Finite Group Databasebeta

← #689764

Subgroups — #689764

Order 512.

3018 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2434C211yesmaximal, characteristic
2C2×#2329C211yesmaximal, characteristic
3#16630C211yesmaximal, characteristic, complemented
4#16553C211yesmaximal, characteristic, complemented
5#16475C211yesmaximal, characteristic, complemented
6#16325C211yesmaximal, characteristic, complemented
7#16093C211yesmaximal, characteristic, complemented
8#16062C211yesmaximal, characteristic, complemented
9#15862C211yesmaximal, characteristic, complemented
10#15861C211yesmaximal, characteristic, complemented
11#15627C211yesmaximal, characteristic, complemented
12#15510C211yesmaximal, characteristic, complemented
13#15332C211yesmaximal, characteristic, complemented
14#15318C211yesmaximal, characteristic, complemented
15#15191C211yesmaximal, characteristic, complemented
16#15128C211yesmaximal, characteristic, complemented
17#15014C211yesmaximal, characteristic
18#14958C211yesmaximal, characteristic, complemented
19#14874C211yesmaximal, characteristic
20#14787C211yesmaximal, characteristic, complemented
21#14758C211yesmaximal, characteristic
22#14736C211yesmaximal, characteristic
23#14265C211yesmaximal, characteristic
24#14131C211yesmaximal, characteristic
25#14052C211yesmaximal, characteristic
26#14052C211yesmaximal, characteristic
27#14052C211yesmaximal, characteristic
28#14044C211yesmaximal, characteristic
29#14004C211yesmaximal, characteristic
30C2×#1446C211yesmaximal, characteristic
31#13814C211yesmaximal, characteristic
32C24×Q8C2211yescharacteristic
33C22×C4⋊Q8C2211yescharacteristic
34C22×C4⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37#2434—28no—
38C2×#398C2211yescharacteristic
39C2×#395C2211yescharacteristic
40C2×#395C2211yescharacteristic
41C2×#395C2211yescharacteristic
42C2×#395C2211yescharacteristic
43C2×#395C2211yescharacteristic
44C2×#395C2211yescharacteristic
45C2×#395C2211yescharacteristic
46C2×#395C2211yescharacteristic
47C2×#395C2211yescharacteristic
48#2329—28no—
49C2×#391C2211yescharacteristic
50C2×#391C2211yescharacteristic
51C2×#391C2211yescharacteristic
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#391C2211yescharacteristic
55C2×#391C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#389C2211yescharacteristic
59C2×#387C2211yescharacteristic
60C2×#387C2211yescharacteristic
61C2×#387C2211yescharacteristic
62C2×#387C2211yescharacteristic
63C2×#387C2211yescharacteristic
64C2×#385C2211yescharacteristic
65C2×#385C2211yescharacteristic
66C2×#385C2211yescharacteristic
67C2×#385C2211yescharacteristic
68C2×#385C2211yescharacteristic
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#385C2211yescharacteristic
72C2×#385C2211yescharacteristic
73C2×#385C2211yescharacteristic
74C2×#380C2211yescharacteristic
75C2×#380C2211yescharacteristic
76C2×C4×C4⋊C4C2211yescharacteristic
77C2×C4×C22⋊C4C2211yescharacteristic
78C2×C4×C22⋊C4C2211yescharacteristic
79C2×C4×C22⋊C4C2211yescharacteristic
80C2×C4×C22⋊C4C2211yescharacteristic
81C22×#95C2211yescharacteristic
82C22×#95C2211yescharacteristic
83C22×#95C2211yescharacteristic
84C22×#95C2211yescharacteristic
85C22×#95C2211yescharacteristic
86C22×#95C2211yescharacteristic
87#1446C2211yescharacteristic
88#1446C2211yescharacteristic
89#1446C2211yescharacteristic
90#1446C2211yescharacteristic
91#1446C2211yescharacteristic
92#1446C2211yescharacteristic
93#1446C2211yescharacteristic
94#1446C2211yescharacteristic
95#1446C2211yescharacteristic
96#1446C2211yescharacteristic
97#1446C2211yescharacteristic
98#1446C2211yescharacteristic
99#1446C2211yescharacteristic
100#1446C2211yescharacteristic
101#1446C2211yescharacteristic
102#1446C2211yescharacteristic
103#1445C2211yescharacteristic
104#1445C2211yescharacteristic
105#1445C2211yescharacteristic
106#1445C2211yescharacteristic
107#1445C2211yescharacteristic
108#1445C2211yescharacteristic
109#1445C2211yescharacteristic
110#1445C2211yescharacteristic
111#1445C2211yescharacteristic
112#1444C2211yescharacteristic
113#1444C2211yescharacteristic
114#1444C2211yescharacteristic
115#1444C2211yescharacteristic
116#1444C2211yescharacteristic
117#1444C2211yescharacteristic
118#1444C2211yescharacteristic
119#1443C2211yescharacteristic
120#1443C2211yescharacteristic
121#1443C2211yescharacteristic
122#1442C2211yescharacteristic
123#1442C2211yescharacteristic
124#1442C2211yescharacteristic
125#1442C2211yescharacteristic
126#1442C2211yescharacteristic
127#1442C2211yescharacteristic
128#1442C2211yescharacteristic
129#1442C2211yescharacteristic
130#1442C2211yescharacteristic
131#1442C2211yescharacteristic
132#1442C2211yescharacteristic
133#1442C2211yescharacteristic
134#1441C2211yescharacteristic
135#1441C2211yescharacteristic
136#1441C2211yescharacteristic
137#1441C2211yescharacteristic
138#1441C2211yescharacteristic
139#1441C2211yescharacteristic
140#1441C2211yescharacteristic
141#1441C2211yescharacteristic
142#1441C2211yescharacteristic
143#1441C2211yescharacteristic
144#1441C2211yescharacteristic
145#1441C2211yescharacteristic
146#1441C2211yescharacteristic
147#1441C2211yescharacteristic
148#1441C2211yescharacteristic
149#1441C2211yescharacteristic
150#1441C2211yescharacteristic
151#1441C2211yescharacteristic
152#1441C2211yescharacteristic
153#1436C2211yescharacteristic
154#1436C2211yescharacteristic
155#1436C2211yescharacteristic
156#1436C2211yescharacteristic
157#1436C2211yescharacteristic
158#1436C2211yescharacteristic
159#1436C2211yescharacteristic
160#1436C2211yescharacteristic
161#1436C2211yescharacteristic
162#1436C2211yescharacteristic
163#1436C2211yescharacteristic
164#1436C2211yescharacteristic
165#1436C2211yescharacteristic
166#1436C2211yescharacteristic
167#1436C2211yescharacteristic
168#1436C2211yescharacteristic
169C4⋊#95C2211yescharacteristic
170C4⋊#95C2211yescharacteristic
171C4⋊#95C2211yescharacteristic
172C4⋊#95C2211yescharacteristic
173C4⋊#95C2211yescharacteristic
174C4⋊#95C2211yescharacteristic
175C4⋊#95C2211yescharacteristic
176#1434C2211yescharacteristic
177#1434C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C4×#95C2211yescharacteristic
189C23×Q8—24no—
190C23×Q8—24no—
191C23×Q8—42no—
192C23×Q8—42no—
193C23×Q8—42no—
194C23×Q8—42no—
195C23×Q8—42no—
196C23×Q8C2311yescharacteristic
197C23×Q8C2311yescharacteristic
198C23×Q8C2311yescharacteristic
199C23×Q8C2311yescharacteristic
200C23×Q8C2311yescharacteristic
201C23×Q8C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C2×C4⋊Q8—24no—
210C2×C4⋊Q8—24no—
211C2×C4⋊Q8—42no—
212C2×C4⋊Q8—42no—
213C2×C4⋊Q8—42no—
214C2×C4⋊Q8—42no—
215C2×C22⋊Q8—24no—
216C2×C22⋊Q8—24no—
217C2×C22⋊Q8—24no—
218C2×C22⋊Q8—24no—
219C2×C22⋊Q8—42no—
220C2×C22⋊Q8Q818yescomplemented
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
226C22×C4⋊C4C2311yescharacteristic
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C42C2311yescharacteristic
260C22×C42C2311yescharacteristic
261C22×C42C2311yescharacteristic
262C22×C42C2311yescharacteristic
263C22×C42C2311yescharacteristic
264C22×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267#398—42no—
268#395—24no—
269#395—24no—
270#395—24no—
271#395—24no—
272#395—42no—
273#395—42no—
274#395—42no—
275#395—42no—
276#395—42no—
277#391—24no—
278#391—24no—
279#391—24no—
280#391—24no—
281#391—42no—
282#391—42no—
283#391—42no—
284#389—24no—
285#389—24no—
286#389—42no—
287#387—24no—
288#387—24no—
289#387—24no—
290#387—24no—
291#387—42no—
292#385—24no—
293#385—24no—
294#385—24no—
295#385—24no—
296#385—24no—
297#385—24no—
298#385—42no—
299#385—42no—
300#385D418yes—
301#385Q818yescomplemented
302#380—24no—
303#380—42no—
304C4×C4⋊C4—42no—
305C4×C22⋊C4—24no—
306C4×C22⋊C4—24no—
307C4×C22⋊C4—24no—
308C4×C22⋊C4—24no—
309C2×#95—24no—
310C2×#95—42no—
311C2×#95—42no—
312C2×#95—42no—
313C2×#95—42no—
314C2×#95—42no—
315C2×#95C2311yescharacteristic
316C2×#95C2311yescharacteristic
317C2×#95C2311yescharacteristic
318C2×#95C2311yescharacteristic
319C2×#95C2311yescharacteristic
320C2×#95C2311yescharacteristic
321C2×#95C2311yescharacteristic
322C2×#95C2311yescharacteristic
323C2×#95C2311yescharacteristic
324C2×#95C2311yescharacteristic
325C2×#95C2311yescharacteristic
326C2×#95C2311yescharacteristic
327C2×#95C2311yescharacteristic
328C2×#95C2311yescharacteristic
329C2×#95C2311yescharacteristic
330C2×#95C2311yescharacteristic
331C2×#95C2311yescharacteristic
332C2×#95C2311yescharacteristic
333C2×#95C2311yescharacteristic
334C2×#95C2311yescharacteristic
335C2×#95C2311yescharacteristic
336C2×#95C2311yescharacteristic
337C2×#95C2311yescharacteristic
338C2×#95C2311yescharacteristic
339C2×#95C2311yescharacteristic
340C2×#95C2311yescharacteristic
341C2×#95C2311yescharacteristic
342C2×#95C2311yescharacteristic
343C2×#95C2311yescharacteristic
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2311yescharacteristic
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
359C2×#95C2311yescharacteristic
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
364C2×#95C2311yescharacteristic
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C25C2411yescharacteristic
412C22×Q8—22no—
413C22×Q8—22no—
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—22no—
418C22×Q8—22no—
419C22×Q8—22no—
420C22×Q8—22no—
421C22×Q8—22no—
422C22×Q8—22no—
423C22×Q8—22no—
424C22×Q8—22no—
425C22×Q8—22no—
426C22×Q8—22no—
427C22×Q8—22no—
428C22×Q8—22no—
429C22×Q8—22no—
430C22×Q8—22no—
431C22×Q8—22no—
432C22×Q8—22no—
433C22×Q8—22no—
434C22×Q8—41no—
435C22×Q8—41no—
436C22×Q8—41no—
437C22×Q8—41no—
438C22×Q8—41no—
439C22×Q8—41no—
440C22×Q8—41no—
441C22×Q8—41no—
442C22×Q8—41no—
443C22×Q8—41no—
444C22×Q8—41no—
445C22×Q8—41no—
446C22×Q8—41no—
447C22×Q8—41no—
448C22×Q8—41no—
449C22×Q8—41no—
450C22×Q8—41no—
451C22×Q8—41no—
452C22×Q8—41no—
453C22×Q8—416no—
454C22×Q8—416no—
455C22×Q8—416no—
456C22×Q8—416no—
457C22×Q8—416no—
458C22×Q8—416no—
459C22×Q8—416no—
460C22×Q8C2×Q814yescomplemented
461C23×C4—22no—
462C23×C4—22no—
463C23×C4—22no—
464C23×C4—22no—
465C23×C4—22no—
466C23×C4—22no—
467C23×C4—22no—
468C23×C4—22no—
469C23×C4—22no—
470C23×C4—22no—
471C23×C4—22no—
472C23×C4—22no—
473C23×C4—22no—
474C23×C4—22no—
475C23×C4—22no—
476C23×C4—22no—
477C23×C4—22no—
478C23×C4—22no—
479C23×C4—22no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—22no—
483C23×C4—22no—
484C23×C4—41no—
485C23×C4—41no—
486C23×C4—41no—
487C23×C4—41no—
488C23×C4—41no—
489C23×C4—41no—
490C23×C4—41no—
491C23×C4—41no—
492C23×C4—41no—
493C23×C4—41no—
494C23×C4—41no—
495C23×C4—41no—
496C23×C4—41no—
497C23×C4—41no—
498C23×C4—41no—
499C23×C4—41no—
500C23×C4—41no—
501C23×C4—41no—
502C23×C4—41no—
503C23×C4—41no—
504C23×C4—41no—
505C23×C4—41no—
506C23×C4C2×D414yes—
507C23×C4C2×Q814yes—
508C23×C4C2×Q814yes—
509C23×C4#4114yes—
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515C23×C4C2411yescharacteristic
516C23×C4C2411yescharacteristic
517C23×C4C2411yescharacteristic
518C23×C4C2411yescharacteristic
519C23×C4C2411yescharacteristic
520C23×C4C2411yescharacteristic
521C23×C4C2411yescharacteristic
522C23×C4C2411yescharacteristic
523C23×C4C2411yescharacteristic
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2411yescharacteristic
530C23×C4C2411yescharacteristic
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C4⋊Q8—416no—
541C4⋊Q8—416no—
542C22⋊Q8—232no—
543C22⋊Q8—416no—
544C2×C4⋊C4—22no—
545C2×C4⋊C4—22no—
546C2×C4⋊C4—22no—
547C2×C4⋊C4—22no—
548C2×C4⋊C4—22no—
549C2×C4⋊C4—22no—
550C2×C4⋊C4—22no—
551C2×C4⋊C4—22no—
552C2×C4⋊C4—22no—
553C2×C4⋊C4—22no—
554C2×C4⋊C4—22no—
555C2×C4⋊C4—22no—
556C2×C4⋊C4—22no—
557C2×C4⋊C4—22no—
558C2×C4⋊C4—22no—
559C2×C4⋊C4—22no—
560C2×C4⋊C4—22no—
561C2×C4⋊C4—22no—
562C2×C4⋊C4—22no—
563C2×C4⋊C4—22no—
564C2×C4⋊C4—22no—
565C2×C4⋊C4—22no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—22no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—22no—
571C2×C4⋊C4—22no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—22no—
574C2×C4⋊C4—22no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—22no—
581C2×C4⋊C4—41no—
582C2×C4⋊C4—41no—
583C2×C4⋊C4—41no—
584C2×C4⋊C4—41no—
585C2×C4⋊C4—41no—
586C2×C4⋊C4—41no—
587C2×C4⋊C4—41no—
588C2×C4⋊C4—41no—
589C2×C4⋊C4—41no—
590C2×C4⋊C4—41no—
591C2×C4⋊C4—41no—
592C2×C4⋊C4—41no—
593C2×C4⋊C4—41no—
594C2×C4⋊C4—41no—
595C2×C4⋊C4—41no—
596C2×C4⋊C4—41no—
597C2×C4⋊C4—41no—
598C2×C4⋊C4—41no—
599C2×C4⋊C4—41no—
600C2×C4⋊C4—41no—
601C2×C4⋊C4—41no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4—41no—
606C2×C4⋊C4—41no—
607C2×C4⋊C4—41no—
608C2×C4⋊C4—41no—
609C2×C4⋊C4—41no—
610C2×C4⋊C4—41no—
611C2×C4⋊C4—41no—
612C2×C4⋊C4—41no—
613C2×C4⋊C4—41no—
614C2×C4⋊C4—41no—
615C2×C4⋊C4—41no—
616C2×C4⋊C4—41no—
617C2×C4⋊C4—41no—
618C2×C4⋊C4—41no—
619C2×C4⋊C4—41no—
620C2×C4⋊C4—41no—
621C2×C4⋊C4—41no—
622C2×C4⋊C4—41no—
623C2×C4⋊C4—41no—
624C2×C4⋊C4—41no—
625C2×C4⋊C4—41no—
626C2×C4⋊C4—41no—
627C2×C4⋊C4C2×D414yes—
628C2×C4⋊C4C2×D414yes—
629C2×C4⋊C4C2×Q814yescomplemented
630C2×C4⋊C4C2×Q814yescomplemented
631C2×C4⋊C4C2×Q814yescomplemented
632C2×C4⋊C4C2×Q814yescomplemented
633C2×C4⋊C4C2×Q814yescomplemented
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4C2×D414yes—
652C2×C22⋊C4C2×D414yes—
653C2×C22⋊C4C2×Q814yes—
654C2×C22⋊C4C2×Q814yes—
655C2×C22⋊C4C2×Q814yes—
656C2×C22⋊C4C2×Q814yes—
657C2×C22⋊C4#4114yes—
658C2×C42—22no—
659C2×C42—22no—
660C2×C42—22no—
661C2×C42—22no—
662C2×C42—22no—
663C2×C42—22no—
664C2×C42—22no—
665C2×C42—22no—
666C2×C42—22no—
667C2×C42—22no—
668C2×C42—22no—
669C2×C42—41no—
670C2×C42—41no—
671C2×C42—41no—
672C2×C42—41no—
673C2×C42—41no—
674C2×C42—41no—
675C2×C42—41no—
676C2×C42—41no—
677C2×C42—41no—
678C2×C42—41no—
679C2×C42—41no—
680C2×C42—41no—
681C2×C42—41no—
682#95—22no—
683#95—22no—
684#95—22no—
685#95—22no—
686#95—22no—
687#95—22no—
688#95—22no—
689#95—22no—
690#95—22no—
691#95—22no—
692#95—22no—
693#95—22no—
694#95—22no—
695#95—22no—
696#95—22no—
697#95—22no—
698#95—22no—
699#95—22no—
700#95—22no—
701#95—22no—
702#95—22no—
703#95—22no—
704#95—22no—
705#95—22no—
706#95—22no—
707#95—22no—
708#95—22no—
709#95—22no—
710#95—22no—
711#95—22no—
712#95—22no—
713#95—22no—
714#95—22no—
715#95—22no—
716#95—22no—
717#95—22no—
718#95—22no—
719#95—22no—
720#95—22no—
721#95—22no—
722#95—22no—
723#95—22no—
724#95—41no—
725#95—41no—
726#95—41no—
727#95—41no—
728#95—41no—
729#95—41no—
730#95—41no—
731#95—41no—
732#95—41no—
733#95—41no—
734#95—41no—
735#95—41no—
736#95—41no—
737#95—41no—
738#95—41no—
739#95—41no—
740#95—41no—
741#95—41no—
742#95—41no—
743#95—41no—
744#95—41no—
745#95—41no—
746#95—41no—
747#95—41no—
748#95—41no—
749#95—41no—
750#95—41no—
751#95—41no—
752#95—41no—
753#95—41no—
754#95—41no—
755#95—41no—
756#95—41no—
757#95—41no—
758#95—41no—
759#95—41no—
760#95—41no—
761#95—41no—
762#95—41no—
763#95—41no—
764#95—41no—
765#95—41no—
766#95—41no—
767#95—41no—
768#95—41no—
769#95—41no—
770#95—41no—
771#95—41no—
772#95—41no—
773#95—41no—
774#95C2×D414yes—
775#95C2×D414yes—
776#95C2×Q814yescomplemented
777#95C2×Q814yescomplemented
778C24—21no—
779C24—21no—
780C24—21no—
781C24—21no—
782C24—21no—
783C24—21no—
784C24—21no—
785C24—21no—
786C24C22×D412yes—
787C24C22×Q812yes—
788C24C22×Q812yes—
789C24C2×#4112yes—
790C24C2×#4112yes—
791C24H(5,𝔽2)12yes—
792C242−1+412yes—
793C24C2511yescharacteristic
794C2×Q8—28no—
795C2×Q8—28no—
796C2×Q8—28no—
797C2×Q8—44no—
798C2×Q8—44no—
799C2×Q8—44no—
800C2×Q8—44no—
801C2×Q8—44no—
802C2×Q8—44no—
803C2×Q8—44no—
804C2×Q8—44no—
805C2×Q8—44no—
806C2×Q8—44no—
807C2×Q8—44no—
808C2×Q8—44no—
809C2×Q8—44no—
810C2×Q8—44no—
811C2×Q8—44no—
812C2×Q8—44no—
813C2×Q8—44no—
814C2×Q8—44no—
815C2×Q8—44no—
816C2×Q8—44no—
817C2×Q8—44no—
818C2×Q8—44no—
819C2×Q8—44no—
820C2×Q8—44no—
821C2×Q8—44no—
822C2×Q8—44no—
823C2×Q8—44no—
824C2×Q8—4128no—
825C2×Q8—44no—
826C2×Q8—44no—
827C2×Q8—44no—
828C2×Q8—44no—
829C2×Q8—44no—
830C2×Q8—82no—
831C2×Q8—82no—
832C2×Q8—82no—
833C2×Q8—82no—
834C2×Q8—82no—
835C2×Q8—82no—
836C2×Q8—82no—
837C22×C4—21no—
838C22×C4—21no—
839C22×C4—21no—
840C22×C4—21no—
841C22×C4—21no—
842C22×C4—21no—
843C22×C4—21no—
844C22×C4—21no—
845C22×C4—21no—
846C22×C4—21no—
847C22×C4—21no—
848C22×C4—21no—
849C22×C4—28no—
850C22×C4—28no—
851C22×C4—28no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—21no—
857C22×C4—21no—
858C22×C4—21no—
859C22×C4—21no—
860C22×C4—21no—
861C22×C4—21no—
862C22×C4—21no—
863C22×C4—21no—
864C22×C4—21no—
865C22×C4—21no—
866C22×C4—21no—
867C22×C4—21no—
868C22×C4—21no—
869C22×C4—21no—
870C22×C4—21no—
871C22×C4—21no—
872C22×C4—21no—
873C22×C4—21no—
874C22×C4—21no—
875C22×C4—21no—
876C22×C4—21no—
877C22×C4—21no—
878C22×C4—21no—
879C22×C4—21no—
880C22×C4—21no—
881C22×C4—21no—
882C22×C4—21no—
883C22×C4—21no—
884C22×C4—21no—
885C22×C4—21no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—21no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—28no—
967C22×C4—28no—
968C22×C4—28no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4—44no—
1047C22×C4—44no—
1048C22×C4—44no—
1049C22×C4—44no—
1050C22×C4—44no—
1051C22×C4—44no—
1052C22×C4—44no—
1053C22×C4—44no—
1054C22×C4—82no—
1055C22×C4—82no—
1056C22×C4—82no—
1057C22×C4—82no—
1058C22×C4—82no—
1059C22×C4—82no—
1060C22×C4—82no—
1061C22×C4—82no—
1062C22×C4—82no—
1063C22×C4—82no—
1064C22×C4—82no—
1065C22×C4—82no—
1066C22×C4—82no—
1067C22×C4—82no—
1068C22×C4C22×D412yes—
1069C22×C4C22×D412yes—
1070C22×C4C22×D412yes—
1071C22×C4C22×D412yes—
1072C22×C4C22×D412yes—
1073C22×C4C22×D412yes—
1074C22×C4C22×Q812yes—
1075C22×C4C22×Q812yes—
1076C22×C4C22×Q812yes—
1077C22×C4C22×Q812yes—
1078C22×C4C22×Q812yes—
1079C22×C4C22×Q812yes—
1080C22×C4C22×Q812yes—
1081C22×C4C22×Q812yes—
1082C22×C4C22×Q812yes—
1083C22×C4C22×Q812yes—
1084C22×C4C22×Q812yes—
1085C22×C4C22×Q812yes—
1086C22×C4C2×#4112yes—
1087C22×C4C2×#4112yes—
1088C22×C4C2×#4112yes—
1089C22×C4C2×#4112yes—
1090C22×C4H(5,𝔽2)12yes—
1091C22×C4H(5,𝔽2)12yes—
1092C22×C4H(5,𝔽2)12yes—
1093C22×C4H(5,𝔽2)12yes—
1094C22×C42−1+412yes—
1095C22×C42−1+412yes—
1096C4⋊C4—28no—
1097C4⋊C4—28no—
1098C4⋊C4—28no—
1099C4⋊C4—44no—
1100C4⋊C4—44no—
1101C4⋊C4—44no—
1102C4⋊C4—44no—
1103C4⋊C4—44no—
1104C4⋊C4—44no—
1105C4⋊C4—44no—
1106C4⋊C4—44no—
1107C4⋊C4—44no—
1108C4⋊C4—44no—
1109C4⋊C4—44no—
1110C4⋊C4—44no—
1111C4⋊C4—44no—
1112C4⋊C4—44no—
1113C4⋊C4—44no—
1114C4⋊C4—82no—
1115C4⋊C4—82no—
1116C4⋊C4—82no—
1117C4⋊C4—82no—
1118C4⋊C4—82no—
1119C4⋊C4—82no—
1120C4⋊C4—82no—
1121C4⋊C4—82no—
1122C4⋊C4—82no—
1123C4⋊C4—82no—
1124C4⋊C4—82no—
1125C4⋊C4—82no—
1126C22⋊C4—28no—
1127C22⋊C4—28no—
1128C22⋊C4—28no—
1129C22⋊C4—28no—
1130C22⋊C4—44no—
1131C22⋊C4—44no—
1132C22⋊C4—44no—
1133C22⋊C4C22⋊Q8116yes—
1134C42—44no—
1135C42—44no—
1136C42—44no—
1137C42—82no—
1138C42—82no—
1139C42—82no—
1140C42—82no—
1141C42—82no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23C2×C22⋊Q814yes—
1171C23#53314yes—
1172C23#54214yes—
1173C23#54614yes—
1174C23D4×Q814yes—
1175C23#55714yes—
1176C23Q8214yes—
1177C23C23×D411yescharacteristic
1178C23C23×Q811yescharacteristic
1179C23C23×Q811yescharacteristic
1180C23C22×#4111yescharacteristic
1181C23C22×#4111yescharacteristic
1182C23C2×H(5,𝔽2)11yescharacteristic
1183C23C2×H(5,𝔽2)11yescharacteristic
1184C23C2×H(5,𝔽2)11yescharacteristic
1185C23C2×H(5,𝔽2)11yescharacteristic
1186C23C2×H(5,𝔽2)11yescharacteristic
1187C23C2×2−1+411yescharacteristic
1188C23C2×2−1+411yescharacteristic
1189C23C2×2−1+411yescharacteristic
1190C23#58511yescharacteristic
1191C23#58511yescharacteristic
1192Q8—416no—
1193Q8—416no—
1194Q8—416no—
1195Q8—416no—
1196Q8—88no—
1197Q8—88no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—416no—
1274C2×C4—416no—
1275C2×C4—416no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—88no—
1409C2×C4—88no—
1410C2×C4—88no—
1411C2×C4—88no—
1412C2×C4C2×C22⋊Q814yes—
1413C2×C4C2×C22⋊Q814yes—
1414C2×C4#53814yes—
1415C22—24no—
1416C22—24no—
1417C22—24no—
1418C22—24no—
1419C22—24no—
1420C22—24no—
1421C22—24no—
1422C22—24no—
1423C22—24no—
1424C22—24no—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22#245118yes—
1430C22C22×C22⋊Q811yescharacteristic
1431C22C2×#53311yescharacteristic
1432C22C2×#53811yescharacteristic
1433C22C2×#54211yescharacteristic
1434C22#346111yescharacteristic
1435C22C2×#54611yescharacteristic
1436C22C2×D4×Q811yescharacteristic
1437C22C2×#55711yescharacteristic
1438C22C2×Q8211yescharacteristic
1439C22#348411yescharacteristic
1440C22#348411yescharacteristic
1441C22#349011yescharacteristic
1442C22#349911yescharacteristic
1443C22#350011yescharacteristic
1444C22#350111yescharacteristic
1445C22#350111yescharacteristic
1446C22#350111yescharacteristic
1447C22#350111yescharacteristic
1448C22#350311yescharacteristic
1449C22#350311yescharacteristic
1450C22#350311yescharacteristic
1451C22#350311yescharacteristic
1452C22#350711yescharacteristic
1453C22#351411yescharacteristic
1454C22#351411yescharacteristic
1455C22#352011yescharacteristic
1456C22#352011yescharacteristic
1457C22#353211yescharacteristic
1458C22#353211yescharacteristic
1459C22#353511yescharacteristic
1460C22#353511yescharacteristic
1461C22#353811yescharacteristic
1462C22#353811yescharacteristic
1463C22#356111yescharacteristic
1464C22#356111yescharacteristic
1465C4—24no—
1466C4—24no—
1467C4—24no—
1468C4—42no—
1469C4—42no—
1470C4—42no—
1471C4—42no—
1472C4—42no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C4—42no—
1480C4—42no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C2—28no—
1496C2C2×#245111yescharacteristic
1497C2#3501611yescharacteristic
1498C2#3539811yescharacteristic
1499C2#3570211yescharacteristic
1500C2#3573911yescharacteristic
1501C2#3766011yescharacteristic
1502C2#3943111yescharacteristic
1503C2#3964011yescharacteristic
1504C2#3967611yescharacteristic
1505C2#4084311yescharacteristic
1506C2#4089211yescharacteristic
1507C2#4300311yescharacteristic
1508C2#4355311yescharacteristic
1509C2#4355311yescharacteristic
1510C2#4389111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC25C24
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #16630C2semidirect
4. #16553C2semidirect
5. #16475C2semidirect
6. #16325C2semidirect
7. #16093C2semidirect
8. #16062C2semidirect
9. #15862C2semidirect
10. #15861C2semidirect
11. #15627C2semidirect
12. #15510C2semidirect
13. #15332C2semidirect
14. #15318C2semidirect
15. #15191C2semidirect
16. #15128C2semidirect
18. #14958C2semidirect
20. #14787C2semidirect
220. C2×C22⋊Q8Q8semidirect
301. #385Q8semidirect
460. C22×Q8C2×Q8semidirect
629. C2×C4⋊C4C2×Q8semidirect
630. C2×C4⋊C4C2×Q8semidirect
631. C2×C4⋊C4C2×Q8semidirect
632. C2×C4⋊C4C2×Q8semidirect
633. C2×C4⋊C4C2×Q8semidirect
776. #95C2×Q8semidirect
777. #95C2×Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#24342
C2×#23292
#166302
#165532
#164752
#163252
#160932
#160622
#158622
#158612
#156272
#155102
#153322
#153182
#151912
#151282
#150142
#149582
#148742
#147872
#147582
#147362
#142652
#141312
#140522
#140442
#140042
C2×#14462
#138142