Finite Group Databasebeta

← #527016

Subgroups — #527016

Order 512.

3722 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2561C211yesmaximal, characteristic
2#14693C211yesmaximal, characteristic
3#14596C211yesmaximal, characteristic, complemented
4#14576C211yesmaximal, characteristic, complemented
5#14553C211yesmaximal, characteristic, complemented
6#14542C211yesmaximal, characteristic, complemented
7#14509C211yesmaximal, characteristic, complemented
8#14488C211yesmaximal, characteristic, complemented
9#14484C211yesmaximal, characteristic, complemented
10#14389C211yesmaximal, characteristic, complemented
11#14319C211yesmaximal, characteristic, complemented
12#14304C211yesmaximal, characteristic, complemented
13#14220C211yesmaximal, characteristic, complemented
14#14197C211yesmaximal, characteristic, complemented
15#14128C211yesmaximal, characteristic, complemented
16#14118C211yesmaximal, characteristic, complemented
17#14052C211yesmaximal, characteristic, complemented
18#14052C211yesmaximal, characteristic, complemented
19#13992C211yesmaximal, characteristic, complemented
20#13991C211yesmaximal, characteristic
21#13990C211yesmaximal, characteristic, complemented
22#13972C211yesmaximal, characteristic, complemented
23#13971C211yesmaximal, characteristic
24#13901C211yesmaximal, characteristic, complemented
25#13868C211yesmaximal, characteristic
26#13814C211yesmaximal, characteristic, complemented
27#13799C211yesmaximal, characteristic, complemented
28#13789C211yesmaximal, characteristic, complemented
29#13788C211yesmaximal, characteristic, complemented
30C4×#379C211yesmaximal, characteristic
31C2×C22⋊#95C211yesmaximal, characteristic
32C25×C4C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×#117C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37#2561C4116yescomplemented
38C2×#397C2211yescharacteristic
39C2×#397C2211yescharacteristic
40C2×#393C2211yescharacteristic
41C2×#393C2211yescharacteristic
42C2×#391C2211yescharacteristic, complemented
43C2×#391C2211yescharacteristic, complemented
44C2×#388C2211yescharacteristic
45C2×#388C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#388C2211yescharacteristic
50C2×#388C2211yescharacteristic
51C2×#388C2211yescharacteristic
52C2×#385C2211yescharacteristic
53C2×#385C2211yescharacteristic
54C2×#385C2211yescharacteristic
55C2×#385C2211yescharacteristic
56C2×#385C2211yescharacteristic
57C2×#385C2211yescharacteristic
58C2×#385C2211yescharacteristic
59C2×#385C2211yescharacteristic
60C2×#383C2211yescharacteristic, complemented
61C2×#381C2211yescharacteristic
62C2×#381C2211yescharacteristic
63C2×#381C2211yescharacteristic
64C2×#379C2211yescharacteristic
65C2×#379C2211yescharacteristic
66C2×#379C2211yescharacteristic
67C2×#379C2211yescharacteristic
68C2×C4×C4⋊C4C2211yescharacteristic, complemented
69C2×C4×C22⋊C4C2211yescharacteristic
70C2×C4×C22⋊C4C2211yescharacteristic
71C2×C4×C22⋊C4C2211yescharacteristic
72C2×C4×C22⋊C4C2211yescharacteristic
73C2×C4×C22⋊C4C2211yescharacteristic
74C2×C4×C22⋊C4C2211yescharacteristic
75C2×C4×C22⋊C4C2211yescharacteristic
76C2×C4×C22⋊C4C2211yescharacteristic
77C2×C4×C22⋊C4C2211yescharacteristic
78C22×#95C2211yescharacteristic
79C22×#95C2211yescharacteristic
80C22×#95C2211yescharacteristic
81C22×#95C2211yescharacteristic
82#1446C2211yescharacteristic, complemented
83#1446C2211yescharacteristic, complemented
84#1445C2211yescharacteristic, complemented
85#1445C2211yescharacteristic, complemented
86#1444C2211yescharacteristic, complemented
87#1444C2211yescharacteristic, complemented
88#1443C2211yescharacteristic, complemented
89#1443C2211yescharacteristic, complemented
90#1443C2211yescharacteristic, complemented
91#1443C2211yescharacteristic, complemented
92#1443C2211yescharacteristic, complemented
93#1443C2211yescharacteristic, complemented
94#1443C2211yescharacteristic, complemented
95#1443C2211yescharacteristic, complemented
96#1442C2211yescharacteristic, complemented
97#1442C2211yescharacteristic, complemented
98#1442C2211yescharacteristic, complemented
99#1442C2211yescharacteristic, complemented
100#1442C2211yescharacteristic, complemented
101#1442C2211yescharacteristic, complemented
102#1441C2211yescharacteristic, complemented
103#1441C2211yescharacteristic, complemented
104#1441C2211yescharacteristic, complemented
105#1441C2211yescharacteristic, complemented
106#1440C2211yescharacteristic
107#1440C2211yescharacteristic
108#1440C2211yescharacteristic
109#1440C2211yescharacteristic
110#1439C2211yescharacteristic
111#1439C2211yescharacteristic
112#1439C2211yescharacteristic
113#1439C2211yescharacteristic
114#1439C2211yescharacteristic
115#1439C2211yescharacteristic
116#1439C2211yescharacteristic
117#1439C2211yescharacteristic
118#1437C2211yescharacteristic
119#1437C2211yescharacteristic
120#1437C2211yescharacteristic
121#1437C2211yescharacteristic
122#1437C2211yescharacteristic
123#1437C2211yescharacteristic
124#1437C2211yescharacteristic
125#1437C2211yescharacteristic
126#1436C2211yescharacteristic, complemented
127#1436C2211yescharacteristic, complemented
128#1436C2211yescharacteristic, complemented
129#1436C2211yescharacteristic, complemented
130#1436C2211yescharacteristic, complemented
131#1436C2211yescharacteristic, complemented
132#1436C2211yescharacteristic, complemented
133#1436C2211yescharacteristic, complemented
134#1436C2211yescharacteristic, complemented
135#1436C2211yescharacteristic, complemented
136#1436C2211yescharacteristic, complemented
137#1436C2211yescharacteristic, complemented
138#1436C2211yescharacteristic, complemented
139#1436C2211yescharacteristic, complemented
140#1436C2211yescharacteristic, complemented
141#1436C2211yescharacteristic, complemented
142#1436C2211yescharacteristic, complemented
143#1436C2211yescharacteristic, complemented
144#1436C2211yescharacteristic, complemented
145#1436C2211yescharacteristic, complemented
146C4⋊#95C2211yescharacteristic, complemented
147C4⋊#95C2211yescharacteristic, complemented
148C4⋊#95C2211yescharacteristic, complemented
149#1434C2211yescharacteristic, complemented
150#1434C2211yescharacteristic, complemented
151#1434C2211yescharacteristic, complemented
152#1434C2211yescharacteristic, complemented
153#1434C2211yescharacteristic, complemented
154#1434C2211yescharacteristic, complemented
155#1434C2211yescharacteristic, complemented
156#1434C2211yescharacteristic, complemented
157#1434C2211yescharacteristic, complemented
158#1434C2211yescharacteristic, complemented
159C22⋊#95C2211yescharacteristic
160C22⋊#95C2211yescharacteristic
161C22⋊#95C2211yescharacteristic
162C22⋊#95C2211yescharacteristic
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
185C4×#95C2211yescharacteristic, complemented
186C4×#95C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C26C2311yescharacteristic
189C23×Q8C2311yescharacteristic
190C24×C4—24no—
191C24×C4—24no—
192C24×C4—42no—
193C24×C4—42no—
194C24×C4—42no—
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×C22⋊Q8—42no—
208C2×C22⋊Q8—42no—
209C2×C22⋊Q8C2×C418yescomplemented
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×C22⋊C4—24no—
227C22×C22⋊C4—42no—
228C22×C22⋊C4—42no—
229C22×C22⋊C4—42no—
230C22×C22⋊C4—42no—
231C22×C22⋊C4C2×C418yes—
232C22×C22⋊C4C2311yescharacteristic
233C22×C22⋊C4C2311yescharacteristic
234C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274C22×C42C2311yescharacteristic
275C22×C42C2311yescharacteristic
276#397C2×C418yescomplemented
277#397C2×C418yescomplemented
278#393C2×C418yescomplemented
279#393C2×C418yescomplemented
280#391—42no—
281#391—42no—
282#388—24no—
283#388—24no—
284#388—42no—
285#388—42no—
286#388C2×C418yescomplemented
287#388C2×C418yescomplemented
288#388C2×C418yescomplemented
289#388C2×C418yescomplemented
290#385—24no—
291#385—24no—
292#385—24no—
293#385—42no—
294#385—42no—
295#385—42no—
296#385—42no—
297#385—42no—
298#383—42no—
299#381—42no—
300#381C2×C418yescomplemented
301#381C2×C418yescomplemented
302#379—24no—
303#379—42no—
304#379C2×C418yes—
305#379C2×C418yes—
306C4×C4⋊C4—42no—
307C4×C22⋊C4—24no—
308C4×C22⋊C4—42no—
309C4×C22⋊C4—42no—
310C4×C22⋊C4—42no—
311C4×C22⋊C4—42no—
312C4×C22⋊C4—42no—
313C4×C22⋊C4—42no—
314C4×C22⋊C4—42no—
315C4×C22⋊C4C2×C418yescomplemented
316C2×#95—24no—
317C2×#95—42no—
318C2×#95—42no—
319C2×#95—42no—
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
406C25—22no—
407C25—22no—
408C25—22no—
409C25—22no—
410C25—22no—
411C25—22no—
412C25—22no—
413C25—22no—
414C25—22no—
415C25—22no—
416C25—41no—
417C25—41no—
418C25—41no—
419C25—41no—
420C25C22×C414yes—
421C25C2411yescharacteristic
422C25C2411yescharacteristic
423C25C2411yescharacteristic
424C22×Q8—41no—
425C22×Q8—41no—
426C22×Q8—41no—
427C22×Q8—41no—
428C22×Q8—41no—
429C22×Q8—41no—
430C22×Q8C22×C414yescomplemented
431C23×C4—22no—
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—41no—
470C23×C4—41no—
471C23×C4—41no—
472C23×C4—41no—
473C23×C4—41no—
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—41no—
483C23×C4—41no—
484C23×C4—41no—
485C23×C4—41no—
486C23×C4—41no—
487C23×C4—416no—
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—416no—
499C23×C4—416no—
500C23×C4—416no—
501C23×C4—416no—
502C23×C4—416no—
503C23×C4—416no—
504C23×C4C22×C414yes—
505C23×C4C22×C414yes—
506C23×C4#4114yes—
507C23×C4#4114yes—
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
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536C22⋊Q8—416no—
537#117—416no—
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—41no—
551C2×C4⋊C4—41no—
552C2×C4⋊C4—41no—
553C2×C4⋊C4—41no—
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⋊C4C22×C414yescomplemented
575C2×C4⋊C4C22×C414yescomplemented
576C2×C4⋊C4C22×C414yescomplemented
577C2×C22⋊C4—22no—
578C2×C22⋊C4—22no—
579C2×C22⋊C4—22no—
580C2×C22⋊C4—22no—
581C2×C22⋊C4—22no—
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—416no—
622C2×C22⋊C4—41no—
623C2×C22⋊C4—41no—
624C2×C22⋊C4—41no—
625C2×C22⋊C4—41no—
626C2×C22⋊C4—41no—
627C2×C22⋊C4—41no—
628C2×C22⋊C4—41no—
629C2×C22⋊C4—41no—
630C2×C22⋊C4—41no—
631C2×C22⋊C4—41no—
632C2×C22⋊C4—41no—
633C2×C22⋊C4—41no—
634C2×C22⋊C4—41no—
635C2×C22⋊C4—41no—
636C2×C22⋊C4—41no—
637C2×C22⋊C4—41no—
638C2×C22⋊C4—41no—
639C2×C22⋊C4—41no—
640C2×C22⋊C4—41no—
641C2×C22⋊C4—41no—
642C2×C22⋊C4—41no—
643C2×C22⋊C4—41no—
644C2×C22⋊C4—41no—
645C2×C22⋊C4—41no—
646C2×C22⋊C4—41no—
647C2×C22⋊C4—41no—
648C2×C22⋊C4—416no—
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⋊C4C22×C414yes—
658C2×C22⋊C4C22×C414yes—
659C2×C22⋊C4C22×C414yes—
660C2×C22⋊C4C22×C414yes—
661C2×C22⋊C4C22×C414yes—
662C2×C22⋊C4C22×C414yes—
663C2×C22⋊C4C22×C414yes—
664C2×C22⋊C4C22×C414yes—
665C2×C22⋊C4C22×C414yes—
666C2×C22⋊C4C22×C414yes—
667C2×C22⋊C4C22×C414yes—
668C2×C22⋊C4C22×C414yes—
669C2×C22⋊C4C22×C414yes—
670C2×C22⋊C4C22×C414yes—
671C2×C22⋊C4C22×C414yes—
672C2×C22⋊C4C22×C414yes—
673C2×C22⋊C4#4114yes—
674C2×C22⋊C4#4114yes—
675C2×C42—22no—
676C2×C42—22no—
677C2×C42—22no—
678C2×C42—22no—
679C2×C42—22no—
680C2×C42—22no—
681C2×C42—22no—
682C2×C42—22no—
683C2×C42—41no—
684C2×C42—41no—
685C2×C42—41no—
686C2×C42—41no—
687C2×C42—41no—
688C2×C42—41no—
689C2×C42—41no—
690C2×C42—41no—
691C2×C42—41no—
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—
704C2×C42—41no—
705C2×C42—41no—
706C2×C42—41no—
707C2×C42—41no—
708C2×C42—41no—
709C2×C42C22×C414yescomplemented
710C2×C42C22×C414yescomplemented
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—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#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#95C22×C414yescomplemented
788#95C22×C414yescomplemented
789#95C22×C414yescomplemented
790#95C22×C414yescomplemented
791#95C22×C414yescomplemented
792#95C22×C414yescomplemented
793#95C22×C414yescomplemented
794#95C22×C414yescomplemented
795#95C22×C414yescomplemented
796#95C22×C414yescomplemented
797C24—21no—
798C24—21no—
799C24—21no—
800C24—21no—
801C24—21no—
802C24—21no—
803C24—21no—
804C24—21no—
805C24—28no—
806C24—28no—
807C24—28no—
808C24—28no—
809C24—28no—
810C24—28no—
811C24—28no—
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—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—28no—
837C24—28no—
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—
859C24—44no—
860C24—44no—
861C24—44no—
862C24—44no—
863C24—44no—
864C24C23×C412yes—
865C24C23×C412yes—
866C24C23×C412yes—
867C24C2×#4112yes—
868C24C2×#4112yes—
869C24C2×#4112yes—
870C24C2×#4112yes—
871C24H(5,𝔽2)12yes—
872C24H(5,𝔽2)12yes—
873C24H(5,𝔽2)12yes—
874C24H(5,𝔽2)12yes—
875C242−1+412yes—
876C242−1+412yes—
877C24C2511yescharacteristic
878C2×Q8—44no—
879C2×Q8—44no—
880C2×Q8—44no—
881C2×Q8—82no—
882C2×Q8—82no—
883C2×Q8—82no—
884C2×Q8—82no—
885C22×C4—21no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—28no—
890C22×C4—28no—
891C22×C4—28no—
892C22×C4—28no—
893C22×C4—28no—
894C22×C4—28no—
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—28no—
1010C22×C4—28no—
1011C22×C4—28no—
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—21no—
1067C22×C4—21no—
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—44no—
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—4128no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—82no—
1121C22×C4—82no—
1122C22×C4—82no—
1123C22×C4—82no—
1124C22×C4—82no—
1125C22×C4—82no—
1126C22×C4—82no—
1127C22×C4—82no—
1128C22×C4—82no—
1129C22×C4—82no—
1130C22×C4C23×C412yes—
1131C22×C4C23×C412yes—
1132C22×C4C23×C412yes—
1133C22×C4C23×C412yes—
1134C22×C4C23×C412yes—
1135C22×C4C23×C412yes—
1136C22×C4C23×C412yes—
1137C22×C4C23×C412yes—
1138C22×C4C23×C412yes—
1139C22×C4C23×C412yes—
1140C22×C4C23×C412yes—
1141C22×C4C23×C412yes—
1142C22×C4C2×#4112yes—
1143C22×C4C2×#4112yes—
1144C22×C4C2×#4112yes—
1145C22×C4C2×#4112yes—
1146C22×C4C2×#4112yes—
1147C22×C4C2×#4112yes—
1148C22×C4C2×#4112yes—
1149C22×C4C2×#4112yes—
1150C22×C4H(5,𝔽2)12yes—
1151C22×C4H(5,𝔽2)12yes—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—82no—
1160C4⋊C4—82no—
1161C4⋊C4—82no—
1162C4⋊C4—82no—
1163C4⋊C4—82no—
1164C4⋊C4—82no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
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—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—82no—
1194C22⋊C4—82no—
1195C22⋊C4—82no—
1196C22⋊C4—82no—
1197C42—44no—
1198C42—44no—
1199C42—44no—
1200C42—44no—
1201C42—82no—
1202C42—82no—
1203C42—82no—
1204C42—82no—
1205C42—82no—
1206C42—82no—
1207C42—82no—
1208C42—82no—
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—22no—
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—232no—
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—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—416no—
1275C23—416no—
1276C23—416no—
1277C23—416no—
1278C23—416no—
1279C23—416no—
1280C23—416no—
1281C23—416no—
1282C23—416no—
1283C23—416no—
1284C23—416no—
1285C23—416no—
1286C23—416no—
1287C23—416no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23C4×#4114yes—
1321C23C4×#4114yes—
1322C23#51814yes—
1323C23#52014yes—
1324C23#52014yes—
1325C23#53814yes—
1326C23#53814yes—
1327C23#54214yes—
1328C23#54214yes—
1329C23C24×C411yescharacteristic
1330C23C22×#4111yescharacteristic
1331C23C22×#4111yescharacteristic
1332C23C22×#4111yescharacteristic
1333C23C22×#4111yescharacteristic
1334C23C2×H(5,𝔽2)11yescharacteristic
1335C23C2×H(5,𝔽2)11yescharacteristic
1336C23C2×H(5,𝔽2)11yescharacteristic
1337C23C2×H(5,𝔽2)11yescharacteristic
1338C23C2×H(5,𝔽2)11yescharacteristic
1339C23C2×H(5,𝔽2)11yescharacteristic
1340C23C2×2−1+411yescharacteristic
1341C23C2×2−1+411yescharacteristic
1342C23#58511yescharacteristic
1343C23#58511yescharacteristic
1344Q8—88no—
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—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—416no—
1409C2×C4—416no—
1410C2×C4—416no—
1411C2×C4—416no—
1412C2×C4—416no—
1413C2×C4—416no—
1414C2×C4—416no—
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—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4#55114yes—
1551C22—24no—
1552C22—24no—
1553C22—24no—
1554C22—24no—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—24no—
1559C22—24no—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—24no—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—464no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22#233718yes—
1597C22C2×C4×#4111yescharacteristic
1598C22C2×C4×#4111yescharacteristic
1599C22C2×#51811yescharacteristic
1600C22C2×#52011yescharacteristic
1601C22C2×#52011yescharacteristic
1602C22C4×H(5,𝔽2)11yescharacteristic
1603C22C4×H(5,𝔽2)11yescharacteristic
1604C22C2×#53811yescharacteristic
1605C22C2×#53811yescharacteristic
1606C22C2×#54211yescharacteristic
1607C22C2×#54211yescharacteristic
1608C22C2×#55111yescharacteristic
1609C22#347511yescharacteristic
1610C22#347511yescharacteristic
1611C22#348111yescharacteristic
1612C22#349011yescharacteristic
1613C22#349011yescharacteristic
1614C22#349011yescharacteristic
1615C22#349011yescharacteristic
1616C22#349211yescharacteristic
1617C22#349211yescharacteristic
1618C22#349511yescharacteristic
1619C22#349511yescharacteristic
1620C22#351311yescharacteristic
1621C22#351311yescharacteristic
1622C22#352011yescharacteristic
1623C22#352011yescharacteristic
1624C22#353211yescharacteristic
1625C22#353211yescharacteristic
1626C22#353311yescharacteristic
1627C22#353511yescharacteristic
1628C22#353511yescharacteristic
1629C22#353811yescharacteristic
1630C22#354211yescharacteristic
1631C22#354211yescharacteristic
1632C4—24no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—81no—
1653C4—81no—
1654C4—81no—
1655C4—81no—
1656C4—81no—
1657C4—81no—
1658C4—81no—
1659C4—81no—
1660C2—28no—
1661C2—44no—
1662C2—44no—
1663C2C2×#233711yescharacteristic
1664C2C4×#55111yescharacteristic
1665C2#3421811yescharacteristic
1666C2#3429611yescharacteristic
1667C2#3429611yescharacteristic
1668C2#3440711yescharacteristic
1669C2#3445711yescharacteristic
1670C2#3784811yescharacteristic
1671C2#3785311yescharacteristic
1672C2#3790211yescharacteristic
1673C2#3790911yescharacteristic
1674C2#3839011yescharacteristic
1675C2#3839911yescharacteristic
1676C2#3850011yescharacteristic
1677C2#3851111yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #14596C2semidirect
4. #14576C2semidirect
5. #14553C2semidirect
6. #14542C2semidirect
7. #14509C2semidirect
8. #14488C2semidirect
9. #14484C2semidirect
10. #14389C2semidirect
11. #14319C2semidirect
12. #14304C2semidirect
13. #14220C2semidirect
14. #14197C2semidirect
15. #14128C2semidirect
16. #14118C2semidirect
17. #14052C2semidirect
18. #14052C2semidirect
19. #13992C2semidirect
21. #13990C2semidirect
22. #13972C2semidirect
24. #13901C2semidirect
26. #13814C2semidirect
27. #13799C2semidirect
28. #13789C2semidirect
29. #13788C2semidirect
37. #2561C4semidirect
42. C2×#391C22semidirect
43. C2×#391C22semidirect
60. C2×#383C22semidirect
68. C2×C4×C4⋊C4C22semidirect
82. #1446C22semidirect
83. #1446C22semidirect
84. #1445C22semidirect
85. #1445C22semidirect
86. #1444C22semidirect
87. #1444C22semidirect
88. #1443C22semidirect
89. #1443C22semidirect
90. #1443C22semidirect
91. #1443C22semidirect
92. #1443C22semidirect
93. #1443C22semidirect
94. #1443C22semidirect
95. #1443C22semidirect
96. #1442C22semidirect
97. #1442C22semidirect
98. #1442C22semidirect
99. #1442C22semidirect
100. #1442C22semidirect
101. #1442C22semidirect
102. #1441C22semidirect
103. #1441C22semidirect
104. #1441C22semidirect
105. #1441C22semidirect
126. #1436C22semidirect
127. #1436C22semidirect
128. #1436C22semidirect
129. #1436C22semidirect
130. #1436C22semidirect
131. #1436C22semidirect
132. #1436C22semidirect
133. #1436C22semidirect
134. #1436C22semidirect
135. #1436C22semidirect
136. #1436C22semidirect
137. #1436C22semidirect
138. #1436C22semidirect
139. #1436C22semidirect
140. #1436C22semidirect
141. #1436C22semidirect
142. #1436C22semidirect
143. #1436C22semidirect
144. #1436C22semidirect
145. #1436C22semidirect
146. C4⋊#95C22semidirect
147. C4⋊#95C22semidirect
148. C4⋊#95C22semidirect
149. #1434C22semidirect
150. #1434C22semidirect
151. #1434C22semidirect
152. #1434C22semidirect
153. #1434C22semidirect
154. #1434C22semidirect
155. #1434C22semidirect
156. #1434C22semidirect
157. #1434C22semidirect
158. #1434C22semidirect
185. C4×#95C22semidirect
186. C4×#95C22semidirect
187. C4×#95C22semidirect
209. C2×C22⋊Q8C2×C4semidirect
276. #397C2×C4semidirect
277. #397C2×C4semidirect
278. #393C2×C4semidirect
279. #393C2×C4semidirect
286. #388C2×C4semidirect
287. #388C2×C4semidirect
288. #388C2×C4semidirect
289. #388C2×C4semidirect
300. #381C2×C4semidirect
301. #381C2×C4semidirect
315. C4×C22⋊C4C2×C4semidirect
430. C22×Q8C22×C4semidirect
574. C2×C4⋊C4C22×C4semidirect
575. C2×C4⋊C4C22×C4semidirect
576. C2×C4⋊C4C22×C4semidirect
709. C2×C42C22×C4semidirect
710. C2×C42C22×C4semidirect
787. #95C22×C4semidirect
788. #95C22×C4semidirect
789. #95C22×C4semidirect
790. #95C22×C4semidirect
791. #95C22×C4semidirect
792. #95C22×C4semidirect
793. #95C22×C4semidirect
794. #95C22×C4semidirect
795. #95C22×C4semidirect
796. #95C22×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#25612
#146932
#145962
#145762
#145532
#145422
#145092
#144882
#144842
#143892
#143192
#143042
#142202
#141972
#141282
#141182
#140522
#139922
#139912
#139902
#139722
#139712
#139012
#138682
#138142
#137992
#137892
#137882
C4×#3792
C2×C22⋊#952