Finite Group Databasebeta

← D61×#2424 #29847475

Subgroups — D61×#2424 #29847475

Order 15616.

5898 conjugacy classes of subgroups.

The subgroup lattice has 2356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D61C211yesmaximal, characteristic, complemented
2C2×#121×D61C211yesmaximal, characteristic, complemented
3C2×#120×D61C211yesmaximal, characteristic, complemented
4C2×#120×D61C211yesmaximal, characteristic, complemented
5C2×C4×D4×D61C211yesmaximal, characteristic, complemented
6C22×C22⋊C4×D61C211yesmaximal, characteristic, complemented
7#21449362C211yesmaximal, characteristic, complemented
8#21449361C211yesmaximal, characteristic, complemented
9#21449360C211yesmaximal, characteristic, complemented
10#21449359C211yesmaximal, characteristic, complemented
11#21449358C211yesmaximal, characteristic, complemented
12#21449357C211yesmaximal, characteristic, complemented
13#21449356C211yesmaximal, characteristic, complemented
14#21449355C211yesmaximal, characteristic, complemented
15#21449354C211yesmaximal, characteristic, complemented
16#21449353C211yesmaximal, characteristic, complemented
17#21449352C211yesmaximal, characteristic, complemented
18#21449351C211yesmaximal, characteristic, complemented
19#21449350C211yesmaximal, characteristic, complemented
20#21449349C211yesmaximal, characteristic, complemented
21#21449348C211yesmaximal, characteristic, complemented
22#396×D61C211yesmaximal, characteristic, complemented
23#394×D61C211yesmaximal, characteristic, complemented
24#394×D61C211yesmaximal, characteristic, complemented
25#392×D61C211yesmaximal, characteristic, complemented
26#390×D61C211yesmaximal, characteristic, complemented
27#388×D61C211yesmaximal, characteristic, complemented
28#386×D61C211yesmaximal, characteristic, complemented
29#386×D61C211yesmaximal, characteristic, complemented
30#385×D61C211yesmaximal, characteristic, complemented
31C61×#2424C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36C22×D4×D61C2211yescharacteristic
37C22×D4×D61C2211yescharacteristic
38C22×D4×D61C2211yescharacteristic
39C22×D4×D61C2211yescharacteristic, complemented
40C23×C4×D61C2211yescharacteristic
41C23×C4×D61C2211yescharacteristic
42C23×C4×D61C2211yescharacteristic, complemented
43C2×#14519752C2211yescharacteristic, complemented
44C2×#14519752C2211yescharacteristic, complemented
45C2×#14519751C2211yescharacteristic, complemented
46C2×#14519751C2211yescharacteristic, complemented
47C2×#14519750C2211yescharacteristic, complemented
48C2×#14519750C2211yescharacteristic, complemented
49C2×#14519750C2211yescharacteristic, complemented
50C2×#14519750C2211yescharacteristic, complemented
51C2×#14519749C2211yescharacteristic, complemented
52C2×#14519749C2211yescharacteristic, complemented
53C2×#14519749C2211yescharacteristic, complemented
54C2×#14519749C2211yescharacteristic, complemented
55C2×#14519748C2211yescharacteristic, complemented
56C2×#14519748C2211yescharacteristic, complemented
57#121×D61—28no—
58#121×D61—28no—
59C2×#14519747C2211yescharacteristic, complemented
60C2×#14519747C2211yescharacteristic, complemented
61C2×#14519747C2211yescharacteristic, complemented
62C2×#14519747C2211yescharacteristic, complemented
63C2×#14519747C2211yescharacteristic, complemented
64C2×#14519747C2211yescharacteristic, complemented
65C2×#14519746C2211yescharacteristic, complemented
66C2×#14519746C2211yescharacteristic, complemented
67C2×#14519745C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic, complemented
69C2×#14519745C2211yescharacteristic, complemented
70C2×#14519745C2211yescharacteristic, complemented
71C2×#14519745C2211yescharacteristic, complemented
72C2×#14519745C2211yescharacteristic, complemented
73#120×D61—28no—
74#120×D61—28no—
75C2×C4×D244C2211yescharacteristic, complemented
76C2×D4×Dic61C2211yescharacteristic, complemented
77C2×#14519739C2211yescharacteristic, complemented
78C2×C4×C22⋊D61C2211yescharacteristic, complemented
79C2×C4×C22⋊D61C2211yescharacteristic, complemented
80C2×#14519737C2211yescharacteristic, complemented
81C2×#14519737C2211yescharacteristic, complemented
82C4×D4×D61—28no—
83C2×C4⋊C4×D61C2211yescharacteristic, complemented
84C2×C4⋊C4×D61C2211yescharacteristic, complemented
85C2×C4⋊C4×D61C2211yescharacteristic, complemented
86C2×C4⋊C4×D61C2211yescharacteristic, complemented
87C22×C22⋊Dic61C2211yescharacteristic, complemented
88C22×#11758198C2211yescharacteristic, complemented
89C22×#11758198C2211yescharacteristic, complemented
90C2×C22⋊C4×D61—28no—
91C2×C22⋊C4×D61C2211yescharacteristic
92C2×C22⋊C4×D61C2211yescharacteristic
93C2×C22⋊C4×D61C2211yescharacteristic
94C2×C22⋊C4×D61C2211yescharacteristic
95C2×C22⋊C4×D61C2211yescharacteristic
96C2×C22⋊C4×D61C2211yescharacteristic
97C2×C22⋊C4×D61C2211yescharacteristic
98C2×C22⋊C4×D61C2211yescharacteristic
99C2×C22⋊C4×D61C2211yescharacteristic
100C2×C22⋊C4×D61C2211yescharacteristic
101C2×C22⋊C4×D61C2211yescharacteristic, complemented
102C2×C22⋊C4×D61C2211yescharacteristic, complemented
103C2×C22⋊C4×D61C2211yescharacteristic, complemented
104C2×C22⋊C4×D61C2211yescharacteristic, complemented
105C2×C22⋊C4×D61C2211yescharacteristic, complemented
106C2×C22⋊C4×D61C2211yescharacteristic, complemented
107C2×C22⋊C4×D61C2211yescharacteristic, complemented
108C2×C22⋊C4×D61C2211yescharacteristic, complemented
109C2×C22⋊C4×D61C2211yescharacteristic, complemented
110C2×C42×D61C2211yescharacteristic, complemented
111#16839686C2211yescharacteristic, complemented
112#16839685C2211yescharacteristic, complemented
113#16839685C2211yescharacteristic, complemented
114#16839685C2211yescharacteristic, complemented
115#16839684C2211yescharacteristic, complemented
116#16839684C2211yescharacteristic, complemented
117#16839684C2211yescharacteristic, complemented
118#16839680C2211yescharacteristic, complemented
119#16839680C2211yescharacteristic, complemented
120#16839679C2211yescharacteristic, complemented
121#16839679C2211yescharacteristic, complemented
122#16839678C2211yescharacteristic, complemented
123#16839678C2211yescharacteristic, complemented
124#16839678C2211yescharacteristic, complemented
125#16839678C2211yescharacteristic, complemented
126#16839677C2211yescharacteristic, complemented
127#16839677C2211yescharacteristic, complemented
128#16839677C2211yescharacteristic, complemented
129#16839677C2211yescharacteristic, complemented
130#16839676C2211yescharacteristic, complemented
131#16839676C2211yescharacteristic, complemented
132#16839672C2211yescharacteristic, complemented
133#16839671C2211yescharacteristic, complemented
134#16839671C2211yescharacteristic, complemented
135#16839671C2211yescharacteristic, complemented
136#16839670C2211yescharacteristic, complemented
137#16839670C2211yescharacteristic, complemented
138#16839670C2211yescharacteristic, complemented
139#16839665C2211yescharacteristic, complemented
140#16839664C2211yescharacteristic, complemented
141#16839663C2211yescharacteristic, complemented
142#16839662C2211yescharacteristic, complemented
143#16839662C2211yescharacteristic, complemented
144#16839662C2211yescharacteristic, complemented
145#16839662C2211yescharacteristic, complemented
146#16839656C2211yescharacteristic, complemented
147#16839655C2211yescharacteristic, complemented
148#16839654C2211yescharacteristic, complemented
149#16839653C2211yescharacteristic, complemented
150#16839652C2211yescharacteristic, complemented
151#16839651C2211yescharacteristic, complemented
152#16839650C2211yescharacteristic, complemented
153#16839642C2211yescharacteristic, complemented
154#16839642C2211yescharacteristic, complemented
155#16839641C2211yescharacteristic, complemented
156#16839641C2211yescharacteristic, complemented
157#16839640C2211yescharacteristic, complemented
158#16839640C2211yescharacteristic, complemented
159#16839640C2211yescharacteristic, complemented
160#16839640C2211yescharacteristic, complemented
161#16839639C2211yescharacteristic, complemented
162#16839639C2211yescharacteristic, complemented
163#16839638C2211yescharacteristic, complemented
164#16839638C2211yescharacteristic, complemented
165#16839638C2211yescharacteristic, complemented
166#16839638C2211yescharacteristic, complemented
167#16839637C2211yescharacteristic, complemented
168#16839636C2211yescharacteristic, complemented
169#16839636C2211yescharacteristic, complemented
170#16839635C2211yescharacteristic, complemented
171#16839634C2211yescharacteristic, complemented
172#16839633C2211yescharacteristic, complemented
173#16839633C2211yescharacteristic, complemented
174#95×D61C2211yescharacteristic, complemented
175#95×D61C2211yescharacteristic, complemented
176#95×D61C2211yescharacteristic, complemented
177#95×D61C2211yescharacteristic, complemented
178C2×#121×C61C2211yescharacteristic, complemented
179C2×#121×C61C2211yescharacteristic, complemented
180C2×#120×C61C2211yescharacteristic, complemented
181C2×#120×C61C2211yescharacteristic, complemented
182C2×C4×D4×C61C2211yescharacteristic, complemented
183C22×C22⋊C4×C61C2211yescharacteristic, complemented
184C61×#396C2211yescharacteristic, complemented
185C61×#394C2211yescharacteristic, complemented
186C61×#394C2211yescharacteristic, complemented
187C61×#392C2211yescharacteristic, complemented
188C61×#390C2211yescharacteristic, complemented
189C61×#388C2211yescharacteristic, complemented
190C61×#386C2211yescharacteristic, complemented
191C61×#386C2211yescharacteristic, complemented
192C61×#385C2211yescharacteristic, complemented
193C24×D61—24no—
194C24×D61—24no—
195C24×D61—24no—
196C24×D61—24no—
197C24×D61—24no—
198C24×D61—42no—
199C24×D61—42no—
200C24×D61C2311yescharacteristic
201C24×D61C2311yescharacteristic
202C24×D61C2311yescharacteristic
203C24×D61C2311yescharacteristic
204C24×D61C2311yescharacteristic
205C24×D61C2311yescharacteristic
206C24×D61C2311yescharacteristic
207C24×D61C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C22×D244C2311yescharacteristic
213C22×D244C2311yescharacteristic
214C22×D244C2311yescharacteristic, complemented
215C22×C22⋊D61C2311yescharacteristic
216C22×C22⋊D61C2311yescharacteristic
217C22×C22⋊D61C2311yescharacteristic
218C22×C22⋊D61C2311yescharacteristic
219C22×C22⋊D61C2311yescharacteristic
220C22×C22⋊D61C2311yescharacteristic
221C22×C22⋊D61C2311yescharacteristic
222C22×C22⋊D61C2311yescharacteristic
223C22×C22⋊D61C2311yescharacteristic
224C22×C22⋊D61C2311yescharacteristic
225C22×C22⋊D61C2311yescharacteristic
226C22×C22⋊D61C2311yescharacteristic
227C22×C22⋊D61C2311yescharacteristic, complemented
228C22×C22⋊D61C2311yescharacteristic, complemented
229C2×D4×D61—24no—
230C2×D4×D61—24no—
231C2×D4×D61—24no—
232C2×D4×D61—24no—
233C2×D4×D61—24no—
234C2×D4×D61—24no—
235C2×D4×D61—24no—
236C2×D4×D61—24no—
237C2×D4×D61—24no—
238C2×D4×D61—24no—
239C2×D4×D61—24no—
240C2×D4×D61—24no—
241C2×D4×D61—24no—
242C2×D4×D61—24no—
243C2×D4×D61—24no—
244C2×D4×D61—42no—
245C2×D4×D61—42no—
246C2×D4×D61—42no—
247C2×D4×D61—42no—
248C2×D4×D61—42no—
249C2×D4×D61D418yescomplemented
250C23×Dic61C2311yescharacteristic
251C23×Dic61C2311yescharacteristic
252C23×Dic61C2311yescharacteristic, complemented
253C22×C4×D61—24no—
254C22×C4×D61—24no—
255C22×C4×D61—24no—
256C22×C4×D61—24no—
257C22×C4×D61—24no—
258C22×C4×D61—24no—
259C22×C4×D61—42no—
260C22×C4×D61—42no—
261C22×C4×D61—42no—
262C22×C4×D61C2311yescharacteristic
263C22×C4×D61C2311yescharacteristic
264C22×C4×D61C2311yescharacteristic
265C22×C4×D61C2311yescharacteristic
266C22×C4×D61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270C22×C4×D61C2311yescharacteristic
271C22×C4×D61C2311yescharacteristic
272C22×C4×D61C2311yescharacteristic
273C22×C4×D61C2311yescharacteristic
274C22×C4×D61C2311yescharacteristic
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic, complemented
277C22×C4×D61C2311yescharacteristic, complemented
278#14519752—24no—
279#14519752—24no—
280#14519751—24no—
281#14519751—24no—
282#14519750—24no—
283#14519750—24no—
284#14519750—24no—
285#14519750—24no—
286#14519749—24no—
287#14519749—24no—
288#14519749—24no—
289#14519749—24no—
290#14519748—24no—
291#14519748—24no—
292#14519747—24no—
293#14519747—24no—
294#14519747—24no—
295#14519747—24no—
296#14519747—24no—
297#14519747—24no—
298#14519746—24no—
299#14519746—24no—
300#14519745—24no—
301#14519745—24no—
302#14519745—24no—
303#14519745—24no—
304#14519745—24no—
305#14519745—24no—
306C4×D244—24no—
307D4×Dic61—24no—
308#14519739—24no—
309C4×C22⋊D61—24no—
310C4×C22⋊D61—24no—
311#14519737—24no—
312#14519737—24no—
313C2×C4⋊Dic61C2311yescharacteristic, complemented
314C2×C4⋊Dic61C2311yescharacteristic, complemented
315C2×C4⋊Dic61C2311yescharacteristic, complemented
316C2×C4⋊Dic61C2311yescharacteristic, complemented
317C2×#11758196C2311yescharacteristic, complemented
318C2×#11758196C2311yescharacteristic, complemented
319C2×#11758196C2311yescharacteristic, complemented
320C2×#11758196C2311yescharacteristic, complemented
321C2×#11758196C2311yescharacteristic, complemented
322C2×#11758196C2311yescharacteristic, complemented
323C2×#11758196C2311yescharacteristic, complemented
324C2×#11758196C2311yescharacteristic, complemented
325C4⋊C4×D61—24no—
326C4⋊C4×D61—24no—
327C4⋊C4×D61—24no—
328C4⋊C4×D61—42no—
329C2×C22⋊Dic61—24no—
330C2×C22⋊Dic61C2311yescharacteristic
331C2×C22⋊Dic61C2311yescharacteristic
332C2×C22⋊Dic61C2311yescharacteristic
333C2×C22⋊Dic61C2311yescharacteristic
334C2×C22⋊Dic61C2311yescharacteristic
335C2×C22⋊Dic61C2311yescharacteristic
336C2×C22⋊Dic61C2311yescharacteristic
337C2×C22⋊Dic61C2311yescharacteristic
338C2×C22⋊Dic61C2311yescharacteristic
339C2×C22⋊Dic61C2311yescharacteristic
340C2×C22⋊Dic61C2311yescharacteristic, complemented
341C2×C22⋊Dic61C2311yescharacteristic, complemented
342C2×C22⋊Dic61C2311yescharacteristic, complemented
343C2×C22⋊Dic61C2311yescharacteristic, complemented
344C2×C22⋊Dic61C2311yescharacteristic, complemented
345C2×#11758198—24no—
346C2×#11758198—24no—
347C2×#11758198C2311yescharacteristic
348C2×#11758198C2311yescharacteristic
349C2×#11758198C2311yescharacteristic
350C2×#11758198C2311yescharacteristic
351C2×#11758198C2311yescharacteristic
352C2×#11758198C2311yescharacteristic
353C2×#11758198C2311yescharacteristic
354C2×#11758198C2311yescharacteristic
355C2×#11758198C2311yescharacteristic
356C2×#11758198C2311yescharacteristic
357C2×#11758198C2311yescharacteristic
358C2×#11758198C2311yescharacteristic
359C2×#11758198C2311yescharacteristic
360C2×#11758198C2311yescharacteristic
361C2×#11758198C2311yescharacteristic
362C2×#11758198C2311yescharacteristic
363C2×#11758198C2311yescharacteristic
364C2×#11758198C2311yescharacteristic
365C2×#11758198C2311yescharacteristic
366C2×#11758198C2311yescharacteristic
367C2×#11758198C2311yescharacteristic, complemented
368C2×#11758198C2311yescharacteristic, complemented
369C2×#11758198C2311yescharacteristic, complemented
370C2×#11758198C2311yescharacteristic, complemented
371C2×#11758198C2311yescharacteristic, complemented
372C2×#11758198C2311yescharacteristic, complemented
373C2×#11758198C2311yescharacteristic, complemented
374C2×#11758198C2311yescharacteristic, complemented
375C2×#11758198C2311yescharacteristic, complemented
376C2×#11758198C2311yescharacteristic, complemented
377C22⋊C4×D61—24no—
378C22⋊C4×D61—24no—
379C22⋊C4×D61—24no—
380C22⋊C4×D61—24no—
381C22⋊C4×D61—24no—
382C22⋊C4×D61—24no—
383C22⋊C4×D61—24no—
384C22⋊C4×D61—24no—
385C22⋊C4×D61—24no—
386C22⋊C4×D61—24no—
387C22⋊C4×D61—24no—
388C22⋊C4×D61—24no—
389C22⋊C4×D61—24no—
390C22⋊C4×D61—24no—
391C22⋊C4×D61—24no—
392C22⋊C4×D61—24no—
393C22⋊C4×D61—42no—
394C22⋊C4×D61D418yescomplemented
395C22⋊C4×D61D418yescomplemented
396C2×C4×Dic61C2311yescharacteristic, complemented
397C2×C4×Dic61C2311yescharacteristic, complemented
398C2×C4×Dic61C2311yescharacteristic, complemented
399C42×D61—24no—
400#14519684C2311yescharacteristic, complemented
401#14519684C2311yescharacteristic, complemented
402#14519684C2311yescharacteristic, complemented
403#14519684C2311yescharacteristic, complemented
404#14519684C2311yescharacteristic, complemented
405#14519684C2311yescharacteristic, complemented
406#14519684C2311yescharacteristic, complemented
407#14519684C2311yescharacteristic, complemented
408#14519684C2311yescharacteristic, complemented
409#14519684C2311yescharacteristic, complemented
410#14519684C2311yescharacteristic, complemented
411#14519684C2311yescharacteristic, complemented
412C25×C61C2311yescharacteristic
413C22×D4×C61C2311yescharacteristic
414C22×D4×C61C2311yescharacteristic
415C22×D4×C61C2311yescharacteristic
416C22×D4×C61C2311yescharacteristic
417C22×D4×C61C2311yescharacteristic
418C22×D4×C61C2311yescharacteristic
419C22×D4×C61C2311yescharacteristic, complemented
420C23×C4×C61C2311yescharacteristic
421C23×C4×C61C2311yescharacteristic
422C23×C4×C61C2311yescharacteristic, complemented
423#121×C61—24no—
424#121×C61—24no—
425#120×C61—24no—
426#120×C61—24no—
427C4×D4×C61—24no—
428C2×C4⋊C4×C61C2311yescharacteristic, complemented
429C2×C4⋊C4×C61C2311yescharacteristic, complemented
430C2×C4⋊C4×C61C2311yescharacteristic, complemented
431C2×C4⋊C4×C61C2311yescharacteristic, complemented
432C2×C22⋊C4×C61—24no—
433C2×C22⋊C4×C61C2311yescharacteristic
434C2×C22⋊C4×C61C2311yescharacteristic
435C2×C22⋊C4×C61C2311yescharacteristic
436C2×C22⋊C4×C61C2311yescharacteristic
437C2×C22⋊C4×C61C2311yescharacteristic
438C2×C22⋊C4×C61C2311yescharacteristic
439C2×C22⋊C4×C61C2311yescharacteristic
440C2×C22⋊C4×C61C2311yescharacteristic
441C2×C22⋊C4×C61C2311yescharacteristic
442C2×C22⋊C4×C61C2311yescharacteristic
443C2×C22⋊C4×C61C2311yescharacteristic, complemented
444C2×C22⋊C4×C61C2311yescharacteristic, complemented
445C2×C22⋊C4×C61C2311yescharacteristic, complemented
446C2×C22⋊C4×C61C2311yescharacteristic, complemented
447C2×C22⋊C4×C61C2311yescharacteristic, complemented
448C2×C42×C61C2311yescharacteristic, complemented
449#95×C61C2311yescharacteristic, complemented
450#95×C61C2311yescharacteristic, complemented
451#95×C61C2311yescharacteristic, complemented
452#95×C61C2311yescharacteristic, complemented
453C24×C61—22no—
454C24×C61—22no—
455C24×C61—22no—
456C24×C61—22no—
457C24×C61—22no—
458C24×C61—41no—
459C24×C61—41no—
460C24×C61C2411yescharacteristic
461C24×C61C2411yescharacteristic
462C24×C61C2411yescharacteristic
463C24×C61C2411yescharacteristic
464C24×C61C2411yescharacteristic
465C23×D61—22no—
466C23×D61—22no—
467C23×D61—22no—
468C23×D61—22no—
469C23×D61—232no—
470C23×D61—22no—
471C23×D61—22no—
472C23×D61—22no—
473C23×D61—22no—
474C23×D61—22no—
475C23×D61—22no—
476C23×D61—22no—
477C23×D61—22no—
478C23×D61—22no—
479C23×D61—22no—
480C23×D61—22no—
481C23×D61—22no—
482C23×D61—22no—
483C23×D61—22no—
484C23×D61—22no—
485C23×D61—22no—
486C23×D61—22no—
487C23×D61—22no—
488C23×D61—22no—
489C23×D61—22no—
490C23×D61—22no—
491C23×D61—22no—
492C23×D61—22no—
493C23×D61—22no—
494C23×D61—22no—
495C23×D61—22no—
496C23×D61—22no—
497C23×D61—22no—
498C23×D61—22no—
499C23×D61—22no—
500C23×D61—22no—
501C23×D61—22no—
502C23×D61—22no—
503C23×D61—22no—
504C23×D61—22no—
505C23×D61—22no—
506C23×D61—22no—
507C23×D61—22no—
508C23×D61—22no—
509C23×D61—22no—
510C23×D61—41no—
511C23×D61—41no—
512C23×D61—41no—
513C23×D61—41no—
514C23×D61—41no—
515C23×D61—41no—
516C23×D61—416no—
517C23×D61—416no—
518C23×D61—416no—
519C23×D61—416no—
520C23×D61—416no—
521C23×D61—416no—
522C23×D61C2×D414yes—
523C23×D61C2×D414yes—
524C23×D61C2×D414yes—
525C23×D61C2×D414yes—
526C23×D61#4114yes—
527C23×D61#4114yes—
528C23×D61C2411yescharacteristic
529C23×D61C2411yescharacteristic
530C23×D61C2411yescharacteristic
531C23×D61C2411yescharacteristic
532C23×D61C2411yescharacteristic
533C23×D61C2411yescharacteristic
534C2×D4×C61—22no—
535C2×D4×C61—22no—
536C2×D4×C61—22no—
537C2×D4×C61—22no—
538C2×D4×C61—22no—
539C2×D4×C61—22no—
540C2×D4×C61—22no—
541C2×D4×C61—22no—
542C2×D4×C61—22no—
543C2×D4×C61—22no—
544C2×D4×C61—22no—
545C2×D4×C61—22no—
546C2×D4×C61—22no—
547C2×D4×C61—22no—
548C2×D4×C61—22no—
549C2×D4×C61—41no—
550C2×D4×C61—41no—
551C2×D4×C61—41no—
552C2×D4×C61—41no—
553C2×D4×C61—41no—
554C2×D4×C61C2×D414yescomplemented
555C22×C4×C61—22no—
556C22×C4×C61—22no—
557C22×C4×C61—22no—
558C22×C4×C61—22no—
559C22×C4×C61—22no—
560C22×C4×C61—22no—
561C22×C4×C61—41no—
562C22×C4×C61—41no—
563C22×C4×C61—41no—
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C2×C22⋊D61—22no—
575C2×C22⋊D61—22no—
576C2×C22⋊D61—22no—
577C2×C22⋊D61—22no—
578C2×C22⋊D61—22no—
579C2×C22⋊D61—22no—
580C2×C22⋊D61—22no—
581C2×C22⋊D61—22no—
582C2×C22⋊D61—22no—
583C2×C22⋊D61—22no—
584C2×C22⋊D61—22no—
585C2×C22⋊D61—22no—
586C2×C22⋊D61—22no—
587C2×C22⋊D61—22no—
588C2×C22⋊D61—22no—
589C2×C22⋊D61—22no—
590C2×C22⋊D61—22no—
591C2×C22⋊D61—22no—
592C2×C22⋊D61—22no—
593C2×C22⋊D61—22no—
594C2×C22⋊D61—22no—
595C2×C22⋊D61—22no—
596C2×C22⋊D61—22no—
597C2×C22⋊D61—22no—
598C2×C22⋊D61—22no—
599C2×C22⋊D61—22no—
600C2×C22⋊D61—22no—
601C2×C22⋊D61—22no—
602C2×C22⋊D61—22no—
603C2×C22⋊D61—22no—
604C2×C22⋊D61—41no—
605C2×C22⋊D61—41no—
606C2×C22⋊D61—41no—
607C2×C22⋊D61—41no—
608C2×C22⋊D61—41no—
609C2×C22⋊D61—41no—
610C2×C22⋊D61—41no—
611C2×C22⋊D61—41no—
612C2×C22⋊D61—41no—
613C2×C22⋊D61—41no—
614C2×C22⋊D61C2×D414yescomplemented
615C2×C22⋊D61C2×D414yescomplemented
616C22×Dic61—22no—
617C22×Dic61—22no—
618C22×Dic61—22no—
619C22×Dic61—22no—
620C22×Dic61—22no—
621C22×Dic61—22no—
622C22×Dic61—41no—
623C22×Dic61—41no—
624C22×Dic61—41no—
625C22×Dic61C2411yescharacteristic
626C22×Dic61C2411yescharacteristic
627C22×Dic61C2411yescharacteristic
628C22×Dic61C2411yescharacteristic
629C22×Dic61C2411yescharacteristic
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2411yescharacteristic
634C22×Dic61C2411yescharacteristic
635D4×D61—232no—
636D4×D61—416no—
637D4×D61—416no—
638D4×D61—416no—
639D4×D61—416no—
640D4×D61—416no—
641D4×D61—416no—
642C2×D244—22no—
643C2×D244—22no—
644C2×D244—22no—
645C2×D244—22no—
646C2×D244—22no—
647C2×D244—22no—
648C2×D244—22no—
649C2×D244—22no—
650C2×D244—22no—
651C2×D244—22no—
652C2×D244—22no—
653C2×D244—22no—
654C2×D244—22no—
655C2×D244—22no—
656C2×D244—22no—
657C2×D244—41no—
658C2×D244—41no—
659C2×D244—41no—
660C2×D244—41no—
661C2×D244—41no—
662C2×D244C2×D414yescomplemented
663C2×C4×D61—22no—
664C2×C4×D61—22no—
665C2×C4×D61—22no—
666C2×C4×D61—22no—
667C2×C4×D61—22no—
668C2×C4×D61—22no—
669C2×C4×D61—22no—
670C2×C4×D61—22no—
671C2×C4×D61—22no—
672C2×C4×D61—22no—
673C2×C4×D61—22no—
674C2×C4×D61—22no—
675C2×C4×D61—22no—
676C2×C4×D61—22no—
677C2×C4×D61—22no—
678C2×C4×D61—22no—
679C2×C4×D61—22no—
680C2×C4×D61—22no—
681C2×C4×D61—22no—
682C2×C4×D61—22no—
683C2×C4×D61—22no—
684C2×C4×D61—22no—
685C2×C4×D61—22no—
686C2×C4×D61—22no—
687C2×C4×D61—22no—
688C2×C4×D61—22no—
689C2×C4×D61—22no—
690C2×C4×D61—22no—
691C2×C4×D61—22no—
692C2×C4×D61—22no—
693C2×C4×D61—22no—
694C2×C4×D61—22no—
695C2×C4×D61—22no—
696C2×C4×D61—22no—
697C2×C4×D61—22no—
698C2×C4×D61—22no—
699C2×C4×D61—22no—
700C2×C4×D61—416no—
701C2×C4×D61—416no—
702C2×C4×D61—416no—
703C2×C4×D61—41no—
704C2×C4×D61—41no—
705C2×C4×D61—41no—
706C2×C4×D61—41no—
707C2×C4×D61—41no—
708C2×C4×D61—41no—
709C2×C4×D61C2×D414yes—
710C2×C4×D61C2×D414yes—
711C2×C4×D61C2×D414yes—
712C2×C4×D61C2×D414yes—
713C2×C4×D61C2×D414yes—
714C4⋊C4×C61—22no—
715C4⋊C4×C61—22no—
716C4⋊C4×C61—22no—
717C4⋊C4×C61—41no—
718C22⋊C4×C61—22no—
719C22⋊C4×C61—22no—
720C22⋊C4×C61—22no—
721C22⋊C4×C61—22no—
722C22⋊C4×C61—22no—
723C22⋊C4×C61—22no—
724C22⋊C4×C61—22no—
725C22⋊C4×C61—22no—
726C22⋊C4×C61—22no—
727C22⋊C4×C61—22no—
728C22⋊C4×C61—22no—
729C22⋊C4×C61—22no—
730C22⋊C4×C61—41no—
731C22⋊C4×C61C2×D414yescomplemented
732C22⋊C4×C61C2×D414yescomplemented
733C42×C61—22no—
734C22⋊Dic61—22no—
735C22⋊Dic61—22no—
736C22⋊Dic61—22no—
737C22⋊Dic61—22no—
738C22⋊Dic61—22no—
739C22⋊Dic61—22no—
740C22⋊Dic61—22no—
741C22⋊Dic61—22no—
742C22⋊Dic61—22no—
743C22⋊Dic61—22no—
744C22⋊Dic61—22no—
745C22⋊Dic61—22no—
746C22⋊Dic61—41no—
747C22⋊Dic61C2×D414yescomplemented
748C22⋊Dic61C2×D414yescomplemented
749#11758198—22no—
750#11758198—22no—
751#11758198—22no—
752#11758198—22no—
753#11758198—22no—
754#11758198—22no—
755#11758198—22no—
756#11758198—22no—
757#11758198—22no—
758#11758198—22no—
759#11758198—22no—
760#11758198—22no—
761#11758198—22no—
762#11758198—22no—
763#11758198—22no—
764#11758198—22no—
765#11758198—22no—
766#11758198—22no—
767#11758198—22no—
768#11758198—22no—
769#11758198—22no—
770#11758198—22no—
771#11758198—22no—
772#11758198—22no—
773#11758198—41no—
774#11758198—41no—
775#11758198C2×D414yescomplemented
776#11758198C2×D414yescomplemented
777#11758198C2×D414yescomplemented
778#11758198C2×D414yescomplemented
779C4⋊Dic61—22no—
780C4⋊Dic61—22no—
781C4⋊Dic61—22no—
782C4⋊Dic61—41no—
783#11758196—22no—
784#11758196—22no—
785#11758196—22no—
786#11758196—22no—
787#11758196—22no—
788#11758196—22no—
789#11758196—41no—
790#11758196—41no—
791C4×Dic61—22no—
792C4×Dic61—22no—
793C4×Dic61—22no—
794C23×C61—21no—
795C23×C61—21no—
796C23×C61—21no—
797C23×C61—21no—
798C23×C61—28no—
799C23×C61—21no—
800C23×C61—21no—
801C23×C61—21no—
802C23×C61—21no—
803C23×C61—21no—
804C23×C61—21no—
805C23×C61—21no—
806C23×C61—21no—
807C23×C61—21no—
808C23×C61—21no—
809C23×C61—21no—
810C23×C61—21no—
811C23×C61—21no—
812C23×C61—21no—
813C23×C61—21no—
814C23×C61—21no—
815C23×C61—21no—
816C23×C61—21no—
817C23×C61—21no—
818C23×C61—21no—
819C23×C61—21no—
820C23×C61—21no—
821C23×C61—21no—
822C23×C61—21no—
823C23×C61—21no—
824C23×C61—44no—
825C23×C61—44no—
826C23×C61—44no—
827C23×C61—44no—
828C23×C61—44no—
829C23×C61—44no—
830C23×C61C22×D412yes—
831C23×C61C22×D412yes—
832C23×C61C22×D412yes—
833C23×C61C22×D412yes—
834C23×C61C2×#4112yes—
835C23×C61C2×#4112yes—
836C23×C61C2511yescharacteristic
837C22×D61—21no—
838C22×D61—21no—
839C22×D61—21no—
840C22×D61—21no—
841C22×D61—28no—
842C22×D61—28no—
843C22×D61—28no—
844C22×D61—28no—
845C22×D61—28no—
846C22×D61—28no—
847C22×D61—28no—
848C22×D61—28no—
849C22×D61—28no—
850C22×D61—21no—
851C22×D61—21no—
852C22×D61—21no—
853C22×D61—21no—
854C22×D61—21no—
855C22×D61—21no—
856C22×D61—21no—
857C22×D61—21no—
858C22×D61—21no—
859C22×D61—21no—
860C22×D61—21no—
861C22×D61—21no—
862C22×D61—21no—
863C22×D61—21no—
864C22×D61—21no—
865C22×D61—21no—
866C22×D61—21no—
867C22×D61—21no—
868C22×D61—28no—
869C22×D61—28no—
870C22×D61—28no—
871C22×D61—28no—
872C22×D61—28no—
873C22×D61—28no—
874C22×D61—28no—
875C22×D61—28no—
876C22×D61—28no—
877C22×D61—21no—
878C22×D61—21no—
879C22×D61—21no—
880C22×D61—21no—
881C22×D61—21no—
882C22×D61—21no—
883C22×D61—21no—
884C22×D61—44no—
885C22×D61—44no—
886C22×D61—44no—
887C22×D61—44no—
888C22×D61—44no—
889C22×D61—44no—
890C22×D61—44no—
891C22×D61—44no—
892C22×D61—44no—
893C22×D61—44no—
894C22×D61—44no—
895C22×D61—44no—
896C22×D61—44no—
897C22×D61—44no—
898C22×D61—4128no—
899C22×D61—44no—
900C22×D61—44no—
901C22×D61—44no—
902C22×D61—44no—
903C22×D61—44no—
904C22×D61—44no—
905C22×D61—44no—
906C22×D61—44no—
907C22×D61—44no—
908C22×D61—44no—
909C22×D61—44no—
910C22×D61—44no—
911C22×D61—44no—
912C22×D61—44no—
913C22×D61—44no—
914C22×D61—44no—
915C22×D61—44no—
916C22×D61—44no—
917C22×D61—44no—
918C22×D61—44no—
919C22×D61—44no—
920C22×D61—44no—
921C22×D61—44no—
922C22×D61#121116yescomplemented
923C22×D61C22×D412yes—
924C22×D61C22×D412yes—
925C22×D61C22×D412yes—
926C22×D61C22×D412yes—
927C22×D61C22×D412yes—
928C22×D61C22×D412yes—
929C22×D61C22×D412yes—
930C22×D61C2×#4112yes—
931C22×D61C2×#4112yes—
932C22×D61C2×#4112yes—
933C22×D61C2×#4112yes—
934C22×D61H(5,𝔽2)12yes—
935C22×D61H(5,𝔽2)12yes—
936D4×C61—28no—
937D4×C61—44no—
938D4×C61—44no—
939D4×C61—44no—
940D4×C61—44no—
941D4×C61—44no—
942D4×C61—44no—
943C2×C4×C61—21no—
944C2×C4×C61—21no—
945C2×C4×C61—21no—
946C2×C4×C61—21no—
947C2×C4×C61—21no—
948C2×C4×C61—21no—
949C2×C4×C61—21no—
950C2×C4×C61—21no—
951C2×C4×C61—21no—
952C2×C4×C61—21no—
953C2×C4×C61—21no—
954C2×C4×C61—21no—
955C2×C4×C61—21no—
956C2×C4×C61—21no—
957C2×C4×C61—21no—
958C2×C4×C61—21no—
959C2×C4×C61—21no—
960C2×C4×C61—21no—
961C2×C4×C61—21no—
962C2×C4×C61—21no—
963C2×C4×C61—21no—
964C2×C4×C61—21no—
965C2×C4×C61—21no—
966C2×C4×C61—21no—
967C2×C4×C61—21no—
968C2×C4×C61—44no—
969C2×C4×C61—44no—
970C2×C4×C61—44no—
971C2×C4×C61C22×D412yes—
972C2×C4×C61C22×D412yes—
973C2×C4×C61C22×D412yes—
974C2×C4×C61C22×D412yes—
975C2×C4×C61C22×D412yes—
976C22⋊D61—28no—
977C22⋊D61—28no—
978C22⋊D61—44no—
979C22⋊D61—44no—
980C22⋊D61—44no—
981C22⋊D61—44no—
982C22⋊D61—44no—
983C22⋊D61—44no—
984C22⋊D61—44no—
985C22⋊D61—44no—
986C22⋊D61—44no—
987C22⋊D61—44no—
988C22⋊D61—44no—
989C22⋊D61—44no—
990C2×Dic61—21no—
991C2×Dic61—21no—
992C2×Dic61—21no—
993C2×Dic61—21no—
994C2×Dic61—21no—
995C2×Dic61—21no—
996C2×Dic61—21no—
997C2×Dic61—21no—
998C2×Dic61—21no—
999C2×Dic61—21no—
1000C2×Dic61—21no—
1001C2×Dic61—21no—
1002C2×Dic61—21no—
1003C2×Dic61—21no—
1004C2×Dic61—21no—
1005C2×Dic61—21no—
1006C2×Dic61—21no—
1007C2×Dic61—21no—
1008C2×Dic61—21no—
1009C2×Dic61—21no—
1010C2×Dic61—21no—
1011C2×Dic61—21no—
1012C2×Dic61—21no—
1013C2×Dic61—21no—
1014C2×Dic61—21no—
1015C2×Dic61—44no—
1016C2×Dic61—44no—
1017C2×Dic61—44no—
1018C2×Dic61C22×D412yes—
1019C2×Dic61C22×D412yes—
1020C2×Dic61C22×D412yes—
1021C2×Dic61C22×D412yes—
1022C2×Dic61C22×D412yes—
1023D244—28no—
1024D244—44no—
1025D244—44no—
1026D244—44no—
1027D244—44no—
1028D244—44no—
1029D244—44no—
1030C4×D61—28no—
1031C4×D61—28no—
1032C4×D61—28no—
1033C4×D61—28no—
1034C4×D61—28no—
1035C4×D61—44no—
1036C4×D61—44no—
1037C4×D61—44no—
1038C4×D61—44no—
1039C4×D61—44no—
1040C4×D61—44no—
1041C4×D61—44no—
1042C4×D61—44no—
1043C4×D61—44no—
1044C4×D61—44no—
1045C4×D61—44no—
1046C2×#2424—611nomaximal, Sylow
1047C22×C61—22no—
1048C22×C61—22no—
1049C22×C61—22no—
1050C22×C61—22no—
1051C22×C61—22no—
1052C22×C61—22no—
1053C22×C61—22no—
1054C22×C61—22no—
1055C22×C61—22no—
1056C22×C61—22no—
1057C22×C61—22no—
1058C22×C61—22no—
1059C22×C61—22no—
1060C22×C61—22no—
1061C22×C61—22no—
1062C22×C61—416no—
1063C22×C61—41no—
1064C22×C61—41no—
1065C22×C61—41no—
1066C22×C61—41no—
1067C22×C61—41no—
1068C22×C61—41no—
1069C22×C61—41no—
1070C22×C61—41no—
1071C22×C61—41no—
1072C22×C61—41no—
1073C22×C61—41no—
1074C22×C61—41no—
1075C22×C61—41no—
1076C22×C61—41no—
1077C22×C61—41no—
1078C22×C61—41no—
1079C22×C61—41no—
1080C22×C61—41no—
1081C22×C61—41no—
1082C22×C61C2×#12114yescomplemented
1083C22×C61C23×D411yescharacteristic
1084C22×C61C23×D411yescharacteristic
1085C22×C61C23×D411yescharacteristic
1086C22×C61C22×#4111yescharacteristic
1087C22×C61C22×#4111yescharacteristic
1088C22×C61C2×H(5,𝔽2)11yescharacteristic
1089C22×C61C2×H(5,𝔽2)11yescharacteristic
1090C2×D61—22no—
1091C2×D61—22no—
1092C2×D61—22no—
1093C2×D61—22no—
1094C2×D61—22no—
1095C2×D61—22no—
1096C2×D61—232no—
1097C2×D61—22no—
1098C2×D61—22no—
1099C2×D61—22no—
1100C2×D61—22no—
1101C2×D61—22no—
1102C2×D61—22no—
1103C2×D61—22no—
1104C2×D61—22no—
1105C2×D61—22no—
1106C2×D61—416no—
1107C2×D61—416no—
1108C2×D61—416no—
1109C2×D61—41no—
1110C2×D61—41no—
1111C2×D61—41no—
1112C2×D61—41no—
1113C2×D61—41no—
1114C2×D61—41no—
1115C2×D61—41no—
1116C2×D61—41no—
1117C2×D61—41no—
1118C2×D61—41no—
1119C2×D61—41no—
1120C2×D61—41no—
1121C2×D61—416no—
1122C2×D61—416no—
1123C2×D61—416no—
1124C2×D61—41no—
1125C2×D61—41no—
1126C2×D61—41no—
1127C2×D61—41no—
1128C2×D61—41no—
1129C2×D61—41no—
1130C2×D61—41no—
1131C2×D61—88no—
1132C2×D61C2×#12114yes—
1133C2×D61C2×#12114yescomplemented
1134C2×D61#52514yes—
1135C2×D61#53814yes—
1136C2×D61D4214yes—
1137C2×D61D4214yes—
1138C2×D61#54614yes—
1139C2×D61#54614yes—
1140C4×C61—22no—
1141C4×C61—22no—
1142C4×C61—22no—
1143C4×C61—22no—
1144C4×C61—22no—
1145C4×C61—41no—
1146C4×C61—41no—
1147C4×C61—41no—
1148C4×C61—41no—
1149C4×C61—41no—
1150Dic61—22no—
1151Dic61—22no—
1152Dic61—22no—
1153Dic61—22no—
1154Dic61—22no—
1155Dic61—41no—
1156Dic61—41no—
1157Dic61—41no—
1158Dic61—41no—
1159Dic61—41no—
1160C22×#121—611no—
1161C22×#121—611no—
1162C22×#120—611no—
1163C22×#120—611no—
1164C22×C4×D4—611no—
1165C23×C22⋊C4—611no—
1166#2424—611no—
1167#2424—611no—
1168#2424—611no—
1169#2424—611no—
1170#2424—611no—
1171#2424—611no—
1172#2424—611no—
1173#2424—611no—
1174#2424—611no—
1175#2424—611no—
1176#2424—611no—
1177#2424—611no—
1178#2424—611no—
1179#2424—611no—
1180#2424—611no—
1181#2424D6111yescharacteristic, direct product factor
1182C2×#396—611no—
1183C2×#394—611no—
1184C2×#394—611no—
1185C2×#392—611no—
1186C2×#390—611no—
1187C2×#388—611no—
1188C2×#386—611no—
1189C2×#386—611no—
1190C2×#385—611no—
1191C2×C61—24no—
1192C2×C61—42no—
1193C2×C61—42no—
1194C2×C61—42no—
1195C2×C61—81no—
1196C2×C61C22×#12111yescharacteristic
1197C2×C61C2×#52511yescharacteristic
1198C2×C61C2×#53811yescharacteristic
1199C2×C61C2×D4211yescharacteristic
1200C2×C61C2×D4211yescharacteristic
1201C2×C61C2×#54611yescharacteristic
1202C2×C61C2×#54611yescharacteristic
1203D61—24no—
1204D61—42no—
1205D61—42no—
1206D61—42no—
1207D61—81no—
1208D61#242418yesdirect product factor
1209C26—611no—
1210C23×D4—611no—
1211C23×D4—611no—
1212C23×D4—611no—
1213C23×D4—611no—
1214C23×D4—611no—
1215C23×D4—611no—
1216C23×D4—611no—
1217C24×C4—611no—
1218C24×C4—611no—
1219C24×C4—611no—
1220C2×#121—611no—
1221C2×#121—611no—
1222C2×#121—611no—
1223C2×#121—611no—
1224C2×#121—611no—
1225C2×#121—611no—
1226C2×#121—611no—
1227C2×#121—611no—
1228C2×#121—611no—
1229C2×#121—611no—
1230C2×#121—611no—
1231C2×#121—611no—
1232C2×#121—611no—
1233C2×#121—611no—
1234C2×#121—1228no—
1235C2×#121—1228no—
1236C2×#121C2×D6111yescharacteristic, complemented
1237C2×#121C2×D6111yescharacteristic, complemented
1238C2×#120—611no—
1239C2×#120—611no—
1240C2×#120—611no—
1241C2×#120—611no—
1242C2×#120—611no—
1243C2×#120—611no—
1244C2×#120—611no—
1245C2×#120—611no—
1246C2×#120—611no—
1247C2×#120—611no—
1248C2×#120—611no—
1249C2×#120—611no—
1250C2×#120—611no—
1251C2×#120—611no—
1252C2×#120—1228no—
1253C2×#120—1228no—
1254C2×#120C2×D6111yescharacteristic, complemented
1255C2×#120C2×D6111yescharacteristic, complemented
1256C2×C4×D4—611no—
1257C2×C4×D4—611no—
1258C2×C4×D4—611no—
1259C2×C4×D4—611no—
1260C2×C4×D4—611no—
1261C2×C4×D4—611no—
1262C2×C4×D4—611no—
1263C2×C4×D4—1228no—
1264C2×C4×D4C2×D6111yescharacteristic, complemented
1265C22×C4⋊C4—611no—
1266C22×C4⋊C4—611no—
1267C22×C4⋊C4—611no—
1268C22×C4⋊C4—611no—
1269C22×C22⋊C4—611no—
1270C22×C22⋊C4—611no—
1271C22×C22⋊C4—611no—
1272C22×C22⋊C4—611no—
1273C22×C22⋊C4—611no—
1274C22×C22⋊C4—611no—
1275C22×C22⋊C4—611no—
1276C22×C22⋊C4—611no—
1277C22×C22⋊C4—611no—
1278C22×C22⋊C4—611no—
1279C22×C22⋊C4—611no—
1280C22×C22⋊C4—611no—
1281C22×C22⋊C4—611no—
1282C22×C22⋊C4—611no—
1283C22×C22⋊C4—611no—
1284C22×C22⋊C4—611no—
1285C22×C22⋊C4—611no—
1286C22×C22⋊C4—611no—
1287C22×C22⋊C4—611no—
1288C22×C22⋊C4—611no—
1289C22×C22⋊C4—611no—
1290C22×C22⋊C4—611no—
1291C22×C22⋊C4—1228no—
1292C22×C22⋊C4C2×D6111yescharacteristic, complemented
1293C22×C42—611no—
1294#396—611no—
1295#396—611no—
1296#396—611no—
1297#396—611no—
1298#396—611no—
1299#396—611no—
1300#396—611no—
1301#396C2×D6111yescharacteristic, complemented
1302#394—611no—
1303#394—611no—
1304#394—611no—
1305#394—611no—
1306#394—611no—
1307#394—611no—
1308#394—611no—
1309#394—611no—
1310#394—611no—
1311#394—611no—
1312#394—611no—
1313#394—611no—
1314#394—611no—
1315#394—611no—
1316#394C2×D6111yescharacteristic, complemented
1317#394C2×D6111yescharacteristic, complemented
1318#392—611no—
1319#392—611no—
1320#392—611no—
1321#392—611no—
1322#392—611no—
1323#392—611no—
1324#392—611no—
1325#392C2×D6111yescharacteristic, complemented
1326#390—611no—
1327#390—611no—
1328#390—611no—
1329#390—611no—
1330#390—611no—
1331#390—611no—
1332#390—611no—
1333#390C2×D6111yescharacteristic, complemented
1334#388—611no—
1335#388—611no—
1336#388—611no—
1337#388—611no—
1338#388—611no—
1339#388—611no—
1340#388—611no—
1341#388C2×D6111yescharacteristic, complemented
1342#386—611no—
1343#386—611no—
1344#386—611no—
1345#386—611no—
1346#386—611no—
1347#386—611no—
1348#386—611no—
1349#386—611no—
1350#386—611no—
1351#386—611no—
1352#386—611no—
1353#386—611no—
1354#386—611no—
1355#386—611no—
1356#386C2×D6111yescharacteristic, complemented
1357#386C2×D6111yescharacteristic, complemented
1358#385—611no—
1359#385—611no—
1360#385—611no—
1361#385—611no—
1362#385—611no—
1363#385—611no—
1364#385—611no—
1365#385C2×D6111yescharacteristic, complemented
1366C2×#95—611no—
1367C2×#95—611no—
1368C2×#95—611no—
1369C2×#95—611no—
1370C61C2×#242411yescharacteristic, complemented, Sylow
1371C25—611no—
1372C25—611no—
1373C25—611no—
1374C25—611no—
1375C25—611no—
1376C25—611no—
1377C25—611no—
1378C25—611no—
1379C25—1224no—
1380C25—1224no—
1381C25—1224no—
1382C25—1224no—
1383C25—1224no—
1384C25—2442no—
1385C25—2442no—
1386C25C22×D6111yescharacteristic
1387C22×D4—611no—
1388C22×D4—611no—
1389C22×D4—618no—
1390C22×D4—611no—
1391C22×D4—611no—
1392C22×D4—611no—
1393C22×D4—611no—
1394C22×D4—611no—
1395C22×D4—611no—
1396C22×D4—611no—
1397C22×D4—611no—
1398C22×D4—611no—
1399C22×D4—611no—
1400C22×D4—611no—
1401C22×D4—611no—
1402C22×D4—611no—
1403C22×D4—611no—
1404C22×D4—611no—
1405C22×D4—611no—
1406C22×D4—611no—
1407C22×D4—611no—
1408C22×D4—611no—
1409C22×D4—1224no—
1410C22×D4—1224no—
1411C22×D4—1224no—
1412C22×D4—1224no—
1413C22×D4—1224no—
1414C22×D4—1224no—
1415C22×D4—1224no—
1416C22×D4—1224no—
1417C22×D4—1224no—
1418C22×D4—1224no—
1419C22×D4—1224no—
1420C22×D4—1224no—
1421C22×D4—1224no—
1422C22×D4—1224no—
1423C22×D4—1224no—
1424C22×D4—2442no—
1425C22×D4—2442no—
1426C22×D4—2442no—
1427C22×D4—2442no—
1428C22×D4—2442no—
1429C22×D4C22×D6111yescharacteristic
1430C22×D4C22×D6111yescharacteristic
1431C22×D4C22×D6111yescharacteristic
1432C22×D4C22×D6111yescharacteristic
1433C22×D4C22×D6111yescharacteristic
1434C22×D4C22×D6111yescharacteristic
1435C22×D4C22×D6111yescharacteristic, complemented
1436C23×C4—611no—
1437C23×C4—611no—
1438C23×C4—611no—
1439C23×C4—611no—
1440C23×C4—611no—
1441C23×C4—611no—
1442C23×C4—611no—
1443C23×C4—611no—
1444C23×C4—611no—
1445C23×C4—611no—
1446C23×C4—611no—
1447C23×C4—611no—
1448C23×C4—611no—
1449C23×C4—611no—
1450C23×C4—611no—
1451C23×C4—611no—
1452C23×C4—611no—
1453C23×C4—611no—
1454C23×C4—611no—
1455C23×C4—1224no—
1456C23×C4—1224no—
1457C23×C4—1224no—
1458C23×C4—1224no—
1459C23×C4—1224no—
1460C23×C4—1224no—
1461C23×C4—2442no—
1462C23×C4—2442no—
1463C23×C4—2442no—
1464C23×C4C22×D6111yescharacteristic
1465C23×C4C22×D6111yescharacteristic
1466C23×C4C22×D6111yescharacteristic, complemented
1467#121—24no—
1468#121—24no—
1469#121—1224no—
1470#121—1224no—
1471#121—1224no—
1472#121—1224no—
1473#121—1224no—
1474#121—1224no—
1475#121—1224no—
1476#121—1224no—
1477#121—1224no—
1478#121—1224no—
1479#121—1224no—
1480#121—1224no—
1481#121—1224no—
1482#121—1224no—
1483#120—24no—
1484#120—24no—
1485#120—1224no—
1486#120—1224no—
1487#120—1224no—
1488#120—1224no—
1489#120—1224no—
1490#120—1224no—
1491#120—1224no—
1492#120—1224no—
1493#120—1224no—
1494#120—1224no—
1495#120—1224no—
1496#120—1224no—
1497#120—1224no—
1498#120—1224no—
1499C4×D4—24no—
1500C4×D4—1224no—
1501C4×D4—1224no—
1502C4×D4—1224no—
1503C4×D4—1224no—
1504C4×D4—1224no—
1505C4×D4—1224no—
1506C4×D4—1224no—
1507C2×C4⋊C4—611no—
1508C2×C4⋊C4—611no—
1509C2×C4⋊C4—611no—
1510C2×C4⋊C4—611no—
1511C2×C4⋊C4—611no—
1512C2×C4⋊C4—611no—
1513C2×C4⋊C4—611no—
1514C2×C4⋊C4—611no—
1515C2×C4⋊C4—611no—
1516C2×C4⋊C4—611no—
1517C2×C4⋊C4—611no—
1518C2×C4⋊C4—611no—
1519C2×C4⋊C4—1224no—
1520C2×C4⋊C4—1224no—
1521C2×C4⋊C4—1224no—
1522C2×C4⋊C4—2442no—
1523C2×C4⋊C4C22×D6111yescharacteristic, complemented
1524C2×C4⋊C4C22×D6111yescharacteristic, complemented
1525C2×C4⋊C4C22×D6111yescharacteristic, complemented
1526C2×C4⋊C4C22×D6111yescharacteristic, complemented
1527C2×C22⋊C4—24no—
1528C2×C22⋊C4—611no—
1529C2×C22⋊C4—611no—
1530C2×C22⋊C4—611no—
1531C2×C22⋊C4—611no—
1532C2×C22⋊C4—611no—
1533C2×C22⋊C4—611no—
1534C2×C22⋊C4—618no—
1535C2×C22⋊C4—618no—
1536C2×C22⋊C4—611no—
1537C2×C22⋊C4—611no—
1538C2×C22⋊C4—611no—
1539C2×C22⋊C4—611no—
1540C2×C22⋊C4—611no—
1541C2×C22⋊C4—611no—
1542C2×C22⋊C4—611no—
1543C2×C22⋊C4—611no—
1544C2×C22⋊C4—611no—
1545C2×C22⋊C4—611no—
1546C2×C22⋊C4—611no—
1547C2×C22⋊C4—611no—
1548C2×C22⋊C4—611no—
1549C2×C22⋊C4—611no—
1550C2×C22⋊C4—611no—
1551C2×C22⋊C4—611no—
1552C2×C22⋊C4—611no—
1553C2×C22⋊C4—611no—
1554C2×C22⋊C4—611no—
1555C2×C22⋊C4—611no—
1556C2×C22⋊C4—611no—
1557C2×C22⋊C4—611no—
1558C2×C22⋊C4—611no—
1559C2×C22⋊C4—611no—
1560C2×C22⋊C4—611no—
1561C2×C22⋊C4—611no—
1562C2×C22⋊C4—611no—
1563C2×C22⋊C4—611no—
1564C2×C22⋊C4—611no—
1565C2×C22⋊C4—611no—
1566C2×C22⋊C4—611no—
1567C2×C22⋊C4—611no—
1568C2×C22⋊C4—611no—
1569C2×C22⋊C4—611no—
1570C2×C22⋊C4—611no—
1571C2×C22⋊C4—611no—
1572C2×C22⋊C4—611no—
1573C2×C22⋊C4—611no—
1574C2×C22⋊C4—611no—
1575C2×C22⋊C4—1224no—
1576C2×C22⋊C4—1224no—
1577C2×C22⋊C4—1224no—
1578C2×C22⋊C4—1224no—
1579C2×C22⋊C4—1224no—
1580C2×C22⋊C4—1224no—
1581C2×C22⋊C4—1224no—
1582C2×C22⋊C4—1224no—
1583C2×C22⋊C4—1224no—
1584C2×C22⋊C4—1224no—
1585C2×C22⋊C4—1224no—
1586C2×C22⋊C4—1224no—
1587C2×C22⋊C4—1224no—
1588C2×C22⋊C4—1224no—
1589C2×C22⋊C4—1224no—
1590C2×C22⋊C4—1224no—
1591C2×C22⋊C4—1224no—
1592C2×C22⋊C4—1224no—
1593C2×C22⋊C4—1224no—
1594C2×C22⋊C4—2442no—
1595C2×C22⋊C4C22×D6111yescharacteristic
1596C2×C22⋊C4C22×D6111yescharacteristic
1597C2×C22⋊C4C22×D6111yescharacteristic
1598C2×C22⋊C4C22×D6111yescharacteristic
1599C2×C22⋊C4C22×D6111yescharacteristic
1600C2×C22⋊C4C22×D6111yescharacteristic
1601C2×C22⋊C4C22×D6111yescharacteristic
1602C2×C22⋊C4C22×D6111yescharacteristic
1603C2×C22⋊C4C22×D6111yescharacteristic
1604C2×C22⋊C4C22×D6111yescharacteristic
1605C2×C22⋊C4C22×D6111yescharacteristic, complemented
1606C2×C22⋊C4C22×D6111yescharacteristic, complemented
1607C2×C22⋊C4C22×D6111yescharacteristic, complemented
1608C2×C22⋊C4C22×D6111yescharacteristic, complemented
1609C2×C22⋊C4C22×D6111yescharacteristic, complemented
1610C2×C42—611no—
1611C2×C42—611no—
1612C2×C42—611no—
1613C2×C42—1224no—
1614C2×C42C22×D6111yescharacteristic, complemented
1615#95—611no—
1616#95—611no—
1617#95—611no—
1618#95—611no—
1619#95—611no—
1620#95—611no—
1621#95—611no—
1622#95—611no—
1623#95—611no—
1624#95—611no—
1625#95—611no—
1626#95—611no—
1627#95C22×D6111yescharacteristic, complemented
1628#95C22×D6111yescharacteristic, complemented
1629#95C22×D6111yescharacteristic, complemented
1630#95C22×D6111yescharacteristic, complemented
1631C24—22no—
1632C24—22no—
1633C24—22no—
1634C24—22no—
1635C24—22no—
1636C24—41no—
1637C24—41no—
1638C24—611no—
1639C24—614no—
1640C24—614no—
1641C24—614no—
1642C24—611no—
1643C24—614no—
1644C24—614no—
1645C24—614no—
1646C24—611no—
1647C24—611no—
1648C24—611no—
1649C24—611no—
1650C24—1222no—
1651C24—1222no—
1652C24—1222no—
1653C24—1222no—
1654C24—1222no—
1655C24—1222no—
1656C24—1222no—
1657C24—1222no—
1658C24—1222no—
1659C24—1222no—
1660C24—1222no—
1661C24—1222no—
1662C24—1222no—
1663C24—1222no—
1664C24—1222no—
1665C24—1222no—
1666C24—1222no—
1667C24—1222no—
1668C24—1222no—
1669C24—1222no—
1670C24—1222no—
1671C24—1222no—
1672C24—1222no—
1673C24—1222no—
1674C24—1222no—
1675C24—1222no—
1676C24—1222no—
1677C24—1222no—
1678C24—1222no—
1679C24—1222no—
1680C24—1222no—
1681C24—1222no—
1682C24—1222no—
1683C24—1222no—
1684C24—1222no—
1685C24—1222no—
1686C24—1222no—
1687C24—1222no—
1688C24—1222no—
1689C24—12232no—
1690C24—1222no—
1691C24—1222no—
1692C24—1222no—
1693C24—1222no—
1694C24—1222no—
1695C24—2441no—
1696C24—2441no—
1697C24—2441no—
1698C24—2441no—
1699C24—2441no—
1700C24—2441no—
1701C24—24416no—
1702C24—24416no—
1703C24—24416no—
1704C24—24416no—
1705C24—24416no—
1706C24—24416no—
1707C24C23×D6111yescharacteristic
1708C24C23×D6111yescharacteristic
1709C24C23×D6111yescharacteristic
1710C24C23×D6111yescharacteristic
1711C24C23×D6111yescharacteristic
1712C2×D4—22no—
1713C2×D4—22no—
1714C2×D4—22no—
1715C2×D4—22no—
1716C2×D4—22no—
1717C2×D4—22no—
1718C2×D4—22no—
1719C2×D4—22no—
1720C2×D4—22no—
1721C2×D4—22no—
1722C2×D4—22no—
1723C2×D4—22no—
1724C2×D4—22no—
1725C2×D4—22no—
1726C2×D4—22no—
1727C2×D4—41no—
1728C2×D4—41no—
1729C2×D4—41no—
1730C2×D4—41no—
1731C2×D4—41no—
1732C2×D4—614no—
1733C2×D4—614no—
1734C2×D4—614no—
1735C2×D4—1222no—
1736C2×D4—1222no—
1737C2×D4—1222no—
1738C2×D4—1222no—
1739C2×D4—1222no—
1740C2×D4—1222no—
1741C2×D4—1222no—
1742C2×D4—1222no—
1743C2×D4—1222no—
1744C2×D4—1222no—
1745C2×D4—1222no—
1746C2×D4—1222no—
1747C2×D4—1222no—
1748C2×D4—1222no—
1749C2×D4—1222no—
1750C2×D4—1222no—
1751C2×D4—1222no—
1752C2×D4—1222no—
1753C2×D4—12232no—
1754C2×D4—1222no—
1755C2×D4—1222no—
1756C2×D4—1222no—
1757C2×D4—1222no—
1758C2×D4—1222no—
1759C2×D4—1222no—
1760C2×D4—1222no—
1761C2×D4—1222no—
1762C2×D4—1222no—
1763C2×D4—1222no—
1764C2×D4—1222no—
1765C2×D4—1222no—
1766C2×D4—1222no—
1767C2×D4—1222no—
1768C2×D4—1222no—
1769C2×D4—1222no—
1770C2×D4—1222no—
1771C2×D4—1222no—
1772C2×D4—1222no—
1773C2×D4—1222no—
1774C2×D4—1222no—
1775C2×D4—1222no—
1776C2×D4—1222no—
1777C2×D4—1222no—
1778C2×D4—1222no—
1779C2×D4—1222no—
1780C2×D4—1222no—
1781C2×D4—2441no—
1782C2×D4—2441no—
1783C2×D4—2441no—
1784C2×D4—2441no—
1785C2×D4—2441no—
1786C2×D4—24416no—
1787C2×D4—24416no—
1788C2×D4—24416no—
1789C2×D4—2441no—
1790C2×D4—2441no—
1791C2×D4—2441no—
1792C2×D4—2441no—
1793C2×D4—2441no—
1794C2×D4—2441no—
1795C2×D4—2441no—
1796C2×D4—2441no—
1797C2×D4—2441no—
1798C2×D4—2441no—
1799C2×D4—24416no—
1800C2×D4—24416no—
1801C2×D4—24416no—
1802C2×D4D4×D6114yescomplemented
1803C22×C4—22no—
1804C22×C4—22no—
1805C22×C4—22no—
1806C22×C4—22no—
1807C22×C4—22no—
1808C22×C4—22no—
1809C22×C4—41no—
1810C22×C4—41no—
1811C22×C4—41no—
1812C22×C4—611no—
1813C22×C4—611no—
1814C22×C4—611no—
1815C22×C4—611no—
1816C22×C4—611no—
1817C22×C4—614no—
1818C22×C4—614no—
1819C22×C4—614no—
1820C22×C4—614no—
1821C22×C4—614no—
1822C22×C4—611no—
1823C22×C4—611no—
1824C22×C4—611no—
1825C22×C4—611no—
1826C22×C4—611no—
1827C22×C4—1222no—
1828C22×C4—1222no—
1829C22×C4—1222no—
1830C22×C4—1222no—
1831C22×C4—1222no—
1832C22×C4—1222no—
1833C22×C4—1222no—
1834C22×C4—1222no—
1835C22×C4—1222no—
1836C22×C4—1222no—
1837C22×C4—1222no—
1838C22×C4—1222no—
1839C22×C4—1222no—
1840C22×C4—1222no—
1841C22×C4—1222no—
1842C22×C4—1222no—
1843C22×C4—1222no—
1844C22×C4—1222no—
1845C22×C4—1222no—
1846C22×C4—1222no—
1847C22×C4—1222no—
1848C22×C4—1222no—
1849C22×C4—1222no—
1850C22×C4—1222no—
1851C22×C4—1222no—
1852C22×C4—1222no—
1853C22×C4—1222no—
1854C22×C4—1222no—
1855C22×C4—1222no—
1856C22×C4—1222no—
1857C22×C4—1222no—
1858C22×C4—1222no—
1859C22×C4—1222no—
1860C22×C4—1222no—
1861C22×C4—1222no—
1862C22×C4—1222no—
1863C22×C4—1222no—
1864C22×C4—1222no—
1865C22×C4—1222no—
1866C22×C4—1222no—
1867C22×C4—1222no—
1868C22×C4—1222no—
1869C22×C4—1222no—
1870C22×C4—2441no—
1871C22×C4—2441no—
1872C22×C4—2441no—
1873C22×C4—2441no—
1874C22×C4—2441no—
1875C22×C4—2441no—
1876C22×C4—24416no—
1877C22×C4—24416no—
1878C22×C4—24416no—
1879C22×C4—2441no—
1880C22×C4—2441no—
1881C22×C4—2441no—
1882C22×C4C23×D6111yescharacteristic
1883C22×C4C23×D6111yescharacteristic
1884C22×C4C23×D6111yescharacteristic
1885C22×C4C23×D6111yescharacteristic
1886C22×C4C23×D6111yescharacteristic
1887C22×C4C23×D6111yescharacteristic
1888C22×C4C23×D6111yescharacteristic
1889C22×C4C23×D6111yescharacteristic
1890C22×C4C23×D6111yescharacteristic
1891C22×C4C23×D6111yescharacteristic
1892C4⋊C4—22no—
1893C4⋊C4—22no—
1894C4⋊C4—22no—
1895C4⋊C4—41no—
1896C4⋊C4—1222no—
1897C4⋊C4—1222no—
1898C4⋊C4—1222no—
1899C4⋊C4—1222no—
1900C4⋊C4—1222no—
1901C4⋊C4—1222no—
1902C4⋊C4—1222no—
1903C4⋊C4—1222no—
1904C4⋊C4—1222no—
1905C4⋊C4—2441no—
1906C4⋊C4—2441no—
1907C4⋊C4—2441no—
1908C22⋊C4—22no—
1909C22⋊C4—22no—
1910C22⋊C4—22no—
1911C22⋊C4—22no—
1912C22⋊C4—22no—
1913C22⋊C4—22no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—22no—
1917C22⋊C4—22no—
1918C22⋊C4—22no—
1919C22⋊C4—22no—
1920C22⋊C4—41no—
1921C22⋊C4—614no—
1922C22⋊C4—614no—
1923C22⋊C4—614no—
1924C22⋊C4—614no—
1925C22⋊C4—614no—
1926C22⋊C4—614no—
1927C22⋊C4—1222no—
1928C22⋊C4—1222no—
1929C22⋊C4—1222no—
1930C22⋊C4—1222no—
1931C22⋊C4—1222no—
1932C22⋊C4—1222no—
1933C22⋊C4—1222no—
1934C22⋊C4—1222no—
1935C22⋊C4—1222no—
1936C22⋊C4—1222no—
1937C22⋊C4—1222no—
1938C22⋊C4—1222no—
1939C22⋊C4—1222no—
1940C22⋊C4—1222no—
1941C22⋊C4—1222no—
1942C22⋊C4—1222no—
1943C22⋊C4—1222no—
1944C22⋊C4—1222no—
1945C22⋊C4—1222no—
1946C22⋊C4—1222no—
1947C22⋊C4—1222no—
1948C22⋊C4—1222no—
1949C22⋊C4—1222no—
1950C22⋊C4—1222no—
1951C22⋊C4—1222no—
1952C22⋊C4—1222no—
1953C22⋊C4—1222no—
1954C22⋊C4—1222no—
1955C22⋊C4—1222no—
1956C22⋊C4—1222no—
1957C22⋊C4—1222no—
1958C22⋊C4—1222no—
1959C22⋊C4—1222no—
1960C22⋊C4—1222no—
1961C22⋊C4—1222no—
1962C22⋊C4—1222no—
1963C22⋊C4—2441no—
1964C22⋊C4—2441no—
1965C22⋊C4—2441no—
1966C22⋊C4D4×D6114yescomplemented
1967C22⋊C4D4×D6114yescomplemented
1968C42—22no—
1969C42—1222no—
1970C42—1222no—
1971C42—1222no—
1972C23—21no—
1973C23—21no—
1974C23—21no—
1975C23—21no—
1976C23—28no—
1977C23—21no—
1978C23—21no—
1979C23—21no—
1980C23—21no—
1981C23—21no—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—21no—
1997C23—21no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—21no—
2002C23—44no—
2003C23—44no—
2004C23—44no—
2005C23—44no—
2006C23—44no—
2007C23—44no—
2008C23—612no—
2009C23—612no—
2010C23—612no—
2011C23—612no—
2012C23—612no—
2013C23—612no—
2014C23—612no—
2015C23—6116no—
2016C23—612no—
2017C23—612no—
2018C23—612no—
2019C23—612no—
2020C23—612no—
2021C23—612no—
2022C23—1228no—
2023C23—1228no—
2024C23—1228no—
2025C23—1228no—
2026C23—1228no—
2027C23—1228no—
2028C23—1228no—
2029C23—1228no—
2030C23—1228no—
2031C23—1228no—
2032C23—1228no—
2033C23—1228no—
2034C23—1228no—
2035C23—1228no—
2036C23—1228no—
2037C23—1228no—
2038C23—1228no—
2039C23—1228no—
2040C23—1221no—
2041C23—1221no—
2042C23—1221no—
2043C23—1221no—
2044C23—1221no—
2045C23—1221no—
2046C23—1221no—
2047C23—1221no—
2048C23—1221no—
2049C23—1221no—
2050C23—1221no—
2051C23—1221no—
2052C23—1221no—
2053C23—1221no—
2054C23—1221no—
2055C23—1221no—
2056C23—1221no—
2057C23—1221no—
2058C23—1221no—
2059C23—1221no—
2060C23—1221no—
2061C23—1221no—
2062C23—1221no—
2063C23—1221no—
2064C23—1221no—
2065C23—1221no—
2066C23—1221no—
2067C23—1221no—
2068C23—1221no—
2069C23—2444no—
2070C23—2444no—
2071C23—2444no—
2072C23—2444no—
2073C23—2444no—
2074C23—2444no—
2075C23—2444no—
2076C23—2444no—
2077C23—2444no—
2078C23—2444no—
2079C23—2444no—
2080C23—2444no—
2081C23—2444no—
2082C23—2444no—
2083C23—2444no—
2084C23—2444no—
2085C23—2444no—
2086C23—2444no—
2087C23—2444no—
2088C23—2444no—
2089C23—2444no—
2090C23—2444no—
2091C23—2444no—
2092C23—2444no—
2093C23—2444no—
2094C23—2444no—
2095C23—2444no—
2096C23—2444no—
2097C23—2444no—
2098C23—2444no—
2099C23—2444no—
2100C23—2444no—
2101C23—2444no—
2102C23—2444no—
2103C23—244128no—
2104C23—2444no—
2105C23—2444no—
2106C23—2444no—
2107C23C2×D4×D6112yes—
2108C23C2×D4×D6112yes—
2109C23C2×D4×D6112yes—
2110C23C2×D4×D6112yes—
2111C23#41×D6112yes—
2112C23#41×D6112yes—
2113C23C24×D6111yescharacteristic
2114D4—28no—
2115D4—44no—
2116D4—44no—
2117D4—44no—
2118D4—44no—
2119D4—44no—
2120D4—44no—
2121D4—1228no—
2122D4—1228no—
2123D4—1228no—
2124D4—2444no—
2125D4—2444no—
2126D4—2444no—
2127D4—2444no—
2128D4—2444no—
2129D4—2444no—
2130D4—2444no—
2131D4—2444no—
2132D4—2444no—
2133D4—2444no—
2134D4—2444no—
2135D4—2444no—
2136D4—2444no—
2137D4—2444no—
2138D4—2444no—
2139D4—2444no—
2140D4—2444no—
2141D4—2444no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—21no—
2145C2×C4—21no—
2146C2×C4—21no—
2147C2×C4—21no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—21no—
2151C2×C4—21no—
2152C2×C4—21no—
2153C2×C4—21no—
2154C2×C4—21no—
2155C2×C4—21no—
2156C2×C4—21no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—21no—
2161C2×C4—21no—
2162C2×C4—21no—
2163C2×C4—21no—
2164C2×C4—21no—
2165C2×C4—21no—
2166C2×C4—21no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—612no—
2171C2×C4—612no—
2172C2×C4—612no—
2173C2×C4—612no—
2174C2×C4—612no—
2175C2×C4—1228no—
2176C2×C4—1228no—
2177C2×C4—1228no—
2178C2×C4—1228no—
2179C2×C4—1228no—
2180C2×C4—1221no—
2181C2×C4—1221no—
2182C2×C4—1221no—
2183C2×C4—1221no—
2184C2×C4—1221no—
2185C2×C4—1221no—
2186C2×C4—1221no—
2187C2×C4—1221no—
2188C2×C4—1221no—
2189C2×C4—1221no—
2190C2×C4—1221no—
2191C2×C4—1221no—
2192C2×C4—1221no—
2193C2×C4—1221no—
2194C2×C4—1221no—
2195C2×C4—1221no—
2196C2×C4—1221no—
2197C2×C4—1221no—
2198C2×C4—1221no—
2199C2×C4—1221no—
2200C2×C4—1221no—
2201C2×C4—1221no—
2202C2×C4—1221no—
2203C2×C4—1221no—
2204C2×C4—1221no—
2205C2×C4—2444no—
2206C2×C4—2444no—
2207C2×C4—2444no—
2208C2×C4—2444no—
2209C2×C4—2444no—
2210C2×C4—2444no—
2211C2×C4—2444no—
2212C2×C4—2444no—
2213C2×C4—2444no—
2214C2×C4—2444no—
2215C2×C4—2444no—
2216C2×C4—2444no—
2217C2×C4—2444no—
2218C2×C4—2444no—
2219C2×C4C2×D4×D6112yes—
2220C2×C4C2×D4×D6112yes—
2221C2×C4C2×D4×D6112yes—
2222C2×C4C2×D4×D6112yes—
2223C2×C4C2×D4×D6112yes—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—22no—
2229C22—22no—
2230C22—22no—
2231C22—22no—
2232C22—22no—
2233C22—22no—
2234C22—22no—
2235C22—22no—
2236C22—22no—
2237C22—22no—
2238C22—22no—
2239C22—416no—
2240C22—41no—
2241C22—41no—
2242C22—41no—
2243C22—41no—
2244C22—41no—
2245C22—41no—
2246C22—41no—
2247C22—41no—
2248C22—41no—
2249C22—41no—
2250C22—41no—
2251C22—41no—
2252C22—41no—
2253C22—41no—
2254C22—41no—
2255C22—41no—
2256C22—41no—
2257C22—41no—
2258C22—41no—
2259C22—614no—
2260C22—614no—
2261C22—614no—
2262C22—614no—
2263C22—614no—
2264C22—614no—
2265C22—614no—
2266C22—614no—
2267C22—12232no—
2268C22—1222no—
2269C22—1222no—
2270C22—1222no—
2271C22—1222no—
2272C22—1222no—
2273C22—1222no—
2274C22—1222no—
2275C22—1222no—
2276C22—1222no—
2277C22—1222no—
2278C22—1222no—
2279C22—1222no—
2280C22—1222no—
2281C22—1222no—
2282C22—1222no—
2283C22—4888no—
2284C22—24416no—
2285C22—24416no—
2286C22—24416no—
2287C22—24416no—
2288C22—24416no—
2289C22—24416no—
2290C22—2441no—
2291C22—2441no—
2292C22—2441no—
2293C22—2441no—
2294C22—2441no—
2295C22—2441no—
2296C22—2441no—
2297C22—2441no—
2298C22—2441no—
2299C22—2441no—
2300C22—2441no—
2301C22—2441no—
2302C22—2441no—
2303C22—2441no—
2304C22—2441no—
2305C22—2441no—
2306C22—2441no—
2307C22—2441no—
2308C22—2441no—
2309C22#121×D6114yescomplemented
2310C22C22×D4×D6111yescharacteristic
2311C22C22×D4×D6111yescharacteristic
2312C22C22×D4×D6111yescharacteristic
2313C22C2×#41×D6111yescharacteristic
2314C22C2×#41×D6111yescharacteristic
2315C22H(5,𝔽2)×D6111yescharacteristic
2316C22H(5,𝔽2)×D6111yescharacteristic
2317C4—22no—
2318C4—22no—
2319C4—22no—
2320C4—22no—
2321C4—22no—
2322C4—41no—
2323C4—41no—
2324C4—41no—
2325C4—41no—
2326C4—41no—
2327C4—1222no—
2328C4—1222no—
2329C4—1222no—
2330C4—1222no—
2331C4—1222no—
2332C4—2441no—
2333C4—2441no—
2334C4—2441no—
2335C4—2441no—
2336C4—2441no—
2337C2—24no—
2338C2—42no—
2339C2—42no—
2340C2—42no—
2341C2—81no—
2342C2—618no—
2343C2—1224no—
2344C2—4881no—
2345C2—2442no—
2346C2—2442no—
2347C2—2442no—
2348C2C2×#121×D6111yescharacteristic
2349C2#525×D6111yescharacteristic
2350C2#538×D6111yescharacteristic
2351C2D42×D6111yescharacteristic
2352C2D42×D6111yescharacteristic
2353C2#546×D6111yescharacteristic
2354C2#546×D6111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2424C2
hypercenter#2424D61
hypocenterC61C2×#2424
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#121×D61C2semidirect
2. C2×#121×D61C2semidirect
3. C2×#120×D61C2semidirect
4. C2×#120×D61C2semidirect
5. C2×C4×D4×D61C2semidirect
6. C22×C22⋊C4×D61C2semidirect
7. #21449362C2semidirect
8. #21449361C2semidirect
9. #21449360C2semidirect
10. #21449359C2semidirect
11. #21449358C2semidirect
12. #21449357C2semidirect
13. #21449356C2semidirect
14. #21449355C2semidirect
15. #21449354C2semidirect
16. #21449353C2semidirect
17. #21449352C2semidirect
18. #21449351C2semidirect
19. #21449350C2semidirect
20. #21449349C2semidirect
21. #21449348C2semidirect
22. #396×D61C2semidirect
23. #394×D61C2semidirect
24. #394×D61C2semidirect
25. #392×D61C2semidirect
26. #390×D61C2semidirect
27. #388×D61C2semidirect
28. #386×D61C2semidirect
29. #386×D61C2semidirect
30. #385×D61C2semidirect
31. C61×#2424C2semidirect
39. C22×D4×D61C22semidirect
42. C23×C4×D61C22semidirect
43. C2×#14519752C22semidirect
44. C2×#14519752C22semidirect
45. C2×#14519751C22semidirect
46. C2×#14519751C22semidirect
47. C2×#14519750C22semidirect
48. C2×#14519750C22semidirect
49. C2×#14519750C22semidirect
50. C2×#14519750C22semidirect
51. C2×#14519749C22semidirect
52. C2×#14519749C22semidirect
53. C2×#14519749C22semidirect
54. C2×#14519749C22semidirect
55. C2×#14519748C22semidirect
56. C2×#14519748C22semidirect
59. C2×#14519747C22semidirect
60. C2×#14519747C22semidirect
61. C2×#14519747C22semidirect
62. C2×#14519747C22semidirect
63. C2×#14519747C22semidirect
64. C2×#14519747C22semidirect
65. C2×#14519746C22semidirect
66. C2×#14519746C22semidirect
67. C2×#14519745C22semidirect
68. C2×#14519745C22semidirect
69. C2×#14519745C22semidirect
70. C2×#14519745C22semidirect
71. C2×#14519745C22semidirect
72. C2×#14519745C22semidirect
75. C2×C4×D244C22semidirect
76. C2×D4×Dic61C22semidirect
77. C2×#14519739C22semidirect
78. C2×C4×C22⋊D61C22semidirect
79. C2×C4×C22⋊D61C22semidirect
80. C2×#14519737C22semidirect
81. C2×#14519737C22semidirect
83. C2×C4⋊C4×D61C22semidirect
84. C2×C4⋊C4×D61C22semidirect
85. C2×C4⋊C4×D61C22semidirect
86. C2×C4⋊C4×D61C22semidirect
87. C22×C22⋊Dic61C22semidirect
88. C22×#11758198C22semidirect
89. C22×#11758198C22semidirect
101. C2×C22⋊C4×D61C22semidirect
102. C2×C22⋊C4×D61C22semidirect
103. C2×C22⋊C4×D61C22semidirect
104. C2×C22⋊C4×D61C22semidirect
105. C2×C22⋊C4×D61C22semidirect
106. C2×C22⋊C4×D61C22semidirect
107. C2×C22⋊C4×D61C22semidirect
108. C2×C22⋊C4×D61C22semidirect
109. C2×C22⋊C4×D61C22semidirect
110. C2×C42×D61C22semidirect
111. #16839686C22semidirect
112. #16839685C22semidirect
113. #16839685C22semidirect
114. #16839685C22semidirect
115. #16839684C22semidirect
116. #16839684C22semidirect
117. #16839684C22semidirect
118. #16839680C22semidirect
119. #16839680C22semidirect
120. #16839679C22semidirect
121. #16839679C22semidirect
122. #16839678C22semidirect
123. #16839678C22semidirect
124. #16839678C22semidirect
125. #16839678C22semidirect
126. #16839677C22semidirect
127. #16839677C22semidirect
128. #16839677C22semidirect
129. #16839677C22semidirect
130. #16839676C22semidirect
131. #16839676C22semidirect
132. #16839672C22semidirect
133. #16839671C22semidirect
134. #16839671C22semidirect
135. #16839671C22semidirect
136. #16839670C22semidirect
137. #16839670C22semidirect
138. #16839670C22semidirect
139. #16839665C22semidirect
140. #16839664C22semidirect
141. #16839663C22semidirect
142. #16839662C22semidirect
143. #16839662C22semidirect
144. #16839662C22semidirect
145. #16839662C22semidirect
146. #16839656C22semidirect
147. #16839655C22semidirect
148. #16839654C22semidirect
149. #16839653C22semidirect
150. #16839652C22semidirect
151. #16839651C22semidirect
152. #16839650C22semidirect
153. #16839642C22semidirect
154. #16839642C22semidirect
155. #16839641C22semidirect
156. #16839641C22semidirect
157. #16839640C22semidirect
158. #16839640C22semidirect
159. #16839640C22semidirect
160. #16839640C22semidirect
161. #16839639C22semidirect
162. #16839639C22semidirect
163. #16839638C22semidirect
164. #16839638C22semidirect
165. #16839638C22semidirect
166. #16839638C22semidirect
167. #16839637C22semidirect
168. #16839636C22semidirect
169. #16839636C22semidirect
170. #16839635C22semidirect
171. #16839634C22semidirect
172. #16839633C22semidirect
173. #16839633C22semidirect
174. #95×D61C22semidirect
175. #95×D61C22semidirect
176. #95×D61C22semidirect
177. #95×D61C22semidirect
178. C2×#121×C61C22semidirect
179. C2×#121×C61C22semidirect
180. C2×#120×C61C22semidirect
181. C2×#120×C61C22semidirect
182. C2×C4×D4×C61C22semidirect
183. C22×C22⋊C4×C61C22semidirect
184. C61×#396C22semidirect
185. C61×#394C22semidirect
186. C61×#394C22semidirect
187. C61×#392C22semidirect
188. C61×#390C22semidirect
189. C61×#388C22semidirect
190. C61×#386C22semidirect
191. C61×#386C22semidirect
192. C61×#385C22semidirect
214. C22×D244C23semidirect
227. C22×C22⋊D61C23semidirect
228. C22×C22⋊D61C23semidirect
249. C2×D4×D61D4semidirect
252. C23×Dic61C23semidirect
276. C22×C4×D61C23semidirect
277. C22×C4×D61C23semidirect
313. C2×C4⋊Dic61C23semidirect
314. C2×C4⋊Dic61C23semidirect
315. C2×C4⋊Dic61C23semidirect
316. C2×C4⋊Dic61C23semidirect
317. C2×#11758196C23semidirect
318. C2×#11758196C23semidirect
319. C2×#11758196C23semidirect
320. C2×#11758196C23semidirect
321. C2×#11758196C23semidirect
322. C2×#11758196C23semidirect
323. C2×#11758196C23semidirect
324. C2×#11758196C23semidirect
340. C2×C22⋊Dic61C23semidirect
341. C2×C22⋊Dic61C23semidirect
342. C2×C22⋊Dic61C23semidirect
343. C2×C22⋊Dic61C23semidirect
344. C2×C22⋊Dic61C23semidirect
367. C2×#11758198C23semidirect
368. C2×#11758198C23semidirect
369. C2×#11758198C23semidirect
370. C2×#11758198C23semidirect
371. C2×#11758198C23semidirect
372. C2×#11758198C23semidirect
373. C2×#11758198C23semidirect
374. C2×#11758198C23semidirect
375. C2×#11758198C23semidirect
376. C2×#11758198C23semidirect
394. C22⋊C4×D61D4semidirect
395. C22⋊C4×D61D4semidirect
396. C2×C4×Dic61C23semidirect
397. C2×C4×Dic61C23semidirect
398. C2×C4×Dic61C23semidirect
400. #14519684C23semidirect
401. #14519684C23semidirect
402. #14519684C23semidirect
403. #14519684C23semidirect
404. #14519684C23semidirect
405. #14519684C23semidirect
406. #14519684C23semidirect
407. #14519684C23semidirect
408. #14519684C23semidirect
409. #14519684C23semidirect
410. #14519684C23semidirect
411. #14519684C23semidirect
419. C22×D4×C61C23semidirect
422. C23×C4×C61C23semidirect
428. C2×C4⋊C4×C61C23semidirect
429. C2×C4⋊C4×C61C23semidirect
430. C2×C4⋊C4×C61C23semidirect
431. C2×C4⋊C4×C61C23semidirect
443. C2×C22⋊C4×C61C23semidirect
444. C2×C22⋊C4×C61C23semidirect
445. C2×C22⋊C4×C61C23semidirect
446. C2×C22⋊C4×C61C23semidirect
447. C2×C22⋊C4×C61C23semidirect
448. C2×C42×C61C23semidirect
449. #95×C61C23semidirect
450. #95×C61C23semidirect
451. #95×C61C23semidirect
452. #95×C61C23semidirect
554. C2×D4×C61C2×D4semidirect
614. C2×C22⋊D61C2×D4semidirect
615. C2×C22⋊D61C2×D4semidirect
662. C2×D244C2×D4semidirect
731. C22⋊C4×C61C2×D4semidirect
732. C22⋊C4×C61C2×D4semidirect
747. C22⋊Dic61C2×D4semidirect
748. C22⋊Dic61C2×D4semidirect
775. #11758198C2×D4semidirect
776. #11758198C2×D4semidirect
777. #11758198C2×D4semidirect
778. #11758198C2×D4semidirect
922. C22×D61#121semidirect
1082. C22×C61C2×#121semidirect
1133. C2×D61C2×#121semidirect
1181. #2424D61direct (N × H)
1208. D61#2424direct (N × H)
1236. C2×#121C2×D61semidirect
1237. C2×#121C2×D61semidirect
1254. C2×#120C2×D61semidirect
1255. C2×#120C2×D61semidirect
1264. C2×C4×D4C2×D61semidirect
1292. C22×C22⋊C4C2×D61semidirect
1301. #396C2×D61semidirect
1316. #394C2×D61semidirect
1317. #394C2×D61semidirect
1325. #392C2×D61semidirect
1333. #390C2×D61semidirect
1341. #388C2×D61semidirect
1356. #386C2×D61semidirect
1357. #386C2×D61semidirect
1365. #385C2×D61semidirect
1370. C61C2×#2424semidirect
1435. C22×D4C22×D61semidirect
1466. C23×C4C22×D61semidirect
1523. C2×C4⋊C4C22×D61semidirect
1524. C2×C4⋊C4C22×D61semidirect
1525. C2×C4⋊C4C22×D61semidirect
1526. C2×C4⋊C4C22×D61semidirect
1605. C2×C22⋊C4C22×D61semidirect
1606. C2×C22⋊C4C22×D61semidirect
1607. C2×C22⋊C4C22×D61semidirect
1608. C2×C22⋊C4C22×D61semidirect
1609. C2×C22⋊C4C22×D61semidirect
1614. C2×C42C22×D61semidirect
1627. #95C22×D61semidirect
1628. #95C22×D61semidirect
1629. #95C22×D61semidirect
1630. #95C22×D61semidirect
1802. C2×D4D4×D61semidirect
1966. C22⋊C4D4×D61semidirect
1967. C22⋊C4D4×D61semidirect
2309. C22#121×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D612
C2×#120×D612
C2×C4×D4×D612
C22×C22⋊C4×D612
#214493622
#214493612
#214493602
#214493592
#214493582
#214493572
#214493562
#214493552
#214493542
#214493532
#214493522
#214493512
#214493502
#214493492
#214493482
#396×D612
#394×D612
#392×D612
#390×D612
#388×D612
#386×D612
#385×D612
C61×#24242
C2×#242461