Finite Group Databasebeta

← C22×#37300 #72299811

Subgroups — C22×#37300 #72299811

Order 1024.

102701 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#537C211yesmaximal, characteristic, complemented
2C23×#535C211yesmaximal, characteristic, complemented
3C2×#37300C2196yesmaximal, direct product factor
4C22×#2730C214yesmaximal, complemented
5C22×#2673C214yesmaximal, complemented
6C22×#2678C214yesmaximal, complemented
7C22×#2668C214yesmaximal, complemented
8C22×#2856C211yesmaximal, characteristic, complemented
9C22×#2850C211yesmaximal, characteristic, complemented
10C22×#2500C211yesmaximal, characteristic, complemented
11C22×#2499C211yesmaximal, characteristic, complemented
12C22×#2504C211yesmaximal, characteristic, complemented
13C22×#2501C211yesmaximal, characteristic, complemented
14C22×#2431C211yesmaximal, characteristic, complemented
15C22×#2431C211yesmaximal, characteristic, complemented
16C22×#2435C211yesmaximal, characteristic, complemented
17C22×#2433C211yesmaximal, characteristic, complemented
18C22×#2620C211yesmaximal, characteristic, complemented
19C22×#2619C211yesmaximal, characteristic, complemented
20C22×#2297C211yesmaximal, characteristic, complemented
21C24×#41C2211yescharacteristic
22C24×#41C2211yescharacteristic, complemented
23C25×D4C2211yescharacteristic
24C22×#537—232no—
25C22×#537C22148yescomplemented
26C22×#535—232no—
27C22×#535C22148yescomplemented
28C23×#127C2212yes—
29C23×#127C2211yescharacteristic
30C23×#127C2211yescharacteristic
31C23×#124C2212yes—
32C23×#124C2211yescharacteristic
33C23×#124C2211yescharacteristic
34C23×#123C2214yescomplemented
35C23×C22⋊Q8C2211yescharacteristic
36C23×C22⋊Q8C2212yescomplemented
37C23×C22⋊Q8C2211yescharacteristic, complemented
38C23×#121C2212yes—
39C23×#121C2212yes—
40C23×#121C2211yescharacteristic
41C23×#121C2211yescharacteristic
42C23×#121C2211yescharacteristic
43C23×#121C2211yescharacteristic
44C23×#121C2211yescharacteristic
45C23×#121C2212yescomplemented
46C23×#121C2211yescharacteristic, complemented
47C23×#121C2214yescomplemented
48C23×#120C2212yes—
49C23×#120C2212yes—
50C23×#120C2214yes—
51C23×#117C2211yescharacteristic
52C23×#117C2211yescharacteristic, complemented
53C24×C4⋊C4C2211yescharacteristic, complemented
54C24×C42C2211yescharacteristic, complemented
55C2×#2730C221192yescomplemented
56C2×#2678C221192yescomplemented
57C2×#2673C221192yescomplemented
58C2×#2668C221192yescomplemented
59#37300C2211024yesdirect product factor
60C2×#2856C22148yescomplemented
61C2×#2850C22148yescomplemented
62C2×#2500C22148yescomplemented
63C2×#2499C22148yescomplemented
64C2×#2504C22148yescomplemented
65C2×#2501C22148yescomplemented
66C2×#2431C22148yescomplemented
67C2×#2431C22148yescomplemented
68C2×#2435C22148yescomplemented
69C2×#2433C22148yescomplemented
70C2×#2620C22148yescomplemented
71C2×#2619C22148yescomplemented
72C22×#399C2214yescomplemented
73C22×#397C2214yes—
74C22×#397C2214yescomplemented
75C22×#396C2214yescomplemented
76C22×#394C2214yes—
77C22×#394C2214yes—
78C22×#394C2214yescomplemented
79C22×#394C2214yescomplemented
80C22×#392C2214yes—
81C22×#392C2214yescomplemented
82C22×#392C2214yescomplemented
83C22×#392C2214yescomplemented
84C2×#2297C22148yescomplemented
85C22×#391C2212yescomplemented
86C22×#391C2211yescharacteristic, complemented
87C22×#391C2211yescharacteristic, complemented
88C22×#390C2212yes—
89C22×#390C2211yescharacteristic
90C22×#390C2211yescharacteristic
91C22×#390C2211yescharacteristic
92C22×#390C2211yescharacteristic
93C22×#390C2214yescomplemented
94C22×#390C2211yescharacteristic, complemented
95C22×#390C2211yescharacteristic, complemented
96C22×#388C2214yescomplemented
97C22×#388C2214yescomplemented
98C22×#387C2214yescomplemented
99C22×#386C2212yes—
100C22×#386C2214yescomplemented
101C22×#386C2214yescomplemented
102C22×#386C2214yescomplemented
103C22×#386C2214yescomplemented
104C22×#386C2212yescomplemented
105C22×#384C2211yescharacteristic, complemented
106C22×#384C2211yescharacteristic, complemented
107C22×#382C2211yescharacteristic, complemented
108C22×#382C2211yescharacteristic, complemented
109C22×#379C2214yes—
110C22×C4×C22⋊C4C2211yescharacteristic
111C22×C4×C22⋊C4C2211yescharacteristic
112C22×C4×C22⋊C4C2211yescharacteristic, complemented
113C22×C4×C22⋊C4C2211yescharacteristic, complemented
114C27C2312yes—
115C23×#41—216no—
116C23×#41—48no—
117C23×#41—48no—
118C23×#41—48no—
119C23×#41—48no—
120C23×#41D4132yescomplemented
121C23×#41C23124yes—
122C23×#41C23124yescomplemented
123C24×Q8C2311yescharacteristic
124C24×Q8C2311yescharacteristic
125C24×D4—216no—
126C24×D4—48no—
127C24×D4—48no—
128C24×D4C2311yescharacteristic
129C24×D4C2311yescharacteristic
130C24×D4C2311yescharacteristic
131C24×D4C23124yes—
132C24×D4C2312yes—
133C24×D4C2312yes—
134C24×D4C2312yes—
135C24×D4C2312yes—
136C24×D4C2312yes—
137C24×D4C2312yes—
138C24×D4C2312yes—
139C24×D4C2314yes—
140C24×D4C2312yes—
141C24×D4C2314yes—
142C24×D4C2311yescharacteristic
143C24×D4C2311yescharacteristic
144C24×D4C2311yescharacteristic
145C25×C4C2311yescharacteristic
146C25×C4C2311yescharacteristic
147C25×C4C2311yescharacteristic
148C25×C4C2312yes—
149C25×C4C2312yes—
150C25×C4C2312yes—
151C2×#537—2768no—
152C2×#537C231256yescomplemented
153C2×#535—2768no—
154C2×#535C231256yescomplemented
155C22×#127—232no—
156C22×#127—48no—
157C22×#127—48no—
158C22×#127C23148yes—
159C22×#127C23124yes—
160C22×#127C23124yes—
161C22×#124—232no—
162C22×#124—48no—
163C22×#124—48no—
164C22×#124C23148yes—
165C22×#124C23124yes—
166C22×#124C23124yes—
167C22×#123—432no—
168C22×#123C23196yescomplemented
169C22×C22⋊Q8—232no—
170C22×C22⋊Q8—216no—
171C22×C22⋊Q8—216no—
172C22×C22⋊Q8C23124yes—
173C22×C22⋊Q8C23124yescomplemented
174C22×C22⋊Q8C23148yescomplemented
175C22×#121—232no—
176C22×#121—232no—
177C22×#121—232no—
178C22×#121—216no—
179C22×#121—216no—
180C22×#121—216no—
181C22×#121—216no—
182C22×#121—216no—
183C22×#121—216no—
184C22×#121—432no—
185C22×#121C23124yes—
186C22×#121C23124yes—
187C22×#121C23124yes—
188C22×#121C23148yes—
189C22×#121C23148yes—
190C22×#121C23124yes—
191C22×#121C23124yes—
192C22×#121C23124yescomplemented
193C22×#121C23148yescomplemented
194C22×#121C23196yescomplemented
195C22×#120—232no—
196C22×#120—232no—
197C22×#120—432no—
198C22×#120C23148yes—
199C22×#120C23148yes—
200C22×#120C23196yes—
201C22×#117—216no—
202C22×#117—48no—
203C22×#117C23124yes—
204C22×#117C23124yescomplemented
205C23×C4⋊C4—216no—
206C23×C4⋊C4C2311yescharacteristic
207C23×C4⋊C4C2312yes—
208C23×C4⋊C4C2311yescharacteristic
209C23×C4⋊C4C2311yescharacteristic
210C23×C4⋊C4C2311yescharacteristic
211C23×C4⋊C4C2312yes—
212C23×C4⋊C4C2312yes—
213C23×C4⋊C4C2314yes—
214C23×C4⋊C4C2312yes—
215C23×C4⋊C4C2314yes—
216C23×C4⋊C4C23124yescomplemented
217C23×C22⋊C4C2312yes—
218C23×C22⋊C4C2312yes—
219C23×C22⋊C4C2312yes—
220C23×C22⋊C4C2312yes—
221C23×C22⋊C4C2312yes—
222C23×C22⋊C4C2312yes—
223C23×C22⋊C4C2314yes—
224C23×C22⋊C4C2312yes—
225C23×C22⋊C4C2312yes—
226C23×C22⋊C4C2312yes—
227C23×C22⋊C4C2312yes—
228C23×C22⋊C4C2312yes—
229C23×C22⋊C4C2312yes—
230C23×C22⋊C4C2314yes—
231C23×C22⋊C4C2314yes—
232C23×C22⋊C4C2314yes—
233C23×C22⋊C4C2314yes—
234C23×C22⋊C4C2312yes—
235C23×C22⋊C4C2312yes—
236C23×C22⋊C4C2314yes—
237C23×C22⋊C4C2314yes—
238C23×C22⋊C4C2314yes—
239C23×C42—48no—
240C23×C42C2311yescharacteristic
241C23×C42C2311yescharacteristic
242C23×C42C2312yes—
243C23×C42C2311yescharacteristic
244C23×C42C2311yescharacteristic
245C23×C42C2312yes—
246C23×C42C23124yescomplemented
247#2856C231256yescomplemented
248#2850C231256yescomplemented
249#2730C2311024yescomplemented
250#2678C2311024yescomplemented
251#2673C2311024yescomplemented
252#2668C2311024yescomplemented
253#2620C231256yescomplemented
254#2619C231256yescomplemented
255#2504C231256yescomplemented
256#2501C231256yescomplemented
257#2500C231256yescomplemented
258#2499C231256yescomplemented
259#2435C231256yescomplemented
260#2433C231256yescomplemented
261#2431C231256yescomplemented
262#2431C231256yescomplemented
263C2×#399C23196yescomplemented
264C2×#397C23196yes—
265C2×#397C23196yescomplemented
266C2×#396C23196yescomplemented
267C2×#394C23196yes—
268C2×#394C23196yes—
269C2×#394C23196yescomplemented
270C2×#394C23196yescomplemented
271C2×#392C23196yes—
272C2×#392C23196yescomplemented
273C2×#392C23196yescomplemented
274C2×#392C23196yescomplemented
275#2297C231256yescomplemented
276C2×#391C23124yescomplemented
277C2×#391C23124yescomplemented
278C2×#391C23148yescomplemented
279C2×#390C23124yes—
280C2×#390C23124yes—
281C2×#390C23124yes—
282C2×#390C23124yes—
283C2×#390C23148yes—
284C2×#390C23196yescomplemented
285C2×#390C23124yescomplemented
286C2×#390C23124yescomplemented
287C2×#388C23196yescomplemented
288C2×#388C23196yescomplemented
289C2×#387C23196yescomplemented
290C2×#386C23148yes—
291C2×#386C23196yescomplemented
292C2×#386C23196yescomplemented
293C2×#386C23196yescomplemented
294C2×#386C23148yescomplemented
295C2×#386C23196yescomplemented
296C2×#384C23124yescomplemented
297C2×#384C23124yescomplemented
298C2×#382C23124yescomplemented
299C2×#382C23124yescomplemented
300C2×#379C23196yes—
301C2×C4×C22⋊C4C23124yes—
302C2×C4×C22⋊C4C23124yes—
303C2×C4×C22⋊C4C23124yescomplemented
304C2×C4×C22⋊C4C23124yescomplemented
305C22×#95C2312yes—
306C22×#95C2312yes—
307C22×#95C2312yes—
308C22×#95C2312yes—
309C22×#95C2314yes—
310C22×#95C2314yes—
311C22×#95C2314yes—
312C22×#95C2314yes—
313C26—216no—
314C26—48no—
315C26—48no—
316C26—416no—
317C26—416no—
318C26C2412yes—
319C26C2412yes—
320C26C2412yes—
321C26C2411yescharacteristic
322C26C2411yescharacteristic
323C26C2411yescharacteristic
324C26C24124yes—
325C22×#41—2192no—
326C22×#41—4256no—
327C22×#41—496no—
328C22×#41—496no—
329C22×#41—496no—
330C22×#41—496no—
331C22×#41—4256no—
332C22×#41C2×D41384yescomplemented
333C22×#41C24164yes—
334C22×#41C24164yescomplemented
335C23×Q8—28no—
336C23×Q8—28no—
337C23×Q8—28no—
338C23×Q8—44no—
339C23×Q8—44no—
340C23×Q8C2×D4116yes—
341C23×Q8C24112yes—
342C23×Q8C24112yes—
343C23×D4—216no—
344C23×D4—216no—
345C23×D4—216no—
346C23×D4—216no—
347C23×D4—216no—
348C23×D4—216no—
349C23×D4—216no—
350C23×D4—28no—
351C23×D4—28no—
352C23×D4—216no—
353C23×D4—2192no—
354C23×D4—28no—
355C23×D4—28no—
356C23×D4—28no—
357C23×D4—28no—
358C23×D4—28no—
359C23×D4—28no—
360C23×D4—28no—
361C23×D4—232no—
362C23×D4—496no—
363C23×D4—496no—
364C23×D4—48no—
365C23×D4—48no—
366C23×D4—44no—
367C23×D4—44no—
368C23×D4—44no—
369C23×D4—44no—
370C23×D4—44no—
371C23×D4—44no—
372C23×D4—48no—
373C23×D4—48no—
374C23×D4—4256no—
375C23×D4—416no—
376C23×D4—416no—
377C23×D4—416no—
378C23×D4—416no—
379C23×D4—416no—
380C23×D4—416no—
381C23×D4—416no—
382C23×D4—416no—
383C23×D4—416no—
384C23×D4—416no—
385C23×D4—416no—
386C23×D4C2×D4116yes—
387C23×D4C2×D4116yes—
388C23×D4C2×D4116yes—
389C23×D4C24112yes—
390C23×D4C24112yes—
391C23×D4C24112yes—
392C23×D4C24124yes—
393C23×D4C24164yes—
394C23×D4C24124yes—
395C23×D4C24148yes—
396C23×D4C24124yes—
397C23×D4C24124yes—
398C23×D4C24124yes—
399C23×D4C24124yes—
400C23×D4C24124yes—
401C23×D4C24124yes—
402C23×D4C24148yes—
403C23×D4C24112yes—
404C23×D4C24112yes—
405C23×D4C24112yes—
406C24×C4—28no—
407C24×C4—28no—
408C24×C4—28no—
409C24×C4—28no—
410C24×C4—28no—
411C24×C4—28no—
412C24×C4—216no—
413C24×C4—216no—
414C24×C4—216no—
415C24×C4—48no—
416C24×C4—48no—
417C24×C4—48no—
418C24×C4—48no—
419C24×C4—416no—
420C24×C4C2×D4116yes—
421C24×C4C2×D4116yes—
422C24×C4C2×D4116yes—
423C24×C4C2412yes—
424C24×C4C2412yes—
425C24×C4C2412yes—
426C24×C4C2412yes—
427C24×C4C2412yes—
428C24×C4C2412yes—
429C24×C4C2412yes—
430C24×C4C2412yes—
431C24×C4C24112yes—
432C24×C4C24112yes—
433C24×C4C24112yes—
434C24×C4C2411yescharacteristic
435C24×C4C2411yescharacteristic
436C24×C4C2411yescharacteristic
437C24×C4C2412yes—
438C24×C4C24124yes—
439C24×C4C24124yes—
440C24×C4C24124yes—
441C24×C4C2411yescharacteristic
442#537—22048no—
443#535—22048no—
444C2×#127—2384no—
445C2×#127—496no—
446C2×#127—496no—
447C2×#127C241128yes—
448C2×#127C24164yes—
449C2×#127C24164yes—
450C2×#124—2384no—
451C2×#124—496no—
452C2×#124—496no—
453C2×#124C241128yes—
454C2×#124C24164yes—
455C2×#124C24164yes—
456C2×#123—4384no—
457C2×#123C241256yescomplemented
458C2×C22⋊Q8—2384no—
459C2×C22⋊Q8—2192no—
460C2×C22⋊Q8—2192no—
461C2×C22⋊Q8C24164yes—
462C2×C22⋊Q8C24164yescomplemented
463C2×C22⋊Q8C241128yescomplemented
464C2×#121—2384no—
465C2×#121—2384no—
466C2×#121—2384no—
467C2×#121—2192no—
468C2×#121—2192no—
469C2×#121—2192no—
470C2×#121—2192no—
471C2×#121—2192no—
472C2×#121—2192no—
473C2×#121—4384no—
474C2×#121C24164yes—
475C2×#121C24164yes—
476C2×#121C241128yes—
477C2×#121C241128yes—
478C2×#121C24164yes—
479C2×#121C24164yes—
480C2×#121C24164yes—
481C2×#121C24164yescomplemented
482C2×#121C241128yescomplemented
483C2×#121C241256yescomplemented
484C2×#120—2384no—
485C2×#120—2384no—
486C2×#120—4384no—
487C2×#120C241128yes—
488C2×#120C241128yes—
489C2×#120C241256yes—
490C2×#117—2192no—
491C2×#117—496no—
492C2×#117C24164yes—
493C2×#117C24164yescomplemented
494C22×C4⋊C4—216no—
495C22×C4⋊C4—28no—
496C22×C4⋊C4—28no—
497C22×C4⋊C4—2192no—
498C22×C4⋊C4—28no—
499C22×C4⋊C4—28no—
500C22×C4⋊C4—216no—
501C22×C4⋊C4—216no—
502C22×C4⋊C4—232no—
503C22×C4⋊C4—48no—
504C22×C4⋊C4—416no—
505C22×C4⋊C4C24124yes—
506C22×C4⋊C4C24124yes—
507C22×C4⋊C4C24148yes—
508C22×C4⋊C4C24124yes—
509C22×C4⋊C4C24112yes—
510C22×C4⋊C4C24112yes—
511C22×C4⋊C4C24112yes—
512C22×C4⋊C4C24112yes—
513C22×C4⋊C4C24148yes—
514C22×C4⋊C4C24124yes—
515C22×C4⋊C4C24164yescomplemented
516C22×C22⋊C4—216no—
517C22×C22⋊C4—216no—
518C22×C22⋊C4—216no—
519C22×C22⋊C4—216no—
520C22×C22⋊C4—216no—
521C22×C22⋊C4—216no—
522C22×C22⋊C4—216no—
523C22×C22⋊C4—216no—
524C22×C22⋊C4—216no—
525C22×C22⋊C4—216no—
526C22×C22⋊C4—232no—
527C22×C22⋊C4—216no—
528C22×C22⋊C4—48no—
529C22×C22⋊C4—416no—
530C22×C22⋊C4—48no—
531C22×C22⋊C4—48no—
532C22×C22⋊C4—416no—
533C22×C22⋊C4—416no—
534C22×C22⋊C4—416no—
535C22×C22⋊C4—416no—
536C22×C22⋊C4—416no—
537C22×C22⋊C4—416no—
538C22×C22⋊C4C24124yes—
539C22×C22⋊C4C24148yes—
540C22×C22⋊C4C24124yes—
541C22×C22⋊C4C24124yes—
542C22×C22⋊C4C24124yes—
543C22×C22⋊C4C24124yes—
544C22×C22⋊C4C24124yes—
545C22×C22⋊C4C24124yes—
546C22×C22⋊C4C24124yes—
547C22×C22⋊C4C24124yes—
548C22×C22⋊C4C24124yes—
549C22×C22⋊C4C24124yes—
550C22×C22⋊C4C24148yes—
551C22×C22⋊C4C24148yes—
552C22×C22⋊C4C24124yes—
553C22×C22⋊C4C24124yes—
554C22×C22⋊C4C24148yes—
555C22×C22⋊C4C24148yes—
556C22×C22⋊C4C24148yes—
557C22×C22⋊C4C24148yes—
558C22×C22⋊C4C24124yes—
559C22×C22⋊C4C24148yes—
560C22×C42—216no—
561C22×C42—28no—
562C22×C42—28no—
563C22×C42—28no—
564C22×C42—28no—
565C22×C42—496no—
566C22×C42—48no—
567C22×C42C24112yes—
568C22×C42C24112yes—
569C22×C42C24124yes—
570C22×C42C24112yes—
571C22×C42C24112yes—
572C22×C42C24124yes—
573C22×C42C24164yescomplemented
574#399C241256yescomplemented
575#397C241256yes—
576#397C241256yescomplemented
577#396C241256yescomplemented
578#394C241256yes—
579#394C241256yes—
580#394C241256yescomplemented
581#394C241256yescomplemented
582#392C241256yes—
583#392C241256yescomplemented
584#392C241256yescomplemented
585#392C241256yescomplemented
586#391C24164yescomplemented
587#391C24164yescomplemented
588#391C241128yescomplemented
589#390C24164yes—
590#390C24164yes—
591#390C24164yes—
592#390C24164yes—
593#390C241128yes—
594#390C241256yescomplemented
595#390C24164yescomplemented
596#390C24164yescomplemented
597#388C241256yescomplemented
598#388C241256yescomplemented
599#387C241256yescomplemented
600#386C241128yes—
601#386C241256yescomplemented
602#386C241256yescomplemented
603#386C241256yescomplemented
604#386C241128yescomplemented
605#386C241256yescomplemented
606#384C24164yescomplemented
607#384C24164yescomplemented
608#382C24164yescomplemented
609#382C24164yescomplemented
610#379C241256yes—
611C4×C22⋊C4C24164yes—
612C4×C22⋊C4C24164yes—
613C4×C22⋊C4C24164yescomplemented
614C4×C22⋊C4C24164yescomplemented
615C2×#95C24124yes—
616C2×#95C24148yes—
617C2×#95C24148yes—
618C2×#95C24148yes—
619C2×#95C24124yes—
620C2×#95C24148yes—
621C2×#95C24124yes—
622C2×#95C24124yes—
623C25—28no—
624C25—28no—
625C25—24no—
626C25—24no—
627C25—24no—
628C25—24no—
629C25—28no—
630C25—24no—
631C25—24no—
632C25—28no—
633C25—28no—
634C25—28no—
635C25—28no—
636C25—28no—
637C25—28no—
638C25—216no—
639C25—28no—
640C25—28no—
641C25—216no—
642C25—216no—
643C25—28no—
644C25—28no—
645C25—28no—
646C25—28no—
647C25—216no—
648C25—216no—
649C25—216no—
650C25—296no—
651C25—448no—
652C25—448no—
653C25—496no—
654C25—496no—
655C25—4128no—
656C25—864no—
657C25—864no—
658C25—8128no—
659C25—8128no—
660C25C22×D418yes—
661C25C22×D418yes—
662C25C22×D418yes—
663C25C25112yes—
664C25C25112yes—
665C25C25112yes—
666C25C2516yes—
667C25C2516yes—
668C25C2516yes—
669C25C25132yes—
670C25C2511yescharacteristic
671C2×#41—2256no—
672C2×#41—41536no—
673C2×#41—4128no—
674C2×#41—4128no—
675C2×#41—4128no—
676C2×#41—4128no—
677C2×#41—41536no—
678C2×#41C22×D41512yescomplemented
679C22×Q8—248no—
680C22×Q8—248no—
681C22×Q8—248no—
682C22×Q8—464no—
683C22×Q8—424no—
684C22×Q8—424no—
685C22×Q8—464no—
686C22×Q8C22×D4196yes—
687C22×Q8C25116yes—
688C22×Q8C25116yes—
689C22×D4—296no—
690C22×D4—296no—
691C22×D4—296no—
692C22×D4—296no—
693C22×D4—296no—
694C22×D4—296no—
695C22×D4—296no—
696C22×D4—248no—
697C22×D4—248no—
698C22×D4—248no—
699C22×D4—296no—
700C22×D4—2256no—
701C22×D4—248no—
702C22×D4—248no—
703C22×D4—248no—
704C22×D4—248no—
705C22×D4—248no—
706C22×D4—248no—
707C22×D4—2192no—
708C22×D4—4128no—
709C22×D4—4128no—
710C22×D4—448no—
711C22×D4—448no—
712C22×D4—464no—
713C22×D4—464no—
714C22×D4—464no—
715C22×D4—424no—
716C22×D4—424no—
717C22×D4—424no—
718C22×D4—424no—
719C22×D4—424no—
720C22×D4—424no—
721C22×D4—448no—
722C22×D4—448no—
723C22×D4—4128no—
724C22×D4—41536no—
725C22×D4—496no—
726C22×D4—496no—
727C22×D4—496no—
728C22×D4—496no—
729C22×D4—496no—
730C22×D4—496no—
731C22×D4—496no—
732C22×D4—496no—
733C22×D4—496no—
734C22×D4—496no—
735C22×D4—496no—
736C22×D4—4128no—
737C22×D4—464no—
738C22×D4—464no—
739C22×D4—464no—
740C22×D4—8128no—
741C22×D4—864no—
742C22×D4—864no—
743C22×D4—864no—
744C22×D4—864no—
745C22×D4—864no—
746C22×D4—864no—
747C22×D4—8128no—
748C22×D4C22×D4196yes—
749C22×D4C22×D4196yes—
750C22×D4C22×D4196yes—
751C22×D4C25116yes—
752C22×D4C25116yes—
753C22×D4C25116yes—
754C22×D4C25132yes—
755C22×D4C25132yes—
756C22×D4C25132yes—
757C22×D4C25132yes—
758C22×D4C25132yes—
759C22×D4C25164yes—
760C22×D4C25132yes—
761C22×D4C25132yes—
762C22×D4C25132yes—
763C22×D4C25164yes—
764C22×D4C25116yes—
765C22×D4C25116yes—
766C22×D4C25116yes—
767C23×C4—24no—
768C23×C4—24no—
769C23×C4—24no—
770C23×C4—24no—
771C23×C4—24no—
772C23×C4—24no—
773C23×C4—28no—
774C23×C4—28no—
775C23×C4—2128no—
776C23×C4—2128no—
777C23×C4—2128no—
778C23×C4—248no—
779C23×C4—248no—
780C23×C4—248no—
781C23×C4—248no—
782C23×C4—248no—
783C23×C4—248no—
784C23×C4—28no—
785C23×C4—28no—
786C23×C4—28no—
787C23×C4—28no—
788C23×C4—28no—
789C23×C4—28no—
790C23×C4—28no—
791C23×C4—216no—
792C23×C4—28no—
793C23×C4—28no—
794C23×C4—216no—
795C23×C4—28no—
796C23×C4—28no—
797C23×C4—28no—
798C23×C4—216no—
799C23×C4—28no—
800C23×C4—28no—
801C23×C4—28no—
802C23×C4—216no—
803C23×C4—28no—
804C23×C4—296no—
805C23×C4—296no—
806C23×C4—296no—
807C23×C4—448no—
808C23×C4—448no—
809C23×C4—448no—
810C23×C4—448no—
811C23×C4—496no—
812C23×C4—4128no—
813C23×C4—4128no—
814C23×C4—864no—
815C23×C4C22×D418yes—
816C23×C4C22×D418yes—
817C23×C4C22×D418yes—
818C23×C4C22×D4196yes—
819C23×C4C22×D4196yes—
820C23×C4C22×D4196yes—
821C23×C4C22×D418yes—
822C23×C4H(5,𝔽2)116yes—
823C23×C4H(5,𝔽2)18yes—
824C23×C4H(5,𝔽2)18yes—
825C23×C4C25112yes—
826C23×C4C25112yes—
827C23×C4C25112yes—
828C23×C4C25112yes—
829C23×C4C25112yes—
830C23×C4C25112yes—
831C23×C4C25112yes—
832C23×C4C25112yes—
833C23×C4C2516yes—
834C23×C4C2516yes—
835C23×C4C2516yes—
836C23×C4C25116yes—
837C23×C4C25116yes—
838C23×C4C25116yes—
839C23×C4C25112yes—
840C23×C4C25132yes—
841C23×C4C25132yes—
842C23×C4C25132yes—
843C23×C4C2516yes—
844#127—2512no—
845#127—4128no—
846#127—4128no—
847#124—2512no—
848#124—4128no—
849#124—4128no—
850#123—4512no—
851C22⋊Q8—2512no—
852C22⋊Q8—2256no—
853C22⋊Q8—2256no—
854#121—2512no—
855#121—2512no—
856#121—2512no—
857#121—2256no—
858#121—2256no—
859#121—2256no—
860#121—2256no—
861#121—2256no—
862#121—2256no—
863#121—4512no—
864#120—2512no—
865#120—2512no—
866#120—4512no—
867#117—2256no—
868#117—4128no—
869C2×C4⋊C4—296no—
870C2×C4⋊C4—248no—
871C2×C4⋊C4—248no—
872C2×C4⋊C4—2256no—
873C2×C4⋊C4—248no—
874C2×C4⋊C4—248no—
875C2×C4⋊C4—296no—
876C2×C4⋊C4—296no—
877C2×C4⋊C4—2192no—
878C2×C4⋊C4—448no—
879C2×C4⋊C4—496no—
880C2×C4⋊C4C25116yes—
881C2×C4⋊C4C25132yes—
882C2×C4⋊C4C25116yes—
883C2×C4⋊C4C25116yes—
884C2×C4⋊C4C25116yes—
885C2×C4⋊C4C25132yes—
886C2×C4⋊C4C25132yes—
887C2×C4⋊C4C25164yes—
888C2×C4⋊C4C25132yes—
889C2×C4⋊C4C25164yes—
890C2×C22⋊C4—296no—
891C2×C22⋊C4—296no—
892C2×C22⋊C4—296no—
893C2×C22⋊C4—296no—
894C2×C22⋊C4—296no—
895C2×C22⋊C4—296no—
896C2×C22⋊C4—296no—
897C2×C22⋊C4—296no—
898C2×C22⋊C4—296no—
899C2×C22⋊C4—296no—
900C2×C22⋊C4—2192no—
901C2×C22⋊C4—296no—
902C2×C22⋊C4—448no—
903C2×C22⋊C4—496no—
904C2×C22⋊C4—448no—
905C2×C22⋊C4—448no—
906C2×C22⋊C4—496no—
907C2×C22⋊C4—496no—
908C2×C22⋊C4—496no—
909C2×C22⋊C4—496no—
910C2×C22⋊C4—496no—
911C2×C22⋊C4—496no—
912C2×C22⋊C4C25132yes—
913C2×C22⋊C4C25132yes—
914C2×C22⋊C4C25132yes—
915C2×C22⋊C4C25132yes—
916C2×C22⋊C4C25132yes—
917C2×C22⋊C4C25132yes—
918C2×C22⋊C4C25164yes—
919C2×C22⋊C4C25132yes—
920C2×C22⋊C4C25132yes—
921C2×C22⋊C4C25132yes—
922C2×C22⋊C4C25132yes—
923C2×C22⋊C4C25132yes—
924C2×C22⋊C4C25132yes—
925C2×C22⋊C4C25164yes—
926C2×C22⋊C4C25164yes—
927C2×C22⋊C4C25164yes—
928C2×C22⋊C4C25164yes—
929C2×C22⋊C4C25164yes—
930C2×C22⋊C4C25164yes—
931C2×C22⋊C4C25132yes—
932C2×C22⋊C4C25132yes—
933C2×C22⋊C4C25164yes—
934C2×C42—296no—
935C2×C42—248no—
936C2×C42—248no—
937C2×C42—248no—
938C2×C42—248no—
939C2×C42—4128no—
940C2×C42—448no—
941C2×C42C25132yes—
942C2×C42C25116yes—
943C2×C42C25116yes—
944C2×C42C25116yes—
945C2×C42C25116yes—
946C2×C42C25132yes—
947#95C25132yes—
948#95C25132yes—
949#95C25132yes—
950#95C25132yes—
951#95C25164yes—
952#95C25164yes—
953#95C25164yes—
954#95C25164yes—
955C24—224no—
956C24—224no—
957C24—212no—
958C24—212no—
959C24—224no—
960C24—212no—
961C24—212no—
962C24—212no—
963C24—212no—
964C24—224no—
965C24—224no—
966C24—224no—
967C24—232no—
968C24—232no—
969C24—232no—
970C24—232no—
971C24—232no—
972C24—232no—
973C24—232no—
974C24—232no—
975C24—232no—
976C24—224no—
977C24—224no—
978C24—224no—
979C24—248no—
980C24—224no—
981C24—248no—
982C24—224no—
983C24—248no—
984C24—224no—
985C24—224no—
986C24—224no—
987C24—224no—
988C24—248no—
989C24—248no—
990C24—248no—
991C24—264no—
992C24—432no—
993C24—432no—
994C24—464no—
995C24—464no—
996C24—4384no—
997C24—432no—
998C24—432no—
999C24—432no—
1000C24—432no—
1001C24—432no—
1002C24—432no—
1003C24—432no—
1004C24—432no—
1005C24—432no—
1006C24—432no—
1007C24—432no—
1008C24—432no—
1009C24—432no—
1010C24—432no—
1011C24—432no—
1012C24—464no—
1013C24—464no—
1014C24—464no—
1015C24—464no—
1016C24—464no—
1017C24—464no—
1018C24—8192no—
1019C24—8192no—
1020C24—8384no—
1021C24—8384no—
1022C24—81024no—
1023C24C23×D4124yes—
1024C24C23×D4124yes—
1025C24C23×D4124yes—
1026C24C23×D414yes—
1027C24C2×H(5,𝔽2)14yes—
1028C24C2×H(5,𝔽2)14yes—
1029C24C2×H(5,𝔽2)18yes—
1030C24#58518yes—
1031C24C2618yes—
1032C24C2618yes—
1033C24C2618yes—
1034C24C2614yes—
1035C24C2614yes—
1036C24C2614yes—
1037C24C2613yes—
1038#41—41024no—
1039#41—41024no—
1040C2×Q8—232no—
1041C2×Q8—232no—
1042C2×Q8—232no—
1043C2×Q8—4192no—
1044C2×Q8—416no—
1045C2×Q8—416no—
1046C2×Q8—4192no—
1047C2×Q8C23×D4164yes—
1048C2×D4—264no—
1049C2×D4—264no—
1050C2×D4—264no—
1051C2×D4—264no—
1052C2×D4—264no—
1053C2×D4—264no—
1054C2×D4—264no—
1055C2×D4—232no—
1056C2×D4—232no—
1057C2×D4—232no—
1058C2×D4—264no—
1059C2×D4—232no—
1060C2×D4—232no—
1061C2×D4—232no—
1062C2×D4—232no—
1063C2×D4—232no—
1064C2×D4—232no—
1065C2×D4—2128no—
1066C2×D4—432no—
1067C2×D4—432no—
1068C2×D4—4192no—
1069C2×D4—4192no—
1070C2×D4—4192no—
1071C2×D4—416no—
1072C2×D4—416no—
1073C2×D4—416no—
1074C2×D4—416no—
1075C2×D4—416no—
1076C2×D4—416no—
1077C2×D4—432no—
1078C2×D4—432no—
1079C2×D4—4384no—
1080C2×D4—41024no—
1081C2×D4—464no—
1082C2×D4—464no—
1083C2×D4—464no—
1084C2×D4—464no—
1085C2×D4—464no—
1086C2×D4—464no—
1087C2×D4—464no—
1088C2×D4—464no—
1089C2×D4—464no—
1090C2×D4—464no—
1091C2×D4—464no—
1092C2×D4—4384no—
1093C2×D4—4192no—
1094C2×D4—4192no—
1095C2×D4—4192no—
1096C2×D4—8384no—
1097C2×D4—8192no—
1098C2×D4—8192no—
1099C2×D4—8192no—
1100C2×D4—8192no—
1101C2×D4—8192no—
1102C2×D4—8192no—
1103C2×D4—8384no—
1104C2×D4C23×D4164yes—
1105C2×D4C23×D4164yes—
1106C2×D4C23×D4164yes—
1107C22×C4—224no—
1108C22×C4—212no—
1109C22×C4—212no—
1110C22×C4—212no—
1111C22×C4—212no—
1112C22×C4—212no—
1113C22×C4—212no—
1114C22×C4—224no—
1115C22×C4—232no—
1116C22×C4—232no—
1117C22×C4—232no—
1118C22×C4—264no—
1119C22×C4—232no—
1120C22×C4—232no—
1121C22×C4—232no—
1122C22×C4—232no—
1123C22×C4—232no—
1124C22×C4—232no—
1125C22×C4—2384no—
1126C22×C4—2384no—
1127C22×C4—2384no—
1128C22×C4—224no—
1129C22×C4—224no—
1130C22×C4—224no—
1131C22×C4—224no—
1132C22×C4—224no—
1133C22×C4—224no—
1134C22×C4—224no—
1135C22×C4—224no—
1136C22×C4—224no—
1137C22×C4—224no—
1138C22×C4—248no—
1139C22×C4—224no—
1140C22×C4—248no—
1141C22×C4—224no—
1142C22×C4—224no—
1143C22×C4—248no—
1144C22×C4—224no—
1145C22×C4—224no—
1146C22×C4—224no—
1147C22×C4—248no—
1148C22×C4—264no—
1149C22×C4—264no—
1150C22×C4—264no—
1151C22×C4—432no—
1152C22×C4—432no—
1153C22×C4—432no—
1154C22×C4—432no—
1155C22×C4—464no—
1156C22×C4—4384no—
1157C22×C4—4384no—
1158C22×C4—432no—
1159C22×C4—432no—
1160C22×C4—432no—
1161C22×C4—432no—
1162C22×C4—432no—
1163C22×C4—432no—
1164C22×C4—432no—
1165C22×C4—432no—
1166C22×C4—8192no—
1167C22×C4#534164yes—
1168C22×C4C23×D4124yes—
1169C22×C4C23×D4124yes—
1170C22×C4C23×D4124yes—
1171C22×C4C23×D4164yes—
1172C22×C4C23×D4164yes—
1173C22×C4C23×D4164yes—
1174C22×C4C23×D4124yes—
1175C22×C4C2×H(5,𝔽2)148yes—
1176C22×C4C2×H(5,𝔽2)124yes—
1177C22×C4C2×H(5,𝔽2)124yes—
1178C22×C4C2618yes—
1179C22×C4C2618yes—
1180C22×C4C2618yes—
1181C22×C4C2618yes—
1182C22×C4C2618yes—
1183C22×C4C2618yes—
1184C22×C4C2618yes—
1185C22×C4C2618yes—
1186C22×C4C2614yes—
1187C22×C4C2614yes—
1188C22×C4C2614yes—
1189C22×C4C2618yes—
1190C22×C4C2614yes—
1191C4⋊C4—264no—
1192C4⋊C4—232no—
1193C4⋊C4—232no—
1194C4⋊C4—232no—
1195C4⋊C4—232no—
1196C4⋊C4—264no—
1197C4⋊C4—264no—
1198C4⋊C4—2128no—
1199C4⋊C4—432no—
1200C4⋊C4—464no—
1201C22⋊C4—264no—
1202C22⋊C4—264no—
1203C22⋊C4—264no—
1204C22⋊C4—264no—
1205C22⋊C4—264no—
1206C22⋊C4—264no—
1207C22⋊C4—264no—
1208C22⋊C4—264no—
1209C22⋊C4—264no—
1210C22⋊C4—264no—
1211C22⋊C4—2128no—
1212C22⋊C4—264no—
1213C22⋊C4—432no—
1214C22⋊C4—464no—
1215C22⋊C4—432no—
1216C22⋊C4—432no—
1217C22⋊C4—464no—
1218C22⋊C4—464no—
1219C22⋊C4—464no—
1220C22⋊C4—464no—
1221C22⋊C4—464no—
1222C22⋊C4—464no—
1223C42—264no—
1224C42—232no—
1225C42—232no—
1226C42—232no—
1227C42—232no—
1228C42—432no—
1229C23—248no—
1230C23—248no—
1231C23—248no—
1232C23—248no—
1233C23—248no—
1234C23—248no—
1235C23—28no—
1236C23—28no—
1237C23—24no—
1238C23—24no—
1239C23—24no—
1240C23—24no—
1241C23—28no—
1242C23—24no—
1243C23—24no—
1244C23—28no—
1245C23—28no—
1246C23—28no—
1247C23—248no—
1248C23—248no—
1249C23—248no—
1250C23—28no—
1251C23—28no—
1252C23—28no—
1253C23—216no—
1254C23—216no—
1255C23—28no—
1256C23—28no—
1257C23—216no—
1258C23—28no—
1259C23—28no—
1260C23—28no—
1261C23—28no—
1262C23—216no—
1263C23—216no—
1264C23—216no—
1265C23—4128no—
1266C23—448no—
1267C23—448no—
1268C23—448no—
1269C23—4128no—
1270C23—4128no—
1271C23—4128no—
1272C23—448no—
1273C23—448no—
1274C23—448no—
1275C23—496no—
1276C23—496no—
1277C23—496no—
1278C23—448no—
1279C23—448no—
1280C23—448no—
1281C23—448no—
1282C23—448no—
1283C23—448no—
1284C23—448no—
1285C23—448no—
1286C23—448no—
1287C23—496no—
1288C23—496no—
1289C23—496no—
1290C23—864no—
1291C23—864no—
1292C23—8128no—
1293C23—8128no—
1294C23—81536no—
1295C23—8128no—
1296C23—8128no—
1297C23—8128no—
1298C23C2×#534116yes—
1299C23#3498116yes—
1300C23#3500116yes—
1301C23#3542132yes—
1302C23#3546132yes—
1303C23C24×D418yes—
1304C23C24×D418yes—
1305C23C24×D418yes—
1306C23C24×D416yes—
1307C23C22×H(5,𝔽2)16yes—
1308C23C22×H(5,𝔽2)112yes—
1309C23C22×H(5,𝔽2)16yes—
1310C23C2×#585112yes—
1311C23C2711yescharacteristic
1312Q8—464no—
1313Q8—464no—
1314D4—464no—
1315D4—464no—
1316D4—464no—
1317D4—4128no—
1318D4—4128no—
1319D4—464no—
1320D4—464no—
1321D4—464no—
1322D4—8128no—
1323D4—864no—
1324D4—864no—
1325D4—864no—
1326D4—864no—
1327D4—864no—
1328D4—864no—
1329D4—8128no—
1330C2×C4—28no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—28no—
1338C2×C4—248no—
1339C2×C4—248no—
1340C2×C4—248no—
1341C2×C4—296no—
1342C2×C4—2128no—
1343C2×C4—2128no—
1344C2×C4—2128no—
1345C2×C4—28no—
1346C2×C4—28no—
1347C2×C4—28no—
1348C2×C4—28no—
1349C2×C4—28no—
1350C2×C4—28no—
1351C2×C4—28no—
1352C2×C4—28no—
1353C2×C4—28no—
1354C2×C4—28no—
1355C2×C4—216no—
1356C2×C4—28no—
1357C2×C4—216no—
1358C2×C4—28no—
1359C2×C4—28no—
1360C2×C4—216no—
1361C2×C4—28no—
1362C2×C4—28no—
1363C2×C4—28no—
1364C2×C4—216no—
1365C2×C4—4128no—
1366C2×C4—4128no—
1367C2×C4—448no—
1368C2×C4—448no—
1369C2×C4—448no—
1370C2×C4—448no—
1371C2×C4—448no—
1372C2×C4—448no—
1373C2×C4—448no—
1374C2×C4—448no—
1375C2×C4—864no—
1376C2×C4C2×#534196yes—
1377C2×C4C24×D418yes—
1378C2×C4C24×D418yes—
1379C2×C4C24×D418yes—
1380C2×C4C24×D418yes—
1381C2×C4C22×H(5,𝔽2)116yes—
1382C2×C4C22×H(5,𝔽2)18yes—
1383C2×C4C22×H(5,𝔽2)18yes—
1384C22—28no—
1385C22—28no—
1386C22—28no—
1387C22—28no—
1388C22—28no—
1389C22—28no—
1390C22—28no—
1391C22—28no—
1392C22—28no—
1393C22—48no—
1394C22—48no—
1395C22—48no—
1396C22—48no—
1397C22—48no—
1398C22—48no—
1399C22—496no—
1400C22—496no—
1401C22—496no—
1402C22—416no—
1403C22—416no—
1404C22—416no—
1405C22—416no—
1406C22—416no—
1407C22—416no—
1408C22—48no—
1409C22—48no—
1410C22—48no—
1411C22—48no—
1412C22—48no—
1413C22—48no—
1414C22—48no—
1415C22—48no—
1416C22—48no—
1417C22—8256no—
1418C22—896no—
1419C22—896no—
1420C22—896no—
1421C22#37300164yesdirect product factor
1422C22C22×#534112yes—
1423C22C2×#3542124yes—
1424C22C2×#3546124yes—
1425C22C2×#3498112yes—
1426C22C2×#3500112yes—
1427C22C25×D411yescharacteristic
1428C22C23×H(5,𝔽2)11yescharacteristic
1429C22C23×H(5,𝔽2)12yes—
1430C22C23×H(5,𝔽2)11yescharacteristic
1431C22C22×#58512yes—
1432C4—216no—
1433C4—28no—
1434C4—28no—
1435C4—28no—
1436C4—48no—
1437C4—48no—
1438C4—48no—
1439C4—48no—
1440C4—48no—
1441C4—48no—
1442C4—48no—
1443C4—48no—
1444C4C22×#534116yes—
1445C2—48no—
1446C2—48no—
1447C2—48no—
1448C2—88no—
1449C2—88no—
1450C2—88no—
1451C2C2×#37300124yesdirect product factor
1452C2C23×#53411yescharacteristic
1453C2C22×#349811yescharacteristic
1454C2C22×#350011yescharacteristic
1455C2C22×#354212yes—
1456C2C22×#354612yes—
subgroupG/H
center, socleC25C25
commutator, Frattini, cosocleC23C27
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#537C2semidirect
2. C23×#535C2semidirect
3. C2×#37300C2direct (N × H)
4. C22×#2730C2semidirect
5. C22×#2673C2semidirect
6. C22×#2678C2semidirect
7. C22×#2668C2semidirect
8. C22×#2856C2semidirect
9. C22×#2850C2semidirect
10. C22×#2500C2semidirect
11. C22×#2499C2semidirect
12. C22×#2504C2semidirect
13. C22×#2501C2semidirect
14. C22×#2431C2semidirect
15. C22×#2431C2semidirect
16. C22×#2435C2semidirect
17. C22×#2433C2semidirect
18. C22×#2620C2semidirect
19. C22×#2619C2semidirect
20. C22×#2297C2semidirect
22. C24×#41C22semidirect
25. C22×#537C22semidirect
27. C22×#535C22semidirect
34. C23×#123C22semidirect
36. C23×C22⋊Q8C22semidirect
37. C23×C22⋊Q8C22semidirect
45. C23×#121C22semidirect
46. C23×#121C22semidirect
47. C23×#121C22semidirect
52. C23×#117C22semidirect
53. C24×C4⋊C4C22semidirect
54. C24×C42C22semidirect
55. C2×#2730C22semidirect
56. C2×#2678C22semidirect
57. C2×#2673C22semidirect
58. C2×#2668C22semidirect
59. #37300C22direct (N × H)
60. C2×#2856C22semidirect
61. C2×#2850C22semidirect
62. C2×#2500C22semidirect
63. C2×#2499C22semidirect
64. C2×#2504C22semidirect
65. C2×#2501C22semidirect
66. C2×#2431C22semidirect
67. C2×#2431C22semidirect
68. C2×#2435C22semidirect
69. C2×#2433C22semidirect
70. C2×#2620C22semidirect
71. C2×#2619C22semidirect
72. C22×#399C22semidirect
74. C22×#397C22semidirect
75. C22×#396C22semidirect
78. C22×#394C22semidirect
79. C22×#394C22semidirect
81. C22×#392C22semidirect
82. C22×#392C22semidirect
83. C22×#392C22semidirect
84. C2×#2297C22semidirect
85. C22×#391C22semidirect
86. C22×#391C22semidirect
87. C22×#391C22semidirect
93. C22×#390C22semidirect
94. C22×#390C22semidirect
95. C22×#390C22semidirect
96. C22×#388C22semidirect
97. C22×#388C22semidirect
98. C22×#387C22semidirect
100. C22×#386C22semidirect
101. C22×#386C22semidirect
102. C22×#386C22semidirect
103. C22×#386C22semidirect
104. C22×#386C22semidirect
105. C22×#384C22semidirect
106. C22×#384C22semidirect
107. C22×#382C22semidirect
108. C22×#382C22semidirect
112. C22×C4×C22⋊C4C22semidirect
113. C22×C4×C22⋊C4C22semidirect
120. C23×#41D4semidirect
122. C23×#41C23semidirect
152. C2×#537C23semidirect
154. C2×#535C23semidirect
168. C22×#123C23semidirect
173. C22×C22⋊Q8C23semidirect
174. C22×C22⋊Q8C23semidirect
192. C22×#121C23semidirect
193. C22×#121C23semidirect
194. C22×#121C23semidirect
204. C22×#117C23semidirect
216. C23×C4⋊C4C23semidirect
246. C23×C42C23semidirect
247. #2856C23semidirect
248. #2850C23semidirect
249. #2730C23semidirect
250. #2678C23semidirect
251. #2673C23semidirect
252. #2668C23semidirect
253. #2620C23semidirect
254. #2619C23semidirect
255. #2504C23semidirect
256. #2501C23semidirect
257. #2500C23semidirect
258. #2499C23semidirect
259. #2435C23semidirect
260. #2433C23semidirect
261. #2431C23semidirect
262. #2431C23semidirect
263. C2×#399C23semidirect
265. C2×#397C23semidirect
266. C2×#396C23semidirect
269. C2×#394C23semidirect
270. C2×#394C23semidirect
272. C2×#392C23semidirect
273. C2×#392C23semidirect
274. C2×#392C23semidirect
275. #2297C23semidirect
276. C2×#391C23semidirect
277. C2×#391C23semidirect
278. C2×#391C23semidirect
284. C2×#390C23semidirect
285. C2×#390C23semidirect
286. C2×#390C23semidirect
287. C2×#388C23semidirect
288. C2×#388C23semidirect
289. C2×#387C23semidirect
291. C2×#386C23semidirect
292. C2×#386C23semidirect
293. C2×#386C23semidirect
294. C2×#386C23semidirect
295. C2×#386C23semidirect
296. C2×#384C23semidirect
297. C2×#384C23semidirect
298. C2×#382C23semidirect
299. C2×#382C23semidirect
303. C2×C4×C22⋊C4C23semidirect
304. C2×C4×C22⋊C4C23semidirect
332. C22×#41C2×D4semidirect
334. C22×#41C24semidirect
457. C2×#123C24semidirect
462. C2×C22⋊Q8C24semidirect
463. C2×C22⋊Q8C24semidirect
481. C2×#121C24semidirect
482. C2×#121C24semidirect
483. C2×#121C24semidirect
493. C2×#117C24semidirect
515. C22×C4⋊C4C24semidirect
573. C22×C42C24semidirect
574. #399C24semidirect
576. #397C24semidirect
577. #396C24semidirect
580. #394C24semidirect
581. #394C24semidirect
583. #392C24semidirect
584. #392C24semidirect
585. #392C24semidirect
586. #391C24semidirect
587. #391C24semidirect
588. #391C24semidirect
594. #390C24semidirect
595. #390C24semidirect
596. #390C24semidirect
597. #388C24semidirect
598. #388C24semidirect
599. #387C24semidirect
601. #386C24semidirect
602. #386C24semidirect
603. #386C24semidirect
604. #386C24semidirect
605. #386C24semidirect
606. #384C24semidirect
607. #384C24semidirect
608. #382C24semidirect
609. #382C24semidirect
613. C4×C22⋊C4C24semidirect
614. C4×C22⋊C4C24semidirect
678. C2×#41C22×D4semidirect
1421. C22#37300direct (N × H)
1451. C2C2×#37300direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5372
C23×#5352
C2×#373002
C22×#27302
C22×#26732
C22×#26782
C22×#26682
C22×#28562
C22×#28502
C22×#25002
C22×#24992
C22×#25042
C22×#25012
C22×#24312
C22×#24352
C22×#24332
C22×#26202
C22×#26192
C22×#22972