Finite Group Databasebeta

← #648741

Subgroups — #648741

Order 512.

3646 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2493C211yesmaximal, characteristic, complemented
2C2×#2280C211yesmaximal, characteristic
3#15995C211yesmaximal, characteristic, complemented
4#15994C211yesmaximal, characteristic, complemented
5#15492C211yesmaximal, characteristic, complemented
6#15491C211yesmaximal, characteristic, complemented
7#15490C211yesmaximal, characteristic, complemented
8#15489C211yesmaximal, characteristic, complemented
9#15433C211yesmaximal, characteristic, complemented
10#15393C211yesmaximal, characteristic, complemented
11#15019C211yesmaximal, characteristic, complemented
12#14919C211yesmaximal, characteristic, complemented
13#14835C211yesmaximal, characteristic, complemented
14#14834C211yesmaximal, characteristic, complemented
15#14833C211yesmaximal, characteristic, complemented
16#14832C211yesmaximal, characteristic, complemented
17#14727C211yesmaximal, characteristic
18#14726C211yesmaximal, characteristic
19#14681C211yesmaximal, characteristic
20#14218C211yesmaximal, characteristic, complemented
21#14209C211yesmaximal, characteristic, complemented
22#14128C211yesmaximal, characteristic, complemented
23#14038C211yesmaximal, characteristic, complemented
24#13991C211yesmaximal, characteristic
25#13990C211yesmaximal, characteristic, complemented
26#13972C211yesmaximal, characteristic, complemented
27#13962C211yesmaximal, characteristic, complemented
28#13878C211yesmaximal, characteristic, complemented
29#13873C211yesmaximal, characteristic
30#13799C211yesmaximal, characteristic, complemented
31C2×C22⋊#95C211yesmaximal, characteristic
32C25×C4C2211yescharacteristic
33C22×#117C2211yescharacteristic
34C22×#117C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37#2493—28no—
38C2×#401C2211yescharacteristic, complemented
39C2×#400C2211yescharacteristic, complemented
40C2×#400C2211yescharacteristic, complemented
41C2×#400C2211yescharacteristic, complemented
42C2×#397C2211yescharacteristic
43C2×#397C2211yescharacteristic
44C2×#396C2211yescharacteristic
45C2×#396C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#388C2211yescharacteristic
50C2×#387C2211yescharacteristic, complemented
51C2×#387C2211yescharacteristic, complemented
52C2×#387C2211yescharacteristic, complemented
53C2×#385C2211yescharacteristic
54C2×#385C2211yescharacteristic
55C2×#385C2211yescharacteristic
56C2×#385C2211yescharacteristic
57C2×#383C2211yescharacteristic, complemented
58#2280—28no—
59C2×#381C2211yescharacteristic
60C2×#381C2211yescharacteristic
61C2×#381C2211yescharacteristic
62C2×#381C2211yescharacteristic
63C2×#381C2211yescharacteristic
64C2×#381C2211yescharacteristic
65C2×#380C2211yescharacteristic
66C2×#380C2211yescharacteristic
67C2×#380C2211yescharacteristic
68C2×#380C2211yescharacteristic
69C2×#380C2211yescharacteristic
70C2×#380C2211yescharacteristic
71C2×#379C2211yescharacteristic
72C2×#379C2211yescharacteristic
73C2×#379C2211yescharacteristic
74C2×#379C2211yescharacteristic
75C2×C4×C22⋊C4C2211yescharacteristic
76C2×C4×C22⋊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
85#1445C2211yescharacteristic, complemented
86#1445C2211yescharacteristic, complemented
87#1445C2211yescharacteristic, complemented
88#1445C2211yescharacteristic, complemented
89#1444C2211yescharacteristic, complemented
90#1444C2211yescharacteristic, complemented
91#1444C2211yescharacteristic, complemented
92#1444C2211yescharacteristic, complemented
93#1443C2211yescharacteristic, complemented
94#1443C2211yescharacteristic, complemented
95#1443C2211yescharacteristic, complemented
96#1443C2211yescharacteristic, complemented
97#1443C2211yescharacteristic, complemented
98#1443C2211yescharacteristic, complemented
99#1443C2211yescharacteristic, complemented
100#1443C2211yescharacteristic, complemented
101#1443C2211yescharacteristic, complemented
102#1443C2211yescharacteristic, complemented
103#1442C2211yescharacteristic, complemented
104#1442C2211yescharacteristic, complemented
105#1442C2211yescharacteristic, complemented
106#1442C2211yescharacteristic, complemented
107#1442C2211yescharacteristic, complemented
108#1442C2211yescharacteristic, complemented
109#1442C2211yescharacteristic, complemented
110#1442C2211yescharacteristic, complemented
111#1442C2211yescharacteristic, complemented
112#1442C2211yescharacteristic, complemented
113#1441C2211yescharacteristic, complemented
114#1441C2211yescharacteristic, complemented
115#1441C2211yescharacteristic, complemented
116#1441C2211yescharacteristic, complemented
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic
119#1440C2211yescharacteristic
120#1440C2211yescharacteristic
121#1440C2211yescharacteristic
122#1440C2211yescharacteristic
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1437C2211yescharacteristic
138#1437C2211yescharacteristic
139#1437C2211yescharacteristic
140#1437C2211yescharacteristic
141#1436C2211yescharacteristic, complemented
142#1436C2211yescharacteristic, complemented
143#1436C2211yescharacteristic, complemented
144#1436C2211yescharacteristic, complemented
145#1436C2211yescharacteristic, complemented
146#1436C2211yescharacteristic, complemented
147#1436C2211yescharacteristic, complemented
148#1436C2211yescharacteristic, complemented
149#1436C2211yescharacteristic, complemented
150#1436C2211yescharacteristic, complemented
151#1436C2211yescharacteristic, complemented
152#1436C2211yescharacteristic, complemented
153#1436C2211yescharacteristic, complemented
154#1436C2211yescharacteristic, complemented
155C4⋊#95C2211yescharacteristic, complemented
156C4⋊#95C2211yescharacteristic, complemented
157#1434C2211yescharacteristic, complemented
158#1434C2211yescharacteristic, complemented
159#1434C2211yescharacteristic, complemented
160#1434C2211yescharacteristic, complemented
161#1434C2211yescharacteristic, complemented
162#1434C2211yescharacteristic, complemented
163C22⋊#95C2211yescharacteristic
164C22⋊#95C2211yescharacteristic
165C22⋊#95C2211yescharacteristic
166C22⋊#95C2211yescharacteristic
167C22⋊#95C2211yescharacteristic
168C22⋊#95C2211yescharacteristic
169C22⋊#95C2211yescharacteristic
170C22⋊#95C2211yescharacteristic
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C4×#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C26C2311yescharacteristic
190C24×C4—24no—
191C24×C4—24no—
192C24×C4—24no—
193C24×C4—24no—
194C24×C4—24no—
195C24×C4—42no—
196C24×C4—42no—
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C2×#117—24no—
208C2×#117—24no—
209C2×#117—24no—
210C2×#117—24no—
211C2×#117—42no—
212C2×#117—42no—
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—24no—
230C22×C22⋊C4—24no—
231C22×C22⋊C4—24no—
232C22×C22⋊C4—42no—
233C22×C22⋊C4—42no—
234C22×C22⋊C4—42no—
235C22×C22⋊C4C2311yescharacteristic
236C22×C22⋊C4C2311yescharacteristic
237C22×C22⋊C4C2311yescharacteristic
238C22×C22⋊C4C2311yescharacteristic
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊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×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274C22×C42C2311yescharacteristic
275#401—24no—
276#400—24no—
277#400—24no—
278#400—24no—
279#397—24no—
280#397—42no—
281#396—24no—
282#396—42no—
283#388—24no—
284#388—24no—
285#388—42no—
286#388—42no—
287#387—24no—
288#387—24no—
289#387—24no—
290#385—24no—
291#385—24no—
292#385—42no—
293#385—42no—
294#383—24no—
295#381—24no—
296#381—24no—
297#381—24no—
298#381—24no—
299#381—42no—
300#381D418yes—
301#380—24no—
302#380—24no—
303#380—24no—
304#380—24no—
305#380—24no—
306#380—42no—
307#379—24no—
308#379—24no—
309#379—24no—
310#379—42no—
311C4×C22⋊C4—24no—
312C4×C22⋊C4—24no—
313C4×C22⋊C4—24no—
314C4×C22⋊C4—24no—
315C4×C22⋊C4—24no—
316C4×C22⋊C4—42no—
317C2×#95—24no—
318C2×#95—24no—
319C2×#95—24no—
320C2×#95—42no—
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
409C25—22no—
410C25—22no—
411C25—22no—
412C25—22no—
413C25—22no—
414C25—22no—
415C25—22no—
416C25—22no—
417C25—22no—
418C25—22no—
419C25—41no—
420C25—41no—
421C25—41no—
422C25—41no—
423C25#4114yes—
424C25C2411yescharacteristic
425C25C2411yescharacteristic
426C25C2411yescharacteristic
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—22no—
430C23×C4—22no—
431C23×C4—232no—
432C23×C4—22no—
433C23×C4—22no—
434C23×C4—22no—
435C23×C4—22no—
436C23×C4—22no—
437C23×C4—22no—
438C23×C4—22no—
439C23×C4—22no—
440C23×C4—22no—
441C23×C4—22no—
442C23×C4—22no—
443C23×C4—22no—
444C23×C4—22no—
445C23×C4—22no—
446C23×C4—22no—
447C23×C4—22no—
448C23×C4—22no—
449C23×C4—22no—
450C23×C4—22no—
451C23×C4—22no—
452C23×C4—22no—
453C23×C4—22no—
454C23×C4—22no—
455C23×C4—22no—
456C23×C4—22no—
457C23×C4—22no—
458C23×C4—22no—
459C23×C4—22no—
460C23×C4—22no—
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—41no—
475C23×C4—41no—
476C23×C4—41no—
477C23×C4—41no—
478C23×C4—41no—
479C23×C4—41no—
480C23×C4—41no—
481C23×C4—41no—
482C23×C4—416no—
483C23×C4—416no—
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—416no—
497C23×C4—416no—
498C23×C4—416no—
499C23×C4—416no—
500C23×C4C2×D414yes—
501C23×C4#4114yes—
502C23×C4#4114yes—
503C23×C4#4114yes—
504C23×C4C2411yescharacteristic
505C23×C4C2411yescharacteristic
506C23×C4C2411yescharacteristic
507C23×C4C2411yescharacteristic
508C23×C4C2411yescharacteristic
509C23×C4C2411yescharacteristic
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
532#117—416no—
533#117—416no—
534C2×C4⋊C4—22no—
535C2×C4⋊C4—22no—
536C2×C4⋊C4—22no—
537C2×C4⋊C4—22no—
538C2×C4⋊C4—22no—
539C2×C4⋊C4—22no—
540C2×C4⋊C4—22no—
541C2×C4⋊C4—22no—
542C2×C4⋊C4—22no—
543C2×C4⋊C4—22no—
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—41no—
555C2×C4⋊C4—41no—
556C2×C4⋊C4—41no—
557C2×C4⋊C4—41no—
558C2×C4⋊C4—41no—
559C2×C4⋊C4—41no—
560C2×C4⋊C4—41no—
561C2×C4⋊C4—41no—
562C2×C4⋊C4—41no—
563C2×C4⋊C4—41no—
564C2×C4⋊C4—41no—
565C2×C4⋊C4—41no—
566C2×C4⋊C4—41no—
567C2×C4⋊C4—41no—
568C2×C4⋊C4—41no—
569C2×C4⋊C4—41no—
570C2×C4⋊C4—41no—
571C2×C4⋊C4—41no—
572C2×C4⋊C4—41no—
573C2×C4⋊C4—41no—
574C2×C4⋊C4—41no—
575C2×C4⋊C4—41no—
576C2×C4⋊C4—41no—
577C2×C4⋊C4—41no—
578C2×C4⋊C4—41no—
579C2×C4⋊C4—41no—
580C2×C4⋊C4—41no—
581C2×C4⋊C4—41no—
582C2×C22⋊C4—22no—
583C2×C22⋊C4—22no—
584C2×C22⋊C4—22no—
585C2×C22⋊C4—22no—
586C2×C22⋊C4—22no—
587C2×C22⋊C4—22no—
588C2×C22⋊C4—22no—
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—22no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—22no—
597C2×C22⋊C4—22no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—22no—
600C2×C22⋊C4—22no—
601C2×C22⋊C4—22no—
602C2×C22⋊C4—22no—
603C2×C22⋊C4—22no—
604C2×C22⋊C4—22no—
605C2×C22⋊C4—22no—
606C2×C22⋊C4—22no—
607C2×C22⋊C4—22no—
608C2×C22⋊C4—22no—
609C2×C22⋊C4—22no—
610C2×C22⋊C4—22no—
611C2×C22⋊C4—22no—
612C2×C22⋊C4—22no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—22no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4—22no—
618C2×C22⋊C4—22no—
619C2×C22⋊C4—22no—
620C2×C22⋊C4—22no—
621C2×C22⋊C4—22no—
622C2×C22⋊C4—22no—
623C2×C22⋊C4—22no—
624C2×C22⋊C4—22no—
625C2×C22⋊C4—22no—
626C2×C22⋊C4—22no—
627C2×C22⋊C4—22no—
628C2×C22⋊C4—22no—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
633C2×C22⋊C4—22no—
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—416no—
647C2×C22⋊C4—41no—
648C2×C22⋊C4—41no—
649C2×C22⋊C4—41no—
650C2×C22⋊C4—41no—
651C2×C22⋊C4—41no—
652C2×C22⋊C4—41no—
653C2×C22⋊C4—41no—
654C2×C22⋊C4—41no—
655C2×C22⋊C4—41no—
656C2×C22⋊C4—41no—
657C2×C22⋊C4—41no—
658C2×C22⋊C4—41no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—416no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4—41no—
673C2×C22⋊C4—41no—
674C2×C22⋊C4—41no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4C2×D414yes—
677C2×C22⋊C4C2×D414yes—
678C2×C22⋊C4#4114yes—
679C2×C22⋊C4#4114yes—
680C2×C42—22no—
681C2×C42—22no—
682C2×C42—22no—
683C2×C42—22no—
684C2×C42—22no—
685C2×C42—22no—
686C2×C42—22no—
687C2×C42—22no—
688C2×C42—22no—
689C2×C42—22no—
690C2×C42—22no—
691C2×C42—22no—
692C2×C42—41no—
693C2×C42—41no—
694C2×C42—41no—
695C2×C42—41no—
696C2×C42—41no—
697C2×C42—41no—
698C2×C42—41no—
699C2×C42—41no—
700C2×C42—41no—
701C2×C42—41no—
702C2×C42—41no—
703C2×C42—41no—
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—22no—
725#95—22no—
726#95—22no—
727#95—22no—
728#95—22no—
729#95—22no—
730#95—22no—
731#95—22no—
732#95—22no—
733#95—22no—
734#95—22no—
735#95—22no—
736#95—22no—
737#95—22no—
738#95—22no—
739#95—22no—
740#95—22no—
741#95—22no—
742#95—22no—
743#95—22no—
744#95—22no—
745#95—22no—
746#95—22no—
747#95—22no—
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#95—41no—
775#95—41no—
776#95—41no—
777#95—41no—
778#95—41no—
779#95—41no—
780#95—41no—
781#95—41no—
782#95—41no—
783#95—41no—
784#95—41no—
785#95—41no—
786#95—41no—
787#95—41no—
788#95C2×D414yes—
789#95C2×D414yes—
790#95C2×D414yes—
791#95C2×D414yes—
792C24—21no—
793C24—21no—
794C24—21no—
795C24—21no—
796C24—21no—
797C24—21no—
798C24—21no—
799C24—21no—
800C24—28no—
801C24—28no—
802C24—28no—
803C24—28no—
804C24—28no—
805C24—28no—
806C24—28no—
807C24—21no—
808C24—21no—
809C24—21no—
810C24—21no—
811C24—21no—
812C24—21no—
813C24—21no—
814C24—21no—
815C24—21no—
816C24—21no—
817C24—21no—
818C24—21no—
819C24—21no—
820C24—21no—
821C24—21no—
822C24—21no—
823C24—21no—
824C24—21no—
825C24—21no—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—21no—
831C24—28no—
832C24—28no—
833C24—44no—
834C24—44no—
835C24—44no—
836C24—44no—
837C24—44no—
838C24—44no—
839C24—44no—
840C24—44no—
841C24—44no—
842C24—44no—
843C24—44no—
844C24—44no—
845C24—44no—
846C24—44no—
847C24—44no—
848C24—44no—
849C24—44no—
850C24—44no—
851C24—44no—
852C24—44no—
853C24—44no—
854C24—44no—
855C24—44no—
856C24—44no—
857C24—44no—
858C24—44no—
859C24C22×D412yes—
860C24C2×#4112yes—
861C24C2×#4112yes—
862C24C2×#4112yes—
863C24C2×#4112yes—
864C24C2×#4112yes—
865C24C2×#4112yes—
866C24C2×#4112yes—
867C24C2×#4112yes—
868C24H(5,𝔽2)12yes—
869C24H(5,𝔽2)12yes—
870C24H(5,𝔽2)12yes—
871C242−1+412yes—
872C24C2511yescharacteristic
873C22×C4—28no—
874C22×C4—28no—
875C22×C4—28no—
876C22×C4—28no—
877C22×C4—28no—
878C22×C4—28no—
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—28no—
888C22×C4—28no—
889C22×C4—28no—
890C22×C4—28no—
891C22×C4—28no—
892C22×C4—28no—
893C22×C4—28no—
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—21no—
967C22×C4—21no—
968C22×C4—21no—
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—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—4128no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—82no—
1112C22×C4—82no—
1113C22×C4—82no—
1114C22×C4—82no—
1115C22×C4—82no—
1116C22×C4—82no—
1117C22×C4—82no—
1118C22×C4—82no—
1119C22×C4—82no—
1120C22×C4—82no—
1121C22×C4—82no—
1122C22×C4—82no—
1123C22×C4#126116yes—
1124C22×C4C22×D412yes—
1125C22×C4C22×D412yes—
1126C22×C4C22×D412yes—
1127C22×C4C22×D412yes—
1128C22×C4C22×D412yes—
1129C22×C4C22×D412yes—
1130C22×C4C2×#4112yes—
1131C22×C4C2×#4112yes—
1132C22×C4C2×#4112yes—
1133C22×C4C2×#4112yes—
1134C22×C4C2×#4112yes—
1135C22×C4C2×#4112yes—
1136C22×C4C2×#4112yes—
1137C22×C4C2×#4112yes—
1138C22×C4C2×#4112yes—
1139C22×C4C2×#4112yes—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—82no—
1148C4⋊C4—82no—
1149C4⋊C4—82no—
1150C4⋊C4—82no—
1151C4⋊C4—82no—
1152C4⋊C4—82no—
1153C4⋊C4—82no—
1154C4⋊C4—82no—
1155C4⋊C4—82no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—82no—
1183C22⋊C4—82no—
1184C22⋊C4—82no—
1185C22⋊C4—82no—
1186C22⋊C4—82no—
1187C22⋊C4—82no—
1188C42—44no—
1189C42—44no—
1190C42—44no—
1191C42—44no—
1192C42—44no—
1193C42—82no—
1194C42—82no—
1195C42—82no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—232no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—416no—
1262C23—416no—
1263C23—416no—
1264C23—416no—
1265C23—416no—
1266C23—416no—
1267C23—416no—
1268C23—416no—
1269C23—416no—
1270C23—416no—
1271C23—416no—
1272C23—416no—
1273C23—416no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—416no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23#52514yes—
1308C23C2×#12614yes—
1309C23#53814yes—
1310C23#54614yes—
1311C23#54614yes—
1312C23#55114yes—
1313C23#55114yes—
1314C23#55114yes—
1315C23#55214yes—
1316C23C23×D411yescharacteristic
1317C23C22×#4111yescharacteristic
1318C23C22×#4111yescharacteristic
1319C23C22×#4111yescharacteristic
1320C23C22×#4111yescharacteristic
1321C23C22×#4111yescharacteristic
1322C23C22×#4111yescharacteristic
1323C23C2×H(5,𝔽2)11yescharacteristic
1324C23C2×H(5,𝔽2)11yescharacteristic
1325C23C2×H(5,𝔽2)11yescharacteristic
1326C23C2×2−1+411yescharacteristic
1327C23#58511yescharacteristic
1328C23#58511yescharacteristic
1329C23#58511yescharacteristic
1330C23#58511yescharacteristic
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—232no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—416no—
1375C2×C4—416no—
1376C2×C4—416no—
1377C2×C4—416no—
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—416no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4—88no—
1534C2×C4—88no—
1535C2×C4C2×#12614yes—
1536C2×C4C2×#12614yes—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—24no—
1545C22—24no—
1546C22—24no—
1547C22—24no—
1548C22—24no—
1549C22—24no—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—24no—
1554C22—24no—
1555C22—24no—
1556C22—24no—
1557C22—464no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22#248018yes—
1583C22C2×#52511yescharacteristic
1584C22C22×#12611yescharacteristic
1585C22#344411yescharacteristic
1586C22C2×#53811yescharacteristic
1587C22#345511yescharacteristic
1588C22C2×#54611yescharacteristic
1589C22C2×#54611yescharacteristic
1590C22D4×#4111yescharacteristic
1591C22D4×#4111yescharacteristic
1592C22C2×#55111yescharacteristic
1593C22C2×#55111yescharacteristic
1594C22C2×#55111yescharacteristic
1595C22C2×#55211yescharacteristic
1596C22#347511yescharacteristic
1597C22#347511yescharacteristic
1598C22#347511yescharacteristic
1599C22#347511yescharacteristic
1600C22#348811yescharacteristic
1601C22#348911yescharacteristic
1602C22#349011yescharacteristic
1603C22#349111yescharacteristic
1604C22#349111yescharacteristic
1605C22#349211yescharacteristic
1606C22#349211yescharacteristic
1607C22#349311yescharacteristic
1608C22#349411yescharacteristic
1609C22#349411yescharacteristic
1610C22#349511yescharacteristic
1611C22#349511yescharacteristic
1612C22#351311yescharacteristic
1613C22#351311yescharacteristic
1614C22#353311yescharacteristic
1615C22#353311yescharacteristic
1616C22#353411yescharacteristic
1617C22#353511yescharacteristic
1618C4—24no—
1619C4—24no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—81no—
1631C4—81no—
1632C4—81no—
1633C4—81no—
1634C4—81no—
1635C4—81no—
1636C4—81no—
1637C4—81no—
1638C4—81no—
1639C4—81no—
1640C4—81no—
1641C4—81no—
1642C4—81no—
1643C4—81no—
1644C4—81no—
1645C4—81no—
1646C2—28no—
1647C2—44no—
1648C2—44no—
1649C2C2×#248011yescharacteristic
1650C2#3481411yescharacteristic
1651C2#3554411yescharacteristic
1652C2#3613811yescharacteristic
1653C2#3620611yescharacteristic
1654C2#3622211yescharacteristic
1655C2#3622311yescharacteristic
1656C2#3766611yescharacteristic
1657C2#3785511yescharacteristic
1658C2#3839611yescharacteristic
1659C2#3839711yescharacteristic
1660C2#5900711yescharacteristic
1661C2#5900811yescharacteristic
1662C2#5919511yescharacteristic
1663C2#5919611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2493C2semidirect
3. #15995C2semidirect
4. #15994C2semidirect
5. #15492C2semidirect
6. #15491C2semidirect
7. #15490C2semidirect
8. #15489C2semidirect
9. #15433C2semidirect
10. #15393C2semidirect
11. #15019C2semidirect
12. #14919C2semidirect
13. #14835C2semidirect
14. #14834C2semidirect
15. #14833C2semidirect
16. #14832C2semidirect
20. #14218C2semidirect
21. #14209C2semidirect
22. #14128C2semidirect
23. #14038C2semidirect
25. #13990C2semidirect
26. #13972C2semidirect
27. #13962C2semidirect
28. #13878C2semidirect
30. #13799C2semidirect
38. C2×#401C22semidirect
39. C2×#400C22semidirect
40. C2×#400C22semidirect
41. C2×#400C22semidirect
50. C2×#387C22semidirect
51. C2×#387C22semidirect
52. C2×#387C22semidirect
57. C2×#383C22semidirect
85. #1445C22semidirect
86. #1445C22semidirect
87. #1445C22semidirect
88. #1445C22semidirect
89. #1444C22semidirect
90. #1444C22semidirect
91. #1444C22semidirect
92. #1444C22semidirect
93. #1443C22semidirect
94. #1443C22semidirect
95. #1443C22semidirect
96. #1443C22semidirect
97. #1443C22semidirect
98. #1443C22semidirect
99. #1443C22semidirect
100. #1443C22semidirect
101. #1443C22semidirect
102. #1443C22semidirect
103. #1442C22semidirect
104. #1442C22semidirect
105. #1442C22semidirect
106. #1442C22semidirect
107. #1442C22semidirect
108. #1442C22semidirect
109. #1442C22semidirect
110. #1442C22semidirect
111. #1442C22semidirect
112. #1442C22semidirect
113. #1441C22semidirect
114. #1441C22semidirect
115. #1441C22semidirect
116. #1441C22semidirect
141. #1436C22semidirect
142. #1436C22semidirect
143. #1436C22semidirect
144. #1436C22semidirect
145. #1436C22semidirect
146. #1436C22semidirect
147. #1436C22semidirect
148. #1436C22semidirect
149. #1436C22semidirect
150. #1436C22semidirect
151. #1436C22semidirect
152. #1436C22semidirect
153. #1436C22semidirect
154. #1436C22semidirect
155. C4⋊#95C22semidirect
156. C4⋊#95C22semidirect
157. #1434C22semidirect
158. #1434C22semidirect
159. #1434C22semidirect
160. #1434C22semidirect
161. #1434C22semidirect
162. #1434C22semidirect
187. C4×#95C22semidirect
188. C4×#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24932
C2×#22802
#159952
#159942
#154922
#154912
#154902
#154892
#154332
#153932
#150192
#149192
#148352
#148342
#148332
#148322
#147272
#147262
#146812
#142182
#142092
#141282
#140382
#139912
#139902
#139722
#139622
#138782
#138732
#137992
C2×C22⋊#952