839617C22semidirect
167. #16839617C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
174. #95×D61C22semidirect
175. #95×D61C22semidirect
176. C2×#123×C61C22semidirect
178. C2×C4×D4×C61C22semidirect
179. C22×C22⋊C4×C61C22semidirect
180. C61×#399C22semidirect
181. C61×#397C22semidirect
182. C61×#394C22semidirect
183. C61×#394C22semidirect
184. C61×#388C22semidirect
185. C61×#388C22semidirect
186. C61×#386C22semidirect
187. C61×#386C22semidirect
188. C61×#385C22semidirect
189. C61×#380C22semidirect
190. C61×#379C22semidirect
225. C23×Dic61C23semidirect
250. C22×C4×D61C23semidirect
251. C22×C4×D61C23semidirect
273. C2×C4⋊Dic61C23semidirect
274. C2×C4⋊Dic61C23semidirect
275. C2×C4⋊Dic61C23semidirect
276. C2×C4⋊Dic61C23semidirect
277. C2×C4⋊Dic61C23semidirect
278. C2×#11758196C23semidirect
279. C2×#11758196C23semidirect
280. C2×#11758196C23semidirect
281. C2×#11758196C23semidirect
282. C2×#11758196C23semidirect
283. C2×#11758196C23semidirect
284. C2×#11758196C23semidirect
285. C2×#11758196C23semidirect
286. C2×#11758196C23semidirect
287. C2×#11758196C23semidirect
307. C2×C22⋊Dic61C23semidirect
308. C2×C22⋊Dic61C23semidirect
309. C2×C22⋊Dic61C23semidirect
338. C2×#11758198C23semidirect
339. C2×#11758198C23semidirect
340. C2×#11758198C23semidirect
341. C2×#11758198C23semidirect
342. C2×#11758198C23semidirect
343. C2×#11758198C23semidirect
363. C22⋊C4×D61D4semidirect
364. C2×C4×Dic61C23semidirect
365. C2×C4×Dic61C23semidirect
366. C2×C4×Dic61C23semidirect
368. #14519684C23semidirect
369. #14519684C23semidirect
370. #14519684C23semidirect
371. #14519684C23semidirect
372. #14519684C23semidirect
373. #14519684C23semidirect
374. #14519684C23semidirect
375. #14519684C23semidirect
376. #14519684C23semidirect
377. #14519684C23semidirect
378. #14519684C23semidirect
379. #14519684C23semidirect
380. #14519684C23semidirect
381. #14519684C23semidirect
382. #14519684C23semidirect
383. #14519684C23semidirect
384. #14519684C23semidirect
385. #14519684C23semidirect
392. C23×C4×C61C23semidirect
396. C2×C4⋊C4×C61C23semidirect
397. C2×C4⋊C4×C61C23semidirect
398. C2×C4⋊C4×C61C23semidirect
399. C2×C4⋊C4×C61C23semidirect
400. C2×C4⋊C4×C61C23semidirect
415. C2×C22⋊C4×C61C23semidirect
416. C2×C22⋊C4×C61C23semidirect
417. C2×C22⋊C4×C61C23semidirect
418. C2×C42×C61C23semidirect
419. #95×C61C23semidirect
420. #95×C61C23semidirect
421. #95×C61C23semidirect
422. #95×C61C23semidirect
423. #95×C61C23semidirect
424. #95×C61C23semidirect
650. C22⋊C4×C61C2×D4semidirect
667. C22⋊Dic61C2×D4semidirect
698. #11758198C2×D4semidirect
699. #11758198C2×D4semidirect
825. C22×D61#123semidirect
969. C22×C61C2×#123semidirect
1012. C2×D61C2×#123semidirect
1060. #2418D61direct (N × H)
1087. D61#2418direct (N × H)
1103. C2×#123C2×D61semidirect
1121. C2×C4×D4C2×D61semidirect
1151. C22×C22⋊C4C2×D61semidirect
1160. #399C2×D61semidirect
1168. #397C2×D61semidirect
1183. #394C2×D61semidirect
1184. #394C2×D61semidirect
1199. #388C2×D61semidirect
1200. #388C2×D61semidirect
1215. #386C2×D61semidirect
1216. #386C2×D61semidirect
1224. #385C2×D61semidirect
1232. #380C2×D61semidirect
1240. #379C2×D61semidirect
1247. C61C2×#2418semidirect
1315. C23×C4C22×D61semidirect
1360. C2×C4⋊C4C22×D61semidirect
1361. C2×C4⋊C4C22×D61semidirect
1362. C2×C4⋊C4C22×D61semidirect
1363. C2×C4⋊C4C22×D61semidirect
1364. C2×C4⋊C4C22×D61semidirect
1450. C2×C22⋊C4C22×D61semidirect
1451. C2×C22⋊C4C22×D61semidirect
1452. C2×C22⋊C4C22×D61semidirect
1457. C2×C42C22×D61semidirect
1476. #95C22×D61semidirect
1477. #95C22×D61semidirect
1478. #95C22×D61semidirect
1479. #95C22×D61semidirect
1480. #95C22×D61semidirect
1481. #95C22×D61semidirect
1770. C22⋊C4D4×D61semidirect
2067. C22#123×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D612
C2×#120×D612
C2×C4×D4×D612
C22×C22⋊C4×D612
#214492882
#214492872
#214492862
#214492852
#214492842
#214492832
#214492822
#214492812
#214492802
#214492792
#214492782
#214492772
#214492762
#214492752
#214492742
#399×D612
#397×D612
#394×D612
#388×D612
#386×D612
#385×D612
#380×D612
#379×D612
C61×#24182
C2×#241861