Finite Group Databasebeta

← #29886972

Subgroups — #29886972

Order 15616.

3394 conjugacy classes of subgroups.

The subgroup lattice has 2116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840322C211yesmaximal, characteristic, complemented
2C2×#121×D61C211yesmaximal, characteristic, complemented
3#21454100C211yesmaximal, characteristic, complemented
4#21454098C211yesmaximal, characteristic, complemented
5#21452469C211yesmaximal, characteristic, complemented
6#21452468C211yesmaximal, characteristic, complemented
7#21452467C211yesmaximal, characteristic, complemented
8#21452466C211yesmaximal, characteristic, complemented
9#21452460C211yesmaximal, characteristic, complemented
10#21452458C211yesmaximal, characteristic, complemented
11#21452457C211yesmaximal, characteristic, complemented
12#21452455C211yesmaximal, characteristic, complemented
13#21452038C211yesmaximal, characteristic, complemented
14#21452036C211yesmaximal, characteristic, complemented
15#21452035C211yesmaximal, characteristic, complemented
16#21452033C211yesmaximal, characteristic, complemented
17#21452033C211yesmaximal, characteristic, complemented
18#21452032C211yesmaximal, characteristic, complemented
19#21452031C211yesmaximal, characteristic, complemented
20#21451558C211yesmaximal, characteristic, complemented
21#21451552C211yesmaximal, characteristic, complemented
22#21451297C211yesmaximal, characteristic, complemented
23#21451293C211yesmaximal, characteristic, complemented
24#21449453C211yesmaximal, characteristic, complemented
25#21449451C211yesmaximal, characteristic, complemented
26#21449130C211yesmaximal, characteristic, complemented
27#21449130C211yesmaximal, characteristic, complemented
28#21449128C211yesmaximal, characteristic, complemented
29#21449128C211yesmaximal, characteristic, complemented
30#21448413C211yesmaximal, characteristic, complemented
31C61×#2669C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36C22×D4×D61C2211yescharacteristic, complemented
37C23×C4×D61C2211yescharacteristic, complemented
38#16840322—28no—
39C2×#14519773C2211yescharacteristic, complemented
40C2×#14519773C2211yescharacteristic, complemented
41C2×#14519773C2211yescharacteristic, complemented
42C2×#14519761C2211yescharacteristic, complemented
43C2×#14519759C2211yescharacteristic, complemented
44C2×#14519759C2211yescharacteristic, complemented
45C2×#14519758C2211yescharacteristic, complemented
46C2×#14519752C2211yescharacteristic, complemented
47C2×#14519751C2211yescharacteristic, complemented
48C2×#14519750C2211yescharacteristic
49C2×#14519750C2211yescharacteristic
50C2×#14519750C2211yescharacteristic, complemented
51C2×#14519750C2211yescharacteristic, complemented
52C2×#14519750C2211yescharacteristic, complemented
53C2×#14519749C2211yescharacteristic, complemented
54C2×#14519749C2211yescharacteristic, complemented
55C2×#14519749C2211yescharacteristic, complemented
56C2×#14519748C2211yescharacteristic
57C2×#14519748C2211yescharacteristic
58C2×#14519748C2211yescharacteristic, complemented
59C2×#14519748C2211yescharacteristic, complemented
60#121×D61—28no—
61C2×#14519747C2211yescharacteristic, complemented
62C2×#14519747C2211yescharacteristic, complemented
63C2×#14519747C2211yescharacteristic, complemented
64C2×#14519747C2211yescharacteristic, complemented
65C2×#14519746C2211yescharacteristic, complemented
66C2×#14519746C2211yescharacteristic, complemented
67C2×#14519746C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic, complemented
69C2×#14519745C2211yescharacteristic, complemented
70C2×#14519745C2211yescharacteristic, complemented
71C2×#14519745C2211yescharacteristic, complemented
72C2×#14519745C2211yescharacteristic, complemented
73C2×#14519745C2211yescharacteristic, complemented
74C2×#14519745C2211yescharacteristic, complemented
75C2×#14519745C2211yescharacteristic, complemented
76C2×#14519745C2211yescharacteristic, complemented
77C2×#14519745C2211yescharacteristic, complemented
78C2×C4⋊C4×D61C2211yescharacteristic, complemented
79C2×C22⋊C4×D61C2211yescharacteristic
80C2×C22⋊C4×D61C2211yescharacteristic, complemented
81#16839704C2211yescharacteristic, complemented
82#16839703C2211yescharacteristic, complemented
83#16839702C2211yescharacteristic, complemented
84#16839701C2211yescharacteristic, complemented
85#16839691C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic, complemented
87#16839689C2211yescharacteristic, complemented
88#16839687C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic, complemented
90#16839678C2211yescharacteristic, complemented
91#16839678C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic, complemented
93#16839677C2211yescharacteristic, complemented
94#16839677C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic, complemented
96#16839676C2211yescharacteristic, complemented
97#16839676C2211yescharacteristic, complemented
98#16839676C2211yescharacteristic, complemented
99#16839672C2211yescharacteristic, complemented
100#16839671C2211yescharacteristic, complemented
101#16839671C2211yescharacteristic, complemented
102#16839671C2211yescharacteristic, complemented
103#16839671C2211yescharacteristic, complemented
104#16839671C2211yescharacteristic, complemented
105#16839671C2211yescharacteristic, complemented
106#16839671C2211yescharacteristic, complemented
107#16839671C2211yescharacteristic, complemented
108#16839670C2211yescharacteristic, complemented
109#16839670C2211yescharacteristic, complemented
110#16839670C2211yescharacteristic, complemented
111#16839670C2211yescharacteristic, 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#16839664C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839656C2211yescharacteristic, complemented
128#16839656C2211yescharacteristic, complemented
129#16839655C2211yescharacteristic, complemented
130#16839655C2211yescharacteristic, complemented
131#16839655C2211yescharacteristic, complemented
132#16839654C2211yescharacteristic, complemented
133#16839653C2211yescharacteristic, complemented
134#16839653C2211yescharacteristic, complemented
135#16839652C2211yescharacteristic, complemented
136#16839652C2211yescharacteristic, complemented
137#16839651C2211yescharacteristic, complemented
138#16839650C2211yescharacteristic, complemented
139#16839650C2211yescharacteristic, complemented
140#16839650C2211yescharacteristic, complemented
141#16839642C2211yescharacteristic, complemented
142#16839642C2211yescharacteristic, complemented
143#16839642C2211yescharacteristic, complemented
144#16839642C2211yescharacteristic, complemented
145#16839641C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839640C2211yescharacteristic, complemented
149#16839640C2211yescharacteristic, complemented
150#16839640C2211yescharacteristic, complemented
151#16839639C2211yescharacteristic, complemented
152#16839639C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839638C2211yescharacteristic, complemented
156#16839638C2211yescharacteristic, complemented
157#16839638C2211yescharacteristic, complemented
158#16839638C2211yescharacteristic, complemented
159#16839638C2211yescharacteristic, complemented
160#16839638C2211yescharacteristic, complemented
161#16839638C2211yescharacteristic, complemented
162#16839638C2211yescharacteristic, complemented
163#16839638C2211yescharacteristic, complemented
164#16839622C2211yescharacteristic, complemented
165#16839621C2211yescharacteristic, complemented
166#16839621C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic
171#16839617C2211yescharacteristic
172C4×#11758198C2211yescharacteristic, complemented
173#16839609C2211yescharacteristic, complemented
174C2×#127×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#120×C61C2211yescharacteristic, complemented
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×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C24×D61C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×C22⋊D61—24no—
200C22×C22⋊D61—42no—
201C22×C22⋊D61—42no—
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
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
222C22×C22⋊D61C2311yescharacteristic
223C22×C22⋊D61C2311yescharacteristic
224C2×D4×D61—24no—
225C2×D4×D61—24no—
226C2×D4×D61—24no—
227C2×D4×D61—24no—
228C2×D4×D61—42no—
229C2×D4×D61—42no—
230C2×D4×D61—42no—
231C2×D4×D61—42no—
232C2×D4×D61—42no—
233C2×D4×D61—42no—
234C2×D4×D61—42no—
235C2×D4×D61—42no—
236C23×Dic61C2311yescharacteristic
237C23×Dic61C2311yescharacteristic
238C22×C4×D61—24no—
239C22×C4×D61—42no—
240C22×C4×D61—42no—
241C22×C4×D61C2311yescharacteristic
242C22×C4×D61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244C22×C4×D61C2311yescharacteristic
245C22×C4×D61C2311yescharacteristic
246C22×C4×D61C2311yescharacteristic
247C22×C4×D61C2311yescharacteristic
248#14519773—42no—
249#14519773—42no—
250#14519773—42no—
251#14519761—24no—
252#14519759—24no—
253#14519759—24no—
254#14519758—24no—
255#14519752—24no—
256#14519751—24no—
257#14519750—24no—
258#14519750—24no—
259#14519750—24no—
260#14519750—24no—
261#14519750—42no—
262#14519749—24no—
263#14519749—24no—
264#14519749—42no—
265#14519748—24no—
266#14519748—24no—
267#14519748—24no—
268#14519748—42no—
269#14519747—42no—
270#14519747—42no—
271#14519747—42no—
272#14519747—42no—
273#14519746—24no—
274#14519746—42no—
275#14519746—42no—
276#14519745—24no—
277#14519745—24no—
278#14519745—42no—
279#14519745—42no—
280#14519745—42no—
281#14519745—42no—
282#14519745—42no—
283#14519745—42no—
284#14519745—42no—
285#14519745—42no—
286C2×C4⋊Dic61C2311yescharacteristic
287C2×C4⋊Dic61C2311yescharacteristic
288C2×C4⋊Dic61C2311yescharacteristic
289C2×C4⋊Dic61C2311yescharacteristic
290C2×#11758196C2311yescharacteristic
291C2×#11758196C2311yescharacteristic
292C2×#11758196C2311yescharacteristic
293C2×#11758196C2311yescharacteristic
294C2×#11758196C2311yescharacteristic
295C2×#11758196C2311yescharacteristic
296C4⋊C4×D61—24no—
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic
308C2×C22⋊Dic61C2311yescharacteristic
309C2×C22⋊Dic61C2311yescharacteristic
310C2×C22⋊Dic61C2311yescharacteristic
311C2×C22⋊Dic61C2311yescharacteristic
312C2×C22⋊Dic61C2311yescharacteristic
313C2×C22⋊Dic61C2311yescharacteristic
314C2×C22⋊Dic61C2311yescharacteristic
315C2×C22⋊Dic61C2311yescharacteristic
316C2×C22⋊Dic61C2311yescharacteristic
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
343C22⋊C4×D61—24no—
344C22⋊C4×D61D418yescomplemented
345C2×C4×Dic61C2311yescharacteristic
346C2×C4×Dic61C2311yescharacteristic
347C2×C4×Dic61C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360#14519684C2311yescharacteristic
361#14519684C2311yescharacteristic
362#14519684C2311yescharacteristic
363#14519684C2311yescharacteristic
364#14519684C2311yescharacteristic
365#14519684C2311yescharacteristic
366#14519684C2311yescharacteristic
367#14519684C2311yescharacteristic
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
379C22×D4×C61C2311yescharacteristic
380C22×D4×C61C2311yescharacteristic
381C23×C4×C61C2311yescharacteristic
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
389C2×C4⋊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
400C2×C22⋊C4×C61C2311yescharacteristic
401C2×C22⋊C4×C61C2311yescharacteristic
402C2×C22⋊C4×C61C2311yescharacteristic
403C2×C22⋊C4×C61C2311yescharacteristic
404C2×C42×C61C2311yescharacteristic
405#95×C61C2311yescharacteristic
406#95×C61C2311yescharacteristic
407#95×C61C2311yescharacteristic
408#95×C61C2311yescharacteristic
409C24×C61—22no—
410C24×C61—41no—
411C24×C61—41no—
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—41no—
434C23×D61—41no—
435C23×D61—41no—
436C23×D61—41no—
437C23×D61—41no—
438C23×D61—41no—
439C23×D61—41no—
440C23×D61—41no—
441C23×D61—41no—
442C23×D61—41no—
443C23×D61—41no—
444C23×D61—41no—
445C23×D61—41no—
446C23×D61—41no—
447C23×D61—41no—
448C23×D61—41no—
449C23×D61C2×D414yes—
450C23×D61C2411yescharacteristic
451C23×D61C2411yescharacteristic
452C23×D61C2411yescharacteristic
453C23×D61C2411yescharacteristic
454C23×D61C2411yescharacteristic
455C2×D4×C61—22no—
456C2×D4×C61—22no—
457C2×D4×C61—22no—
458C2×D4×C61—22no—
459C2×D4×C61—22no—
460C2×D4×C61—22no—
461C2×D4×C61—22no—
462C2×D4×C61—22no—
463C2×D4×C61—22no—
464C2×D4×C61—22no—
465C2×D4×C61—22no—
466C2×D4×C61—22no—
467C2×D4×C61—41no—
468C2×D4×C61—41no—
469C2×D4×C61—41no—
470C2×D4×C61—41no—
471C2×D4×C61—41no—
472C2×D4×C61—41no—
473C2×D4×C61—41no—
474C2×D4×C61—41no—
475C2×D4×C61—41no—
476C2×D4×C61—41no—
477C2×D4×C61—41no—
478C2×D4×C61—41no—
479C2×D4×C61—41no—
480C2×D4×C61—41no—
481C2×D4×C61—41no—
482C2×D4×C61—41no—
483C2×D4×C61—41no—
484C2×D4×C61—41no—
485C2×D4×C61—41no—
486C2×D4×C61—41no—
487C2×D4×C61—41no—
488C2×D4×C61—41no—
489C2×D4×C61—41no—
490C2×D4×C61—41no—
491C22×C4×C61—22no—
492C22×C4×C61—22no—
493C22×C4×C61—41no—
494C22×C4×C61C2411yescharacteristic
495C22×C4×C61C2411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—22no—
504C2×C22⋊D61—22no—
505C2×C22⋊D61—22no—
506C2×C22⋊D61—22no—
507C2×C22⋊D61—22no—
508C2×C22⋊D61—22no—
509C2×C22⋊D61—22no—
510C2×C22⋊D61—22no—
511C2×C22⋊D61—22no—
512C2×C22⋊D61—22no—
513C2×C22⋊D61—22no—
514C2×C22⋊D61—22no—
515C2×C22⋊D61—22no—
516C2×C22⋊D61—22no—
517C2×C22⋊D61—22no—
518C2×C22⋊D61—22no—
519C2×C22⋊D61—22no—
520C2×C22⋊D61—22no—
521C2×C22⋊D61—22no—
522C2×C22⋊D61—22no—
523C2×C22⋊D61—22no—
524C2×C22⋊D61—22no—
525C2×C22⋊D61—22no—
526C2×C22⋊D61—22no—
527C2×C22⋊D61—22no—
528C2×C22⋊D61—22no—
529C2×C22⋊D61—22no—
530C2×C22⋊D61—22no—
531C2×C22⋊D61—22no—
532C2×C22⋊D61—22no—
533C2×C22⋊D61—41no—
534C2×C22⋊D61—41no—
535C2×C22⋊D61—41no—
536C2×C22⋊D61—41no—
537C2×C22⋊D61—41no—
538C2×C22⋊D61—41no—
539C2×C22⋊D61—41no—
540C2×C22⋊D61—41no—
541C2×C22⋊D61—41no—
542C2×C22⋊D61—41no—
543C2×C22⋊D61—41no—
544C2×C22⋊D61—41no—
545C2×C22⋊D61—41no—
546C2×C22⋊D61—41no—
547C2×C22⋊D61—41no—
548C2×C22⋊D61—41no—
549C2×C22⋊D61—41no—
550C2×C22⋊D61—41no—
551C2×C22⋊D61—41no—
552C2×C22⋊D61—41no—
553C2×C22⋊D61—41no—
554C2×C22⋊D61—41no—
555C2×C22⋊D61—41no—
556C2×C22⋊D61—41no—
557C2×C22⋊D61—41no—
558C2×C22⋊D61—41no—
559C2×C22⋊D61—41no—
560C2×C22⋊D61—41no—
561C2×C22⋊D61—41no—
562C2×C22⋊D61—41no—
563C2×C22⋊D61—41no—
564C2×C22⋊D61—41no—
565C2×C22⋊D61—41no—
566C2×C22⋊D61—41no—
567C2×C22⋊D61—41no—
568C2×C22⋊D61—41no—
569C2×C22⋊D61—416no—
570C22×Dic61—22no—
571C22×Dic61—22no—
572C22×Dic61—22no—
573C22×Dic61—41no—
574C22×Dic61—41no—
575C22×Dic61—41no—
576C22×Dic61C2411yescharacteristic
577C22×Dic61C2411yescharacteristic
578C22×Dic61C2411yescharacteristic
579C22×Dic61C2411yescharacteristic
580C22×Dic61C2411yescharacteristic
581C22×Dic61C2411yescharacteristic
582C22×Dic61C2411yescharacteristic
583C22×Dic61C2411yescharacteristic
584C22×Dic61C2411yescharacteristic
585C22×Dic61C2411yescharacteristic
586C22×Dic61C2411yescharacteristic
587D4×D61—416no—
588D4×D61—416no—
589D4×D61—416no—
590D4×D61—416no—
591C2×D244—22no—
592C2×D244—22no—
593C2×D244—22no—
594C2×D244—22no—
595C2×D244—22no—
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×D244—41no—
606C2×D244—41no—
607C2×D244—41no—
608C2×D244—41no—
609C2×C4×D61—22no—
610C2×C4×D61—22no—
611C2×C4×D61—22no—
612C2×C4×D61—22no—
613C2×C4×D61—22no—
614C2×C4×D61—22no—
615C2×C4×D61—22no—
616C2×C4×D61—22no—
617C2×C4×D61—22no—
618C2×C4×D61—416no—
619C2×C4×D61—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×D61—41no—
627C2×C4×D61—41no—
628C2×C4×D61—41no—
629C2×C4×D61C2×D414yes—
630C2×C4×D61C2×D414yes—
631C4⋊C4×C61—22no—
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—41no—
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×C61C2×D414yes—
647C42×C61—41no—
648C22⋊Dic61—22no—
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—
665C22⋊Dic61—41no—
666C22⋊Dic61—41no—
667C22⋊Dic61C2×D414yes—
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—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—22no—
696C4⋊Dic61—22no—
697C4⋊Dic61—41no—
698#11758196—22no—
699#11758196—22no—
700#11758196—22no—
701#11758196—22no—
702#11758196—41no—
703#11758196—41no—
704C4×Dic61—41no—
705C4×Dic61—41no—
706C4×Dic61—41no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—21no—
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—44no—
748C23×C61—82no—
749C23×C61—82no—
750C23×C61—82no—
751C23×C61—82no—
752C23×C61—82no—
753C23×C61—82no—
754C23×C61C22×D412yes—
755C23×C61H(5,𝔽2)12yes—
756C23×C61C2511yescharacteristic
757C22×D61—21no—
758C22×D61—21no—
759C22×D61—21no—
760C22×D61—21no—
761C22×D61—28no—
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—28no—
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—21no—
786C22×D61—21no—
787C22×D61—21no—
788C22×D61—21no—
789C22×D61—44no—
790C22×D61—44no—
791C22×D61—44no—
792C22×D61—44no—
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—82no—
802C22×D61—82no—
803C22×D61—82no—
804C22×D61—82no—
805C22×D61—82no—
806C22×D61—82no—
807C22×D61—82no—
808C22×D61—82no—
809C22×D61—82no—
810C22×D61—82no—
811C22×D61—82no—
812C22×D61—82no—
813C22×D61—82no—
814C22×D61—82no—
815C22×D61C22×D412yes—
816C22×D61C22×D412yes—
817C22×D61H(5,𝔽2)12yes—
818C22×D61H(5,𝔽2)12yes—
819C22×D61H(5,𝔽2)12yes—
820D4×C61—44no—
821D4×C61—44no—
822D4×C61—44no—
823D4×C61—44no—
824D4×C61—82no—
825D4×C61—82no—
826D4×C61—82no—
827D4×C61—82no—
828D4×C61—82no—
829D4×C61—82no—
830D4×C61—82no—
831D4×C61—82no—
832C2×C4×C61—21no—
833C2×C4×C61—21no—
834C2×C4×C61—21no—
835C2×C4×C61—21no—
836C2×C4×C61—21no—
837C2×C4×C61—21no—
838C2×C4×C61—21no—
839C2×C4×C61—21no—
840C2×C4×C61—21no—
841C2×C4×C61—21no—
842C2×C4×C61—21no—
843C2×C4×C61—21no—
844C2×C4×C61—21no—
845C2×C4×C61—21no—
846C2×C4×C61—21no—
847C2×C4×C61—21no—
848C2×C4×C61—21no—
849C2×C4×C61—21no—
850C2×C4×C61—21no—
851C2×C4×C61—21no—
852C2×C4×C61—21no—
853C2×C4×C61—21no—
854C2×C4×C61—21no—
855C2×C4×C61—21no—
856C2×C4×C61—44no—
857C2×C4×C61C22×D412yes—
858C2×C4×C61C22×D412yes—
859C2×C4×C61H(5,𝔽2)12yes—
860C22⋊D61—44no—
861C22⋊D61—44no—
862C22⋊D61—44no—
863C22⋊D61—44no—
864C22⋊D61—44no—
865C22⋊D61—44no—
866C22⋊D61—44no—
867C22⋊D61—44no—
868C22⋊D61—44no—
869C22⋊D61—44no—
870C22⋊D61—44no—
871C22⋊D61—44no—
872C22⋊D61—82no—
873C22⋊D61—82no—
874C22⋊D61—82no—
875C22⋊D61—82no—
876C22⋊D61—82no—
877C22⋊D61—82no—
878C22⋊D61—82no—
879C22⋊D61—82no—
880C22⋊D61—82no—
881C22⋊D61—82no—
882C2×Dic61—21no—
883C2×Dic61—21no—
884C2×Dic61—21no—
885C2×Dic61—21no—
886C2×Dic61—21no—
887C2×Dic61—21no—
888C2×Dic61—21no—
889C2×Dic61—21no—
890C2×Dic61—21no—
891C2×Dic61—21no—
892C2×Dic61—21no—
893C2×Dic61—21no—
894C2×Dic61—21no—
895C2×Dic61—21no—
896C2×Dic61—21no—
897C2×Dic61—21no—
898C2×Dic61—21no—
899C2×Dic61—21no—
900C2×Dic61—21no—
901C2×Dic61—21no—
902C2×Dic61—21no—
903C2×Dic61—21no—
904C2×Dic61—21no—
905C2×Dic61—21no—
906C2×Dic61—21no—
907C2×Dic61—21no—
908C2×Dic61—21no—
909C2×Dic61—21no—
910C2×Dic61—21no—
911C2×Dic61—21no—
912C2×Dic61—44no—
913C2×Dic61—44no—
914C2×Dic61C22×D412yes—
915C2×Dic61C22×D412yes—
916C2×Dic61H(5,𝔽2)12yes—
917D244—44no—
918D244—44no—
919D244—44no—
920D244—44no—
921D244—82no—
922D244—82no—
923C4×D61—28no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930#36717—611nomaximal, Sylow
931C22×C61—22no—
932C22×C61—22no—
933C22×C61—22no—
934C22×C61—22no—
935C22×C61—22no—
936C22×C61—22no—
937C22×C61—41no—
938C22×C61—41no—
939C22×C61—41no—
940C22×C61—41no—
941C22×C61—41no—
942C22×C61—41no—
943C22×C61—41no—
944C22×C61—41no—
945C22×C61—41no—
946C22×C61—41no—
947C22×C61—41no—
948C22×C61—41no—
949C22×C61—41no—
950C22×C61—41no—
951C22×C61—41no—
952C22×C61—41no—
953C22×C61—41no—
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—88no—
974C22×C61C23×D411yescharacteristic
975C22×C61C2×H(5,𝔽2)11yescharacteristic
976C22×C61C2×H(5,𝔽2)11yescharacteristic
977C22×C61C2×H(5,𝔽2)11yescharacteristic
978C22×C61C2×H(5,𝔽2)11yescharacteristic
979C22×C61C2×H(5,𝔽2)11yescharacteristic
980C22×C61C2×H(5,𝔽2)11yescharacteristic
981C2×D61—22no—
982C2×D61—22no—
983C2×D61—22no—
984C2×D61—22no—
985C2×D61—22no—
986C2×D61—22no—
987C2×D61—22no—
988C2×D61—22no—
989C2×D61—22no—
990C2×D61—22no—
991C2×D61—22no—
992C2×D61—22no—
993C2×D61—416no—
994C2×D61—41no—
995C2×D61—41no—
996C2×D61—41no—
997C2×D61—41no—
998C2×D61—41no—
999C2×D61—41no—
1000C2×D61—41no—
1001C2×D61—41no—
1002C2×D61—41no—
1003C2×D61—41no—
1004C2×D61—41no—
1005C2×D61—41no—
1006C2×D61—41no—
1007C2×D61—41no—
1008C2×D61—41no—
1009C2×D61—41no—
1010C2×D61—41no—
1011C2×D61—41no—
1012C2×D61—41no—
1013C2×D61—41no—
1014C2×D61—41no—
1015C2×D61—41no—
1016C2×D61—88no—
1017C2×D61—88no—
1018C2×D61—88no—
1019C2×D61#53514yes—
1020C4×C61—22no—
1021C4×C61—22no—
1022C4×C61—22no—
1023C4×C61—41no—
1024C4×C61—41no—
1025C4×C61—41no—
1026C4×C61—41no—
1027C4×C61—41no—
1028C4×C61—41no—
1029Dic61—22no—
1030Dic61—22no—
1031Dic61—22no—
1032Dic61—41no—
1033Dic61—41no—
1034Dic61—41no—
1035Dic61—41no—
1036Dic61—41no—
1037Dic61—41no—
1038Dic61—41no—
1039Dic61—41no—
1040C2×#534—611no—
1041C22×#121—611no—
1042#2847—611no—
1043#2847—611no—
1044#2703—611no—
1045#2703—611no—
1046#2703—611no—
1047#2703—611no—
1048#2703—611no—
1049#2703—611no—
1050#2703—611no—
1051#2703—611no—
1052#2669—611no—
1053#2669—611no—
1054#2669—611no—
1055#2669—611no—
1056#2669—611no—
1057#2669—611no—
1058#2669—611no—
1059#2669D6111yescharacteristic, complemented
1060#2617—611no—
1061#2617—611no—
1062#2591—611no—
1063#2591—611no—
1064#2433—611no—
1065#2433—611no—
1066#2403—611no—
1067#2403—611no—
1068#2403—611no—
1069#2403—611no—
1070#2312—611no—
1071C2×C61—42no—
1072C2×C61—42no—
1073C2×C61—81no—
1074C2×C61—81no—
1075C2×C61—81no—
1076C2×C61—81no—
1077C2×C61C2×#53511yescharacteristic
1078C2×C61#348411yescharacteristic
1079C2×C61#348411yescharacteristic
1080C2×C61#353711yescharacteristic
1081C2×C61#353711yescharacteristic
1082C2×C61#353711yescharacteristic
1083C2×C61#353711yescharacteristic
1084D61—24no—
1085D61—42no—
1086D61—42no—
1087D61—81no—
1088D61—81no—
1089C23×D4—611no—
1090C23×D4—611no—
1091C23×D4—611no—
1092C23×D4—611no—
1093C23×D4—611no—
1094C24×C4—611no—
1095#534—1228no—
1096C2×#127—611no—
1097C2×#127—611no—
1098C2×#127—611no—
1099C2×#127C2×D6111yescharacteristic, complemented
1100C2×#123—611no—
1101C2×#123—611no—
1102C2×#123—611no—
1103C2×#123—611no—
1104C2×#121—611no—
1105C2×#121—611no—
1106C2×#121—611no—
1107C2×#121—611no—
1108C2×#121—611no—
1109C2×#121—611no—
1110C2×#121—611no—
1111C2×#121—611no—
1112C2×#121—611no—
1113C2×#121—611no—
1114C2×#121—611no—
1115C2×#121—611no—
1116C2×#121—611no—
1117C2×#121—611no—
1118C2×#121—1228no—
1119C2×#121C2×D6111yescharacteristic, complemented
1120C2×#121C2×D6111yescharacteristic, complemented
1121C2×#120—611no—
1122C2×#120—611no—
1123C2×#120—611no—
1124C2×#120—611no—
1125C2×#120—611no—
1126C2×#120—611no—
1127C2×#120—611no—
1128C2×#120—611no—
1129C2×#120—611no—
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×#120C2×D6111yescharacteristic, complemented
1139C2×#120C2×D6111yescharacteristic, complemented
1140C2×#120C2×D6111yescharacteristic, complemented
1141C22×C4⋊C4—611no—
1142C22×C22⋊C4—611no—
1143C22×C22⋊C4—611no—
1144#400—611no—
1145#400—611no—
1146#400—611no—
1147#400—611no—
1148#397—611no—
1149#397—611no—
1150#397—611no—
1151#397—611no—
1152#394—611no—
1153#394—611no—
1154#394—611no—
1155#394—611no—
1156#394—611no—
1157#394—611no—
1158#394—611no—
1159#394—611no—
1160#394—611no—
1161#394—611no—
1162#394C2×D6111yescharacteristic, complemented
1163#394C2×D6111yescharacteristic, complemented
1164#392—611no—
1165#392—611no—
1166#392—611no—
1167#392—611no—
1168#392—611no—
1169#392—611no—
1170#392—611no—
1171#392—611no—
1172#392—611no—
1173#392—611no—
1174#392—611no—
1175#392—611no—
1176#392—611no—
1177#392—611no—
1178#392—611no—
1179#392—611no—
1180#392—611no—
1181#392—611no—
1182#392—611no—
1183#392—611no—
1184#392—611no—
1185#392—611no—
1186#392—611no—
1187#392—611no—
1188#392C2×D6111yescharacteristic, complemented
1189#392C2×D6111yescharacteristic, complemented
1190#392C2×D6111yescharacteristic, complemented
1191#392C2×D6111yescharacteristic, complemented
1192#390—611no—
1193#390—611no—
1194#390—611no—
1195#390—611no—
1196#388—611no—
1197#388—611no—
1198#388—611no—
1199#388—611no—
1200#388—611no—
1201#388—611no—
1202#388—611no—
1203#388—611no—
1204#388—611no—
1205#388—611no—
1206#388—611no—
1207#388—611no—
1208#388—611no—
1209#388—611no—
1210#388C2×D6111yescharacteristic, complemented
1211#388C2×D6111yescharacteristic, complemented
1212#386—611no—
1213#386—611no—
1214#386—611no—
1215#386—611no—
1216#386—611no—
1217#386—611no—
1218#386—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#386C2×D6111yescharacteristic, complemented
1236#380—611no—
1237#380—611no—
1238#380—611no—
1239#380—611no—
1240#380—611no—
1241#380—611no—
1242#379—611no—
1243#379—611no—
1244C4×C22⋊C4—611no—
1245C4×C22⋊C4—611no—
1246C61#3671711yescharacteristic, complemented, Sylow
1247C25—611no—
1248C25—611no—
1249C25—611no—
1250C25—611no—
1251C25C22×D6111yescharacteristic
1252C22×D4—611no—
1253C22×D4—611no—
1254C22×D4—611no—
1255C22×D4—611no—
1256C22×D4—611no—
1257C22×D4—611no—
1258C22×D4—611no—
1259C22×D4—611no—
1260C22×D4—611no—
1261C22×D4—611no—
1262C22×D4—611no—
1263C22×D4—611no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—611no—
1273C22×D4—611no—
1274C22×D4—611no—
1275C22×D4—611no—
1276C22×D4—611no—
1277C22×D4—611no—
1278C22×D4—611no—
1279C22×D4—611no—
1280C22×D4—1224no—
1281C22×D4—1224no—
1282C22×D4—1224no—
1283C22×D4—1224no—
1284C22×D4—1224no—
1285C22×D4—2442no—
1286C22×D4—2442no—
1287C22×D4—2442no—
1288C22×D4—2442no—
1289C22×D4—2442no—
1290C22×D4—2442no—
1291C22×D4—2442no—
1292C22×D4—2442no—
1293C22×D4—2442no—
1294C22×D4—2442no—
1295C22×D4C22×D6111yescharacteristic
1296C22×D4C22×D6111yescharacteristic
1297C22×D4C22×D6111yescharacteristic
1298C22×D4C22×D6111yescharacteristic
1299C22×D4C22×D6111yescharacteristic
1300C22×D4C22×D6111yescharacteristic
1301C22×D4C22×D6111yescharacteristic
1302C22×D4C22×D6111yescharacteristic
1303C22×D4C22×D6111yescharacteristic
1304C22×D4C22×D6111yescharacteristic
1305C22×D4C22×D6111yescharacteristic
1306C22×D4C22×D6111yescharacteristic
1307C23×C4—611no—
1308C23×C4—611no—
1309C23×C4—611no—
1310C23×C4—611no—
1311C23×C4—611no—
1312C23×C4—611no—
1313C23×C4—611no—
1314C23×C4—611no—
1315C23×C4—611no—
1316C23×C4—1224no—
1317C23×C4—2442no—
1318C23×C4—2442no—
1319C23×C4C22×D6111yescharacteristic
1320#127—42no—
1321#127—2442no—
1322#127—2442no—
1323#127—2442no—
1324#123—1224no—
1325#123—1224no—
1326#123—1224no—
1327#123—1224no—
1328#121—24no—
1329#121—42no—
1330#121—1224no—
1331#121—1224no—
1332#121—1224no—
1333#121—1224no—
1334#121—1224no—
1335#121—1224no—
1336#121—1224no—
1337#121—1224no—
1338#121—1224no—
1339#121—1224no—
1340#121—1224no—
1341#121—2442no—
1342#121—2442no—
1343#121—2442no—
1344#120—24no—
1345#120—42no—
1346#120—42no—
1347#120—1224no—
1348#120—1224no—
1349#120—1224no—
1350#120—2442no—
1351#120—2442no—
1352#120—2442no—
1353#120—2442no—
1354#120—2442no—
1355#120—2442no—
1356#120—2442no—
1357#120—2442no—
1358#120—2442no—
1359#120—2442no—
1360#120—2442no—
1361#120—2442no—
1362#120—2442no—
1363#120—2442no—
1364C2×C4⋊C4—611no—
1365C2×C4⋊C4—611no—
1366C2×C4⋊C4—611no—
1367C2×C4⋊C4—611no—
1368C2×C4⋊C4—611no—
1369C2×C4⋊C4—611no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—1224no—
1375C2×C4⋊C4C22×D6111yescharacteristic
1376C2×C4⋊C4C22×D6111yescharacteristic
1377C2×C22⋊C4—611no—
1378C2×C22⋊C4—611no—
1379C2×C22⋊C4—611no—
1380C2×C22⋊C4—618no—
1381C2×C22⋊C4—611no—
1382C2×C22⋊C4—611no—
1383C2×C22⋊C4—611no—
1384C2×C22⋊C4—611no—
1385C2×C22⋊C4—611no—
1386C2×C22⋊C4—611no—
1387C2×C22⋊C4—611no—
1388C2×C22⋊C4—611no—
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—611no—
1392C2×C22⋊C4—611no—
1393C2×C22⋊C4—611no—
1394C2×C22⋊C4—611no—
1395C2×C22⋊C4—611no—
1396C2×C22⋊C4—611no—
1397C2×C22⋊C4—611no—
1398C2×C22⋊C4—611no—
1399C2×C22⋊C4—611no—
1400C2×C22⋊C4—611no—
1401C2×C22⋊C4—611no—
1402C2×C22⋊C4—611no—
1403C2×C22⋊C4—611no—
1404C2×C22⋊C4—611no—
1405C2×C22⋊C4—611no—
1406C2×C22⋊C4—611no—
1407C2×C22⋊C4—611no—
1408C2×C22⋊C4—611no—
1409C2×C22⋊C4—611no—
1410C2×C22⋊C4—611no—
1411C2×C22⋊C4—611no—
1412C2×C22⋊C4—611no—
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—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—1224no—
1425C2×C22⋊C4C22×D6111yescharacteristic
1426C2×C22⋊C4C22×D6111yescharacteristic
1427C2×C22⋊C4C22×D6111yescharacteristic
1428C2×C22⋊C4C22×D6111yescharacteristic
1429C2×C22⋊C4C22×D6111yescharacteristic
1430C2×C22⋊C4C22×D6111yescharacteristic
1431C2×C22⋊C4C22×D6111yescharacteristic
1432C2×C22⋊C4C22×D6111yescharacteristic
1433C2×C22⋊C4C22×D6111yescharacteristic
1434C2×C22⋊C4C22×D6111yescharacteristic
1435C2×C22⋊C4C22×D6111yescharacteristic
1436C2×C22⋊C4C22×D6111yescharacteristic
1437C2×C22⋊C4C22×D6111yescharacteristic
1438C2×C22⋊C4C22×D6111yescharacteristic
1439C2×C42—611no—
1440C2×C42—611no—
1441C2×C42—611no—
1442C2×C42C22×D6111yescharacteristic
1443#95—611no—
1444#95—611no—
1445#95—611no—
1446#95—611no—
1447#95—611no—
1448#95—611no—
1449#95—611no—
1450#95—611no—
1451#95—611no—
1452#95—611no—
1453#95—611no—
1454#95—611no—
1455#95—611no—
1456#95—611no—
1457#95—611no—
1458#95—611no—
1459#95—611no—
1460#95—611no—
1461#95—611no—
1462#95—611no—
1463#95C22×D6111yescharacteristic
1464#95C22×D6111yescharacteristic
1465#95C22×D6111yescharacteristic
1466#95C22×D6111yescharacteristic
1467C24—22no—
1468C24—41no—
1469C24—41no—
1470C24—41no—
1471C24—41no—
1472C24—41no—
1473C24—41no—
1474C24—611no—
1475C24—611no—
1476C24—611no—
1477C24—614no—
1478C24—611no—
1479C24—611no—
1480C24—1222no—
1481C24—1222no—
1482C24—1222no—
1483C24—1222no—
1484C24—1222no—
1485C24—1222no—
1486C24—1222no—
1487C24—1222no—
1488C24—1222no—
1489C24—1222no—
1490C24—1222no—
1491C24—2441no—
1492C24—2441no—
1493C24—2441no—
1494C24—2441no—
1495C24—2441no—
1496C24—2441no—
1497C24—2441no—
1498C24—2441no—
1499C24—2441no—
1500C24—2441no—
1501C24—2441no—
1502C24—2441no—
1503C24—2441no—
1504C24—2441no—
1505C24—2441no—
1506C24—2441no—
1507C24C23×D6111yescharacteristic
1508C24C23×D6111yescharacteristic
1509C24C23×D6111yescharacteristic
1510C24C23×D6111yescharacteristic
1511C24C23×D6111yescharacteristic
1512C24C23×D6111yescharacteristic
1513C2×D4—22no—
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—22no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—22no—
1523C2×D4—22no—
1524C2×D4—22no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—1222no—
1550C2×D4—1222no—
1551C2×D4—1222no—
1552C2×D4—1222no—
1553C2×D4—1222no—
1554C2×D4—1222no—
1555C2×D4—1222no—
1556C2×D4—1222no—
1557C2×D4—1222no—
1558C2×D4—1222no—
1559C2×D4—1222no—
1560C2×D4—1222no—
1561C2×D4—1222no—
1562C2×D4—1222no—
1563C2×D4—1222no—
1564C2×D4—1222no—
1565C2×D4—1222no—
1566C2×D4—1222no—
1567C2×D4—1222no—
1568C2×D4—1222no—
1569C2×D4—1222no—
1570C2×D4—1222no—
1571C2×D4—1222no—
1572C2×D4—1222no—
1573C2×D4—1222no—
1574C2×D4—1222no—
1575C2×D4—1222no—
1576C2×D4—1222no—
1577C2×D4—1222no—
1578C2×D4—1222no—
1579C2×D4—1222no—
1580C2×D4—1222no—
1581C2×D4—1222no—
1582C2×D4—1222no—
1583C2×D4—1222no—
1584C2×D4—1222no—
1585C2×D4—1222no—
1586C2×D4—1222no—
1587C2×D4—1222no—
1588C2×D4—1222no—
1589C2×D4—2441no—
1590C2×D4—2441no—
1591C2×D4—2441no—
1592C2×D4—2441no—
1593C2×D4—2441no—
1594C2×D4—2441no—
1595C2×D4—2441no—
1596C2×D4—2441no—
1597C2×D4—24416no—
1598C2×D4—2441no—
1599C2×D4—2441no—
1600C2×D4—2441no—
1601C2×D4—2441no—
1602C2×D4—2441no—
1603C2×D4—2441no—
1604C2×D4—2441no—
1605C2×D4—2441no—
1606C2×D4—2441no—
1607C2×D4—2441no—
1608C2×D4—2441no—
1609C2×D4—2441no—
1610C2×D4—2441no—
1611C2×D4—2441no—
1612C2×D4—2441no—
1613C2×D4—2441no—
1614C2×D4—2441no—
1615C2×D4—2441no—
1616C2×D4—2441no—
1617C2×D4—2441no—
1618C2×D4—2441no—
1619C2×D4—2441no—
1620C2×D4—2441no—
1621C2×D4—2441no—
1622C2×D4—2441no—
1623C2×D4—2441no—
1624C2×D4—2441no—
1625C2×D4—2441no—
1626C2×D4—2441no—
1627C2×D4—2441no—
1628C2×D4—2441no—
1629C2×D4—2441no—
1630C2×D4—2441no—
1631C2×D4—2441no—
1632C2×D4—2441no—
1633C2×D4—2441no—
1634C2×D4—24416no—
1635C2×D4—24416no—
1636C2×D4—24416no—
1637C2×D4—24416no—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—41no—
1641C22×C4—611no—
1642C22×C4—611no—
1643C22×C4—611no—
1644C22×C4—614no—
1645C22×C4—614no—
1646C22×C4—611no—
1647C22×C4—611no—
1648C22×C4—611no—
1649C22×C4—611no—
1650C22×C4—611no—
1651C22×C4—611no—
1652C22×C4—611no—
1653C22×C4—611no—
1654C22×C4—1222no—
1655C22×C4—1222no—
1656C22×C4—1222no—
1657C22×C4—1222no—
1658C22×C4—1222no—
1659C22×C4—1222no—
1660C22×C4—1222no—
1661C22×C4—1222no—
1662C22×C4—1222no—
1663C22×C4—1222no—
1664C22×C4—1222no—
1665C22×C4—1222no—
1666C22×C4—2441no—
1667C22×C4—2441no—
1668C22×C4—2441no—
1669C22×C4—2441no—
1670C22×C4—2441no—
1671C22×C4—2441no—
1672C22×C4—2441no—
1673C22×C4—2441no—
1674C22×C4—2441no—
1675C22×C4—2441no—
1676C22×C4—24416no—
1677C22×C4—2441no—
1678C22×C4—2441no—
1679C22×C4—2441no—
1680C22×C4C23×D6111yescharacteristic
1681C22×C4C23×D6111yescharacteristic
1682C22×C4C23×D6111yescharacteristic
1683C22×C4C23×D6111yescharacteristic
1684C22×C4C23×D6111yescharacteristic
1685C22×C4C23×D6111yescharacteristic
1686C22×C4C23×D6111yescharacteristic
1687C22×C4C23×D6111yescharacteristic
1688C22×C4C23×D6111yescharacteristic
1689C4⋊C4—22no—
1690C4⋊C4—41no—
1691C4⋊C4—1222no—
1692C4⋊C4—1222no—
1693C4⋊C4—1222no—
1694C4⋊C4—1222no—
1695C4⋊C4—1222no—
1696C4⋊C4—1222no—
1697C4⋊C4—1222no—
1698C4⋊C4—2441no—
1699C4⋊C4—2441no—
1700C4⋊C4—2441no—
1701C22⋊C4—22no—
1702C22⋊C4—22no—
1703C22⋊C4—22no—
1704C22⋊C4—22no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—41no—
1708C22⋊C4—41no—
1709C22⋊C4—41no—
1710C22⋊C4—41no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—614no—
1715C22⋊C4—614no—
1716C22⋊C4—614no—
1717C22⋊C4—1222no—
1718C22⋊C4—1222no—
1719C22⋊C4—1222no—
1720C22⋊C4—1222no—
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—2441no—
1736C22⋊C4—2441no—
1737C22⋊C4—2441no—
1738C22⋊C4—2441no—
1739C22⋊C4—2441no—
1740C22⋊C4—2441no—
1741C22⋊C4—2441no—
1742C22⋊C4—2441no—
1743C22⋊C4—2441no—
1744C22⋊C4—2441no—
1745C22⋊C4—2441no—
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⋊C4D4×D6114yes—
1761C42—41no—
1762C42—2441no—
1763C42—2441no—
1764C42—2441no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—21no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—44no—
1806C23—82no—
1807C23—82no—
1808C23—82no—
1809C23—82no—
1810C23—82no—
1811C23—82no—
1812C23—612no—
1813C23—612no—
1814C23—612no—
1815C23—612no—
1816C23—612no—
1817C23—1228no—
1818C23—1228no—
1819C23—1221no—
1820C23—1221no—
1821C23—1221no—
1822C23—1221no—
1823C23—1221no—
1824C23—1221no—
1825C23—1221no—
1826C23—1221no—
1827C23—1221no—
1828C23—1221no—
1829C23—1221no—
1830C23—1221no—
1831C23—1221no—
1832C23—1221no—
1833C23—1221no—
1834C23—1221no—
1835C23—1221no—
1836C23—1221no—
1837C23—1221no—
1838C23—1221no—
1839C23—1221no—
1840C23—1221no—
1841C23—1221no—
1842C23—1221no—
1843C23—1221no—
1844C23—1221no—
1845C23—1221no—
1846C23—1221no—
1847C23—1221no—
1848C23—1221no—
1849C23—4882no—
1850C23—4882no—
1851C23—4882no—
1852C23—4882no—
1853C23—4882no—
1854C23—4882no—
1855C23—4882no—
1856C23—4882no—
1857C23—4882no—
1858C23—4882no—
1859C23—4882no—
1860C23—4882no—
1861C23—4882no—
1862C23—4882no—
1863C23—2444no—
1864C23—2444no—
1865C23—2444no—
1866C23—2444no—
1867C23—2444no—
1868C23—2444no—
1869C23—2444no—
1870C23—2444no—
1871C23—2444no—
1872C23—2444no—
1873C23—2444no—
1874C23—2444no—
1875C23C2×D4×D6112yes—
1876C23#1451982212yes—
1877C23C24×D6111yescharacteristic
1878D4—44no—
1879D4—44no—
1880D4—44no—
1881D4—44no—
1882D4—82no—
1883D4—82no—
1884D4—82no—
1885D4—82no—
1886D4—82no—
1887D4—82no—
1888D4—82no—
1889D4—82no—
1890D4—4882no—
1891D4—4882no—
1892D4—4882no—
1893D4—4882no—
1894D4—4882no—
1895D4—4882no—
1896D4—4882no—
1897D4—4882no—
1898D4—4882no—
1899D4—4882no—
1900D4—4882no—
1901D4—4882no—
1902D4—2444no—
1903D4—2444no—
1904D4—2444no—
1905D4—2444no—
1906D4—2444no—
1907D4—2444no—
1908D4—2444no—
1909D4—2444no—
1910D4—2444no—
1911D4—2444no—
1912D4—2444no—
1913D4—2444no—
1914D4—2444no—
1915D4—2444no—
1916D4—2444no—
1917D4—2444no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—44no—
1943C2×C4—612no—
1944C2×C4—612no—
1945C2×C4—612no—
1946C2×C4—1228no—
1947C2×C4—1221no—
1948C2×C4—1221no—
1949C2×C4—1221no—
1950C2×C4—1221no—
1951C2×C4—1221no—
1952C2×C4—1221no—
1953C2×C4—1221no—
1954C2×C4—1221no—
1955C2×C4—1221no—
1956C2×C4—1221no—
1957C2×C4—1221no—
1958C2×C4—1221no—
1959C2×C4—1221no—
1960C2×C4—1221no—
1961C2×C4—1221no—
1962C2×C4—1221no—
1963C2×C4—1221no—
1964C2×C4—1221no—
1965C2×C4—1221no—
1966C2×C4—1221no—
1967C2×C4—1221no—
1968C2×C4—1221no—
1969C2×C4—1221no—
1970C2×C4—1221no—
1971C2×C4—1221no—
1972C2×C4—1221no—
1973C2×C4—1221no—
1974C2×C4—1221no—
1975C2×C4—1221no—
1976C2×C4—1221no—
1977C2×C4—2444no—
1978C2×C4—2444no—
1979C2×C4—2444no—
1980C2×C4—2444no—
1981C2×C4—2444no—
1982C2×C4—2444no—
1983C2×C4—2444no—
1984C2×C4—2444no—
1985C2×C4C2×D4×D6112yes—
1986C2×C4C2×D4×D6112yes—
1987C2×C4#1451982212yes—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—41no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—88no—
2031C22—614no—
2032C22—1222no—
2033C22—1222no—
2034C22—1222no—
2035C22—1222no—
2036C22—1222no—
2037C22—1222no—
2038C22—1222no—
2039C22—1222no—
2040C22—1222no—
2041C22—1222no—
2042C22—1222no—
2043C22—1222no—
2044C22—4888no—
2045C22—4888no—
2046C22—4888no—
2047C22—24416no—
2048C22—2441no—
2049C22—2441no—
2050C22—2441no—
2051C22—2441no—
2052C22—2441no—
2053C22—2441no—
2054C22—2441no—
2055C22—2441no—
2056C22—2441no—
2057C22—2441no—
2058C22—2441no—
2059C22—2441no—
2060C22—2441no—
2061C22—2441no—
2062C22—2441no—
2063C22—2441no—
2064C22—2441no—
2065C22—2441no—
2066C22—2441no—
2067C22—2441no—
2068C22—2441no—
2069C22—2441no—
2070C22C22×D4×D6111yescharacteristic
2071C22H(5,𝔽2)×D6111yescharacteristic
2072C22H(5,𝔽2)×D6111yescharacteristic
2073C22H(5,𝔽2)×D6111yescharacteristic
2074C22H(5,𝔽2)×D6111yescharacteristic
2075C22C2×#1451982211yescharacteristic
2076C22C2×#1451982211yescharacteristic
2077C4—22no—
2078C4—22no—
2079C4—22no—
2080C4—41no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—41no—
2086C4—1222no—
2087C4—1222no—
2088C4—1222no—
2089C4—2441no—
2090C4—2441no—
2091C4—2441no—
2092C4—2441no—
2093C4—2441no—
2094C4—2441no—
2095C4—2441no—
2096C4—2441no—
2097C2—42no—
2098C2—42no—
2099C2—81no—
2100C2—81no—
2101C2—81no—
2102C2—81no—
2103C2—1224no—
2104C2—4881no—
2105C2—4881no—
2106C2—2442no—
2107C2—2442no—
2108C2#535×D6111yescharacteristic
2109C2#2145944711yescharacteristic
2110C2#2145944711yescharacteristic
2111C2#2146005011yescharacteristic
2112C2#2146005211yescharacteristic
2113C2#2146005311yescharacteristic
2114C2#2146005611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2669C2
hypercenter#2669D61
hypocenterC61#36717
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#16840322C2semidirect
2. C2×#121×D61C2semidirect
3. #21454100C2semidirect
4. #21454098C2semidirect
5. #21452469C2semidirect
6. #21452468C2semidirect
7. #21452467C2semidirect
8. #21452466C2semidirect
9. #21452460C2semidirect
10. #21452458C2semidirect
11. #21452457C2semidirect
12. #21452455C2semidirect
13. #21452038C2semidirect
14. #21452036C2semidirect
15. #21452035C2semidirect
16. #21452033C2semidirect
17. #21452033C2semidirect
18. #21452032C2semidirect
19. #21452031C2semidirect
20. #21451558C2semidirect
21. #21451552C2semidirect
22. #21451297C2semidirect
23. #21451293C2semidirect
24. #21449453C2semidirect
25. #21449451C2semidirect
26. #21449130C2semidirect
27. #21449130C2semidirect
28. #21449128C2semidirect
29. #21449128C2semidirect
30. #21448413C2semidirect
31. C61×#2669C2semidirect
36. C22×D4×D61C22semidirect
37. C23×C4×D61C22semidirect
39. C2×#14519773C22semidirect
40. C2×#14519773C22semidirect
41. C2×#14519773C22semidirect
42. C2×#14519761C22semidirect
43. C2×#14519759C22semidirect
44. C2×#14519759C22semidirect
45. C2×#14519758C22semidirect
46. C2×#14519752C22semidirect
47. C2×#14519751C22semidirect
50. C2×#14519750C22semidirect
51. C2×#14519750C22semidirect
52. C2×#14519750C22semidirect
53. C2×#14519749C22semidirect
54. C2×#14519749C22semidirect
55. C2×#14519749C22semidirect
58. C2×#14519748C22semidirect
59. C2×#14519748C22semidirect
61. C2×#14519747C22semidirect
62. C2×#14519747C22semidirect
63. C2×#14519747C22semidirect
64. C2×#14519747C22semidirect
65. C2×#14519746C22semidirect
66. C2×#14519746C22semidirect
67. C2×#14519746C22semidirect
68. C2×#14519745C22semidirect
69. C2×#14519745C22semidirect
70. C2×#14519745C22semidirect
71. C2×#14519745C22semidirect
72. C2×#14519745C22semidirect
73. C2×#14519745C22semidirect
74. C2×#14519745C22semidirect
75. C2×#14519745C22semidirect
76. C2×#14519745C22semidirect
77. C2×#14519745C22semidirect
78. C2×C4⋊C4×D61C22semidirect
80. C2×C22⋊C4×D61C22semidirect
81. #16839704C22semidirect
82. #16839703C22semidirect
83. #16839702C22semidirect
84. #16839701C22semidirect
85. #16839691C22semidirect
86. #16839690C22semidirect
87. #16839689C22semidirect
88. #16839687C22semidirect
89. #16839679C22semidirect
90. #16839678C22semidirect
91. #16839678C22semidirect
92. #16839678C22semidirect
93. #16839677C22semidirect
94. #16839677C22semidirect
95. #16839677C22semidirect
96. #16839676C22semidirect
97. #16839676C22semidirect
98. #16839676C22semidirect
99. #16839672C22semidirect
100. #16839671C22semidirect
101. #16839671C22semidirect
102. #16839671C22semidirect
103. #16839671C22semidirect
104. #16839671C22semidirect
105. #16839671C22semidirect
106. #16839671C22semidirect
107. #16839671C22semidirect
108. #16839670C22semidirect
109. #16839670C22semidirect
110. #16839670C22semidirect
111. #16839670C22semidirect
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. #16839664C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839656C22semidirect
128. #16839656C22semidirect
129. #16839655C22semidirect
130. #16839655C22semidirect
131. #16839655C22semidirect
132. #16839654C22semidirect
133. #16839653C22semidirect
134. #16839653C22semidirect
135. #16839652C22semidirect
136. #16839652C22semidirect
137. #16839651C22semidirect
138. #16839650C22semidirect
139. #16839650C22semidirect
140. #16839650C22semidirect
141. #16839642C22semidirect
142. #16839642C22semidirect
143. #16839642C22semidirect
144. #16839642C22semidirect
145. #16839641C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
148. #16839640C22semidirect
149. #16839640C22semidirect
150. #16839640C22semidirect
151. #16839639C22semidirect
152. #16839639C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839638C22semidirect
156. #16839638C22semidirect
157. #16839638C22semidirect
158. #16839638C22semidirect
159. #16839638C22semidirect
160. #16839638C22semidirect
161. #16839638C22semidirect
162. #16839638C22semidirect
163. #16839638C22semidirect
164. #16839622C22semidirect
165. #16839621C22semidirect
166. #16839621C22semidirect
167. #16839620C22semidirect
168. #16839619C22semidirect
169. #16839619C22semidirect
172. C4×#11758198C22semidirect
173. #16839609C22semidirect
174. C2×#127×C61C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×#120×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
344. C22⋊C4×D61D4semidirect
1059. #2669D61semidirect
1099. C2×#127C2×D61semidirect
1119. C2×#121C2×D61semidirect
1120. C2×#121C2×D61semidirect
1138. C2×#120C2×D61semidirect
1139. C2×#120C2×D61semidirect
1140. C2×#120C2×D61semidirect
1162. #394C2×D61semidirect
1163. #394C2×D61semidirect
1188. #392C2×D61semidirect
1189. #392C2×D61semidirect
1190. #392C2×D61semidirect
1191. #392C2×D61semidirect
1210. #388C2×D61semidirect
1211. #388C2×D61semidirect
1235. #386C2×D61semidirect
1246. C61#36717semidirect

Maximal subgroups

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

subgroupindex
C2×#168403222
C2×#121×D612
#214541002
#214540982
#214524692
#214524682
#214524672
#214524662
#214524602
#214524582
#214524572
#214524552
#214520382
#214520362
#214520352
#214520332
#214520322
#214520312
#214515582
#214515522
#214512972
#214512932
#214494532
#214494512
#214491302
#214491282
#214484132
C61×#26692
#3671761