Finite Group Databasebeta

← #4632832

Subgroups — #4632832

Order 512.

2298 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#17303C211yesmaximal, characteristic, complemented
2#17274C211yesmaximal, characteristic, complemented
3#17260C211yesmaximal, characteristic, complemented
4#17167C211yesmaximal, characteristic, complemented
5#16845C211yesmaximal, characteristic, complemented
6#16832C211yesmaximal, characteristic, complemented
7#16831C211yesmaximal, characteristic, complemented
8#16735C211yesmaximal, characteristic, complemented
9#16697C211yesmaximal, characteristic, complemented
10#16667C211yesmaximal, characteristic, complemented
11#16666C211yesmaximal, characteristic, complemented
12#16637C211yesmaximal, characteristic, complemented
13#16614C211yesmaximal, characteristic, complemented
14#16414C211yesmaximal, characteristic, complemented
15#16364C211yesmaximal, characteristic, complemented
16#16339C211yesmaximal, characteristic, complemented
17#16021C211yesmaximal, characteristic, complemented
18#15957C211yesmaximal, characteristic, complemented
19#15957C211yesmaximal, characteristic, complemented
20#15796C211yesmaximal, characteristic, complemented
21#15560C211yesmaximal, characteristic, complemented
22#15393C211yesmaximal, characteristic, complemented
23#15297C211yesmaximal, characteristic
24#15282C211yesmaximal, characteristic
25#14918C211yesmaximal, characteristic
26#14918C211yesmaximal, characteristic
27#14820C211yesmaximal, characteristic
28#14717C211yesmaximal, characteristic
29#14660C211yesmaximal, characteristic, complemented
30#14368C211yesmaximal, characteristic, complemented
31#13877C211yesmaximal, characteristic
32C22×C22⋊Q8C2211yescharacteristic
33C23×C22⋊C4C2211yescharacteristic
34C23×C22⋊C4C2211yescharacteristic
35C2×#400C2211yescharacteristic, complemented
36C2×#400C2211yescharacteristic, complemented
37C2×#397C2211yescharacteristic
38C2×#397C2211yescharacteristic
39C2×#397C2211yescharacteristic
40C2×#397C2211yescharacteristic
41C2×#396C2211yescharacteristic
42C2×#393C2211yescharacteristic
43C2×#393C2211yescharacteristic
44C2×#388C2211yescharacteristic
45C2×#388C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#387C2211yescharacteristic, complemented
48C2×#387C2211yescharacteristic, complemented
49C2×#385C2211yescharacteristic
50C2×#385C2211yescharacteristic
51C2×#385C2211yescharacteristic
52C2×#385C2211yescharacteristic
53C2×#381C2211yescharacteristic
54C2×#381C2211yescharacteristic
55C2×#381C2211yescharacteristic
56C2×#381C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×#379C2211yescharacteristic
61C2×#379C2211yescharacteristic
62C2×#379C2211yescharacteristic
63C2×#379C2211yescharacteristic
64C2×#379C2211yescharacteristic
65#1446C2211yescharacteristic, complemented
66#1446C2211yescharacteristic, complemented
67#1446C2211yescharacteristic, complemented
68#1446C2211yescharacteristic, complemented
69#1445C2211yescharacteristic, complemented
70#1445C2211yescharacteristic, complemented
71#1445C2211yescharacteristic, complemented
72#1445C2211yescharacteristic, complemented
73#1445C2211yescharacteristic, complemented
74#1445C2211yescharacteristic, complemented
75#1445C2211yescharacteristic, complemented
76#1445C2211yescharacteristic, complemented
77#1444C2211yescharacteristic, complemented
78#1444C2211yescharacteristic, complemented
79#1444C2211yescharacteristic, complemented
80#1444C2211yescharacteristic, complemented
81#1443C2211yescharacteristic, complemented
82#1443C2211yescharacteristic, complemented
83#1443C2211yescharacteristic, complemented
84#1443C2211yescharacteristic, complemented
85#1443C2211yescharacteristic, complemented
86#1443C2211yescharacteristic, complemented
87#1443C2211yescharacteristic, complemented
88#1443C2211yescharacteristic, complemented
89#1443C2211yescharacteristic, complemented
90#1443C2211yescharacteristic, complemented
91#1442C2211yescharacteristic, complemented
92#1442C2211yescharacteristic, complemented
93#1442C2211yescharacteristic, complemented
94#1442C2211yescharacteristic, complemented
95#1442C2211yescharacteristic, complemented
96#1442C2211yescharacteristic, complemented
97#1442C2211yescharacteristic, complemented
98#1442C2211yescharacteristic, complemented
99#1442C2211yescharacteristic, complemented
100#1442C2211yescharacteristic, complemented
101#1442C2211yescharacteristic, complemented
102#1442C2211yescharacteristic, complemented
103#1442C2211yescharacteristic, complemented
104#1441C2211yescharacteristic, complemented
105#1441C2211yescharacteristic, complemented
106#1441C2211yescharacteristic, complemented
107#1441C2211yescharacteristic, complemented
108#1441C2211yescharacteristic, complemented
109#1441C2211yescharacteristic, complemented
110#1441C2211yescharacteristic, complemented
111#1441C2211yescharacteristic, complemented
112#1441C2211yescharacteristic, complemented
113#1441C2211yescharacteristic, complemented
114#1441C2211yescharacteristic, complemented
115#1441C2211yescharacteristic, complemented
116#1441C2211yescharacteristic, complemented
117#1441C2211yescharacteristic, complemented
118#1441C2211yescharacteristic, complemented
119#1440C2211yescharacteristic
120#1440C2211yescharacteristic
121#1440C2211yescharacteristic
122#1440C2211yescharacteristic
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic
131#1440C2211yescharacteristic
132#1440C2211yescharacteristic
133#1440C2211yescharacteristic
134#1440C2211yescharacteristic
135#1440C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic
156#1439C2211yescharacteristic
157#1439C2211yescharacteristic
158#1439C2211yescharacteristic
159#1439C2211yescharacteristic
160#1439C2211yescharacteristic
161#1439C2211yescharacteristic
162#1439C2211yescharacteristic
163#1439C2211yescharacteristic
164#1439C2211yescharacteristic
165#1439C2211yescharacteristic
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1436C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1434C2211yescharacteristic, complemented
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C26C2311yescharacteristic
188C23×Q8C2311yescharacteristic
189C24×C4C2311yescharacteristic
190C24×C4C2311yescharacteristic
191C24×C4C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C2×C22⋊Q8—24no—
194C2×C22⋊Q8—42no—
195C2×C22⋊Q8—42no—
196C22×C4⋊C4C2311yescharacteristic
197C22×C4⋊C4C2311yescharacteristic
198C22×C4⋊C4C2311yescharacteristic
199C22×C4⋊C4C2311yescharacteristic
200C22×C4⋊C4C2311yescharacteristic
201C22×C4⋊C4C2311yescharacteristic
202C22×C4⋊C4C2311yescharacteristic
203C22×C4⋊C4C2311yescharacteristic
204C22×C4⋊C4C2311yescharacteristic
205C22×C4⋊C4C2311yescharacteristic
206C22×C4⋊C4C2311yescharacteristic
207C22×C4⋊C4C2311yescharacteristic
208C22×C4⋊C4C2311yescharacteristic
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C22⋊C4—24no—
216C22×C22⋊C4—42no—
217C22×C22⋊C4—42no—
218C22×C22⋊C4—42no—
219C22×C22⋊C4—42no—
220C22×C22⋊C4—42no—
221C22×C22⋊C4C2311yescharacteristic
222C22×C22⋊C4C2311yescharacteristic
223C22×C22⋊C4C2311yescharacteristic
224C22×C22⋊C4C2311yescharacteristic
225C22×C22⋊C4C2311yescharacteristic
226C22×C22⋊C4C2311yescharacteristic
227C22×C22⋊C4C2311yescharacteristic
228C22×C22⋊C4C2311yescharacteristic
229C22×C22⋊C4C2311yescharacteristic
230C22×C22⋊C4C2311yescharacteristic
231C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
260C22×C42C2311yescharacteristic
261#400—42no—
262#400—42no—
263#397—42no—
264#397—42no—
265#397—42no—
266#397—42no—
267#396—42no—
268#393—42no—
269#393—42no—
270#388—42no—
271#388—42no—
272#388—42no—
273#387—42no—
274#387—42no—
275#385—42no—
276#385—42no—
277#385—42no—
278#385—42no—
279#381—24no—
280#381—42no—
281#381—42no—
282#381—42no—
283#380—42no—
284#380—42no—
285#380—42no—
286#379—42no—
287#379—42no—
288#379—42no—
289#379—42no—
290#379—42no—
291C2×#95C2311yescharacteristic
292C2×#95C2311yescharacteristic
293C2×#95C2311yescharacteristic
294C2×#95C2311yescharacteristic
295C2×#95C2311yescharacteristic
296C2×#95C2311yescharacteristic
297C2×#95C2311yescharacteristic
298C2×#95C2311yescharacteristic
299C2×#95C2311yescharacteristic
300C2×#95C2311yescharacteristic
301C2×#95C2311yescharacteristic
302C2×#95C2311yescharacteristic
303C2×#95C2311yescharacteristic
304C2×#95C2311yescharacteristic
305C2×#95C2311yescharacteristic
306C2×#95C2311yescharacteristic
307C2×#95C2311yescharacteristic
308C2×#95C2311yescharacteristic
309C2×#95C2311yescharacteristic
310C2×#95C2311yescharacteristic
311C2×#95C2311yescharacteristic
312C2×#95C2311yescharacteristic
313C2×#95C2311yescharacteristic
314C2×#95C2311yescharacteristic
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
381C25—22no—
382C25—22no—
383C25—22no—
384C25—22no—
385C25—22no—
386C25—22no—
387C25—22no—
388C25—41no—
389C25—41no—
390C25—41no—
391C25—41no—
392C25—41no—
393C25—41no—
394C25—41no—
395C25—41no—
396C25C2411yescharacteristic
397C25C2411yescharacteristic
398C25C2411yescharacteristic
399C22×Q8—22no—
400C22×Q8—41no—
401C22×Q8—41no—
402C22×Q8—41no—
403C22×Q8—41no—
404C22×Q8—41no—
405C22×Q8—41no—
406C23×C4—22no—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—22no—
410C23×C4—22no—
411C23×C4—22no—
412C23×C4—22no—
413C23×C4—22no—
414C23×C4—22no—
415C23×C4—41no—
416C23×C4—41no—
417C23×C4—41no—
418C23×C4—41no—
419C23×C4—41no—
420C23×C4—41no—
421C23×C4—41no—
422C23×C4—41no—
423C23×C4—41no—
424C23×C4—41no—
425C23×C4—41no—
426C23×C4—41no—
427C23×C4—41no—
428C23×C4—41no—
429C23×C4—41no—
430C23×C4—41no—
431C23×C4—41no—
432C23×C4—41no—
433C23×C4#4114yes—
434C23×C4C2411yescharacteristic
435C23×C4C2411yescharacteristic
436C23×C4C2411yescharacteristic
437C23×C4C2411yescharacteristic
438C23×C4C2411yescharacteristic
439C23×C4C2411yescharacteristic
440C23×C4C2411yescharacteristic
441C23×C4C2411yescharacteristic
442C23×C4C2411yescharacteristic
443C23×C4C2411yescharacteristic
444C23×C4C2411yescharacteristic
445C23×C4C2411yescharacteristic
446C23×C4C2411yescharacteristic
447C23×C4C2411yescharacteristic
448C23×C4C2411yescharacteristic
449C23×C4C2411yescharacteristic
450C23×C4C2411yescharacteristic
451C23×C4C2411yescharacteristic
452C23×C4C2411yescharacteristic
453C23×C4C2411yescharacteristic
454C23×C4C2411yescharacteristic
455C23×C4C2411yescharacteristic
456C23×C4C2411yescharacteristic
457C23×C4C2411yescharacteristic
458C23×C4C2411yescharacteristic
459C23×C4C2411yescharacteristic
460C23×C4C2411yescharacteristic
461C23×C4C2411yescharacteristic
462C22⋊Q8—416no—
463C2×C4⋊C4—22no—
464C2×C4⋊C4—22no—
465C2×C4⋊C4—22no—
466C2×C4⋊C4—22no—
467C2×C4⋊C4—22no—
468C2×C4⋊C4—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—41no—
472C2×C4⋊C4—41no—
473C2×C4⋊C4—41no—
474C2×C4⋊C4—41no—
475C2×C4⋊C4—41no—
476C2×C4⋊C4—41no—
477C2×C4⋊C4—41no—
478C2×C4⋊C4—41no—
479C2×C4⋊C4—41no—
480C2×C4⋊C4—41no—
481C2×C4⋊C4—41no—
482C2×C4⋊C4—41no—
483C2×C4⋊C4—41no—
484C2×C4⋊C4—41no—
485C2×C4⋊C4—41no—
486C2×C4⋊C4—41no—
487C2×C4⋊C4—41no—
488C2×C4⋊C4—41no—
489C2×C4⋊C4—41no—
490C2×C4⋊C4—41no—
491C2×C4⋊C4—41no—
492C2×C4⋊C4—41no—
493C2×C4⋊C4—41no—
494C2×C4⋊C4—41no—
495C2×C4⋊C4—41no—
496C2×C4⋊C4—41no—
497C2×C4⋊C4—41no—
498C2×C4⋊C4—41no—
499C2×C4⋊C4—41no—
500C2×C4⋊C4—41no—
501C2×C4⋊C4—41no—
502C2×C4⋊C4—41no—
503C2×C4⋊C4—41no—
504C2×C4⋊C4—41no—
505C2×C4⋊C4—41no—
506C2×C4⋊C4—41no—
507C2×C4⋊C4—41no—
508C2×C4⋊C4—41no—
509C2×C4⋊C4—41no—
510C2×C4⋊C4—41no—
511C2×C4⋊C4—41no—
512C2×C4⋊C4—41no—
513C2×C4⋊C4—41no—
514C2×C4⋊C4—41no—
515C2×C4⋊C4—41no—
516C2×C4⋊C4—41no—
517C2×C4⋊C4—41no—
518C2×C4⋊C4—41no—
519C2×C4⋊C4—41no—
520C2×C22⋊C4—22no—
521C2×C22⋊C4—22no—
522C2×C22⋊C4—22no—
523C2×C22⋊C4—22no—
524C2×C22⋊C4—22no—
525C2×C22⋊C4—22no—
526C2×C22⋊C4—22no—
527C2×C22⋊C4—22no—
528C2×C22⋊C4—22no—
529C2×C22⋊C4—22no—
530C2×C22⋊C4—22no—
531C2×C22⋊C4—22no—
532C2×C22⋊C4—22no—
533C2×C22⋊C4—22no—
534C2×C22⋊C4—22no—
535C2×C22⋊C4—22no—
536C2×C22⋊C4—22no—
537C2×C22⋊C4—22no—
538C2×C22⋊C4—22no—
539C2×C22⋊C4—22no—
540C2×C22⋊C4—22no—
541C2×C22⋊C4—22no—
542C2×C22⋊C4—22no—
543C2×C22⋊C4—22no—
544C2×C22⋊C4—22no—
545C2×C22⋊C4—22no—
546C2×C22⋊C4—22no—
547C2×C22⋊C4—22no—
548C2×C22⋊C4—22no—
549C2×C22⋊C4—22no—
550C2×C22⋊C4—22no—
551C2×C22⋊C4—22no—
552C2×C22⋊C4—22no—
553C2×C22⋊C4—22no—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—22no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—22no—
560C2×C22⋊C4—22no—
561C2×C22⋊C4—22no—
562C2×C22⋊C4—22no—
563C2×C22⋊C4—22no—
564C2×C22⋊C4—22no—
565C2×C22⋊C4—22no—
566C2×C22⋊C4—416no—
567C2×C22⋊C4—41no—
568C2×C22⋊C4—41no—
569C2×C22⋊C4—41no—
570C2×C22⋊C4—41no—
571C2×C22⋊C4—41no—
572C2×C22⋊C4—41no—
573C2×C22⋊C4—41no—
574C2×C22⋊C4—41no—
575C2×C22⋊C4—41no—
576C2×C22⋊C4—41no—
577C2×C22⋊C4—41no—
578C2×C22⋊C4—41no—
579C2×C22⋊C4—41no—
580C2×C22⋊C4—41no—
581C2×C22⋊C4—41no—
582C2×C22⋊C4—41no—
583C2×C22⋊C4—416no—
584C2×C22⋊C4—41no—
585C2×C22⋊C4—41no—
586C2×C22⋊C4—41no—
587C2×C22⋊C4—41no—
588C2×C22⋊C4—41no—
589C2×C22⋊C4—41no—
590C2×C22⋊C4—41no—
591C2×C22⋊C4—41no—
592C2×C22⋊C4—41no—
593C2×C22⋊C4—41no—
594C2×C22⋊C4—41no—
595C2×C22⋊C4—41no—
596C2×C22⋊C4—41no—
597C2×C22⋊C4—41no—
598C2×C22⋊C4—41no—
599C2×C22⋊C4—41no—
600C2×C22⋊C4—41no—
601C2×C22⋊C4—41no—
602C2×C22⋊C4—41no—
603C2×C22⋊C4—41no—
604C2×C22⋊C4—41no—
605C2×C22⋊C4—41no—
606C2×C22⋊C4—41no—
607C2×C22⋊C4—41no—
608C2×C22⋊C4—41no—
609C2×C22⋊C4—41no—
610C2×C22⋊C4—41no—
611C2×C22⋊C4—41no—
612C2×C22⋊C4—41no—
613C2×C22⋊C4—41no—
614C2×C22⋊C4—41no—
615C2×C22⋊C4—41no—
616C2×C22⋊C4—41no—
617C2×C22⋊C4—41no—
618C2×C22⋊C4—41no—
619C2×C22⋊C4—41no—
620C2×C22⋊C4—41no—
621C2×C22⋊C4—41no—
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×C42—41no—
637C2×C42—41no—
638C2×C42—41no—
639C2×C42—41no—
640C2×C42—41no—
641C2×C42—41no—
642#95—22no—
643#95—22no—
644#95—22no—
645#95—22no—
646#95—22no—
647#95—22no—
648#95—22no—
649#95—22no—
650#95—22no—
651#95—22no—
652#95—22no—
653#95—41no—
654#95—41no—
655#95—41no—
656#95—41no—
657#95—41no—
658#95—41no—
659#95—41no—
660#95—41no—
661#95—41no—
662#95—41no—
663#95—41no—
664#95—41no—
665#95—41no—
666#95—41no—
667#95—41no—
668#95—41no—
669#95—41no—
670#95—41no—
671#95—41no—
672#95—41no—
673#95—41no—
674#95—41no—
675#95—41no—
676#95—41no—
677#95—41no—
678#95—41no—
679#95—41no—
680#95—41no—
681#95—41no—
682#95—41no—
683#95—41no—
684#95—41no—
685#95—41no—
686#95—41no—
687#95—41no—
688#95—41no—
689#95—41no—
690#95—41no—
691#95—41no—
692#95—41no—
693#95—41no—
694#95—41no—
695#95—41no—
696#95—41no—
697#95—41no—
698#95—41no—
699#95—41no—
700#95—41no—
701#95—41no—
702#95—41no—
703#95—41no—
704#95—41no—
705#95—41no—
706#95—41no—
707#95—41no—
708#95—41no—
709#95—41no—
710#95—41no—
711#95—41no—
712#95—41no—
713#95—41no—
714#95—41no—
715#95—41no—
716#95—41no—
717#95—41no—
718#95—41no—
719#95—41no—
720#95—41no—
721#95—41no—
722#95—41no—
723#95—41no—
724#95—41no—
725#95—41no—
726#95—41no—
727#95—41no—
728#95—41no—
729#95—41no—
730#95—41no—
731#95—41no—
732C24—21no—
733C24—21no—
734C24—21no—
735C24—21no—
736C24—21no—
737C24—21no—
738C24—21no—
739C24—21no—
740C24—21no—
741C24—21no—
742C24—21no—
743C24—21no—
744C24—21no—
745C24—21no—
746C24—21no—
747C24—21no—
748C24—21no—
749C24—21no—
750C24—21no—
751C24—21no—
752C24—21no—
753C24—21no—
754C24—21no—
755C24—21no—
756C24—28no—
757C24—21no—
758C24—21no—
759C24—21no—
760C24—21no—
761C24—21no—
762C24—21no—
763C24—21no—
764C24—21no—
765C24—21no—
766C24—21no—
767C24—21no—
768C24—21no—
769C24—21no—
770C24—21no—
771C24—44no—
772C24—44no—
773C24—44no—
774C24—44no—
775C24—44no—
776C24—44no—
777C24—44no—
778C24—44no—
779C24—44no—
780C24—44no—
781C24—44no—
782C24—44no—
783C24—44no—
784C24—44no—
785C24—44no—
786C24—44no—
787C24—82no—
788C24—82no—
789C24—82no—
790C24—82no—
791C24—82no—
792C24—82no—
793C24—82no—
794C24—82no—
795C24—82no—
796C24—82no—
797C24—82no—
798C24—82no—
799C24—82no—
800C24—82no—
801C24—82no—
802C24—82no—
803C24—82no—
804C24—82no—
805C24C2×#4112yes—
806C24H(5,𝔽2)12yes—
807C24H(5,𝔽2)12yes—
808C24H(5,𝔽2)12yes—
809C24H(5,𝔽2)12yes—
810C242−1+412yes—
811C242−1+412yes—
812C24C2511yescharacteristic
813C2×Q8—44no—
814C2×Q8—82no—
815C2×Q8—82no—
816C2×Q8—82no—
817C2×Q8—82no—
818C2×Q8—82no—
819C2×Q8—82no—
820C22×C4—21no—
821C22×C4—21no—
822C22×C4—21no—
823C22×C4—21no—
824C22×C4—21no—
825C22×C4—21no—
826C22×C4—21no—
827C22×C4—21no—
828C22×C4—21no—
829C22×C4—21no—
830C22×C4—21no—
831C22×C4—21no—
832C22×C4—21no—
833C22×C4—21no—
834C22×C4—21no—
835C22×C4—21no—
836C22×C4—21no—
837C22×C4—21no—
838C22×C4—21no—
839C22×C4—21no—
840C22×C4—21no—
841C22×C4—21no—
842C22×C4—21no—
843C22×C4—21no—
844C22×C4—28no—
845C22×C4—21no—
846C22×C4—21no—
847C22×C4—21no—
848C22×C4—21no—
849C22×C4—21no—
850C22×C4—21no—
851C22×C4—21no—
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—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—44no—
1014C22×C4—44no—
1015C22×C4—44no—
1016C22×C4—44no—
1017C22×C4—44no—
1018C22×C4—44no—
1019C22×C4—44no—
1020C22×C4—44no—
1021C22×C4—44no—
1022C22×C4—82no—
1023C22×C4—82no—
1024C22×C4—82no—
1025C22×C4—82no—
1026C22×C4—82no—
1027C22×C4—82no—
1028C22×C4—82no—
1029C22×C4—82no—
1030C22×C4—82no—
1031C22×C4—82no—
1032C22×C4—82no—
1033C22×C4—82no—
1034C22×C4—82no—
1035C22×C4—82no—
1036C22×C4—82no—
1037C22×C4—82no—
1038C22×C4—82no—
1039C22×C4—82no—
1040C22×C4C2×#4112yes—
1041C22×C4C2×#4112yes—
1042C22×C4H(5,𝔽2)12yes—
1043C22×C4H(5,𝔽2)12yes—
1044C4⋊C4—44no—
1045C4⋊C4—44no—
1046C4⋊C4—44no—
1047C4⋊C4—44no—
1048C4⋊C4—44no—
1049C4⋊C4—82no—
1050C4⋊C4—82no—
1051C4⋊C4—82no—
1052C4⋊C4—82no—
1053C4⋊C4—82no—
1054C4⋊C4—82no—
1055C4⋊C4—82no—
1056C4⋊C4—82no—
1057C4⋊C4—82no—
1058C4⋊C4—82no—
1059C4⋊C4—82no—
1060C4⋊C4—82no—
1061C4⋊C4—82no—
1062C4⋊C4—82no—
1063C22⋊C4—28no—
1064C22⋊C4—44no—
1065C22⋊C4—44no—
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—82no—
1079C22⋊C4—82no—
1080C22⋊C4—82no—
1081C22⋊C4—82no—
1082C22⋊C4—82no—
1083C22⋊C4—82no—
1084C22⋊C4—82no—
1085C22⋊C4—82no—
1086C22⋊C4—82no—
1087C22⋊C4—82no—
1088C22⋊C4—82no—
1089C22⋊C4—82no—
1090C22⋊C4—82no—
1091C22⋊C4—82no—
1092C22⋊C4—82no—
1093C22⋊C4—82no—
1094C22⋊C4—82no—
1095C22⋊C4—82no—
1096C22⋊C4—82no—
1097C22⋊C4—82no—
1098C22⋊C4—82no—
1099C22⋊C4—82no—
1100C22⋊C4—82no—
1101C42—82no—
1102C42—82no—
1103C23—22no—
1104C23—22no—
1105C23—22no—
1106C23—22no—
1107C23—22no—
1108C23—22no—
1109C23—22no—
1110C23—22no—
1111C23—22no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—416no—
1147C23—416no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—88no—
1209C23—88no—
1210C23—88no—
1211C23—88no—
1212C23—88no—
1213C23—88no—
1214C23—88no—
1215C23—88no—
1216C23—88no—
1217C23—88no—
1218C23—88no—
1219C23—88no—
1220C23—88no—
1221C23#53814yes—
1222C23#56214yes—
1223C23C22×#4111yescharacteristic
1224C23C2×H(5,𝔽2)11yescharacteristic
1225C23C2×H(5,𝔽2)11yescharacteristic
1226C23C2×H(5,𝔽2)11yescharacteristic
1227C23C2×H(5,𝔽2)11yescharacteristic
1228C23C2×H(5,𝔽2)11yescharacteristic
1229C23C2×H(5,𝔽2)11yescharacteristic
1230C23C2×2−1+411yescharacteristic
1231C23C2×2−1+411yescharacteristic
1232C23#58511yescharacteristic
1233C23#58511yescharacteristic
1234C23#58511yescharacteristic
1235C23#58511yescharacteristic
1236C23#58511yescharacteristic
1237C23#58511yescharacteristic
1238Q8—88no—
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—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
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—41no—
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—88no—
1436C2×C4—88no—
1437C2×C4—88no—
1438C2×C4—88no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—832no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22C2×#53811yescharacteristic
1486C22#349011yescharacteristic
1487C22#349111yescharacteristic
1488C22#349211yescharacteristic
1489C22#349511yescharacteristic
1490C22#350611yescharacteristic
1491C22#351011yescharacteristic
1492C22C2×#56211yescharacteristic
1493C22#353211yescharacteristic
1494C22#353311yescharacteristic
1495C22#353311yescharacteristic
1496C22#353311yescharacteristic
1497C22#353411yescharacteristic
1498C22#353411yescharacteristic
1499C22#353411yescharacteristic
1500C22#353411yescharacteristic
1501C22#353511yescharacteristic
1502C22#353511yescharacteristic
1503C22#353511yescharacteristic
1504C22#353511yescharacteristic
1505C22#353611yescharacteristic
1506C22#353811yescharacteristic
1507C22#354211yescharacteristic
1508C22#354211yescharacteristic
1509C22#354211yescharacteristic
1510C22#354511yescharacteristic
1511C22#354511yescharacteristic
1512C22#355811yescharacteristic
1513C22#356011yescharacteristic
1514C22#356011yescharacteristic
1515C22#356111yescharacteristic
1516C22#356411yescharacteristic
1517C22#356411yescharacteristic
1518C22#356411yescharacteristic
1519C22#356811yescharacteristic
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4—81no—
1543C4—81no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4—81no—
1548C2—44no—
1549C2—44no—
1550C2—82no—
1551C2#3679111yescharacteristic
1552C2#4064111yescharacteristic
1553C2#4231811yescharacteristic
1554C2#4546411yescharacteristic
1555C2#4800911yescharacteristic
1556C2#4879411yescharacteristic
1557C2#5155311yescharacteristic
1558C2#5234611yescharacteristic
1559C2#5251011yescharacteristic
1560C2#5541711yescharacteristic
1561C2#5632311yescharacteristic
1562C2#5655011yescharacteristic
1563C2#5740411yescharacteristic
1564C2#5751511yescharacteristic
1565C2#5836011yescharacteristic
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. #17303C2semidirect
2. #17274C2semidirect
3. #17260C2semidirect
4. #17167C2semidirect
5. #16845C2semidirect
6. #16832C2semidirect
7. #16831C2semidirect
8. #16735C2semidirect
9. #16697C2semidirect
10. #16667C2semidirect
11. #16666C2semidirect
12. #16637C2semidirect
13. #16614C2semidirect
14. #16414C2semidirect
15. #16364C2semidirect
16. #16339C2semidirect
17. #16021C2semidirect
18. #15957C2semidirect
19. #15957C2semidirect
20. #15796C2semidirect
21. #15560C2semidirect
22. #15393C2semidirect
29. #14660C2semidirect
30. #14368C2semidirect
35. C2×#400C22semidirect
36. C2×#400C22semidirect
47. C2×#387C22semidirect
48. C2×#387C22semidirect
65. #1446C22semidirect
66. #1446C22semidirect
67. #1446C22semidirect
68. #1446C22semidirect
69. #1445C22semidirect
70. #1445C22semidirect
71. #1445C22semidirect
72. #1445C22semidirect
73. #1445C22semidirect
74. #1445C22semidirect
75. #1445C22semidirect
76. #1445C22semidirect
77. #1444C22semidirect
78. #1444C22semidirect
79. #1444C22semidirect
80. #1444C22semidirect
81. #1443C22semidirect
82. #1443C22semidirect
83. #1443C22semidirect
84. #1443C22semidirect
85. #1443C22semidirect
86. #1443C22semidirect
87. #1443C22semidirect
88. #1443C22semidirect
89. #1443C22semidirect
90. #1443C22semidirect
91. #1442C22semidirect
92. #1442C22semidirect
93. #1442C22semidirect
94. #1442C22semidirect
95. #1442C22semidirect
96. #1442C22semidirect
97. #1442C22semidirect
98. #1442C22semidirect
99. #1442C22semidirect
100. #1442C22semidirect
101. #1442C22semidirect
102. #1442C22semidirect
103. #1442C22semidirect
104. #1441C22semidirect
105. #1441C22semidirect
106. #1441C22semidirect
107. #1441C22semidirect
108. #1441C22semidirect
109. #1441C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
112. #1441C22semidirect
113. #1441C22semidirect
114. #1441C22semidirect
115. #1441C22semidirect
116. #1441C22semidirect
117. #1441C22semidirect
118. #1441C22semidirect
169. #1436C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1434C22semidirect

Maximal subgroups

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

subgroupindex
#173032
#172742
#172602
#171672
#168452
#168322
#168312
#167352
#166972
#166672
#166662
#166372
#166142
#164142
#163642
#163392
#160212
#159572
#157962
#155602
#153932
#152972
#152822
#149182
#148202
#147172
#146602
#143682
#138772