Finite Group Databasebeta

← #29886739

Subgroups — #29886739

Order 15616.

4154 conjugacy classes of subgroups.

The subgroup lattice has 2158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840328C211yesmaximal, characteristic, complemented
2C2×#120×D61C211yesmaximal, characteristic, complemented
3#21454097C211yesmaximal, characteristic, complemented
4#21454095C211yesmaximal, characteristic, complemented
5#21452201C211yesmaximal, characteristic, complemented
6#21452199C211yesmaximal, characteristic, complemented
7#21452196C211yesmaximal, characteristic, complemented
8#21452194C211yesmaximal, characteristic, complemented
9#21452035C211yesmaximal, characteristic, complemented
10#21452033C211yesmaximal, characteristic, complemented
11#21452031C211yesmaximal, characteristic, complemented
12#21452030C211yesmaximal, characteristic, complemented
13#21452029C211yesmaximal, characteristic, complemented
14#21452028C211yesmaximal, characteristic, complemented
15#21452025C211yesmaximal, characteristic, complemented
16#21452025C211yesmaximal, characteristic, complemented
17#21452024C211yesmaximal, characteristic, complemented
18#21452023C211yesmaximal, characteristic, complemented
19#21452022C211yesmaximal, characteristic, complemented
20#21451593C211yesmaximal, characteristic, complemented
21#21451591C211yesmaximal, characteristic, complemented
22#21450094C211yesmaximal, characteristic, complemented
23#21450088C211yesmaximal, characteristic, complemented
24#21449192C211yesmaximal, characteristic, complemented
25#21449190C211yesmaximal, characteristic, complemented
26#21449188C211yesmaximal, characteristic, complemented
27#21449186C211yesmaximal, characteristic, complemented
28#21449136C211yesmaximal, characteristic, complemented
29#21449136C211yesmaximal, characteristic, complemented
30#21448393C211yesmaximal, characteristic, complemented
31C61×#2668C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic
33C22×#11758222C2211yescharacteristic, complemented
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36C22×D4×D61C2211yescharacteristic
37#16840328—28no—
38C2×#14519773C2211yescharacteristic, complemented
39C2×#14519773C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519763C2211yescharacteristic, complemented
42C2×#14519752C2211yescharacteristic, complemented
43C2×#14519752C2211yescharacteristic, complemented
44C2×#14519751C2211yescharacteristic, complemented
45C2×#14519751C2211yescharacteristic, complemented
46C2×#14519750C2211yescharacteristic, complemented
47C2×#14519750C2211yescharacteristic, complemented
48C2×#14519749C2211yescharacteristic, complemented
49C2×#14519749C2211yescharacteristic, complemented
50C2×#14519748C2211yescharacteristic, complemented
51C2×#14519748C2211yescharacteristic, complemented
52C2×#14519747C2211yescharacteristic
53C2×#14519747C2211yescharacteristic
54C2×#14519747C2211yescharacteristic
55C2×#14519747C2211yescharacteristic
56C2×#14519747C2211yescharacteristic
57C2×#14519747C2211yescharacteristic
58C2×#14519747C2211yescharacteristic, complemented
59C2×#14519747C2211yescharacteristic, complemented
60C2×#14519747C2211yescharacteristic, complemented
61C2×#14519747C2211yescharacteristic, complemented
62C2×#14519746C2211yescharacteristic
63C2×#14519746C2211yescharacteristic, complemented
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×#14519745C2211yescharacteristic
67C2×#14519745C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×#14519745C2211yescharacteristic, complemented
71C2×#14519745C2211yescharacteristic, complemented
72C2×#14519745C2211yescharacteristic, complemented
73C2×#14519745C2211yescharacteristic, complemented
74#120×D61—28no—
75C2×#14519735C2211yescharacteristic, complemented
76C22×#11758198C2211yescharacteristic, complemented
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C22⋊C4×D61C2211yescharacteristic
79C2×C22⋊C4×D61C2211yescharacteristic
80C2×C22⋊C4×D61C2211yescharacteristic, complemented
81#16839699C2211yescharacteristic, complemented
82#16839698C2211yescharacteristic, complemented
83#16839697C2211yescharacteristic, complemented
84#16839691C2211yescharacteristic, complemented
85#16839691C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic, complemented
87#16839690C2211yescharacteristic, complemented
88#16839689C2211yescharacteristic, complemented
89#16839689C2211yescharacteristic, complemented
90#16839688C2211yescharacteristic, complemented
91#16839688C2211yescharacteristic, complemented
92#16839687C2211yescharacteristic, complemented
93#16839687C2211yescharacteristic, complemented
94#16839680C2211yescharacteristic, complemented
95#16839680C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic, complemented
97#16839679C2211yescharacteristic, complemented
98#16839678C2211yescharacteristic, complemented
99#16839678C2211yescharacteristic, complemented
100#16839678C2211yescharacteristic, complemented
101#16839678C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839677C2211yescharacteristic, complemented
105#16839677C2211yescharacteristic, complemented
106#16839676C2211yescharacteristic, complemented
107#16839676C2211yescharacteristic, complemented
108#16839675C2211yescharacteristic, complemented
109#16839675C2211yescharacteristic, complemented
110#16839674C2211yescharacteristic, complemented
111#16839674C2211yescharacteristic, complemented
112#16839672C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic, complemented
114#16839671C2211yescharacteristic, complemented
115#16839671C2211yescharacteristic, complemented
116#16839671C2211yescharacteristic, complemented
117#16839671C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839670C2211yescharacteristic, complemented
122#16839670C2211yescharacteristic, complemented
123#16839656C2211yescharacteristic, complemented
124#16839656C2211yescharacteristic, complemented
125#16839655C2211yescharacteristic, complemented
126#16839655C2211yescharacteristic, complemented
127#16839652C2211yescharacteristic, complemented
128#16839652C2211yescharacteristic, complemented
129#16839651C2211yescharacteristic, complemented
130#16839651C2211yescharacteristic, complemented
131#16839642C2211yescharacteristic, complemented
132#16839642C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic, complemented
135#16839641C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839640C2211yescharacteristic, complemented
144#16839640C2211yescharacteristic, complemented
145#16839639C2211yescharacteristic, complemented
146#16839639C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839618C2211yescharacteristic, complemented
162#16839617C2211yescharacteristic
163#16839617C2211yescharacteristic
164#16839617C2211yescharacteristic
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic, complemented
173#16839617C2211yescharacteristic, complemented
174C2×#121×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#120×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic, complemented
178C61×#399C2211yescharacteristic, complemented
179C61×#397C2211yescharacteristic, complemented
180C61×#397C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, 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
203C2×#11758222—24no—
204C2×#11758222—42no—
205C2×#11758222—42no—
206C22×Dic122C2311yescharacteristic, complemented
207C22×D244C2311yescharacteristic
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
228C22×C22⋊D61C2311yescharacteristic, complemented
229C22×C22⋊D61C2311yescharacteristic, complemented
230C22×C22⋊D61C2311yescharacteristic, complemented
231C2×D4×D61—24no—
232C2×D4×D61—24no—
233C2×D4×D61—42no—
234C2×D4×D61—42no—
235C2×D4×D61—42no—
236C2×D4×D61—42no—
237C2×D4×D61—42no—
238C2×D4×D61—42no—
239C2×D4×D61D418yescomplemented
240C23×Dic61C2311yescharacteristic, complemented
241C22×C4×D61C2311yescharacteristic
242C22×C4×D61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244C22×C4×D61C2311yescharacteristic, complemented
245C22×C4×D61C2311yescharacteristic, complemented
246C22×C4×D61C2311yescharacteristic, complemented
247#14519773—24no—
248#14519773—24no—
249#14519763—24no—
250#14519763—24no—
251#14519752—24no—
252#14519752—42no—
253#14519751—24no—
254#14519751—42no—
255#14519750—42no—
256#14519750—42no—
257#14519749—42no—
258#14519749—42no—
259#14519748—24no—
260#14519748—42no—
261#14519747—24no—
262#14519747—24no—
263#14519747—24no—
264#14519747—24no—
265#14519747—24no—
266#14519747—42no—
267#14519747—42no—
268#14519747—42no—
269#14519747—42no—
270#14519747—42no—
271#14519746—24no—
272#14519746—42no—
273#14519745—24no—
274#14519745—24no—
275#14519745—24no—
276#14519745—24no—
277#14519745—24no—
278#14519745—42no—
279#14519745—42no—
280#14519745—42no—
281#14519745—42no—
282#14519745—42no—
283#14519735—24no—
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×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
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, complemented
304C2×C22⋊Dic61C2311yescharacteristic, complemented
305C2×C22⋊Dic61C2311yescharacteristic, complemented
306C2×C22⋊Dic61C2311yescharacteristic, complemented
307C2×#11758198—42no—
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×#11758198C2311yescharacteristic
337C2×#11758198C2311yescharacteristic
338C2×#11758198C2311yescharacteristic, complemented
339C2×#11758198C2311yescharacteristic, complemented
340C2×#11758198C2311yescharacteristic, complemented
341C2×#11758198C2311yescharacteristic, complemented
342C2×#11758198C2311yescharacteristic, complemented
343C2×#11758198C2311yescharacteristic, complemented
344C2×#11758198C2311yescharacteristic, complemented
345C2×#11758198C2311yescharacteristic, complemented
346C22⋊C4×D61—24no—
347C22⋊C4×D61—24no—
348C22⋊C4×D61—24no—
349C22⋊C4×D61—42no—
350C2×C4×Dic61C2311yescharacteristic, complemented
351C2×C4×Dic61C2311yescharacteristic, complemented
352#14519684C2311yescharacteristic, complemented
353#14519684C2311yescharacteristic, complemented
354#14519684C2311yescharacteristic, complemented
355#14519684C2311yescharacteristic, complemented
356#14519684C2311yescharacteristic, complemented
357#14519684C2311yescharacteristic, 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
379C23×C4×C61C2311yescharacteristic, complemented
380#121×C61—24no—
381#121×C61—42no—
382#120×C61—24no—
383#120×C61—42no—
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
403#95×C61C2311yescharacteristic, complemented
404#95×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—41no—
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—416no—
469C23×D61—416no—
470C23×D61—416no—
471C23×D61—416no—
472C23×D61—416no—
473C23×D61—416no—
474C23×D61—416no—
475C23×D61C2×D414yes—
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×C61C2×D414yes—
504C22×C4×C61—22no—
505C22×C4×C61—41no—
506C22×C4×C61—41no—
507C22×C4×C61—41no—
508C22×C4×C61—41no—
509C22×C4×C61—41no—
510C22×C4×C61C2411yescharacteristic
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C22×C4×C61C2411yescharacteristic
518C22×C4×C61C2411yescharacteristic
519C22×C4×C61C2411yescharacteristic
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—22no—
538C2×C22⋊D61—22no—
539C2×C22⋊D61—22no—
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—
565C2×C22⋊D61—41no—
566C2×C22⋊D61C2×D414yes—
567C2×C22⋊D61C2×D414yes—
568C22×Dic61—41no—
569C22×Dic61—41no—
570C22×Dic61—41no—
571C22×Dic61C2411yescharacteristic
572C22×Dic61C2411yescharacteristic
573C22×Dic61C2411yescharacteristic
574C22×Dic61C2411yescharacteristic
575C22×Dic61C2411yescharacteristic
576C22×Dic61C2411yescharacteristic
577C22×Dic61C2411yescharacteristic
578C22×Dic61C2411yescharacteristic
579C22×Dic61C2411yescharacteristic
580C22×Dic61C2411yescharacteristic
581D4×D61—416no—
582D4×D61—416no—
583D4×D61—416no—
584#11758222—416no—
585C2×D244—22no—
586C2×D244—22no—
587C2×D244—22no—
588C2×D244—22no—
589C2×D244—22no—
590C2×D244—22no—
591C2×D244—22no—
592C2×D244—22no—
593C2×D244—22no—
594C2×D244—22no—
595C2×D244—22no—
596C2×D244—41no—
597C2×D244—41no—
598C2×D244—41no—
599C2×D244—41no—
600C2×D244—41no—
601C2×D244—41no—
602C2×D244—41no—
603C2×D244—41no—
604C2×D244—41no—
605C2×D244—41no—
606C2×D244—41no—
607C2×D244—41no—
608C2×D244C2×D414yes—
609C2×C4×D61—22no—
610C2×C4×D61—22no—
611C2×C4×D61—22no—
612C2×C4×D61—22no—
613C2×C4×D61—22no—
614C2×C4×D61—41no—
615C2×C4×D61—41no—
616C2×C4×D61—41no—
617C2×C4×D61—41no—
618C2×C4×D61—41no—
619C2×C4×D61—41no—
620C2×C4×D61—41no—
621C2×C4×D61—41no—
622C2×C4×D61—41no—
623C2×C4×D61—41no—
624C2×C4×D61—41no—
625C2×C4×D61—41no—
626C2×C4×D61C2×D414yes—
627C2×Dic122—22no—
628C2×Dic122—41no—
629C2×Dic122—41no—
630C4⋊C4×C61—22no—
631C4⋊C4×C61—41no—
632C4⋊C4×C61—41no—
633C22⋊C4×C61—22no—
634C22⋊C4×C61—22no—
635C22⋊C4×C61—22no—
636C22⋊C4×C61—22no—
637C22⋊C4×C61—22no—
638C22⋊C4×C61—22no—
639C22⋊C4×C61—22no—
640C22⋊C4×C61—41no—
641C22⋊C4×C61—41no—
642C22⋊C4×C61—41no—
643C22⋊C4×C61—41no—
644C22⋊C4×C61—41no—
645C22⋊C4×C61—41no—
646C22⋊C4×C61—41no—
647C22⋊C4×C61—41no—
648C22⋊C4×C61—41no—
649C22⋊Dic61—22no—
650C22⋊Dic61—22no—
651C22⋊Dic61—22no—
652C22⋊Dic61—22no—
653C22⋊Dic61—22no—
654C22⋊Dic61—22no—
655C22⋊Dic61—22no—
656C22⋊Dic61—41no—
657C22⋊Dic61—41no—
658C22⋊Dic61—41no—
659C22⋊Dic61—41no—
660C22⋊Dic61—41no—
661C22⋊Dic61—41no—
662C22⋊Dic61—41no—
663C22⋊Dic61—41no—
664C22⋊Dic61—41no—
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—22no—
675#11758198—22no—
676#11758198—22no—
677#11758198—22no—
678#11758198—22no—
679#11758198—22no—
680#11758198—22no—
681#11758198—22no—
682#11758198—22no—
683#11758198—22no—
684#11758198—22no—
685#11758198—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#11758198—41no—
695#11758198—41no—
696#11758198—41no—
697#11758198—41no—
698#11758198—41no—
699#11758198—41no—
700#11758198—41no—
701#11758198—41no—
702#11758198—41no—
703C4⋊Dic61—22no—
704C4⋊Dic61—41no—
705C4⋊Dic61—41no—
706#11758196—41no—
707#11758196—41no—
708#11758196—41no—
709#11758196—41no—
710C4×Dic61—22no—
711C4×Dic61—22no—
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×C61C22×D412yes—
752C23×C61H(5,𝔽2)12yes—
753C23×C61H(5,𝔽2)12yes—
754C23×C61C2511yescharacteristic
755C22×D61—21no—
756C22×D61—21no—
757C22×D61—21no—
758C22×D61—21no—
759C22×D61—28no—
760C22×D61—28no—
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—21no—
779C22×D61—21no—
780C22×D61—21no—
781C22×D61—21no—
782C22×D61—21no—
783C22×D61—21no—
784C22×D61—21no—
785C22×D61—28no—
786C22×D61—28no—
787C22×D61—21no—
788C22×D61—21no—
789C22×D61—21no—
790C22×D61—21no—
791C22×D61—21no—
792C22×D61—21no—
793C22×D61—21no—
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—44no—
830C22×D61—4128no—
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×D61C22×D412yes—
843C22×D61H(5,𝔽2)12yes—
844C22×D61H(5,𝔽2)12yes—
845C22×D61H(5,𝔽2)12yes—
846C22×D61H(5,𝔽2)12yes—
847D4×C61—44no—
848D4×C61—44no—
849D4×C61—44no—
850D4×C61—82no—
851D4×C61—82no—
852D4×C61—82no—
853D4×C61—82no—
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—21no—
882C2×C4×C61—21no—
883C2×C4×C61—44no—
884C2×C4×C61—82no—
885C2×C4×C61C22×D412yes—
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—82no—
895C22⋊D61—82no—
896C22⋊D61—82no—
897C22⋊D61—82no—
898C22⋊D61—82no—
899C22⋊D61—82no—
900C22⋊D61—82no—
901C22⋊D61—82no—
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×Dic61—21no—
929C2×Dic61—21no—
930C2×Dic61—21no—
931C2×Dic61—82no—
932C2×Dic61C22×D412yes—
933D244—44no—
934D244—44no—
935D244—44no—
936D244—44no—
937D244—82no—
938D244—82no—
939D244—82no—
940D244—82no—
941C4×D61—28no—
942C4×D61—44no—
943C4×D61—44no—
944C4×D61—44no—
945C4×D61—82no—
946C4×D61—82no—
947Dic122—44no—
948#36702—611nomaximal, Sylow
949C22×C61—22no—
950C22×C61—22no—
951C22×C61—22no—
952C22×C61—22no—
953C22×C61—22no—
954C22×C61—22no—
955C22×C61—22no—
956C22×C61—22no—
957C22×C61—22no—
958C22×C61—22no—
959C22×C61—22no—
960C22×C61—22no—
961C22×C61—416no—
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×C61—41no—
981C22×C61—41no—
982C22×C61—41no—
983C22×C61—41no—
984C22×C61—41no—
985C22×C61C23×D411yescharacteristic
986C22×C61C2×H(5,𝔽2)11yescharacteristic
987C22×C61C2×H(5,𝔽2)11yescharacteristic
988C22×C61C2×H(5,𝔽2)11yescharacteristic
989C22×C61C2×H(5,𝔽2)11yescharacteristic
990C22×C61C2×H(5,𝔽2)11yescharacteristic
991C22×C61C2×H(5,𝔽2)11yescharacteristic
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—22no—
1003C2×D61—22no—
1004C2×D61—22no—
1005C2×D61—22no—
1006C2×D61—22no—
1007C2×D61—22no—
1008C2×D61—22no—
1009C2×D61—22no—
1010C2×D61—416no—
1011C2×D61—416no—
1012C2×D61—416no—
1013C2×D61—416no—
1014C2×D61—416no—
1015C2×D61—416no—
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—41no—
1035C2×D61—41no—
1036C2×D61—41no—
1037C2×D61—41no—
1038C2×D61—41no—
1039C2×D61—88no—
1040C2×D61#53414yes—
1041C4×C61—22no—
1042C4×C61—41no—
1043C4×C61—41no—
1044C4×C61—41no—
1045C4×C61—41no—
1046C4×C61—41no—
1047C4×C61—41no—
1048C4×C61—41no—
1049C4×C61—41no—
1050C4×C61—41no—
1051Dic61—22no—
1052Dic61—41no—
1053Dic61—41no—
1054Dic61—41no—
1055Dic61—41no—
1056Dic61—41no—
1057Dic61—41no—
1058Dic61—41no—
1059Dic61—41no—
1060Dic61—41no—
1061C2×#535—611no—
1062C22×#120—611no—
1063#2846—611no—
1064#2846—611no—
1065#2684—611no—
1066#2684—611no—
1067#2684—611no—
1068#2684—611no—
1069#2669—611no—
1070#2669—611no—
1071#2669—611no—
1072#2669—611no—
1073#2668—611no—
1074#2668—611no—
1075#2668—611no—
1076#2668—611no—
1077#2668—611no—
1078#2668—611no—
1079#2668—611no—
1080#2668D6111yescharacteristic, complemented
1081#2622—611no—
1082#2622—611no—
1083#2482—611no—
1084#2482—611no—
1085#2410—611no—
1086#2410—611no—
1087#2410—611no—
1088#2410—611no—
1089#2404—611no—
1090#2404—611no—
1091#2308—611no—
1092C2×C61—42no—
1093C2×C61—42no—
1094C2×C61—42no—
1095C2×C61—42no—
1096C2×C61—81no—
1097C2×C61C2×#53411yescharacteristic
1098C2×C61#348411yescharacteristic
1099C2×C61#348411yescharacteristic
1100C2×C61#353211yescharacteristic
1101C2×C61#353211yescharacteristic
1102C2×C61#353211yescharacteristic
1103C2×C61#353211yescharacteristic
1104D61—24no—
1105D61—42no—
1106D61—42no—
1107D61—42no—
1108D61—42no—
1109D61—81no—
1110C26—611no—
1111C22×#41—611no—
1112C23×D4—611no—
1113C23×D4—611no—
1114C23×D4—611no—
1115#535—1228no—
1116C2×#127—611no—
1117C2×#127—611no—
1118C2×#124—611no—
1119C2×#124—611no—
1120C2×#121—611no—
1121C2×#121—611no—
1122C2×#121—611no—
1123C2×#121—611no—
1124C2×#121—611no—
1125C2×#121—611no—
1126C2×#121—611no—
1127C2×#121—611no—
1128C2×#121—611no—
1129C2×#121—611no—
1130C2×#121C2×D6111yescharacteristic, complemented
1131C2×#121C2×D6111yescharacteristic, complemented
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—611no—
1153C2×#120—611no—
1154C2×#120—1228no—
1155C2×#120C2×D6111yescharacteristic
1156C2×#120C2×D6111yescharacteristic, complemented
1157C2×#117—611no—
1158C22×C22⋊C4—611no—
1159C22×C22⋊C4—611no—
1160C22×C22⋊C4—611no—
1161C22×C22⋊C4—611no—
1162C22×C22⋊C4—611no—
1163#399—611no—
1164#399—611no—
1165#399—611no—
1166#399C2×D6111yescharacteristic, complemented
1167#397—611no—
1168#397—611no—
1169#397—611no—
1170#397—611no—
1171#397—611no—
1172#397—611no—
1173#397—611no—
1174#397—611no—
1175#397—611no—
1176#397—611no—
1177#397C2×D6111yescharacteristic, complemented
1178#397C2×D6111yescharacteristic, complemented
1179#394—611no—
1180#394—611no—
1181#394—611no—
1182#394—611no—
1183#394—611no—
1184#394—611no—
1185#394—611no—
1186#394—611no—
1187#394—611no—
1188#394—611no—
1189#394—611no—
1190#394—611no—
1191#394—611no—
1192#394—611no—
1193#394C2×D6111yescharacteristic, complemented
1194#394C2×D6111yescharacteristic, complemented
1195#393—611no—
1196#393—611no—
1197#393—611no—
1198#393—611no—
1199#392—611no—
1200#392—611no—
1201#392—611no—
1202#392—611no—
1203#392—611no—
1204#392—611no—
1205#392—611no—
1206#392—611no—
1207#392—611no—
1208#392—611no—
1209#392—611no—
1210#392C2×D6111yescharacteristic, complemented
1211#388—611no—
1212#388—611no—
1213#388—611no—
1214#388—611no—
1215#388—611no—
1216#388—611no—
1217#388—611no—
1218#388—611no—
1219#386—611no—
1220#386—611no—
1221#386—611no—
1222#386—611no—
1223#386—611no—
1224#386—611no—
1225#386—611no—
1226#386—611no—
1227#386—611no—
1228#386—611no—
1229#386—611no—
1230#386—611no—
1231#386—611no—
1232#386—611no—
1233#386—611no—
1234#386—611no—
1235#386—611no—
1236#386—611no—
1237#386—611no—
1238#386—611no—
1239#386—611no—
1240#386—611no—
1241#386—611no—
1242#386—611no—
1243#386C2×D6111yescharacteristic, complemented
1244#386C2×D6111yescharacteristic, complemented
1245#386C2×D6111yescharacteristic, complemented
1246#386C2×D6111yescharacteristic, complemented
1247#385—611no—
1248#385—611no—
1249#385—611no—
1250#385—611no—
1251#381—611no—
1252#381—611no—
1253#379—611no—
1254#379—611no—
1255#379—611no—
1256#379—611no—
1257#379—611no—
1258#379—611no—
1259#379—611no—
1260#379—611no—
1261#379—611no—
1262#379—611no—
1263#379—611no—
1264#379—611no—
1265#379—611no—
1266#379C2×D6111yescharacteristic, complemented
1267C61#3670211yescharacteristic, complemented, Sylow
1268C25—611no—
1269C25—611no—
1270C25—611no—
1271C25—611no—
1272C25—611no—
1273C25—611no—
1274C25—611no—
1275C25—1224no—
1276C25—2442no—
1277C25—2442no—
1278C25—2442no—
1279C25—2442no—
1280C25—2442no—
1281C25—2442no—
1282C25C22×D6111yescharacteristic
1283C2×#41—1224no—
1284C2×#41—2442no—
1285C2×#41—2442no—
1286C22×Q8—611no—
1287C22×D4—611no—
1288C22×D4—611no—
1289C22×D4—618no—
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—611no—
1304C22×D4—611no—
1305C22×D4—611no—
1306C22×D4—611no—
1307C22×D4—611no—
1308C22×D4—611no—
1309C22×D4—611no—
1310C22×D4—611no—
1311C22×D4—611no—
1312C22×D4—1224no—
1313C22×D4—1224no—
1314C22×D4—2442no—
1315C22×D4—2442no—
1316C22×D4—2442no—
1317C22×D4—2442no—
1318C22×D4—2442no—
1319C22×D4—2442no—
1320C22×D4C22×D6111yescharacteristic
1321C22×D4C22×D6111yescharacteristic
1322C22×D4C22×D6111yescharacteristic
1323C22×D4C22×D6111yescharacteristic
1324C22×D4C22×D6111yescharacteristic
1325C22×D4C22×D6111yescharacteristic
1326C22×D4C22×D6111yescharacteristic, complemented
1327C23×C4—611no—
1328C23×C4—611no—
1329C23×C4—611no—
1330C23×C4—611no—
1331C23×C4—611no—
1332C23×C4—611no—
1333C23×C4—611no—
1334C23×C4C22×D6111yescharacteristic, complemented
1335C23×C4C22×D6111yescharacteristic, complemented
1336#127—1224no—
1337#127—1224no—
1338#124—1224no—
1339#124—1224no—
1340#121—24no—
1341#121—42no—
1342#121—1224no—
1343#121—1224no—
1344#121—1224no—
1345#121—2442no—
1346#121—2442no—
1347#121—2442no—
1348#121—2442no—
1349#121—2442no—
1350#121—2442no—
1351#121—2442no—
1352#120—24no—
1353#120—42no—
1354#120—1224no—
1355#120—1224no—
1356#120—1224no—
1357#120—1224no—
1358#120—1224no—
1359#120—1224no—
1360#120—1224no—
1361#120—1224no—
1362#120—1224no—
1363#120—1224no—
1364#120—1224no—
1365#120—2442no—
1366#120—2442no—
1367#120—2442no—
1368#120—2442no—
1369#120—2442no—
1370#120—2442no—
1371#120—2442no—
1372#120—2442no—
1373#120—2442no—
1374#120—2442no—
1375#120—2442no—
1376#117—1224no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4C22×D6111yescharacteristic, complemented
1385C2×C4⋊C4C22×D6111yescharacteristic, complemented
1386C2×C4⋊C4C22×D6111yescharacteristic, complemented
1387C2×C22⋊C4—611no—
1388C2×C22⋊C4—611no—
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—611no—
1392C2×C22⋊C4—611no—
1393C2×C22⋊C4—611no—
1394C2×C22⋊C4—611no—
1395C2×C22⋊C4—611no—
1396C2×C22⋊C4—611no—
1397C2×C22⋊C4—611no—
1398C2×C22⋊C4—611no—
1399C2×C22⋊C4—611no—
1400C2×C22⋊C4—611no—
1401C2×C22⋊C4—611no—
1402C2×C22⋊C4—611no—
1403C2×C22⋊C4—611no—
1404C2×C22⋊C4—611no—
1405C2×C22⋊C4—611no—
1406C2×C22⋊C4—611no—
1407C2×C22⋊C4—611no—
1408C2×C22⋊C4—611no—
1409C2×C22⋊C4—611no—
1410C2×C22⋊C4—611no—
1411C2×C22⋊C4—611no—
1412C2×C22⋊C4—611no—
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—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—1224no—
1442C2×C22⋊C4—1224no—
1443C2×C22⋊C4—1224no—
1444C2×C22⋊C4—2442no—
1445C2×C22⋊C4—2442no—
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
1457C2×C22⋊C4C22×D6111yescharacteristic
1458C2×C22⋊C4C22×D6111yescharacteristic, complemented
1459C2×C22⋊C4C22×D6111yescharacteristic, complemented
1460C2×C22⋊C4C22×D6111yescharacteristic, complemented
1461C2×C22⋊C4C22×D6111yescharacteristic, complemented
1462C2×C42—611no—
1463C2×C42—611no—
1464#95—611no—
1465#95—611no—
1466#95—611no—
1467#95—611no—
1468#95—611no—
1469#95—611no—
1470#95—611no—
1471#95—611no—
1472#95—611no—
1473#95—611no—
1474#95—611no—
1475#95—611no—
1476#95—611no—
1477#95—611no—
1478#95—611no—
1479#95—611no—
1480#95—611no—
1481#95—611no—
1482#95C22×D6111yescharacteristic, complemented
1483#95C22×D6111yescharacteristic, complemented
1484#95C22×D6111yescharacteristic, complemented
1485#95C22×D6111yescharacteristic, complemented
1486#95C22×D6111yescharacteristic, complemented
1487#95C22×D6111yescharacteristic, complemented
1488C24—22no—
1489C24—22no—
1490C24—22no—
1491C24—41no—
1492C24—41no—
1493C24—41no—
1494C24—41no—
1495C24—611no—
1496C24—611no—
1497C24—611no—
1498C24—611no—
1499C24—611no—
1500C24—614no—
1501C24—614no—
1502C24—611no—
1503C24—1222no—
1504C24—1222no—
1505C24—1222no—
1506C24—1222no—
1507C24—1222no—
1508C24—1222no—
1509C24—1222no—
1510C24—1222no—
1511C24—1222no—
1512C24—1222no—
1513C24—1222no—
1514C24—1222no—
1515C24—1222no—
1516C24—1222no—
1517C24—1222no—
1518C24—1222no—
1519C24—1222no—
1520C24—1222no—
1521C24—1222no—
1522C24—1222no—
1523C24—1222no—
1524C24—1222no—
1525C24—1222no—
1526C24—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—2441no—
1546C24—2441no—
1547C24—2441no—
1548C24—2441no—
1549C24—2441no—
1550C24—24416no—
1551C24—24416no—
1552C24—24416no—
1553C24—24416no—
1554C24—24416no—
1555C24—24416no—
1556C24—24416no—
1557C24C23×D6111yescharacteristic
1558C24C23×D6111yescharacteristic
1559C24C23×D6111yescharacteristic
1560C24C23×D6111yescharacteristic
1561C24C23×D6111yescharacteristic
1562#41—24416no—
1563C2×Q8—1222no—
1564C2×Q8—2441no—
1565C2×Q8—2441no—
1566C2×D4—22no—
1567C2×D4—22no—
1568C2×D4—22no—
1569C2×D4—22no—
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—41no—
1577C2×D4—41no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—614no—
1587C2×D4—614no—
1588C2×D4—614no—
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—1222no—
1613C2×D4—1222no—
1614C2×D4—1222no—
1615C2×D4—1222no—
1616C2×D4—1222no—
1617C2×D4—1222no—
1618C2×D4—1222no—
1619C2×D4—1222no—
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—24416no—
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—2441no—
1654C2×D4—2441no—
1655C2×D4—2441no—
1656C2×D4—2441no—
1657C2×D4—2441no—
1658C2×D4—2441no—
1659C2×D4—24416no—
1660C2×D4—24416no—
1661C2×D4D4×D6114yes—
1662C22×C4—22no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—611no—
1669C22×C4—614no—
1670C22×C4—611no—
1671C22×C4—611no—
1672C22×C4—611no—
1673C22×C4—611no—
1674C22×C4—611no—
1675C22×C4—611no—
1676C22×C4—611no—
1677C22×C4—611no—
1678C22×C4—611no—
1679C22×C4—1222no—
1680C22×C4—1222no—
1681C22×C4—1222no—
1682C22×C4—1222no—
1683C22×C4—1222no—
1684C22×C4—2441no—
1685C22×C4—2441no—
1686C22×C4—2441no—
1687C22×C4—2441no—
1688C22×C4—2441no—
1689C22×C4—2441no—
1690C22×C4—2441no—
1691C22×C4—2441no—
1692C22×C4—2441no—
1693C22×C4—2441no—
1694C22×C4—2441no—
1695C22×C4—2441no—
1696C22×C4—2441no—
1697C22×C4—2441no—
1698C22×C4—2441no—
1699C22×C4C23×D6111yescharacteristic
1700C22×C4C23×D6111yescharacteristic
1701C22×C4C23×D6111yescharacteristic
1702C22×C4C23×D6111yescharacteristic
1703C22×C4C23×D6111yescharacteristic
1704C22×C4C23×D6111yescharacteristic
1705C22×C4C23×D6111yescharacteristic
1706C22×C4C23×D6111yescharacteristic
1707C22×C4C23×D6111yescharacteristic
1708C22×C4C23×D6111yescharacteristic
1709C4⋊C4—22no—
1710C4⋊C4—41no—
1711C4⋊C4—41no—
1712C4⋊C4—1222no—
1713C4⋊C4—2441no—
1714C4⋊C4—2441no—
1715C4⋊C4—2441no—
1716C4⋊C4—2441no—
1717C4⋊C4—2441no—
1718C4⋊C4—2441no—
1719C22⋊C4—22no—
1720C22⋊C4—22no—
1721C22⋊C4—22no—
1722C22⋊C4—22no—
1723C22⋊C4—22no—
1724C22⋊C4—22no—
1725C22⋊C4—22no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—41no—
1729C22⋊C4—41no—
1730C22⋊C4—41no—
1731C22⋊C4—41no—
1732C22⋊C4—41no—
1733C22⋊C4—41no—
1734C22⋊C4—41no—
1735C22⋊C4—1222no—
1736C22⋊C4—1222no—
1737C22⋊C4—1222no—
1738C22⋊C4—1222no—
1739C22⋊C4—1222no—
1740C22⋊C4—1222no—
1741C22⋊C4—1222no—
1742C22⋊C4—1222no—
1743C22⋊C4—1222no—
1744C22⋊C4—1222no—
1745C22⋊C4—1222no—
1746C22⋊C4—1222no—
1747C22⋊C4—1222no—
1748C22⋊C4—1222no—
1749C22⋊C4—1222no—
1750C22⋊C4—1222no—
1751C22⋊C4—1222no—
1752C22⋊C4—1222no—
1753C22⋊C4—1222no—
1754C22⋊C4—1222no—
1755C22⋊C4—1222no—
1756C22⋊C4—1222no—
1757C22⋊C4—1222no—
1758C22⋊C4—1222no—
1759C22⋊C4—1222no—
1760C22⋊C4—1222no—
1761C22⋊C4—1222no—
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⋊C4—2441no—
1779C22⋊C4—2441no—
1780C22⋊C4—2441no—
1781C22⋊C4—2441no—
1782C22⋊C4—2441no—
1783C22⋊C4—2441no—
1784C22⋊C4—2441no—
1785C22⋊C4—2441no—
1786C22⋊C4—2441no—
1787C22⋊C4—2441no—
1788C22⋊C4—2441no—
1789C42—1222no—
1790C42—1222no—
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—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—612no—
1830C23—612no—
1831C23—612no—
1832C23—612no—
1833C23—612no—
1834C23—612no—
1835C23—612no—
1836C23—1228no—
1837C23—1228no—
1838C23—1228no—
1839C23—1228no—
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—1221no—
1870C23—1221no—
1871C23—1221no—
1872C23—1221no—
1873C23—1221no—
1874C23—1221no—
1875C23—4882no—
1876C23—4882no—
1877C23—4882no—
1878C23—4882no—
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—2444no—
1913C23—2444no—
1914C23—2444no—
1915C23—2444no—
1916C23—2444no—
1917C23—244128no—
1918C23—2444no—
1919C23—2444no—
1920C23—2444no—
1921C23C2×D4×D6112yes—
1922C23C2×D4×D6112yes—
1923C23#1451982212yes—
1924C23#1451982312yes—
1925C23C24×D6111yescharacteristic
1926Q8—2444no—
1927D4—44no—
1928D4—44no—
1929D4—44no—
1930D4—82no—
1931D4—82no—
1932D4—82no—
1933D4—82no—
1934D4—4882no—
1935D4—4882no—
1936D4—4882no—
1937D4—4882no—
1938D4—4882no—
1939D4—4882no—
1940D4—4882no—
1941D4—4882no—
1942D4—4882no—
1943D4—4882no—
1944D4—4882no—
1945D4—4882no—
1946D4—2444no—
1947D4—2444no—
1948D4—2444no—
1949D4—2444no—
1950D4—2444no—
1951D4—2444no—
1952D4—2444no—
1953D4—2444no—
1954D4—2444no—
1955D4—2444no—
1956D4—2444no—
1957D4—2444no—
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—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—44no—
1988C2×C4—82no—
1989C2×C4—612no—
1990C2×C4—1228no—
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—1221no—
2012C2×C4—1221no—
2013C2×C4—1221no—
2014C2×C4—1221no—
2015C2×C4—1221no—
2016C2×C4—1221no—
2017C2×C4—1221no—
2018C2×C4—1221no—
2019C2×C4—1221no—
2020C2×C4—4882no—
2021C2×C4—4882no—
2022C2×C4—4882no—
2023C2×C4—2444no—
2024C2×C4—2444no—
2025C2×C4—2444no—
2026C2×C4C2×D4×D6112yes—
2027C22—22no—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—22no—
2039C22—416no—
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—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—41no—
2061C22—41no—
2062C22—41no—
2063C22—614no—
2064C22—1222no—
2065C22—1222no—
2066C22—1222no—
2067C22—1222no—
2068C22—1222no—
2069C22—1222no—
2070C22—1222no—
2071C22—1222no—
2072C22—1222no—
2073C22—1222no—
2074C22—1222no—
2075C22—1222no—
2076C22—1222no—
2077C22—1222no—
2078C22—1222no—
2079C22—1222no—
2080C22—1222no—
2081C22—1222no—
2082C22—4888no—
2083C22—24416no—
2084C22—24416no—
2085C22—24416no—
2086C22—24416no—
2087C22—24416no—
2088C22—24416no—
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—
2102C22—2441no—
2103C22—2441no—
2104C22—2441no—
2105C22—2441no—
2106C22—2441no—
2107C22—2441no—
2108C22—2441no—
2109C22—2441no—
2110C22—2441no—
2111C22—2441no—
2112C22C22×D4×D6111yescharacteristic
2113C22H(5,𝔽2)×D6111yescharacteristic
2114C22H(5,𝔽2)×D6111yescharacteristic
2115C22H(5,𝔽2)×D6111yescharacteristic
2116C22H(5,𝔽2)×D6111yescharacteristic
2117C22C2×#1451982211yescharacteristic
2118C22C2×#1451982311yescharacteristic
2119C4—22no—
2120C4—41no—
2121C4—41no—
2122C4—41no—
2123C4—41no—
2124C4—41no—
2125C4—41no—
2126C4—41no—
2127C4—41no—
2128C4—41no—
2129C4—1222no—
2130C4—2441no—
2131C4—2441no—
2132C4—2441no—
2133C4—2441no—
2134C4—2441no—
2135C4—2441no—
2136C4—2441no—
2137C4—2441no—
2138C4—2441no—
2139C2—42no—
2140C2—42no—
2141C2—42no—
2142C2—42no—
2143C2—81no—
2144C2—1224no—
2145C2—4881no—
2146C2—2442no—
2147C2—2442no—
2148C2—2442no—
2149C2—2442no—
2150C2#534×D6111yescharacteristic
2151C2#2145944711yescharacteristic
2152C2#2145944911yescharacteristic
2153C2#2145996811yescharacteristic
2154C2#2145997011yescharacteristic
2155C2#2145997111yescharacteristic
2156C2#2145997211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2668C2
hypercenter#2668D61
hypocenterC61#36702
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#16840328C2semidirect
2. C2×#120×D61C2semidirect
3. #21454097C2semidirect
4. #21454095C2semidirect
5. #21452201C2semidirect
6. #21452199C2semidirect
7. #21452196C2semidirect
8. #21452194C2semidirect
9. #21452035C2semidirect
10. #21452033C2semidirect
11. #21452031C2semidirect
12. #21452030C2semidirect
13. #21452029C2semidirect
14. #21452028C2semidirect
15. #21452025C2semidirect
16. #21452025C2semidirect
17. #21452024C2semidirect
18. #21452023C2semidirect
19. #21452022C2semidirect
20. #21451593C2semidirect
21. #21451591C2semidirect
22. #21450094C2semidirect
23. #21450088C2semidirect
24. #21449192C2semidirect
25. #21449190C2semidirect
26. #21449188C2semidirect
27. #21449186C2semidirect
28. #21449136C2semidirect
29. #21449136C2semidirect
30. #21448393C2semidirect
31. C61×#2668C2semidirect
33. C22×#11758222C22semidirect
38. C2×#14519773C22semidirect
39. C2×#14519773C22semidirect
40. C2×#14519763C22semidirect
41. C2×#14519763C22semidirect
42. C2×#14519752C22semidirect
43. C2×#14519752C22semidirect
44. C2×#14519751C22semidirect
45. C2×#14519751C22semidirect
46. C2×#14519750C22semidirect
47. C2×#14519750C22semidirect
48. C2×#14519749C22semidirect
49. C2×#14519749C22semidirect
50. C2×#14519748C22semidirect
51. C2×#14519748C22semidirect
58. C2×#14519747C22semidirect
59. C2×#14519747C22semidirect
60. C2×#14519747C22semidirect
61. C2×#14519747C22semidirect
63. C2×#14519746C22semidirect
70. C2×#14519745C22semidirect
71. C2×#14519745C22semidirect
72. C2×#14519745C22semidirect
73. C2×#14519745C22semidirect
75. C2×#14519735C22semidirect
76. C22×#11758198C22semidirect
80. C2×C22⋊C4×D61C22semidirect
81. #16839699C22semidirect
82. #16839698C22semidirect
83. #16839697C22semidirect
84. #16839691C22semidirect
85. #16839691C22semidirect
86. #16839690C22semidirect
87. #16839690C22semidirect
88. #16839689C22semidirect
89. #16839689C22semidirect
90. #16839688C22semidirect
91. #16839688C22semidirect
92. #16839687C22semidirect
93. #16839687C22semidirect
94. #16839680C22semidirect
95. #16839680C22semidirect
96. #16839679C22semidirect
97. #16839679C22semidirect
98. #16839678C22semidirect
99. #16839678C22semidirect
100. #16839678C22semidirect
101. #16839678C22semidirect
102. #16839677C22semidirect
103. #16839677C22semidirect
104. #16839677C22semidirect
105. #16839677C22semidirect
106. #16839676C22semidirect
107. #16839676C22semidirect
108. #16839675C22semidirect
109. #16839675C22semidirect
110. #16839674C22semidirect
111. #16839674C22semidirect
112. #16839672C22semidirect
113. #16839671C22semidirect
114. #16839671C22semidirect
115. #16839671C22semidirect
116. #16839671C22semidirect
117. #16839671C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839670C22semidirect
122. #16839670C22semidirect
123. #16839656C22semidirect
124. #16839656C22semidirect
125. #16839655C22semidirect
126. #16839655C22semidirect
127. #16839652C22semidirect
128. #16839652C22semidirect
129. #16839651C22semidirect
130. #16839651C22semidirect
131. #16839642C22semidirect
132. #16839642C22semidirect
133. #16839641C22semidirect
134. #16839641C22semidirect
135. #16839641C22semidirect
136. #16839641C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
143. #16839640C22semidirect
144. #16839640C22semidirect
145. #16839639C22semidirect
146. #16839639C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839638C22semidirect
151. #16839638C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839636C22semidirect
156. #16839636C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839624C22semidirect
160. #16839624C22semidirect
161. #16839618C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. #16839617C22semidirect
173. #16839617C22semidirect
174. C2×#121×C61C22semidirect
175. C2×#121×C61C22semidirect
177. C2×#120×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#397C22semidirect
180. C61×#397C22semidirect
181. C61×#394C22semidirect
182. C61×#394C22semidirect
183. C61×#392C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#386C22semidirect
187. C61×#386C22semidirect
188. C61×#379C22semidirect
206. C22×Dic122C23semidirect
214. C22×D244C23semidirect
228. C22×C22⋊D61C23semidirect
229. C22×C22⋊D61C23semidirect
230. C22×C22⋊D61C23semidirect
239. C2×D4×D61D4semidirect
240. C23×Dic61C23semidirect
244. C22×C4×D61C23semidirect
245. C22×C4×D61C23semidirect
246. C22×C4×D61C23semidirect
284. C2×C4⋊Dic61C23semidirect
285. C2×C4⋊Dic61C23semidirect
286. C2×C4⋊Dic61C23semidirect
287. C2×#11758196C23semidirect
288. C2×#11758196C23semidirect
289. C2×#11758196C23semidirect
290. C2×#11758196C23semidirect
303. C2×C22⋊Dic61C23semidirect
304. C2×C22⋊Dic61C23semidirect
305. C2×C22⋊Dic61C23semidirect
306. C2×C22⋊Dic61C23semidirect
338. C2×#11758198C23semidirect
339. C2×#11758198C23semidirect
340. C2×#11758198C23semidirect
341. C2×#11758198C23semidirect
342. C2×#11758198C23semidirect
343. C2×#11758198C23semidirect
344. C2×#11758198C23semidirect
345. C2×#11758198C23semidirect
350. C2×C4×Dic61C23semidirect
351. C2×C4×Dic61C23semidirect
352. #14519684C23semidirect
353. #14519684C23semidirect
354. #14519684C23semidirect
355. #14519684C23semidirect
356. #14519684C23semidirect
357. #14519684C23semidirect
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
379. C23×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. #95×C61C23semidirect
404. #95×C61C23semidirect
405. #95×C61C23semidirect
406. #95×C61C23semidirect
407. #95×C61C23semidirect
408. #95×C61C23semidirect
1080. #2668D61semidirect
1130. C2×#121C2×D61semidirect
1131. C2×#121C2×D61semidirect
1156. C2×#120C2×D61semidirect
1166. #399C2×D61semidirect
1177. #397C2×D61semidirect
1178. #397C2×D61semidirect
1193. #394C2×D61semidirect
1194. #394C2×D61semidirect
1210. #392C2×D61semidirect
1243. #386C2×D61semidirect
1244. #386C2×D61semidirect
1245. #386C2×D61semidirect
1246. #386C2×D61semidirect
1266. #379C2×D61semidirect
1267. C61#36702semidirect
1326. C22×D4C22×D61semidirect
1334. C23×C4C22×D61semidirect
1335. C23×C4C22×D61semidirect
1384. C2×C4⋊C4C22×D61semidirect
1385. C2×C4⋊C4C22×D61semidirect
1386. C2×C4⋊C4C22×D61semidirect
1458. C2×C22⋊C4C22×D61semidirect
1459. C2×C22⋊C4C22×D61semidirect
1460. C2×C22⋊C4C22×D61semidirect
1461. C2×C22⋊C4C22×D61semidirect
1482. #95C22×D61semidirect
1483. #95C22×D61semidirect
1484. #95C22×D61semidirect
1485. #95C22×D61semidirect
1486. #95C22×D61semidirect
1487. #95C22×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403282
C2×#120×D612
#214540972
#214540952
#214522012
#214521992
#214521962
#214521942
#214520352
#214520332
#214520312
#214520302
#214520292
#214520282
#214520252
#214520242
#214520232
#214520222
#214515932
#214515912
#214500942
#214500882
#214491922
#214491902
#214491882
#214491862
#214491362
#214483932
C61×#26682
#3670261