Finite Group Databasebeta

← #29886757

Subgroups — #29886757

Order 15616.

4062 conjugacy classes of subgroups.

The subgroup lattice has 2148 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840348C211yesmaximal, characteristic, complemented
2C2×#120×D61C211yesmaximal, characteristic, complemented
3#21454097C211yesmaximal, characteristic, complemented
4#21454095C211yesmaximal, characteristic, complemented
5#21452217C211yesmaximal, characteristic, complemented
6#21452215C211yesmaximal, characteristic, complemented
7#21452212C211yesmaximal, characteristic, complemented
8#21452210C211yesmaximal, characteristic, complemented
9#21452143C211yesmaximal, characteristic, complemented
10#21452141C211yesmaximal, characteristic, complemented
11#21452138C211yesmaximal, characteristic, complemented
12#21452044C211yesmaximal, characteristic, complemented
13#21452043C211yesmaximal, characteristic, complemented
14#21452042C211yesmaximal, characteristic, complemented
15#21452041C211yesmaximal, characteristic, complemented
16#21452038C211yesmaximal, characteristic, complemented
17#21452037C211yesmaximal, characteristic, complemented
18#21452033C211yesmaximal, characteristic, complemented
19#21452031C211yesmaximal, characteristic, complemented
20#21451532C211yesmaximal, characteristic, complemented
21#21451530C211yesmaximal, characteristic, complemented
22#21450971C211yesmaximal, characteristic, complemented
23#21450748C211yesmaximal, characteristic, complemented
24#21450710C211yesmaximal, characteristic, complemented
25#21450707C211yesmaximal, characteristic, complemented
26#21449469C211yesmaximal, characteristic, complemented
27#21449451C211yesmaximal, characteristic, complemented
28#21449171C211yesmaximal, characteristic, complemented
29#21449170C211yesmaximal, characteristic, complemented
30#21448413C211yesmaximal, characteristic, complemented
31C61×#2678C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36#16840348—28no—
37C2×#14519773C2211yescharacteristic, complemented
38C2×#14519773C2211yescharacteristic, complemented
39C2×#14519772C2211yescharacteristic, complemented
40C2×#14519770C2211yescharacteristic, complemented
41C2×#14519765C2211yescharacteristic, complemented
42C2×#14519764C2211yescharacteristic, complemented
43C2×#14519763C2211yescharacteristic, complemented
44C2×#14519763C2211yescharacteristic, complemented
45C2×#14519762C2211yescharacteristic, complemented
46C2×#14519762C2211yescharacteristic, complemented
47C2×#14519759C2211yescharacteristic, complemented
48C2×#14519757C2211yescharacteristic, complemented
49C2×#14519751C2211yescharacteristic, complemented
50C2×#14519751C2211yescharacteristic, complemented
51C2×#14519750C2211yescharacteristic, complemented
52C2×#14519750C2211yescharacteristic, complemented
53C2×#14519750C2211yescharacteristic, complemented
54C2×#14519748C2211yescharacteristic, complemented
55C2×#14519747C2211yescharacteristic
56C2×#14519747C2211yescharacteristic
57C2×#14519747C2211yescharacteristic
58C2×#14519747C2211yescharacteristic
59C2×#14519747C2211yescharacteristic
60C2×#14519747C2211yescharacteristic
61C2×#14519747C2211yescharacteristic, complemented
62C2×#14519747C2211yescharacteristic, complemented
63C2×#14519747C2211yescharacteristic, complemented
64C2×#14519747C2211yescharacteristic, complemented
65C2×#14519746C2211yescharacteristic
66C2×#14519746C2211yescharacteristic, complemented
67C2×#14519745C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×#14519745C2211yescharacteristic
71C2×#14519745C2211yescharacteristic
72C2×#14519745C2211yescharacteristic
73C2×#14519745C2211yescharacteristic, complemented
74C2×#14519745C2211yescharacteristic, complemented
75C2×#14519745C2211yescharacteristic, complemented
76C2×#14519745C2211yescharacteristic, complemented
77#120×D61—28no—
78C2×#14519739C2211yescharacteristic, complemented
79C2×C4×C22⋊D61C2211yescharacteristic, complemented
80C2×C22⋊C4×D61C2211yescharacteristic
81C2×C22⋊C4×D61C2211yescharacteristic
82C2×C22⋊C4×D61C2211yescharacteristic
83#16839698C2211yescharacteristic, complemented
84#16839697C2211yescharacteristic, complemented
85#16839688C2211yescharacteristic, complemented
86#16839686C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839680C2211yescharacteristic, complemented
90#16839679C2211yescharacteristic, complemented
91#16839679C2211yescharacteristic, complemented
92#16839679C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839678C2211yescharacteristic, complemented
99#16839678C2211yescharacteristic, complemented
100#16839677C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839677C2211yescharacteristic, complemented
105#16839676C2211yescharacteristic, complemented
106#16839676C2211yescharacteristic, complemented
107#16839675C2211yescharacteristic, complemented
108#16839674C2211yescharacteristic, complemented
109#16839672C2211yescharacteristic, complemented
110#16839672C2211yescharacteristic, complemented
111#16839672C2211yescharacteristic, complemented
112#16839671C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic, complemented
114#16839671C2211yescharacteristic, complemented
115#16839671C2211yescharacteristic, complemented
116#16839671C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839670C2211yescharacteristic, complemented
122#16839670C2211yescharacteristic, complemented
123#16839670C2211yescharacteristic, complemented
124#16839670C2211yescharacteristic, complemented
125#16839665C2211yescharacteristic, complemented
126#16839664C2211yescharacteristic, complemented
127#16839663C2211yescharacteristic, complemented
128#16839663C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839662C2211yescharacteristic, complemented
131#16839662C2211yescharacteristic, complemented
132#16839662C2211yescharacteristic, complemented
133#16839662C2211yescharacteristic, complemented
134#16839662C2211yescharacteristic, complemented
135#16839656C2211yescharacteristic, complemented
136#16839656C2211yescharacteristic, complemented
137#16839655C2211yescharacteristic, complemented
138#16839655C2211yescharacteristic, complemented
139#16839655C2211yescharacteristic, complemented
140#16839654C2211yescharacteristic, complemented
141#16839654C2211yescharacteristic, complemented
142#16839654C2211yescharacteristic, complemented
143#16839654C2211yescharacteristic, complemented
144#16839653C2211yescharacteristic, complemented
145#16839652C2211yescharacteristic, complemented
146#16839652C2211yescharacteristic, complemented
147#16839651C2211yescharacteristic, complemented
148#16839650C2211yescharacteristic, complemented
149#16839650C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic, complemented
151#16839640C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839624C2211yescharacteristic, complemented
154#16839624C2211yescharacteristic, complemented
155#16839621C2211yescharacteristic, complemented
156#16839619C2211yescharacteristic, complemented
157#16839618C2211yescharacteristic, complemented
158#16839617C2211yescharacteristic
159#16839617C2211yescharacteristic
160#16839617C2211yescharacteristic
161#16839617C2211yescharacteristic
162#16839617C2211yescharacteristic
163#16839617C2211yescharacteristic
164#16839617C2211yescharacteristic, complemented
165#16839617C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172C4×#11758198C2211yescharacteristic, complemented
173#16839609C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#120×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#390C2211yescharacteristic, complemented
185C61×#390C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C61×#379C2211yescharacteristic, complemented
189C24×D61—24no—
190C24×D61—42no—
191C24×D61—42no—
192C24×D61—42no—
193C24×D61—42no—
194C24×D61—42no—
195C24×D61—42no—
196C24×D61C2311yescharacteristic
197C24×D61C2311yescharacteristic
198C24×D61C2311yescharacteristic
199C24×D61C2311yescharacteristic
200C24×D61C2311yescharacteristic
201C24×D61C2311yescharacteristic
202C24×D61C2311yescharacteristic
203C22×Dic122C2311yescharacteristic, complemented
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×D244C2311yescharacteristic, complemented
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C22×C22⋊D61C2311yescharacteristic
217C22×C22⋊D61C2311yescharacteristic
218C22×C22⋊D61C2311yescharacteristic
219C22×C22⋊D61C2311yescharacteristic
220C22×C22⋊D61C2311yescharacteristic
221C22×C22⋊D61C2311yescharacteristic
222C22×C22⋊D61C2311yescharacteristic
223C22×C22⋊D61C2311yescharacteristic
224C22×C22⋊D61C2311yescharacteristic
225C22×C22⋊D61C2311yescharacteristic, complemented
226C22×C22⋊D61C2311yescharacteristic, complemented
227C22×C22⋊D61C2311yescharacteristic, complemented
228C2×D4×D61—24no—
229C2×D4×D61—24no—
230C2×D4×D61—24no—
231C2×D4×D61—42no—
232C2×D4×D61—42no—
233C2×D4×D61—42no—
234C2×D4×D61—42no—
235C2×D4×D61—42no—
236C2×D4×D61—42no—
237C22×C4×D61C2311yescharacteristic
238C22×C4×D61C2311yescharacteristic
239C22×C4×D61C2311yescharacteristic
240C22×C4×D61C2311yescharacteristic, complemented
241#14519773—42no—
242#14519773—42no—
243#14519772—24no—
244#14519770—24no—
245#14519765—42no—
246#14519764—42no—
247#14519763—24no—
248#14519763—24no—
249#14519762—24no—
250#14519762—42no—
251#14519759—42no—
252#14519757—24no—
253#14519751—24no—
254#14519751—42no—
255#14519750—24no—
256#14519750—42no—
257#14519750—42no—
258#14519748—24no—
259#14519747—24no—
260#14519747—24no—
261#14519747—24no—
262#14519747—24no—
263#14519747—42no—
264#14519747—42no—
265#14519747—42no—
266#14519747—42no—
267#14519747—42no—
268#14519747—42no—
269#14519746—24no—
270#14519746—42no—
271#14519745—24no—
272#14519745—24no—
273#14519745—24no—
274#14519745—24no—
275#14519745—42no—
276#14519745—42no—
277#14519745—42no—
278#14519745—42no—
279#14519745—42no—
280#14519745—42no—
281#14519739—24no—
282C4×C22⋊D61—24no—
283C2×C4⋊Dic61C2311yescharacteristic, complemented
284C2×C4⋊Dic61C2311yescharacteristic, complemented
285C2×C4⋊Dic61C2311yescharacteristic, complemented
286C2×C4⋊Dic61C2311yescharacteristic, complemented
287C2×#11758196C2311yescharacteristic, complemented
288C2×#11758196C2311yescharacteristic, complemented
289C2×#11758196C2311yescharacteristic, complemented
290C2×#11758196C2311yescharacteristic, complemented
291C2×#11758196C2311yescharacteristic, complemented
292C2×#11758196C2311yescharacteristic, complemented
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic, complemented
306C2×C22⋊Dic61C2311yescharacteristic, complemented
307C2×C22⋊Dic61C2311yescharacteristic, complemented
308C2×C22⋊Dic61C2311yescharacteristic, complemented
309C2×C22⋊Dic61C2311yescharacteristic, complemented
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×#11758198C2311yescharacteristic
337C2×#11758198C2311yescharacteristic
338C2×#11758198C2311yescharacteristic
339C2×#11758198C2311yescharacteristic
340C2×#11758198C2311yescharacteristic, complemented
341C2×#11758198C2311yescharacteristic, complemented
342C2×#11758198C2311yescharacteristic, complemented
343C2×#11758198C2311yescharacteristic, complemented
344C2×#11758198C2311yescharacteristic, complemented
345C2×#11758198C2311yescharacteristic, complemented
346C2×#11758198C2311yescharacteristic, complemented
347C2×#11758198C2311yescharacteristic, complemented
348C2×#11758198C2311yescharacteristic, complemented
349C2×#11758198C2311yescharacteristic, complemented
350C22⋊C4×D61—24no—
351C22⋊C4×D61—24no—
352C22⋊C4×D61D418yescomplemented
353C2×C4×Dic61C2311yescharacteristic, complemented
354C2×C4×Dic61C2311yescharacteristic, complemented
355C2×C4×Dic61C2311yescharacteristic, complemented
356C2×C4×Dic61C2311yescharacteristic, complemented
357C2×C4×Dic61C2311yescharacteristic, complemented
358#14519684C2311yescharacteristic, complemented
359#14519684C2311yescharacteristic, complemented
360#14519684C2311yescharacteristic, complemented
361#14519684C2311yescharacteristic, complemented
362#14519684C2311yescharacteristic, complemented
363#14519684C2311yescharacteristic, complemented
364#14519684C2311yescharacteristic, complemented
365#14519684C2311yescharacteristic, complemented
366#14519684C2311yescharacteristic, complemented
367#14519684C2311yescharacteristic, complemented
368#14519684C2311yescharacteristic, complemented
369#14519684C2311yescharacteristic, complemented
370C25×C61C2311yescharacteristic
371C22×D4×C61C2311yescharacteristic
372C22×D4×C61C2311yescharacteristic
373C22×D4×C61C2311yescharacteristic
374C22×D4×C61C2311yescharacteristic
375C22×D4×C61C2311yescharacteristic
376C22×D4×C61C2311yescharacteristic
377C22×D4×C61C2311yescharacteristic, complemented
378C23×C4×C61C2311yescharacteristic, complemented
379#123×C61—24no—
380#121×C61—42no—
381#120×C61—24no—
382#120×C61—42no—
383C2×C4⋊C4×C61C2311yescharacteristic, complemented
384C2×C4⋊C4×C61C2311yescharacteristic, complemented
385C2×C4⋊C4×C61C2311yescharacteristic, complemented
386C2×C4⋊C4×C61C2311yescharacteristic, complemented
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C22⋊C4×C61C2311yescharacteristic
393C2×C22⋊C4×C61C2311yescharacteristic
394C2×C22⋊C4×C61C2311yescharacteristic
395C2×C22⋊C4×C61C2311yescharacteristic
396C2×C22⋊C4×C61C2311yescharacteristic
397C2×C22⋊C4×C61C2311yescharacteristic
398C2×C22⋊C4×C61C2311yescharacteristic
399C2×C22⋊C4×C61C2311yescharacteristic, complemented
400C2×C22⋊C4×C61C2311yescharacteristic, complemented
401C2×C22⋊C4×C61C2311yescharacteristic, complemented
402C2×C22⋊C4×C61C2311yescharacteristic, complemented
403C2×C22⋊C4×C61C2311yescharacteristic, complemented
404C2×C42×C61C2311yescharacteristic, complemented
405#95×C61C2311yescharacteristic, complemented
406#95×C61C2311yescharacteristic, complemented
407#95×C61C2311yescharacteristic, complemented
408#95×C61C2311yescharacteristic, complemented
409C24×C61—22no—
410C24×C61—22no—
411C24×C61—22no—
412C24×C61—41no—
413C24×C61—41no—
414C24×C61—41no—
415C24×C61—41no—
416C24×C61C2411yescharacteristic
417C24×C61C2411yescharacteristic
418C24×C61C2411yescharacteristic
419C24×C61C2411yescharacteristic
420C24×C61C2411yescharacteristic
421C23×D61—22no—
422C23×D61—22no—
423C23×D61—22no—
424C23×D61—22no—
425C23×D61—22no—
426C23×D61—22no—
427C23×D61—22no—
428C23×D61—22no—
429C23×D61—22no—
430C23×D61—22no—
431C23×D61—22no—
432C23×D61—22no—
433C23×D61—22no—
434C23×D61—22no—
435C23×D61—22no—
436C23×D61—22no—
437C23×D61—22no—
438C23×D61—22no—
439C23×D61—22no—
440C23×D61—22no—
441C23×D61—22no—
442C23×D61—22no—
443C23×D61—22no—
444C23×D61—22no—
445C23×D61—41no—
446C23×D61—41no—
447C23×D61—41no—
448C23×D61—41no—
449C23×D61—41no—
450C23×D61—41no—
451C23×D61—41no—
452C23×D61—41no—
453C23×D61—41no—
454C23×D61—41no—
455C23×D61—41no—
456C23×D61—41no—
457C23×D61—41no—
458C23×D61—41no—
459C23×D61—41no—
460C23×D61—41no—
461C23×D61—41no—
462C23×D61—41no—
463C23×D61—41no—
464C23×D61—41no—
465C23×D61—41no—
466C23×D61—41no—
467C23×D61—41no—
468C23×D61—41no—
469C23×D61—416no—
470C23×D61—416no—
471C23×D61—416no—
472C23×D61—416no—
473C23×D61—416no—
474C23×D61—416no—
475C23×D61—416no—
476C23×D61C2×D414yes—
477C23×D61C2411yescharacteristic
478C23×D61C2411yescharacteristic
479C23×D61C2411yescharacteristic
480C23×D61C2411yescharacteristic
481C23×D61C2411yescharacteristic
482C23×D61C2411yescharacteristic
483C2×D4×C61—22no—
484C2×D4×C61—22no—
485C2×D4×C61—22no—
486C2×D4×C61—22no—
487C2×D4×C61—22no—
488C2×D4×C61—22no—
489C2×D4×C61—22no—
490C2×D4×C61—22no—
491C2×D4×C61—41no—
492C2×D4×C61—41no—
493C2×D4×C61—41no—
494C2×D4×C61—41no—
495C2×D4×C61—41no—
496C2×D4×C61—41no—
497C2×D4×C61—41no—
498C2×D4×C61—41no—
499C2×D4×C61—41no—
500C2×D4×C61—41no—
501C2×D4×C61—41no—
502C2×D4×C61—41no—
503C2×D4×C61—41no—
504C22×C4×C61—22no—
505C22×C4×C61—41no—
506C22×C4×C61—41no—
507C22×C4×C61C2411yescharacteristic
508C22×C4×C61C2411yescharacteristic
509C22×C4×C61C2411yescharacteristic
510C22×C4×C61C2411yescharacteristic
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C2×C22⋊D61—22no—
518C2×C22⋊D61—22no—
519C2×C22⋊D61—22no—
520C2×C22⋊D61—22no—
521C2×C22⋊D61—22no—
522C2×C22⋊D61—22no—
523C2×C22⋊D61—22no—
524C2×C22⋊D61—22no—
525C2×C22⋊D61—22no—
526C2×C22⋊D61—22no—
527C2×C22⋊D61—22no—
528C2×C22⋊D61—22no—
529C2×C22⋊D61—22no—
530C2×C22⋊D61—22no—
531C2×C22⋊D61—22no—
532C2×C22⋊D61—22no—
533C2×C22⋊D61—22no—
534C2×C22⋊D61—22no—
535C2×C22⋊D61—22no—
536C2×C22⋊D61—22no—
537C2×C22⋊D61—41no—
538C2×C22⋊D61—41no—
539C2×C22⋊D61—41no—
540C2×C22⋊D61—41no—
541C2×C22⋊D61—41no—
542C2×C22⋊D61—41no—
543C2×C22⋊D61—41no—
544C2×C22⋊D61—41no—
545C2×C22⋊D61—41no—
546C2×C22⋊D61—41no—
547C2×C22⋊D61—41no—
548C2×C22⋊D61—41no—
549C2×C22⋊D61—41no—
550C2×C22⋊D61—41no—
551C2×C22⋊D61—41no—
552C2×C22⋊D61—41no—
553C2×C22⋊D61—41no—
554C2×C22⋊D61—41no—
555C2×C22⋊D61—41no—
556C2×C22⋊D61—41no—
557C2×C22⋊D61—41no—
558C2×C22⋊D61—41no—
559C2×C22⋊D61—41no—
560C2×C22⋊D61—41no—
561C2×C22⋊D61—41no—
562C2×C22⋊D61—41no—
563C2×C22⋊D61—41no—
564C2×C22⋊D61—41no—
565C22×Dic61C2411yescharacteristic
566C22×Dic61C2411yescharacteristic
567C22×Dic61C2411yescharacteristic
568C22×Dic61C2411yescharacteristic
569C22×Dic61C2411yescharacteristic
570C22×Dic61C2411yescharacteristic
571C22×Dic61C2411yescharacteristic
572C22×Dic61C2411yescharacteristic
573C22×Dic61C2411yescharacteristic
574C22×Dic61C2411yescharacteristic
575D4×D61—416no—
576D4×D61—416no—
577D4×D61—416no—
578C2×D244—22no—
579C2×D244—22no—
580C2×D244—22no—
581C2×D244—22no—
582C2×D244—22no—
583C2×D244—22no—
584C2×D244—22no—
585C2×D244—22no—
586C2×D244—22no—
587C2×D244—22no—
588C2×D244—22no—
589C2×D244—41no—
590C2×D244—41no—
591C2×D244—41no—
592C2×D244—41no—
593C2×D244—41no—
594C2×D244—41no—
595C2×D244—41no—
596C2×D244—41no—
597C2×D244—41no—
598C2×D244—41no—
599C2×D244—41no—
600C2×D244—41no—
601C2×D244—41no—
602C2×C4×D61—22no—
603C2×C4×D61—22no—
604C2×C4×D61—22no—
605C2×C4×D61—22no—
606C2×C4×D61—41no—
607C2×C4×D61—41no—
608C2×C4×D61—41no—
609C2×C4×D61—41no—
610C2×C4×D61—41no—
611C2×C4×D61—41no—
612C2×C4×D61C2×D414yes—
613C2×C4×D61C2×D414yes—
614C2×Dic122—22no—
615C2×Dic122—41no—
616C2×Dic122—41no—
617C4⋊C4×C61—22no—
618C4⋊C4×C61—22no—
619C4⋊C4×C61—41no—
620C4⋊C4×C61—41no—
621C22⋊C4×C61—22no—
622C22⋊C4×C61—22no—
623C22⋊C4×C61—22no—
624C22⋊C4×C61—22no—
625C22⋊C4×C61—22no—
626C22⋊C4×C61—22no—
627C22⋊C4×C61—41no—
628C22⋊C4×C61—41no—
629C22⋊C4×C61—41no—
630C22⋊C4×C61—41no—
631C22⋊C4×C61—41no—
632C22⋊C4×C61—41no—
633C22⋊C4×C61—41no—
634C22⋊C4×C61—41no—
635C22⋊C4×C61—41no—
636C22⋊C4×C61—41no—
637C22⋊C4×C61C2×D414yes—
638C42×C61—41no—
639C22⋊Dic61—22no—
640C22⋊Dic61—22no—
641C22⋊Dic61—22no—
642C22⋊Dic61—22no—
643C22⋊Dic61—22no—
644C22⋊Dic61—22no—
645C22⋊Dic61—41no—
646C22⋊Dic61—41no—
647C22⋊Dic61—41no—
648C22⋊Dic61—41no—
649C22⋊Dic61—41no—
650C22⋊Dic61—41no—
651C22⋊Dic61—41no—
652C22⋊Dic61—41no—
653C22⋊Dic61—41no—
654C22⋊Dic61—41no—
655C22⋊Dic61C2×D414yes—
656#11758198—22no—
657#11758198—22no—
658#11758198—22no—
659#11758198—22no—
660#11758198—22no—
661#11758198—22no—
662#11758198—22no—
663#11758198—22no—
664#11758198—22no—
665#11758198—22no—
666#11758198—22no—
667#11758198—22no—
668#11758198—22no—
669#11758198—22no—
670#11758198—22no—
671#11758198—22no—
672#11758198—22no—
673#11758198—22no—
674#11758198—41no—
675#11758198—41no—
676#11758198—41no—
677#11758198—41no—
678#11758198—41no—
679#11758198—41no—
680#11758198—41no—
681#11758198—41no—
682#11758198—41no—
683#11758198—41no—
684#11758198—41no—
685#11758198—41no—
686#11758198—41no—
687#11758198—41no—
688#11758198—41no—
689#11758198—41no—
690#11758198—41no—
691#11758198—41no—
692#11758198—41no—
693#11758198—41no—
694#11758198C2×D414yes—
695#11758198C2×D414yes—
696C4⋊Dic61—22no—
697C4⋊Dic61—22no—
698C4⋊Dic61—41no—
699C4⋊Dic61—41no—
700#11758196—22no—
701#11758196—22no—
702#11758196—41no—
703#11758196—41no—
704#11758196—41no—
705#11758196—41no—
706C4×Dic61—22no—
707C4×Dic61—22no—
708C4×Dic61—41no—
709C4×Dic61—41no—
710C4×Dic61—41no—
711C23×C61—21no—
712C23×C61—21no—
713C23×C61—21no—
714C23×C61—21no—
715C23×C61—21no—
716C23×C61—21no—
717C23×C61—21no—
718C23×C61—21no—
719C23×C61—21no—
720C23×C61—21no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—21no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61—21no—
727C23×C61—21no—
728C23×C61—21no—
729C23×C61—21no—
730C23×C61—21no—
731C23×C61—21no—
732C23×C61—21no—
733C23×C61—21no—
734C23×C61—21no—
735C23×C61—21no—
736C23×C61—21no—
737C23×C61—21no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61—21no—
742C23×C61—21no—
743C23×C61—44no—
744C23×C61—44no—
745C23×C61—44no—
746C23×C61—44no—
747C23×C61—44no—
748C23×C61—44no—
749C23×C61—44no—
750C23×C61C22×D412yes—
751C23×C61H(5,𝔽2)12yes—
752C23×C61H(5,𝔽2)12yes—
753C23×C61C2511yescharacteristic
754C22×D61—21no—
755C22×D61—21no—
756C22×D61—21no—
757C22×D61—21no—
758C22×D61—28no—
759C22×D61—28no—
760C22×D61—21no—
761C22×D61—21no—
762C22×D61—21no—
763C22×D61—21no—
764C22×D61—21no—
765C22×D61—21no—
766C22×D61—21no—
767C22×D61—21no—
768C22×D61—21no—
769C22×D61—21no—
770C22×D61—21no—
771C22×D61—21no—
772C22×D61—21no—
773C22×D61—21no—
774C22×D61—21no—
775C22×D61—21no—
776C22×D61—21no—
777C22×D61—21no—
778C22×D61—28no—
779C22×D61—21no—
780C22×D61—21no—
781C22×D61—21no—
782C22×D61—21no—
783C22×D61—21no—
784C22×D61—21no—
785C22×D61—21no—
786C22×D61—21no—
787C22×D61—21no—
788C22×D61—21no—
789C22×D61—21no—
790C22×D61—21no—
791C22×D61—21no—
792C22×D61—21no—
793C22×D61—44no—
794C22×D61—44no—
795C22×D61—44no—
796C22×D61—44no—
797C22×D61—44no—
798C22×D61—44no—
799C22×D61—44no—
800C22×D61—44no—
801C22×D61—44no—
802C22×D61—44no—
803C22×D61—44no—
804C22×D61—44no—
805C22×D61—44no—
806C22×D61—44no—
807C22×D61—44no—
808C22×D61—44no—
809C22×D61—44no—
810C22×D61—44no—
811C22×D61—44no—
812C22×D61—44no—
813C22×D61—44no—
814C22×D61—44no—
815C22×D61—44no—
816C22×D61—44no—
817C22×D61—44no—
818C22×D61—44no—
819C22×D61—44no—
820C22×D61—44no—
821C22×D61—44no—
822C22×D61—44no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—4128no—
830C22×D61—44no—
831C22×D61—44no—
832C22×D61—44no—
833C22×D61—44no—
834C22×D61—44no—
835C22×D61—44no—
836C22×D61—82no—
837C22×D61—82no—
838C22×D61—82no—
839C22×D61—82no—
840C22×D61C22×D412yes—
841C22×D61C22×D412yes—
842C22×D61H(5,𝔽2)12yes—
843C22×D61H(5,𝔽2)12yes—
844C22×D61H(5,𝔽2)12yes—
845C22×D61H(5,𝔽2)12yes—
846D4×C61—44no—
847D4×C61—44no—
848D4×C61—44no—
849D4×C61—82no—
850D4×C61—82no—
851D4×C61—82no—
852D4×C61—82no—
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—21no—
873C2×C4×C61—21no—
874C2×C4×C61—21no—
875C2×C4×C61—21no—
876C2×C4×C61—21no—
877C2×C4×C61—21no—
878C2×C4×C61—21no—
879C2×C4×C61—21no—
880C2×C4×C61—21no—
881C2×C4×C61—82no—
882C2×C4×C61C22×D412yes—
883C2×C4×C61C22×D412yes—
884C22⋊D61—44no—
885C22⋊D61—44no—
886C22⋊D61—44no—
887C22⋊D61—44no—
888C22⋊D61—44no—
889C22⋊D61—44no—
890C22⋊D61—44no—
891C22⋊D61—82no—
892C22⋊D61—82no—
893C22⋊D61—82no—
894C22⋊D61—82no—
895C22⋊D61—82no—
896C22⋊D61—82no—
897C22⋊D61—82no—
898C22⋊D61—82no—
899C22⋊D61—82no—
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—21no—
915C2×Dic61—21no—
916C2×Dic61—21no—
917C2×Dic61—21no—
918C2×Dic61—21no—
919C2×Dic61—21no—
920C2×Dic61—21no—
921C2×Dic61—21no—
922C2×Dic61—21no—
923C2×Dic61—21no—
924C2×Dic61—21no—
925C2×Dic61—21no—
926C2×Dic61—21no—
927C2×Dic61—21no—
928C2×Dic61C22×D412yes—
929C2×Dic61C22×D412yes—
930D244—44no—
931D244—44no—
932D244—44no—
933D244—44no—
934D244—82no—
935D244—82no—
936D244—82no—
937D244—82no—
938C4×D61—44no—
939C4×D61—44no—
940C4×D61—44no—
941C4×D61—82no—
942Dic122—82no—
943#36703—611nomaximal, Sylow
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—416no—
954C22×C61—41no—
955C22×C61—41no—
956C22×C61—41no—
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×C61—41no—
970C22×C61—41no—
971C22×C61—41no—
972C22×C61—41no—
973C22×C61—41no—
974C22×C61—41no—
975C22×C61—41no—
976C22×C61—41no—
977C22×C61—41no—
978C22×C61—41no—
979C22×C61—41no—
980C22×C61C23×D411yescharacteristic
981C22×C61C2×H(5,𝔽2)11yescharacteristic
982C22×C61C2×H(5,𝔽2)11yescharacteristic
983C22×C61C2×H(5,𝔽2)11yescharacteristic
984C22×C61C2×H(5,𝔽2)11yescharacteristic
985C22×C61C2×H(5,𝔽2)11yescharacteristic
986C22×C61C2×H(5,𝔽2)11yescharacteristic
987C2×D61—22no—
988C2×D61—22no—
989C2×D61—22no—
990C2×D61—22no—
991C2×D61—22no—
992C2×D61—22no—
993C2×D61—22no—
994C2×D61—22no—
995C2×D61—22no—
996C2×D61—22no—
997C2×D61—22no—
998C2×D61—22no—
999C2×D61—22no—
1000C2×D61—22no—
1001C2×D61—22no—
1002C2×D61—416no—
1003C2×D61—416no—
1004C2×D61—416no—
1005C2×D61—416no—
1006C2×D61—416no—
1007C2×D61—416no—
1008C2×D61—41no—
1009C2×D61—41no—
1010C2×D61—41no—
1011C2×D61—41no—
1012C2×D61—41no—
1013C2×D61—41no—
1014C2×D61—41no—
1015C2×D61—41no—
1016C2×D61—41no—
1017C2×D61—41no—
1018C2×D61—41no—
1019C2×D61—41no—
1020C2×D61—41no—
1021C2×D61—41no—
1022C2×D61—41no—
1023C2×D61—41no—
1024C2×D61—41no—
1025C2×D61—41no—
1026C2×D61—41no—
1027C2×D61—41no—
1028C2×D61—41no—
1029C2×D61—41no—
1030C2×D61—41no—
1031C2×D61—41no—
1032C2×D61—41no—
1033C2×D61—41no—
1034C2×D61—88no—
1035C2×D61#53514yes—
1036C4×C61—22no—
1037C4×C61—22no—
1038C4×C61—41no—
1039C4×C61—41no—
1040C4×C61—41no—
1041C4×C61—41no—
1042C4×C61—41no—
1043C4×C61—41no—
1044C4×C61—41no—
1045C4×C61—41no—
1046Dic61—22no—
1047Dic61—22no—
1048Dic61—41no—
1049Dic61—41no—
1050Dic61—41no—
1051Dic61—41no—
1052Dic61—41no—
1053Dic61—41no—
1054Dic61—41no—
1055Dic61—41no—
1056C2×#538—611no—
1057C22×#120—611no—
1058#2846—611no—
1059#2846—611no—
1060#2685—611no—
1061#2685—611no—
1062#2685—611no—
1063#2685—611no—
1064#2678—611no—
1065#2678—611no—
1066#2678—611no—
1067#2678D6111yescharacteristic, complemented
1068#2670—611no—
1069#2670—611no—
1070#2670—611no—
1071#2670—611no—
1072#2669—611no—
1073#2669—611no—
1074#2669—611no—
1075#2669—611no—
1076#2613—611no—
1077#2613—611no—
1078#2561—611no—
1079#2539—611no—
1080#2534—611no—
1081#2534—611no—
1082#2435—611no—
1083#2433—611no—
1084#2408—611no—
1085#2408—611no—
1086#2312—611no—
1087C2×C61—42no—
1088C2×C61—42no—
1089C2×C61—42no—
1090C2×C61—81no—
1091C2×C61—81no—
1092C2×C61C2×#53511yescharacteristic
1093C2×C61#348411yescharacteristic
1094C2×C61#348411yescharacteristic
1095C2×C61#353211yescharacteristic
1096C2×C61#353211yescharacteristic
1097C2×C61#353211yescharacteristic
1098C2×C61#353211yescharacteristic
1099D61—24no—
1100D61—42no—
1101D61—42no—
1102D61—42no—
1103D61—81no—
1104D61—81no—
1105C26—611no—
1106C23×D4—611no—
1107C23×D4—611no—
1108C23×D4—611no—
1109#538—1228no—
1110C2×#127—611no—
1111C2×#127—611no—
1112C2×#126—611no—
1113C2×#126—611no—
1114C2×#124—611no—
1115C2×#124—611no—
1116C2×#124—611no—
1117C2×#124—611no—
1118C2×#123—611no—
1119C2×#123—611no—
1120C2×#123—611no—
1121C2×#123C2×D6111yescharacteristic, complemented
1122C2×C22⋊Q8—611no—
1123C2×#121—611no—
1124C2×#121—611no—
1125C2×#121—611no—
1126C2×#121—611no—
1127C2×#121—611no—
1128C2×#121—611no—
1129C2×#121C2×D6111yescharacteristic, complemented
1130C2×#120—611no—
1131C2×#120—611no—
1132C2×#120—611no—
1133C2×#120—611no—
1134C2×#120—611no—
1135C2×#120—611no—
1136C2×#120—611no—
1137C2×#120—611no—
1138C2×#120—611no—
1139C2×#120—611no—
1140C2×#120—611no—
1141C2×#120—611no—
1142C2×#120—611no—
1143C2×#120—611no—
1144C2×#120—611no—
1145C2×#120—611no—
1146C2×#120—611no—
1147C2×#120—611no—
1148C2×#120—611no—
1149C2×#120—611no—
1150C2×#120—611no—
1151C2×#120—611no—
1152C2×#120—1228no—
1153C2×#120C2×D6111yescharacteristic
1154C2×#120C2×D6111yescharacteristic, complemented
1155C2×C4×D4—611no—
1156C2×C4×D4—611no—
1157C22×C22⋊C4—611no—
1158C22×C22⋊C4—611no—
1159C22×C22⋊C4—611no—
1160#399—611no—
1161#399—611no—
1162#397—611no—
1163#397C2×D6111yescharacteristic, complemented
1164#396—611no—
1165#396—611no—
1166#396—611no—
1167#396C2×D6111yescharacteristic, complemented
1168#394—611no—
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#394—611no—
1184#394—611no—
1185#394—611no—
1186#394C2×D6111yescharacteristic, complemented
1187#394C2×D6111yescharacteristic, complemented
1188#393—611no—
1189#393—611no—
1190#392—611no—
1191#392—611no—
1192#392—611no—
1193#392—611no—
1194#392—611no—
1195#392—611no—
1196#392—611no—
1197#392—611no—
1198#392—611no—
1199#392—611no—
1200#392—611no—
1201#392—611no—
1202#392—611no—
1203#392—611no—
1204#392—611no—
1205#392—611no—
1206#392C2×D6111yescharacteristic, complemented
1207#392C2×D6111yescharacteristic, complemented
1208#390—611no—
1209#390—611no—
1210#390—611no—
1211#390—611no—
1212#390—611no—
1213#390—611no—
1214#390—611no—
1215#390—611no—
1216#390—611no—
1217#390—611no—
1218#390C2×D6111yescharacteristic, complemented
1219#390C2×D6111yescharacteristic, complemented
1220#388—611no—
1221#388—611no—
1222#388—611no—
1223#388—611no—
1224#388—611no—
1225#388—611no—
1226#388—611no—
1227#388—611no—
1228#388—611no—
1229#388—611no—
1230#388—611no—
1231#388—611no—
1232#388—611no—
1233#388—611no—
1234#388—611no—
1235#388C2×D6111yescharacteristic, complemented
1236#386—611no—
1237#386—611no—
1238#386—611no—
1239#386C2×D6111yescharacteristic, complemented
1240#381—611no—
1241#381—611no—
1242#380—611no—
1243#380—611no—
1244#379—611no—
1245#379—611no—
1246#379—611no—
1247#379—611no—
1248#379—611no—
1249#379—611no—
1250#379—611no—
1251#379—611no—
1252#379—611no—
1253#379—611no—
1254#379—611no—
1255#379—611no—
1256#379—611no—
1257#379—611no—
1258#379—611no—
1259#379C2×D6111yescharacteristic, complemented
1260C4×C22⋊C4—611no—
1261C4×C22⋊C4—611no—
1262C61#3670311yescharacteristic, complemented, Sylow
1263C25—611no—
1264C25—611no—
1265C25—611no—
1266C25—611no—
1267C25—611no—
1268C25—611no—
1269C25—611no—
1270C25—1224no—
1271C25—2442no—
1272C25—2442no—
1273C25—2442no—
1274C25—2442no—
1275C25—2442no—
1276C25—2442no—
1277C25C22×D6111yescharacteristic
1278C22×Q8—611no—
1279C22×D4—611no—
1280C22×D4—611no—
1281C22×D4—611no—
1282C22×D4—611no—
1283C22×D4—611no—
1284C22×D4—611no—
1285C22×D4—611no—
1286C22×D4—611no—
1287C22×D4—611no—
1288C22×D4—611no—
1289C22×D4—611no—
1290C22×D4—611no—
1291C22×D4—611no—
1292C22×D4—611no—
1293C22×D4—611no—
1294C22×D4—611no—
1295C22×D4—611no—
1296C22×D4—611no—
1297C22×D4—611no—
1298C22×D4—611no—
1299C22×D4—611no—
1300C22×D4—611no—
1301C22×D4—611no—
1302C22×D4—611no—
1303C22×D4—1224no—
1304C22×D4—1224no—
1305C22×D4—1224no—
1306C22×D4—2442no—
1307C22×D4—2442no—
1308C22×D4—2442no—
1309C22×D4—2442no—
1310C22×D4—2442no—
1311C22×D4—2442no—
1312C22×D4C22×D6111yescharacteristic
1313C22×D4C22×D6111yescharacteristic
1314C22×D4C22×D6111yescharacteristic
1315C22×D4C22×D6111yescharacteristic
1316C22×D4C22×D6111yescharacteristic
1317C22×D4C22×D6111yescharacteristic
1318C22×D4C22×D6111yescharacteristic, complemented
1319C23×C4—611no—
1320C23×C4—611no—
1321C23×C4—611no—
1322C23×C4—611no—
1323C23×C4C22×D6111yescharacteristic, complemented
1324#127—2442no—
1325#127—2442no—
1326#126—1224no—
1327#126—1224no—
1328#124—1224no—
1329#124—1224no—
1330#124—2442no—
1331#124—2442no—
1332#123—24no—
1333#123—1224no—
1334#123—2442no—
1335#123—2442no—
1336C22⋊Q8—1224no—
1337#121—42no—
1338#121—1224no—
1339#121—1224no—
1340#121—1224no—
1341#121—2442no—
1342#121—2442no—
1343#121—2442no—
1344#120—24no—
1345#120—42no—
1346#120—1224no—
1347#120—1224no—
1348#120—1224no—
1349#120—1224no—
1350#120—1224no—
1351#120—1224no—
1352#120—1224no—
1353#120—1224no—
1354#120—1224no—
1355#120—2442no—
1356#120—2442no—
1357#120—2442no—
1358#120—2442no—
1359#120—2442no—
1360#120—2442no—
1361#120—2442no—
1362#120—2442no—
1363#120—2442no—
1364#120—2442no—
1365#120—2442no—
1366#120—2442no—
1367#120—2442no—
1368C4×D4—1224no—
1369C4×D4—1224no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4C22×D6111yescharacteristic, complemented
1381C2×C4⋊C4C22×D6111yescharacteristic, complemented
1382C2×C4⋊C4C22×D6111yescharacteristic, complemented
1383C2×C4⋊C4C22×D6111yescharacteristic, complemented
1384C2×C22⋊C4—611no—
1385C2×C22⋊C4—611no—
1386C2×C22⋊C4—611no—
1387C2×C22⋊C4—618no—
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—611no—
1416C2×C22⋊C4—611no—
1417C2×C22⋊C4—611no—
1418C2×C22⋊C4—611no—
1419C2×C22⋊C4—611no—
1420C2×C22⋊C4—611no—
1421C2×C22⋊C4—611no—
1422C2×C22⋊C4—611no—
1423C2×C22⋊C4—611no—
1424C2×C22⋊C4—611no—
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4—611no—
1427C2×C22⋊C4—611no—
1428C2×C22⋊C4—611no—
1429C2×C22⋊C4—611no—
1430C2×C22⋊C4—611no—
1431C2×C22⋊C4—611no—
1432C2×C22⋊C4—611no—
1433C2×C22⋊C4—611no—
1434C2×C22⋊C4—611no—
1435C2×C22⋊C4—611no—
1436C2×C22⋊C4—611no—
1437C2×C22⋊C4—611no—
1438C2×C22⋊C4—611no—
1439C2×C22⋊C4—611no—
1440C2×C22⋊C4—611no—
1441C2×C22⋊C4—611no—
1442C2×C22⋊C4—1224no—
1443C2×C22⋊C4—1224no—
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
1451C2×C22⋊C4C22×D6111yescharacteristic
1452C2×C22⋊C4C22×D6111yescharacteristic
1453C2×C22⋊C4C22×D6111yescharacteristic
1454C2×C22⋊C4C22×D6111yescharacteristic
1455C2×C22⋊C4C22×D6111yescharacteristic
1456C2×C22⋊C4C22×D6111yescharacteristic, complemented
1457C2×C22⋊C4C22×D6111yescharacteristic, complemented
1458C2×C22⋊C4C22×D6111yescharacteristic, complemented
1459C2×C22⋊C4C22×D6111yescharacteristic, complemented
1460C2×C22⋊C4C22×D6111yescharacteristic, complemented
1461C2×C42—611no—
1462C2×C42—611no—
1463C2×C42—611no—
1464C2×C42—611no—
1465C2×C42—611no—
1466C2×C42C22×D6111yescharacteristic, complemented
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#95—611no—
1477#95—611no—
1478#95—611no—
1479#95C22×D6111yescharacteristic, complemented
1480#95C22×D6111yescharacteristic, complemented
1481#95C22×D6111yescharacteristic, complemented
1482#95C22×D6111yescharacteristic, complemented
1483C24—22no—
1484C24—22no—
1485C24—22no—
1486C24—41no—
1487C24—41no—
1488C24—41no—
1489C24—41no—
1490C24—611no—
1491C24—611no—
1492C24—611no—
1493C24—611no—
1494C24—614no—
1495C24—611no—
1496C24—611no—
1497C24—1222no—
1498C24—1222no—
1499C24—1222no—
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—2441no—
1522C24—2441no—
1523C24—2441no—
1524C24—2441no—
1525C24—2441no—
1526C24—2441no—
1527C24—2441no—
1528C24—2441no—
1529C24—2441no—
1530C24—2441no—
1531C24—2441no—
1532C24—2441no—
1533C24—2441no—
1534C24—2441no—
1535C24—2441no—
1536C24—2441no—
1537C24—2441no—
1538C24—2441no—
1539C24—2441no—
1540C24—2441no—
1541C24—2441no—
1542C24—2441no—
1543C24—2441no—
1544C24—2441no—
1545C24—24416no—
1546C24—24416no—
1547C24—24416no—
1548C24—24416no—
1549C24—24416no—
1550C24—24416no—
1551C24—24416no—
1552C24C23×D6111yescharacteristic
1553C24C23×D6111yescharacteristic
1554C24C23×D6111yescharacteristic
1555C24C23×D6111yescharacteristic
1556C24C23×D6111yescharacteristic
1557C2×Q8—1222no—
1558C2×Q8—2441no—
1559C2×Q8—2441no—
1560C2×D4—22no—
1561C2×D4—22no—
1562C2×D4—22no—
1563C2×D4—22no—
1564C2×D4—22no—
1565C2×D4—22no—
1566C2×D4—22no—
1567C2×D4—22no—
1568C2×D4—41no—
1569C2×D4—41no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—41no—
1573C2×D4—41no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—41no—
1577C2×D4—41no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—1222no—
1582C2×D4—1222no—
1583C2×D4—1222no—
1584C2×D4—1222no—
1585C2×D4—1222no—
1586C2×D4—1222no—
1587C2×D4—1222no—
1588C2×D4—1222no—
1589C2×D4—1222no—
1590C2×D4—1222no—
1591C2×D4—1222no—
1592C2×D4—1222no—
1593C2×D4—1222no—
1594C2×D4—1222no—
1595C2×D4—1222no—
1596C2×D4—1222no—
1597C2×D4—1222no—
1598C2×D4—1222no—
1599C2×D4—1222no—
1600C2×D4—1222no—
1601C2×D4—1222no—
1602C2×D4—1222no—
1603C2×D4—1222no—
1604C2×D4—1222no—
1605C2×D4—1222no—
1606C2×D4—1222no—
1607C2×D4—1222no—
1608C2×D4—1222no—
1609C2×D4—1222no—
1610C2×D4—1222no—
1611C2×D4—1222no—
1612C2×D4—2441no—
1613C2×D4—2441no—
1614C2×D4—2441no—
1615C2×D4—2441no—
1616C2×D4—2441no—
1617C2×D4—2441no—
1618C2×D4—2441no—
1619C2×D4—2441no—
1620C2×D4—2441no—
1621C2×D4—2441no—
1622C2×D4—2441no—
1623C2×D4—2441no—
1624C2×D4—2441no—
1625C2×D4—2441no—
1626C2×D4—2441no—
1627C2×D4—2441no—
1628C2×D4—2441no—
1629C2×D4—2441no—
1630C2×D4—2441no—
1631C2×D4—2441no—
1632C2×D4—2441no—
1633C2×D4—2441no—
1634C2×D4—2441no—
1635C2×D4—2441no—
1636C2×D4—2441no—
1637C2×D4—2441no—
1638C2×D4—2441no—
1639C2×D4—2441no—
1640C2×D4—2441no—
1641C2×D4—2441no—
1642C2×D4—2441no—
1643C2×D4—2441no—
1644C2×D4—2441no—
1645C2×D4—2441no—
1646C2×D4—2441no—
1647C2×D4—2441no—
1648C2×D4—2441no—
1649C2×D4—2441no—
1650C2×D4—2441no—
1651C2×D4—2441no—
1652C2×D4—2441no—
1653C2×D4—24416no—
1654C2×D4—24416no—
1655C2×D4—24416no—
1656C22×C4—22no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—611no—
1660C22×C4—611no—
1661C22×C4—614no—
1662C22×C4—614no—
1663C22×C4—611no—
1664C22×C4—611no—
1665C22×C4—611no—
1666C22×C4—611no—
1667C22×C4—611no—
1668C22×C4—611no—
1669C22×C4—611no—
1670C22×C4—611no—
1671C22×C4—1222no—
1672C22×C4—1222no—
1673C22×C4—1222no—
1674C22×C4—1222no—
1675C22×C4—2441no—
1676C22×C4—2441no—
1677C22×C4—2441no—
1678C22×C4—2441no—
1679C22×C4—2441no—
1680C22×C4—2441no—
1681C22×C4C23×D6111yescharacteristic
1682C22×C4C23×D6111yescharacteristic
1683C22×C4C23×D6111yescharacteristic
1684C22×C4C23×D6111yescharacteristic
1685C22×C4C23×D6111yescharacteristic
1686C22×C4C23×D6111yescharacteristic
1687C22×C4C23×D6111yescharacteristic
1688C22×C4C23×D6111yescharacteristic
1689C22×C4C23×D6111yescharacteristic
1690C22×C4C23×D6111yescharacteristic
1691C4⋊C4—22no—
1692C4⋊C4—22no—
1693C4⋊C4—41no—
1694C4⋊C4—41no—
1695C4⋊C4—1222no—
1696C4⋊C4—1222no—
1697C4⋊C4—1222no—
1698C4⋊C4—1222no—
1699C4⋊C4—2441no—
1700C4⋊C4—2441no—
1701C4⋊C4—2441no—
1702C4⋊C4—2441no—
1703C4⋊C4—2441no—
1704C4⋊C4—2441no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—22no—
1708C22⋊C4—22no—
1709C22⋊C4—22no—
1710C22⋊C4—22no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—41no—
1715C22⋊C4—41no—
1716C22⋊C4—41no—
1717C22⋊C4—41no—
1718C22⋊C4—41no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—614no—
1722C22⋊C4—614no—
1723C22⋊C4—614no—
1724C22⋊C4—1222no—
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—2441no—
1749C22⋊C4—2441no—
1750C22⋊C4—2441no—
1751C22⋊C4—2441no—
1752C22⋊C4—2441no—
1753C22⋊C4—2441no—
1754C22⋊C4—2441no—
1755C22⋊C4—2441no—
1756C22⋊C4—2441no—
1757C22⋊C4—2441no—
1758C22⋊C4—2441no—
1759C22⋊C4—2441no—
1760C22⋊C4—2441no—
1761C22⋊C4—2441no—
1762C22⋊C4—2441no—
1763C22⋊C4—2441no—
1764C22⋊C4—2441no—
1765C22⋊C4—2441no—
1766C22⋊C4—2441no—
1767C22⋊C4—2441no—
1768C22⋊C4—2441no—
1769C22⋊C4—2441no—
1770C22⋊C4—2441no—
1771C22⋊C4—2441no—
1772C22⋊C4—2441no—
1773C22⋊C4—2441no—
1774C22⋊C4—2441no—
1775C22⋊C4—2441no—
1776C22⋊C4—2441no—
1777C22⋊C4—2441no—
1778C22⋊C4D4×D6114yes—
1779C42—41no—
1780C42—1222no—
1781C42—1222no—
1782C42—2441no—
1783C42—2441no—
1784C42—2441no—
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—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—21no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—44no—
1818C23—44no—
1819C23—44no—
1820C23—44no—
1821C23—44no—
1822C23—44no—
1823C23—44no—
1824C23—612no—
1825C23—612no—
1826C23—612no—
1827C23—612no—
1828C23—612no—
1829C23—612no—
1830C23—1228no—
1831C23—1228no—
1832C23—1228no—
1833C23—1221no—
1834C23—1221no—
1835C23—1221no—
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—1221no—
1859C23—1221no—
1860C23—1221no—
1861C23—1221no—
1862C23—1221no—
1863C23—1221no—
1864C23—1221no—
1865C23—1221no—
1866C23—1221no—
1867C23—1221no—
1868C23—1221no—
1869C23—4882no—
1870C23—4882no—
1871C23—4882no—
1872C23—4882no—
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—2444no—
1886C23—2444no—
1887C23—2444no—
1888C23—2444no—
1889C23—2444no—
1890C23—2444no—
1891C23—2444no—
1892C23—2444no—
1893C23—2444no—
1894C23—2444no—
1895C23—2444no—
1896C23—2444no—
1897C23—2444no—
1898C23—2444no—
1899C23—2444no—
1900C23—2444no—
1901C23—2444no—
1902C23—2444no—
1903C23—2444no—
1904C23—2444no—
1905C23—2444no—
1906C23—2444no—
1907C23—2444no—
1908C23—2444no—
1909C23—2444no—
1910C23—2444no—
1911C23—2444no—
1912C23—244128no—
1913C23—2444no—
1914C23—2444no—
1915C23—2444no—
1916C23C2×D4×D6112yes—
1917C23#1451982212yes—
1918C23#1451982312yes—
1919C23C24×D6111yescharacteristic
1920Q8—4882no—
1921D4—44no—
1922D4—44no—
1923D4—44no—
1924D4—82no—
1925D4—82no—
1926D4—82no—
1927D4—82no—
1928D4—4882no—
1929D4—4882no—
1930D4—4882no—
1931D4—4882no—
1932D4—4882no—
1933D4—4882no—
1934D4—4882no—
1935D4—4882no—
1936D4—4882no—
1937D4—4882no—
1938D4—4882no—
1939D4—4882no—
1940D4—4882no—
1941D4—2444no—
1942D4—2444no—
1943D4—2444no—
1944D4—2444no—
1945D4—2444no—
1946D4—2444no—
1947D4—2444no—
1948D4—2444no—
1949D4—2444no—
1950D4—2444no—
1951D4—2444no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—82no—
1981C2×C4—612no—
1982C2×C4—612no—
1983C2×C4—1221no—
1984C2×C4—1221no—
1985C2×C4—1221no—
1986C2×C4—1221no—
1987C2×C4—1221no—
1988C2×C4—1221no—
1989C2×C4—1221no—
1990C2×C4—1221no—
1991C2×C4—1221no—
1992C2×C4—1221no—
1993C2×C4—1221no—
1994C2×C4—1221no—
1995C2×C4—1221no—
1996C2×C4—1221no—
1997C2×C4—1221no—
1998C2×C4—1221no—
1999C2×C4—1221no—
2000C2×C4—1221no—
2001C2×C4—1221no—
2002C2×C4—1221no—
2003C2×C4—1221no—
2004C2×C4—1221no—
2005C2×C4—1221no—
2006C2×C4—1221no—
2007C2×C4—1221no—
2008C2×C4—1221no—
2009C2×C4—1221no—
2010C2×C4—1221no—
2011C2×C4—4882no—
2012C2×C4—2444no—
2013C2×C4—2444no—
2014C2×C4—2444no—
2015C2×C4C2×D4×D6112yes—
2016C2×C4C2×D4×D6112yes—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—416no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—41no—
2031C22—41no—
2032C22—41no—
2033C22—41no—
2034C22—41no—
2035C22—41no—
2036C22—41no—
2037C22—41no—
2038C22—41no—
2039C22—41no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—614no—
2054C22—1222no—
2055C22—1222no—
2056C22—1222no—
2057C22—1222no—
2058C22—1222no—
2059C22—1222no—
2060C22—1222no—
2061C22—1222no—
2062C22—1222no—
2063C22—1222no—
2064C22—1222no—
2065C22—1222no—
2066C22—1222no—
2067C22—1222no—
2068C22—1222no—
2069C22—4888no—
2070C22—24416no—
2071C22—24416no—
2072C22—24416no—
2073C22—24416no—
2074C22—24416no—
2075C22—24416no—
2076C22—2441no—
2077C22—2441no—
2078C22—2441no—
2079C22—2441no—
2080C22—2441no—
2081C22—2441no—
2082C22—2441no—
2083C22—2441no—
2084C22—2441no—
2085C22—2441no—
2086C22—2441no—
2087C22—2441no—
2088C22—2441no—
2089C22—2441no—
2090C22—2441no—
2091C22—2441no—
2092C22—2441no—
2093C22—2441no—
2094C22—2441no—
2095C22—2441no—
2096C22—2441no—
2097C22—2441no—
2098C22—2441no—
2099C22—2441no—
2100C22—2441no—
2101C22—2441no—
2102C22C22×D4×D6111yescharacteristic
2103C22H(5,𝔽2)×D6111yescharacteristic
2104C22H(5,𝔽2)×D6111yescharacteristic
2105C22H(5,𝔽2)×D6111yescharacteristic
2106C22H(5,𝔽2)×D6111yescharacteristic
2107C22C2×#1451982211yescharacteristic
2108C22C2×#1451982311yescharacteristic
2109C4—22no—
2110C4—22no—
2111C4—41no—
2112C4—41no—
2113C4—41no—
2114C4—41no—
2115C4—41no—
2116C4—41no—
2117C4—41no—
2118C4—41no—
2119C4—1222no—
2120C4—1222no—
2121C4—2441no—
2122C4—2441no—
2123C4—2441no—
2124C4—2441no—
2125C4—2441no—
2126C4—2441no—
2127C4—2441no—
2128C4—2441no—
2129C2—42no—
2130C2—42no—
2131C2—42no—
2132C2—81no—
2133C2—81no—
2134C2—1224no—
2135C2—4881no—
2136C2—4881no—
2137C2—2442no—
2138C2—2442no—
2139C2—2442no—
2140C2#535×D6111yescharacteristic
2141C2#2145944711yescharacteristic
2142C2#2145944911yescharacteristic
2143C2#2145996811yescharacteristic
2144C2#2145997011yescharacteristic
2145C2#2145997111yescharacteristic
2146C2#2145997211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2678C2
hypercenter#2678D61
hypocenterC61#36703
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#16840348C2semidirect
2. C2×#120×D61C2semidirect
3. #21454097C2semidirect
4. #21454095C2semidirect
5. #21452217C2semidirect
6. #21452215C2semidirect
7. #21452212C2semidirect
8. #21452210C2semidirect
9. #21452143C2semidirect
10. #21452141C2semidirect
11. #21452138C2semidirect
12. #21452044C2semidirect
13. #21452043C2semidirect
14. #21452042C2semidirect
15. #21452041C2semidirect
16. #21452038C2semidirect
17. #21452037C2semidirect
18. #21452033C2semidirect
19. #21452031C2semidirect
20. #21451532C2semidirect
21. #21451530C2semidirect
22. #21450971C2semidirect
23. #21450748C2semidirect
24. #21450710C2semidirect
25. #21450707C2semidirect
26. #21449469C2semidirect
27. #21449451C2semidirect
28. #21449171C2semidirect
29. #21449170C2semidirect
30. #21448413C2semidirect
31. C61×#2678C2semidirect
37. C2×#14519773C22semidirect
38. C2×#14519773C22semidirect
39. C2×#14519772C22semidirect
40. C2×#14519770C22semidirect
41. C2×#14519765C22semidirect
42. C2×#14519764C22semidirect
43. C2×#14519763C22semidirect
44. C2×#14519763C22semidirect
45. C2×#14519762C22semidirect
46. C2×#14519762C22semidirect
47. C2×#14519759C22semidirect
48. C2×#14519757C22semidirect
49. C2×#14519751C22semidirect
50. C2×#14519751C22semidirect
51. C2×#14519750C22semidirect
52. C2×#14519750C22semidirect
53. C2×#14519750C22semidirect
54. C2×#14519748C22semidirect
61. C2×#14519747C22semidirect
62. C2×#14519747C22semidirect
63. C2×#14519747C22semidirect
64. C2×#14519747C22semidirect
66. C2×#14519746C22semidirect
73. C2×#14519745C22semidirect
74. C2×#14519745C22semidirect
75. C2×#14519745C22semidirect
76. C2×#14519745C22semidirect
78. C2×#14519739C22semidirect
79. C2×C4×C22⋊D61C22semidirect
83. #16839698C22semidirect
84. #16839697C22semidirect
85. #16839688C22semidirect
86. #16839686C22semidirect
87. #16839685C22semidirect
88. #16839684C22semidirect
89. #16839680C22semidirect
90. #16839679C22semidirect
91. #16839679C22semidirect
92. #16839679C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
98. #16839678C22semidirect
99. #16839678C22semidirect
100. #16839677C22semidirect
101. #16839677C22semidirect
102. #16839677C22semidirect
103. #16839677C22semidirect
104. #16839677C22semidirect
105. #16839676C22semidirect
106. #16839676C22semidirect
107. #16839675C22semidirect
108. #16839674C22semidirect
109. #16839672C22semidirect
110. #16839672C22semidirect
111. #16839672C22semidirect
112. #16839671C22semidirect
113. #16839671C22semidirect
114. #16839671C22semidirect
115. #16839671C22semidirect
116. #16839671C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839670C22semidirect
122. #16839670C22semidirect
123. #16839670C22semidirect
124. #16839670C22semidirect
125. #16839665C22semidirect
126. #16839664C22semidirect
127. #16839663C22semidirect
128. #16839663C22semidirect
129. #16839662C22semidirect
130. #16839662C22semidirect
131. #16839662C22semidirect
132. #16839662C22semidirect
133. #16839662C22semidirect
134. #16839662C22semidirect
135. #16839656C22semidirect
136. #16839656C22semidirect
137. #16839655C22semidirect
138. #16839655C22semidirect
139. #16839655C22semidirect
140. #16839654C22semidirect
141. #16839654C22semidirect
142. #16839654C22semidirect
143. #16839654C22semidirect
144. #16839653C22semidirect
145. #16839652C22semidirect
146. #16839652C22semidirect
147. #16839651C22semidirect
148. #16839650C22semidirect
149. #16839650C22semidirect
150. #16839641C22semidirect
151. #16839640C22semidirect
152. #16839638C22semidirect
153. #16839624C22semidirect
154. #16839624C22semidirect
155. #16839621C22semidirect
156. #16839619C22semidirect
157. #16839618C22semidirect
164. #16839617C22semidirect
165. #16839617C22semidirect
166. #16839617C22semidirect
167. #16839617C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. C4×#11758198C22semidirect
173. #16839609C22semidirect
174. C2×#123×C61C22semidirect
175. C2×#121×C61C22semidirect
177. C2×#120×C61C22semidirect
178. C61×#397C22semidirect
179. C61×#396C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#392C22semidirect
183. C61×#392C22semidirect
184. C61×#390C22semidirect
185. C61×#390C22semidirect
186. C61×#388C22semidirect
187. C61×#386C22semidirect
188. C61×#379C22semidirect
203. C22×Dic122C23semidirect
211. C22×D244C23semidirect
225. C22×C22⋊D61C23semidirect
226. C22×C22⋊D61C23semidirect
227. C22×C22⋊D61C23semidirect
240. C22×C4×D61C23semidirect
283. C2×C4⋊Dic61C23semidirect
284. C2×C4⋊Dic61C23semidirect
285. C2×C4⋊Dic61C23semidirect
286. C2×C4⋊Dic61C23semidirect
287. C2×#11758196C23semidirect
288. C2×#11758196C23semidirect
289. C2×#11758196C23semidirect
290. C2×#11758196C23semidirect
291. C2×#11758196C23semidirect
292. C2×#11758196C23semidirect
305. C2×C22⋊Dic61C23semidirect
306. C2×C22⋊Dic61C23semidirect
307. C2×C22⋊Dic61C23semidirect
308. C2×C22⋊Dic61C23semidirect
309. C2×C22⋊Dic61C23semidirect
340. C2×#11758198C23semidirect
341. C2×#11758198C23semidirect
342. C2×#11758198C23semidirect
343. C2×#11758198C23semidirect
344. C2×#11758198C23semidirect
345. C2×#11758198C23semidirect
346. C2×#11758198C23semidirect
347. C2×#11758198C23semidirect
348. C2×#11758198C23semidirect
349. C2×#11758198C23semidirect
352. C22⋊C4×D61D4semidirect
353. C2×C4×Dic61C23semidirect
354. C2×C4×Dic61C23semidirect
355. C2×C4×Dic61C23semidirect
356. C2×C4×Dic61C23semidirect
357. C2×C4×Dic61C23semidirect
358. #14519684C23semidirect
359. #14519684C23semidirect
360. #14519684C23semidirect
361. #14519684C23semidirect
362. #14519684C23semidirect
363. #14519684C23semidirect
364. #14519684C23semidirect
365. #14519684C23semidirect
366. #14519684C23semidirect
367. #14519684C23semidirect
368. #14519684C23semidirect
369. #14519684C23semidirect
377. C22×D4×C61C23semidirect
378. C23×C4×C61C23semidirect
383. C2×C4⋊C4×C61C23semidirect
384. C2×C4⋊C4×C61C23semidirect
385. C2×C4⋊C4×C61C23semidirect
386. C2×C4⋊C4×C61C23semidirect
399. C2×C22⋊C4×C61C23semidirect
400. C2×C22⋊C4×C61C23semidirect
401. C2×C22⋊C4×C61C23semidirect
402. C2×C22⋊C4×C61C23semidirect
403. C2×C22⋊C4×C61C23semidirect
404. C2×C42×C61C23semidirect
405. #95×C61C23semidirect
406. #95×C61C23semidirect
407. #95×C61C23semidirect
408. #95×C61C23semidirect
1067. #2678D61semidirect
1121. C2×#123C2×D61semidirect
1129. C2×#121C2×D61semidirect
1154. C2×#120C2×D61semidirect
1163. #397C2×D61semidirect
1167. #396C2×D61semidirect
1186. #394C2×D61semidirect
1187. #394C2×D61semidirect
1206. #392C2×D61semidirect
1207. #392C2×D61semidirect
1218. #390C2×D61semidirect
1219. #390C2×D61semidirect
1235. #388C2×D61semidirect
1239. #386C2×D61semidirect
1259. #379C2×D61semidirect
1262. C61#36703semidirect
1318. C22×D4C22×D61semidirect
1323. C23×C4C22×D61semidirect
1380. C2×C4⋊C4C22×D61semidirect
1381. C2×C4⋊C4C22×D61semidirect
1382. C2×C4⋊C4C22×D61semidirect
1383. C2×C4⋊C4C22×D61semidirect
1456. C2×C22⋊C4C22×D61semidirect
1457. C2×C22⋊C4C22×D61semidirect
1458. C2×C22⋊C4C22×D61semidirect
1459. C2×C22⋊C4C22×D61semidirect
1460. C2×C22⋊C4C22×D61semidirect
1466. C2×C42C22×D61semidirect
1479. #95C22×D61semidirect
1480. #95C22×D61semidirect
1481. #95C22×D61semidirect
1482. #95C22×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403482
C2×#120×D612
#214540972
#214540952
#214522172
#214522152
#214522122
#214522102
#214521432
#214521412
#214521382
#214520442
#214520432
#214520422
#214520412
#214520382
#214520372
#214520332
#214520312
#214515322
#214515302
#214509712
#214507482
#214507102
#214507072
#214494692
#214494512
#214491712
#214491702
#214484132
C61×#26782
#3670361