Finite Group Databasebeta

← #29886750

Subgroups — #29886750

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×#16840344C211yesmaximal, characteristic, complemented
2C2×#120×D61C211yesmaximal, characteristic, complemented
3#21454095C211yesmaximal, characteristic, complemented
4#21454095C211yesmaximal, characteristic, complemented
5#21452209C211yesmaximal, characteristic, complemented
6#21452208C211yesmaximal, characteristic, complemented
7#21452207C211yesmaximal, characteristic, complemented
8#21452206C211yesmaximal, characteristic, complemented
9#21452147C211yesmaximal, characteristic, complemented
10#21452146C211yesmaximal, characteristic, complemented
11#21452145C211yesmaximal, characteristic, complemented
12#21452144C211yesmaximal, characteristic, complemented
13#21452047C211yesmaximal, characteristic, complemented
14#21452046C211yesmaximal, characteristic, complemented
15#21452044C211yesmaximal, characteristic, complemented
16#21452041C211yesmaximal, characteristic, complemented
17#21452032C211yesmaximal, characteristic, complemented
18#21452031C211yesmaximal, characteristic, complemented
19#21452030C211yesmaximal, characteristic, complemented
20#21451530C211yesmaximal, characteristic, complemented
21#21451530C211yesmaximal, characteristic, complemented
22#21450975C211yesmaximal, characteristic, complemented
23#21450744C211yesmaximal, characteristic, complemented
24#21450707C211yesmaximal, characteristic, complemented
25#21450704C211yesmaximal, characteristic, complemented
26#21449465C211yesmaximal, characteristic, complemented
27#21449453C211yesmaximal, characteristic, complemented
28#21449171C211yesmaximal, characteristic, complemented
29#21449168C211yesmaximal, characteristic, complemented
30#21448413C211yesmaximal, characteristic, complemented
31C61×#2669C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36#16840344—28no—
37C2×#14519773C2211yescharacteristic, complemented
38C2×#14519772C2211yescharacteristic, complemented
39C2×#14519770C2211yescharacteristic, complemented
40C2×#14519764C2211yescharacteristic, complemented
41C2×#14519763C2211yescharacteristic, complemented
42C2×#14519763C2211yescharacteristic, complemented
43C2×#14519763C2211yescharacteristic, complemented
44C2×#14519760C2211yescharacteristic, complemented
45C2×#14519759C2211yescharacteristic, complemented
46C2×#14519759C2211yescharacteristic, complemented
47C2×#14519758C2211yescharacteristic, complemented
48C2×#14519755C2211yescharacteristic, complemented
49C2×#14519751C2211yescharacteristic, complemented
50C2×#14519749C2211yescharacteristic, complemented
51C2×#14519749C2211yescharacteristic, complemented
52C2×#14519749C2211yescharacteristic, complemented
53C2×#14519748C2211yescharacteristic, complemented
54C2×#14519747C2211yescharacteristic
55C2×#14519747C2211yescharacteristic
56C2×#14519747C2211yescharacteristic
57C2×#14519746C2211yescharacteristic
58C2×#14519745C2211yescharacteristic
59C2×#14519745C2211yescharacteristic
60C2×#14519745C2211yescharacteristic
61C2×#14519745C2211yescharacteristic
62C2×#14519745C2211yescharacteristic
63C2×#14519745C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×#14519745C2211yescharacteristic
67C2×#14519745C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic, complemented
69C2×#14519745C2211yescharacteristic, complemented
70C2×#14519745C2211yescharacteristic, complemented
71C2×#14519745C2211yescharacteristic, complemented
72C2×#14519745C2211yescharacteristic, complemented
73C2×#14519745C2211yescharacteristic, complemented
74C2×#14519745C2211yescharacteristic, complemented
75#120×D61—28no—
76C2×C4×C22⋊D61C2211yescharacteristic, complemented
77C2×#14519737C2211yescharacteristic, complemented
78C2×C22⋊C4×D61C2211yescharacteristic
79C2×C22⋊C4×D61C2211yescharacteristic
80C2×C22⋊C4×D61C2211yescharacteristic
81#16839699C2211yescharacteristic, complemented
82#16839698C2211yescharacteristic, complemented
83#16839691C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839686C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839680C2211yescharacteristic, complemented
90#16839680C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839679C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839678C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic, complemented
100#16839677C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic, complemented
102#16839676C2211yescharacteristic, complemented
103#16839676C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839676C2211yescharacteristic, complemented
106#16839676C2211yescharacteristic, complemented
107#16839675C2211yescharacteristic, complemented
108#16839674C2211yescharacteristic, complemented
109#16839671C2211yescharacteristic, complemented
110#16839671C2211yescharacteristic, complemented
111#16839671C2211yescharacteristic, complemented
112#16839670C2211yescharacteristic, complemented
113#16839670C2211yescharacteristic, complemented
114#16839670C2211yescharacteristic, complemented
115#16839670C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839670C2211yescharacteristic, complemented
122#16839670C2211yescharacteristic, complemented
123#16839665C2211yescharacteristic, complemented
124#16839665C2211yescharacteristic, complemented
125#16839665C2211yescharacteristic, complemented
126#16839665C2211yescharacteristic, complemented
127#16839664C2211yescharacteristic, 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#16839654C2211yescharacteristic, complemented
140#16839654C2211yescharacteristic, complemented
141#16839653C2211yescharacteristic, complemented
142#16839653C2211yescharacteristic, complemented
143#16839652C2211yescharacteristic, complemented
144#16839652C2211yescharacteristic, complemented
145#16839651C2211yescharacteristic, complemented
146#16839651C2211yescharacteristic, complemented
147#16839650C2211yescharacteristic, complemented
148#16839650C2211yescharacteristic, complemented
149#16839642C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic, complemented
151#16839639C2211yescharacteristic, complemented
152#16839624C2211yescharacteristic, complemented
153#16839624C2211yescharacteristic, complemented
154#16839621C2211yescharacteristic, complemented
155#16839619C2211yescharacteristic, complemented
156#16839618C2211yescharacteristic, 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×#127×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic, complemented
179C2×#120×C61C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#392C2211yescharacteristic, complemented
185C61×#392C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic, complemented
187C61×#388C2211yescharacteristic, complemented
188C61×#386C2211yescharacteristic, 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×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
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, complemented
222C22×C22⋊D61C2311yescharacteristic, complemented
223C2×D4×D61—24no—
224C2×D4×D61—24no—
225C2×D4×D61—24no—
226C2×D4×D61—42no—
227C2×D4×D61—42no—
228C2×D4×D61—42no—
229C2×D4×D61—42no—
230C2×D4×D61—42no—
231C2×D4×D61—42no—
232C23×Dic61C2311yescharacteristic, complemented
233C22×C4×D61C2311yescharacteristic
234C22×C4×D61C2311yescharacteristic
235C22×C4×D61C2311yescharacteristic
236#14519773—42no—
237#14519772—24no—
238#14519770—24no—
239#14519764—24no—
240#14519763—24no—
241#14519763—42no—
242#14519763—42no—
243#14519760—24no—
244#14519759—42no—
245#14519759—42no—
246#14519758—24no—
247#14519755—24no—
248#14519751—42no—
249#14519749—24no—
250#14519749—42no—
251#14519749—42no—
252#14519748—24no—
253#14519747—24no—
254#14519747—24no—
255#14519747—24no—
256#14519746—24no—
257#14519745—24no—
258#14519745—24no—
259#14519745—24no—
260#14519745—24no—
261#14519745—24no—
262#14519745—42no—
263#14519745—42no—
264#14519745—42no—
265#14519745—42no—
266#14519745—42no—
267#14519745—42no—
268#14519745—42no—
269#14519745—42no—
270#14519745—42no—
271#14519745—42no—
272#14519745—42no—
273#14519745—42no—
274C4×C22⋊D61—24no—
275#14519737—24no—
276C2×C4⋊Dic61C2311yescharacteristic, complemented
277C2×C4⋊Dic61C2311yescharacteristic, complemented
278C2×C4⋊Dic61C2311yescharacteristic, complemented
279C2×C4⋊Dic61C2311yescharacteristic, complemented
280C2×#11758196C2311yescharacteristic, complemented
281C2×#11758196C2311yescharacteristic, complemented
282C2×#11758196C2311yescharacteristic, complemented
283C2×#11758196C2311yescharacteristic, complemented
284C2×#11758196C2311yescharacteristic, complemented
285C2×#11758196C2311yescharacteristic, complemented
286C2×#11758196C2311yescharacteristic, complemented
287C2×#11758196C2311yescharacteristic, complemented
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic, complemented
308C2×C22⋊Dic61C2311yescharacteristic, complemented
309C2×C22⋊Dic61C2311yescharacteristic, complemented
310C2×C22⋊Dic61C2311yescharacteristic, complemented
311C2×C22⋊Dic61C2311yescharacteristic, complemented
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
341C2×#11758198C2311yescharacteristic
342C2×#11758198C2311yescharacteristic, complemented
343C2×#11758198C2311yescharacteristic, complemented
344C2×#11758198C2311yescharacteristic, complemented
345C2×#11758198C2311yescharacteristic, complemented
346C2×#11758198C2311yescharacteristic, complemented
347C2×#11758198C2311yescharacteristic, complemented
348C22⋊C4×D61—24no—
349C22⋊C4×D61—24no—
350C22⋊C4×D61D418yescomplemented
351C2×C4×Dic61C2311yescharacteristic, complemented
352C2×C4×Dic61C2311yescharacteristic, complemented
353C2×C4×Dic61C2311yescharacteristic, complemented
354C2×C4×Dic61C2311yescharacteristic, complemented
355C2×C4×Dic61C2311yescharacteristic, 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
368C25×C61C2311yescharacteristic
369C22×D4×C61C2311yescharacteristic
370C22×D4×C61C2311yescharacteristic
371C22×D4×C61C2311yescharacteristic
372C22×D4×C61C2311yescharacteristic
373C22×D4×C61C2311yescharacteristic
374C22×D4×C61C2311yescharacteristic
375C22×D4×C61C2311yescharacteristic
376C22×D4×C61C2311yescharacteristic
377C22×D4×C61C2311yescharacteristic
378C22×D4×C61C2311yescharacteristic, complemented
379C22×D4×C61C2311yescharacteristic, complemented
380C22×D4×C61C2311yescharacteristic, complemented
381C23×C4×C61C2311yescharacteristic, complemented
382#127×C61—42no—
383#121×C61—24no—
384#121×C61—42no—
385#120×C61—24no—
386#120×C61—42no—
387#120×C61—42no—
388C2×C4⋊C4×C61C2311yescharacteristic, complemented
389C2×C4⋊C4×C61C2311yescharacteristic, complemented
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
421C24×C61C2411yescharacteristic
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—22no—
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—41no—
470C23×D61—416no—
471C23×D61—416no—
472C23×D61—416no—
473C23×D61—416no—
474C23×D61—416no—
475C23×D61—416no—
476C23×D61—416no—
477C23×D61C2×D414yes—
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—22no—
492C2×D4×C61—22no—
493C2×D4×C61—22no—
494C2×D4×C61—22no—
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—
504C2×D4×C61—41no—
505C2×D4×C61—41no—
506C2×D4×C61—41no—
507C2×D4×C61—41no—
508C2×D4×C61—41no—
509C2×D4×C61—41no—
510C2×D4×C61—41no—
511C2×D4×C61—41no—
512C2×D4×C61—41no—
513C2×D4×C61—41no—
514C2×D4×C61—41no—
515C2×D4×C61—41no—
516C2×D4×C61—41no—
517C2×D4×C61—41no—
518C2×D4×C61—41no—
519C22×C4×C61—22no—
520C22×C4×C61—41no—
521C22×C4×C61—41no—
522C22×C4×C61C2411yescharacteristic
523C22×C4×C61C2411yescharacteristic
524C22×C4×C61C2411yescharacteristic
525C22×C4×C61C2411yescharacteristic
526C22×C4×C61C2411yescharacteristic
527C22×C4×C61C2411yescharacteristic
528C22×C4×C61C2411yescharacteristic
529C22×C4×C61C2411yescharacteristic
530C22×C4×C61C2411yescharacteristic
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—22no—
541C2×C22⋊D61—22no—
542C2×C22⋊D61—22no—
543C2×C22⋊D61—22no—
544C2×C22⋊D61—22no—
545C2×C22⋊D61—22no—
546C2×C22⋊D61—22no—
547C2×C22⋊D61—22no—
548C2×C22⋊D61—22no—
549C2×C22⋊D61—22no—
550C2×C22⋊D61—22no—
551C2×C22⋊D61—22no—
552C2×C22⋊D61—22no—
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⋊D61—41no—
567C2×C22⋊D61—41no—
568C2×C22⋊D61—41no—
569C2×C22⋊D61—41no—
570C2×C22⋊D61—41no—
571C2×C22⋊D61—41no—
572C2×C22⋊D61—41no—
573C2×C22⋊D61—41no—
574C2×C22⋊D61—41no—
575C2×C22⋊D61—41no—
576C2×C22⋊D61—41no—
577C2×C22⋊D61—41no—
578C2×C22⋊D61—41no—
579C22×Dic61—22no—
580C22×Dic61—41no—
581C22×Dic61—41no—
582C22×Dic61C2411yescharacteristic
583C22×Dic61C2411yescharacteristic
584C22×Dic61C2411yescharacteristic
585C22×Dic61C2411yescharacteristic
586C22×Dic61C2411yescharacteristic
587C22×Dic61C2411yescharacteristic
588C22×Dic61C2411yescharacteristic
589C22×Dic61C2411yescharacteristic
590C22×Dic61C2411yescharacteristic
591C22×Dic61C2411yescharacteristic
592C22×Dic61C2411yescharacteristic
593D4×D61—416no—
594D4×D61—416no—
595D4×D61—416no—
596C2×D244—22no—
597C2×D244—22no—
598C2×D244—22no—
599C2×D244—22no—
600C2×D244—22no—
601C2×D244—41no—
602C2×D244—41no—
603C2×D244—41no—
604C2×D244—41no—
605C2×C4×D61—22no—
606C2×C4×D61—22no—
607C2×C4×D61—22no—
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—41no—
619C22⋊C4×C61—22no—
620C22⋊C4×C61—22no—
621C22⋊C4×C61—22no—
622C22⋊C4×C61—22no—
623C22⋊C4×C61—22no—
624C22⋊C4×C61—41no—
625C22⋊C4×C61—41no—
626C22⋊C4×C61—41no—
627C22⋊C4×C61—41no—
628C22⋊C4×C61—41no—
629C22⋊C4×C61—41no—
630C22⋊C4×C61—41no—
631C22⋊C4×C61—41no—
632C22⋊C4×C61C2×D414yes—
633C42×C61—41no—
634C22⋊Dic61—22no—
635C22⋊Dic61—22no—
636C22⋊Dic61—22no—
637C22⋊Dic61—22no—
638C22⋊Dic61—22no—
639C22⋊Dic61—22no—
640C22⋊Dic61—22no—
641C22⋊Dic61—22no—
642C22⋊Dic61—22no—
643C22⋊Dic61—41no—
644C22⋊Dic61—41no—
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⋊Dic61—41no—
656C22⋊Dic61—41no—
657C22⋊Dic61C2×D414yes—
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#11758198C2×D414yes—
693#11758198C2×D414yes—
694C4⋊Dic61—22no—
695C4⋊Dic61—41no—
696C4⋊Dic61—41no—
697C4⋊Dic61—41no—
698#11758196—22no—
699#11758196—22no—
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—21no—
744C23×C61—21no—
745C23×C61—21no—
746C23×C61—21no—
747C23×C61—21no—
748C23×C61—21no—
749C23×C61—21no—
750C23×C61—44no—
751C23×C61—44no—
752C23×C61—44no—
753C23×C61—44no—
754C23×C61—44no—
755C23×C61—44no—
756C23×C61—44no—
757C23×C61C22×D412yes—
758C23×C61H(5,𝔽2)12yes—
759C23×C61H(5,𝔽2)12yes—
760C23×C61C2511yescharacteristic
761C22×D61—21no—
762C22×D61—21no—
763C22×D61—21no—
764C22×D61—21no—
765C22×D61—28no—
766C22×D61—28no—
767C22×D61—21no—
768C22×D61—21no—
769C22×D61—21no—
770C22×D61—21no—
771C22×D61—21no—
772C22×D61—21no—
773C22×D61—21no—
774C22×D61—21no—
775C22×D61—21no—
776C22×D61—21no—
777C22×D61—21no—
778C22×D61—21no—
779C22×D61—21no—
780C22×D61—21no—
781C22×D61—21no—
782C22×D61—21no—
783C22×D61—21no—
784C22×D61—21no—
785C22×D61—28no—
786C22×D61—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—
853D4×C61—82no—
854D4×C61—82no—
855D4×C61—82no—
856D4×C61—82no—
857D4×C61—82no—
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—82no—
884C2×C4×C61C22×D412yes—
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—21no—
932C2×Dic61—21no—
933C2×Dic61—82no—
934C2×Dic61C22×D412yes—
935C2×Dic61C22×D412yes—
936D244—44no—
937D244—44no—
938D244—44no—
939C4×D61—44no—
940C4×D61—44no—
941C4×D61—44no—
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×C61—41no—
981C22×C61—41no—
982C22×C61—41no—
983C22×C61—41no—
984C22×C61—41no—
985C22×C61—41no—
986C22×C61—41no—
987C22×C61C23×D411yescharacteristic
988C22×C61C2×H(5,𝔽2)11yescharacteristic
989C22×C61C2×H(5,𝔽2)11yescharacteristic
990C22×C61C2×H(5,𝔽2)11yescharacteristic
991C22×C61C2×H(5,𝔽2)11yescharacteristic
992C22×C61C2×H(5,𝔽2)11yescharacteristic
993C22×C61C2×H(5,𝔽2)11yescharacteristic
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—416no—
1010C2×D61—416no—
1011C2×D61—416no—
1012C2×D61—416no—
1013C2×D61—416no—
1014C2×D61—416no—
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—
1045Dic61—22no—
1046Dic61—22no—
1047Dic61—41no—
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#2678—611no—
1068#2670—611no—
1069#2670—611no—
1070#2670—611no—
1071#2670—611no—
1072#2669—611no—
1073#2669—611no—
1074#2669—611no—
1075#2669D6111yescharacteristic, complemented
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×C61—81no—
1093C2×C61C2×#53511yescharacteristic
1094C2×C61#348411yescharacteristic
1095C2×C61#348411yescharacteristic
1096C2×C61#353211yescharacteristic
1097C2×C61#353211yescharacteristic
1098C2×C61#353211yescharacteristic
1099C2×C61#353211yescharacteristic
1100D61—24no—
1101D61—42no—
1102D61—42no—
1103D61—42no—
1104D61—81no—
1105C26—611no—
1106C23×D4—611no—
1107C23×D4—611no—
1108C23×D4—611no—
1109#538—1228no—
1110C2×#127—611no—
1111C2×#127C2×D6111yescharacteristic, complemented
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×#123—611no—
1122C2×C22⋊Q8—611no—
1123C2×#121—611no—
1124C2×#121—611no—
1125C2×#121—611no—
1126C2×#121—611no—
1127C2×#121—611no—
1128C2×#121C2×D6111yescharacteristic, complemented
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—1228no—
1152C2×#120C2×D6111yescharacteristic
1153C2×#120C2×D6111yescharacteristic, complemented
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#397—611no—
1164#396—611no—
1165#396—611no—
1166#396—611no—
1167#396—611no—
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#392C2×D6111yescharacteristic, complemented
1205#392C2×D6111yescharacteristic, complemented
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#390—611no—
1219#390—611no—
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#388C2×D6111yescharacteristic, complemented
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#379—611no—
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—1224no—
1299C22×D4—1224no—
1300C22×D4—1224no—
1301C22×D4—2442no—
1302C22×D4—2442no—
1303C22×D4—2442no—
1304C22×D4—2442no—
1305C22×D4—2442no—
1306C22×D4—2442no—
1307C22×D4C22×D6111yescharacteristic
1308C22×D4C22×D6111yescharacteristic
1309C22×D4C22×D6111yescharacteristic
1310C22×D4C22×D6111yescharacteristic
1311C22×D4C22×D6111yescharacteristic
1312C22×D4C22×D6111yescharacteristic
1313C22×D4C22×D6111yescharacteristic
1314C22×D4C22×D6111yescharacteristic
1315C22×D4C22×D6111yescharacteristic
1316C22×D4C22×D6111yescharacteristic, complemented
1317C22×D4C22×D6111yescharacteristic, complemented
1318C22×D4C22×D6111yescharacteristic, complemented
1319C23×C4—611no—
1320C23×C4—611no—
1321C23×C4—611no—
1322C23×C4—611no—
1323C23×C4C22×D6111yescharacteristic, complemented
1324#127—42no—
1325#127—2442no—
1326#126—1224no—
1327#126—1224no—
1328#124—1224no—
1329#124—1224no—
1330#124—2442no—
1331#124—2442no—
1332#123—1224no—
1333#123—1224no—
1334#123—2442no—
1335#123—2442no—
1336C22⋊Q8—1224no—
1337#121—24no—
1338#121—42no—
1339#121—1224no—
1340#121—1224no—
1341#121—2442no—
1342#121—2442no—
1343#121—2442no—
1344#120—24no—
1345#120—42no—
1346#120—42no—
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—1224no—
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⋊C4—611no—
1381C2×C4⋊C4—611no—
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—611no—
1443C2×C22⋊C4—611no—
1444C2×C22⋊C4—611no—
1445C2×C22⋊C4—1224no—
1446C2×C22⋊C4—1224no—
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—1222no—
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—2441no—
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—24416no—
1545C24—24416no—
1546C24—24416no—
1547C24—24416no—
1548C24—24416no—
1549C24—24416no—
1550C24—24416no—
1551C24C23×D6111yescharacteristic
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—22no—
1569C2×D4—22no—
1570C2×D4—22no—
1571C2×D4—22no—
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—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—41no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—41no—
1594C2×D4—41no—
1595C2×D4—41no—
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—1222no—
1621C2×D4—1222no—
1622C2×D4—1222no—
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—611no—
1672C22×C4—1222no—
1673C22×C4—1222no—
1674C22×C4—1222no—
1675C22×C4—1222no—
1676C22×C4—2441no—
1677C22×C4—2441no—
1678C22×C4—2441no—
1679C22×C4—2441no—
1680C22×C4—2441no—
1681C22×C4—2441no—
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—41no—
1693C4⋊C4—1222no—
1694C4⋊C4—1222no—
1695C4⋊C4—1222no—
1696C4⋊C4—1222no—
1697C4⋊C4—1222no—
1698C4⋊C4—2441no—
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—41no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—41no—
1715C22⋊C4—41no—
1716C22⋊C4—41no—
1717C22⋊C4—41no—
1718C22⋊C4—614no—
1719C22⋊C4—614no—
1720C22⋊C4—614no—
1721C22⋊C4—1222no—
1722C22⋊C4—1222no—
1723C22⋊C4—1222no—
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—2441no—
1747C22⋊C4—2441no—
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—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—21no—
1823C23—21no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—44no—
1830C23—44no—
1831C23—612no—
1832C23—612no—
1833C23—612no—
1834C23—612no—
1835C23—612no—
1836C23—612no—
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—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#1451982212yes—
1919C23C24×D6111yescharacteristic
1920Q8—4882no—
1921D4—44no—
1922D4—44no—
1923D4—44no—
1924D4—82no—
1925D4—82no—
1926D4—82no—
1927D4—82no—
1928D4—82no—
1929D4—82no—
1930D4—82no—
1931D4—82no—
1932D4—82no—
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—82no—
1978C2×C4—612no—
1979C2×C4—612no—
1980C2×C4—1221no—
1981C2×C4—1221no—
1982C2×C4—1221no—
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—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—614no—
2061C22—1222no—
2062C22—1222no—
2063C22—1222no—
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—4888no—
2077C22—24416no—
2078C22—24416no—
2079C22—24416no—
2080C22—24416no—
2081C22—24416no—
2082C22—24416no—
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×#1451982211yescharacteristic
2109C4—22no—
2110C4—22no—
2111C4—41no—
2112C4—41no—
2113C4—41no—
2114C4—41no—
2115C4—41no—
2116C4—41no—
2117C4—41no—
2118C4—1222no—
2119C4—1222no—
2120C4—2441no—
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—81no—
2135C2—1224no—
2136C2—4881no—
2137C2—2442no—
2138C2—2442no—
2139C2—2442no—
2140C2#535×D6111yescharacteristic
2141C2#2145944711yescharacteristic
2142C2#2145944711yescharacteristic
2143C2#2145996911yescharacteristic
2144C2#2145997111yescharacteristic
2145C2#2145997211yescharacteristic
2146C2#2145997311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2669C2
hypercenter#2669D61
hypocenterC61#36703
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#16840344C2semidirect
2. C2×#120×D61C2semidirect
3. #21454095C2semidirect
4. #21454095C2semidirect
5. #21452209C2semidirect
6. #21452208C2semidirect
7. #21452207C2semidirect
8. #21452206C2semidirect
9. #21452147C2semidirect
10. #21452146C2semidirect
11. #21452145C2semidirect
12. #21452144C2semidirect
13. #21452047C2semidirect
14. #21452046C2semidirect
15. #21452044C2semidirect
16. #21452041C2semidirect
17. #21452032C2semidirect
18. #21452031C2semidirect
19. #21452030C2semidirect
20. #21451530C2semidirect
21. #21451530C2semidirect
22. #21450975C2semidirect
23. #21450744C2semidirect
24. #21450707C2semidirect
25. #21450704C2semidirect
26. #21449465C2semidirect
27. #21449453C2semidirect
28. #21449171C2semidirect
29. #21449168C2semidirect
30. #21448413C2semidirect
31. C61×#2669C2semidirect
37. C2×#14519773C22semidirect
38. C2×#14519772C22semidirect
39. C2×#14519770C22semidirect
40. C2×#14519764C22semidirect
41. C2×#14519763C22semidirect
42. C2×#14519763C22semidirect
43. C2×#14519763C22semidirect
44. C2×#14519760C22semidirect
45. C2×#14519759C22semidirect
46. C2×#14519759C22semidirect
47. C2×#14519758C22semidirect
48. C2×#14519755C22semidirect
49. C2×#14519751C22semidirect
50. C2×#14519749C22semidirect
51. C2×#14519749C22semidirect
52. C2×#14519749C22semidirect
53. C2×#14519748C22semidirect
67. C2×#14519745C22semidirect
68. C2×#14519745C22semidirect
69. C2×#14519745C22semidirect
70. C2×#14519745C22semidirect
71. C2×#14519745C22semidirect
72. C2×#14519745C22semidirect
73. C2×#14519745C22semidirect
74. C2×#14519745C22semidirect
76. C2×C4×C22⋊D61C22semidirect
77. C2×#14519737C22semidirect
81. #16839699C22semidirect
82. #16839698C22semidirect
83. #16839691C22semidirect
84. #16839690C22semidirect
85. #16839686C22semidirect
86. #16839685C22semidirect
87. #16839685C22semidirect
88. #16839684C22semidirect
89. #16839680C22semidirect
90. #16839680C22semidirect
91. #16839680C22semidirect
92. #16839680C22semidirect
93. #16839679C22semidirect
94. #16839678C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
98. #16839678C22semidirect
99. #16839677C22semidirect
100. #16839677C22semidirect
101. #16839677C22semidirect
102. #16839676C22semidirect
103. #16839676C22semidirect
104. #16839676C22semidirect
105. #16839676C22semidirect
106. #16839676C22semidirect
107. #16839675C22semidirect
108. #16839674C22semidirect
109. #16839671C22semidirect
110. #16839671C22semidirect
111. #16839671C22semidirect
112. #16839670C22semidirect
113. #16839670C22semidirect
114. #16839670C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839670C22semidirect
122. #16839670C22semidirect
123. #16839665C22semidirect
124. #16839665C22semidirect
125. #16839665C22semidirect
126. #16839665C22semidirect
127. #16839664C22semidirect
128. #16839663C22semidirect
129. #16839662C22semidirect
130. #16839662C22semidirect
131. #16839662C22semidirect
132. #16839662C22semidirect
133. #16839662C22semidirect
134. #16839662C22semidirect
135. #16839656C22semidirect
136. #16839656C22semidirect
137. #16839655C22semidirect
138. #16839655C22semidirect
139. #16839654C22semidirect
140. #16839654C22semidirect
141. #16839653C22semidirect
142. #16839653C22semidirect
143. #16839652C22semidirect
144. #16839652C22semidirect
145. #16839651C22semidirect
146. #16839651C22semidirect
147. #16839650C22semidirect
148. #16839650C22semidirect
149. #16839642C22semidirect
150. #16839641C22semidirect
151. #16839639C22semidirect
152. #16839624C22semidirect
153. #16839624C22semidirect
154. #16839621C22semidirect
155. #16839619C22semidirect
156. #16839618C22semidirect
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×#127×C61C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#121×C61C22semidirect
178. C2×#120×C61C22semidirect
179. C2×#120×C61C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#392C22semidirect
183. C61×#392C22semidirect
184. C61×#392C22semidirect
185. C61×#392C22semidirect
186. C61×#388C22semidirect
187. C61×#388C22semidirect
188. C61×#386C22semidirect
203. C22×Dic122C23semidirect
221. C22×C22⋊D61C23semidirect
222. C22×C22⋊D61C23semidirect
232. C23×Dic61C23semidirect
276. C2×C4⋊Dic61C23semidirect
277. C2×C4⋊Dic61C23semidirect
278. C2×C4⋊Dic61C23semidirect
279. C2×C4⋊Dic61C23semidirect
280. C2×#11758196C23semidirect
281. C2×#11758196C23semidirect
282. C2×#11758196C23semidirect
283. C2×#11758196C23semidirect
284. C2×#11758196C23semidirect
285. C2×#11758196C23semidirect
286. C2×#11758196C23semidirect
287. C2×#11758196C23semidirect
303. C2×C22⋊Dic61C23semidirect
304. C2×C22⋊Dic61C23semidirect
305. C2×C22⋊Dic61C23semidirect
306. C2×C22⋊Dic61C23semidirect
307. C2×C22⋊Dic61C23semidirect
308. C2×C22⋊Dic61C23semidirect
309. C2×C22⋊Dic61C23semidirect
310. C2×C22⋊Dic61C23semidirect
311. C2×C22⋊Dic61C23semidirect
342. C2×#11758198C23semidirect
343. C2×#11758198C23semidirect
344. C2×#11758198C23semidirect
345. C2×#11758198C23semidirect
346. C2×#11758198C23semidirect
347. C2×#11758198C23semidirect
350. C22⋊C4×D61D4semidirect
351. C2×C4×Dic61C23semidirect
352. C2×C4×Dic61C23semidirect
353. C2×C4×Dic61C23semidirect
354. C2×C4×Dic61C23semidirect
355. C2×C4×Dic61C23semidirect
356. #14519684C23semidirect
357. #14519684C23semidirect
358. #14519684C23semidirect
359. #14519684C23semidirect
360. #14519684C23semidirect
361. #14519684C23semidirect
362. #14519684C23semidirect
363. #14519684C23semidirect
364. #14519684C23semidirect
365. #14519684C23semidirect
366. #14519684C23semidirect
367. #14519684C23semidirect
378. C22×D4×C61C23semidirect
379. C22×D4×C61C23semidirect
380. C22×D4×C61C23semidirect
381. C23×C4×C61C23semidirect
388. C2×C4⋊C4×C61C23semidirect
389. 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
1075. #2669D61semidirect
1111. C2×#127C2×D61semidirect
1128. C2×#121C2×D61semidirect
1129. C2×#121C2×D61semidirect
1153. C2×#120C2×D61semidirect
1154. C2×#120C2×D61semidirect
1186. #394C2×D61semidirect
1187. #394C2×D61semidirect
1204. #392C2×D61semidirect
1205. #392C2×D61semidirect
1206. #392C2×D61semidirect
1207. #392C2×D61semidirect
1234. #388C2×D61semidirect
1235. #388C2×D61semidirect
1239. #386C2×D61semidirect
1262. C61#36703semidirect
1316. C22×D4C22×D61semidirect
1317. C22×D4C22×D61semidirect
1318. C22×D4C22×D61semidirect
1323. C23×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×#168403442
C2×#120×D612
#214540952
#214522092
#214522082
#214522072
#214522062
#214521472
#214521462
#214521452
#214521442
#214520472
#214520462
#214520442
#214520412
#214520322
#214520312
#214520302
#214515302
#214509752
#214507442
#214507072
#214507042
#214494652
#214494532
#214491712
#214491682
#214484132
C61×#26692
#3670361