Finite Group Databasebeta

← #1751685

Subgroups — #1751685

Order 512.

2360 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#17238C211yesmaximal, characteristic, complemented
2#17167C211yesmaximal, characteristic, complemented
3#17020C211yesmaximal, characteristic, complemented
4#16913C211yesmaximal, characteristic, complemented
5#16885C211yesmaximal, characteristic, complemented
6#16816C211yesmaximal, characteristic, complemented
7#16738C211yesmaximal, characteristic, complemented
8#16731C211yesmaximal, characteristic, complemented
9#16583C211yesmaximal, characteristic, complemented
10#16580C211yesmaximal, characteristic, complemented
11#16391C211yesmaximal, characteristic, complemented
12#16219C211yesmaximal, characteristic, complemented
13#15608C211yesmaximal, characteristic, complemented
14#15602C211yesmaximal, characteristic, complemented
15#15451C211yesmaximal, characteristic, complemented
16#15343C211yesmaximal, characteristic, complemented
17#15303C211yesmaximal, characteristic, complemented
18#15297C211yesmaximal, characteristic, complemented
19#15282C211yesmaximal, characteristic, complemented
20#15266C211yesmaximal, characteristic
21#15266C211yesmaximal, characteristic
22#14946C211yesmaximal, characteristic, complemented
23#14859C211yesmaximal, characteristic, complemented
24#14739C211yesmaximal, characteristic, complemented
25#14737C211yesmaximal, characteristic, complemented
26#14573C211yesmaximal, characteristic, complemented
27#14366C211yesmaximal, characteristic, complemented
28#14357C211yesmaximal, characteristic
29#14268C211yesmaximal, characteristic, complemented
30#14195C211yesmaximal, characteristic, complemented
31#13999C211yesmaximal, characteristic, complemented
32C22×#120C2211yescharacteristic
33C2×#400C2211yescharacteristic, complemented
34C2×#397C2211yescharacteristic
35C2×#397C2211yescharacteristic
36C2×#397C2211yescharacteristic
37C2×#396C2211yescharacteristic
38C2×#394C2211yescharacteristic
39C2×#394C2211yescharacteristic
40C2×#394C2211yescharacteristic
41C2×#394C2211yescharacteristic
42C2×#390C2211yescharacteristic
43C2×#388C2211yescharacteristic
44C2×#388C2211yescharacteristic
45C2×#388C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic, complemented
49C2×#387C2211yescharacteristic, complemented
50C2×#386C2211yescharacteristic
51C2×#386C2211yescharacteristic
52C2×#386C2211yescharacteristic
53C2×#386C2211yescharacteristic
54C2×#386C2211yescharacteristic
55C2×#386C2211yescharacteristic
56C2×#386C2211yescharacteristic
57C2×#386C2211yescharacteristic
58C2×#386C2211yescharacteristic
59C2×#385C2211yescharacteristic, complemented
60C2×#385C2211yescharacteristic, complemented
61C2×#385C2211yescharacteristic, complemented
62C2×#380C2211yescharacteristic, complemented
63C2×#379C2211yescharacteristic
64C2×#379C2211yescharacteristic
65C2×#379C2211yescharacteristic
66C2×#379C2211yescharacteristic
67C2×#379C2211yescharacteristic
68C2×#379C2211yescharacteristic
69C2×C4×C4⋊C4C2211yescharacteristic, complemented
70C2×C4×C22⋊C4C2211yescharacteristic, complemented
71C22×#95C2211yescharacteristic, complemented
72#1445C2211yescharacteristic, complemented
73#1445C2211yescharacteristic, complemented
74#1445C2211yescharacteristic, complemented
75#1445C2211yescharacteristic, complemented
76#1445C2211yescharacteristic, complemented
77#1445C2211yescharacteristic, complemented
78#1445C2211yescharacteristic, complemented
79#1444C2211yescharacteristic, complemented
80#1444C2211yescharacteristic, complemented
81#1444C2211yescharacteristic, 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#1442C2211yescharacteristic, 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#1441C2211yescharacteristic, complemented
101#1441C2211yescharacteristic, complemented
102#1441C2211yescharacteristic, complemented
103#1441C2211yescharacteristic, complemented
104#1441C2211yescharacteristic, complemented
105#1440C2211yescharacteristic
106#1440C2211yescharacteristic
107#1440C2211yescharacteristic
108#1440C2211yescharacteristic
109#1440C2211yescharacteristic
110#1440C2211yescharacteristic
111#1440C2211yescharacteristic
112#1440C2211yescharacteristic
113#1440C2211yescharacteristic
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1440C2211yescharacteristic
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic
119#1440C2211yescharacteristic
120#1440C2211yescharacteristic
121#1440C2211yescharacteristic
122#1440C2211yescharacteristic
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic, complemented
125#1440C2211yescharacteristic, complemented
126#1440C2211yescharacteristic, complemented
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
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, complemented
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1437C2211yescharacteristic
162#1437C2211yescharacteristic
163#1437C2211yescharacteristic
164#1437C2211yescharacteristic
165#1437C2211yescharacteristic
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177C4⋊#95C2211yescharacteristic, complemented
178#1434C2211yescharacteristic, complemented
179#1434C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C26C2311yescharacteristic
188C23×D4C2311yescharacteristic
189C23×D4C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C24×C4C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C2×#120—24no—
195C2×#120—42no—
196C2×#120—42no—
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×C22⋊C4C2311yescharacteristic
213C22×C22⋊C4C2311yescharacteristic
214C22×C22⋊C4C2311yescharacteristic
215C22×C22⋊C4C2311yescharacteristic
216C22×C22⋊C4C2311yescharacteristic
217C22×C22⋊C4C2311yescharacteristic
218C22×C22⋊C4C2311yescharacteristic
219C22×C22⋊C4C2311yescharacteristic
220C22×C22⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
260C22×C42C2311yescharacteristic
261C22×C42C2311yescharacteristic
262C22×C42C2311yescharacteristic
263C22×C42C2311yescharacteristic
264C22×C42C2311yescharacteristic
265#400—42no—
266#397—42no—
267#397—42no—
268#397—42no—
269#396—42no—
270#394—24no—
271#394—24no—
272#394—42no—
273#394—42no—
274#390—42no—
275#388—24no—
276#388—42no—
277#388—42no—
278#388—42no—
279#388—42no—
280#388—42no—
281#387—42no—
282#386—24no—
283#386—42no—
284#386—42no—
285#386—42no—
286#386—42no—
287#386—42no—
288#386—42no—
289#386—42no—
290#386—42no—
291#385—42no—
292#385—42no—
293#385—42no—
294#380—42no—
295#379—24no—
296#379—42no—
297#379—42no—
298#379—42no—
299#379—42no—
300#379—42no—
301C4×C4⋊C4—42no—
302C4×C22⋊C4—42no—
303C2×#95—42no—
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
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C25—22no—
385C25—22no—
386C25—22no—
387C25—41no—
388C25—41no—
389C25—41no—
390C25—41no—
391C25—41no—
392C25—41no—
393C25—41no—
394C25—41no—
395C25—41no—
396C25—41no—
397C25—41no—
398C25—41no—
399C25C2411yescharacteristic
400C25C2411yescharacteristic
401C25C2411yescharacteristic
402C25C2411yescharacteristic
403C22×D4—22no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4—22no—
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—41no—
414C22×D4—41no—
415C22×D4—41no—
416C22×D4—41no—
417C22×D4—41no—
418C22×D4—41no—
419C22×D4—41no—
420C22×D4—41no—
421C22×D4—41no—
422C22×D4—41no—
423C22×D4#4114yes—
424C23×C4—22no—
425C23×C4—22no—
426C23×C4—22no—
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—41no—
430C23×C4—41no—
431C23×C4—41no—
432C23×C4—41no—
433C23×C4—41no—
434C23×C4—41no—
435C23×C4—41no—
436C23×C4—41no—
437C23×C4—41no—
438C23×C4—41no—
439C23×C4—41no—
440C23×C4—41no—
441C23×C4—41no—
442C23×C4—41no—
443C23×C4—41no—
444C23×C4—41no—
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
462C23×C4C2411yescharacteristic
463C23×C4C2411yescharacteristic
464C23×C4C2411yescharacteristic
465C23×C4C2411yescharacteristic
466C23×C4C2411yescharacteristic
467C23×C4C2411yescharacteristic
468C23×C4C2411yescharacteristic
469C23×C4C2411yescharacteristic
470C23×C4C2411yescharacteristic
471C23×C4C2411yescharacteristic
472#120—416no—
473C2×C4⋊C4—22no—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—22no—
476C2×C4⋊C4—22no—
477C2×C4⋊C4—22no—
478C2×C4⋊C4—22no—
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×C22⋊C4—22no—
519C2×C22⋊C4—22no—
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—41no—
566C2×C22⋊C4—41no—
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—41no—
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×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—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#4114yes—
662C2×C42—22no—
663C2×C42—22no—
664C2×C42—22no—
665C2×C42—41no—
666C2×C42—41no—
667C2×C42—41no—
668C2×C42—41no—
669C2×C42—41no—
670C2×C42—41no—
671C2×C42—41no—
672C2×C42—41no—
673C2×C42—41no—
674C2×C42—41no—
675C2×C42—41no—
676C2×C42—41no—
677#95—22no—
678#95—22no—
679#95—22no—
680#95—22no—
681#95—22no—
682#95—22no—
683#95—22no—
684#95—22no—
685#95—22no—
686#95—22no—
687#95—22no—
688#95—22no—
689#95—22no—
690#95—22no—
691#95—22no—
692#95—22no—
693#95—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—
732#95—41no—
733#95—41no—
734#95—41no—
735#95—41no—
736#95—41no—
737#95—41no—
738#95—41no—
739#95—41no—
740#95—41no—
741#95—41no—
742#95—41no—
743#95—41no—
744#95—41no—
745#95—41no—
746#95—41no—
747#95—41no—
748#95—41no—
749#95—41no—
750#95—41no—
751#95—41no—
752#95—41no—
753#95—41no—
754#95—41no—
755#95—41no—
756#95—41no—
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—21no—
772C24—21no—
773C24—21no—
774C24—21no—
775C24—21no—
776C24—21no—
777C24—21no—
778C24—21no—
779C24—21no—
780C24—21no—
781C24—21no—
782C24—21no—
783C24—21no—
784C24—21no—
785C24—21no—
786C24—21no—
787C24—21no—
788C24—21no—
789C24—21no—
790C24—21no—
791C24—21no—
792C24—21no—
793C24—21no—
794C24—21no—
795C24—21no—
796C24—21no—
797C24—21no—
798C24—21no—
799C24—21no—
800C24—21no—
801C24—21no—
802C24—21no—
803C24—21no—
804C24—21no—
805C24—21no—
806C24—21no—
807C24—21no—
808C24—21no—
809C24—21no—
810C24—21no—
811C24—44no—
812C24—44no—
813C24—44no—
814C24—44no—
815C24—44no—
816C24—44no—
817C24—44no—
818C24—82no—
819C24—82no—
820C24—82no—
821C24—82no—
822C24—82no—
823C24—82no—
824C24—82no—
825C24—82no—
826C24—82no—
827C24—82no—
828C24—82no—
829C24—82no—
830C24—82no—
831C24—82no—
832C24—82no—
833C24—82no—
834C24—82no—
835C24—82no—
836C24—82no—
837C24—82no—
838C24—82no—
839C24—82no—
840C24—82no—
841C24—82no—
842C24—82no—
843C24—82no—
844C24—82no—
845C24—82no—
846C24C2×#4112yes—
847C24C2×#4112yes—
848C24C2×#4112yes—
849C24H(5,𝔽2)12yes—
850C24H(5,𝔽2)12yes—
851C24H(5,𝔽2)12yes—
852C24C2511yescharacteristic
853C2×D4—28no—
854C2×D4—44no—
855C2×D4—44no—
856C2×D4—44no—
857C2×D4—44no—
858C2×D4—44no—
859C2×D4—44no—
860C2×D4—44no—
861C2×D4—44no—
862C2×D4—44no—
863C2×D4—44no—
864C2×D4—82no—
865C2×D4—82no—
866C2×D4—82no—
867C2×D4—82no—
868C2×D4—82no—
869C2×D4—82no—
870C2×D4—82no—
871C2×D4—82no—
872C2×D4—82no—
873C2×D4—82no—
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—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—44no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—82no—
1063C22×C4—82no—
1064C22×C4—82no—
1065C22×C4—82no—
1066C22×C4—82no—
1067C22×C4—82no—
1068C22×C4—82no—
1069C22×C4—82no—
1070C22×C4—82no—
1071C22×C4—82no—
1072C22×C4—82no—
1073C22×C4—82no—
1074C22×C4—82no—
1075C22×C4—82no—
1076C22×C4—82no—
1077C22×C4—82no—
1078C22×C4C2×#4112yes—
1079C22×C4C2×#4112yes—
1080C22×C4C2×#4112yes—
1081C22×C4H(5,𝔽2)12yes—
1082C22×C4H(5,𝔽2)12yes—
1083C22×C4H(5,𝔽2)12yes—
1084C4⋊C4—44no—
1085C4⋊C4—44no—
1086C4⋊C4—44no—
1087C4⋊C4—82no—
1088C4⋊C4—82no—
1089C4⋊C4—82no—
1090C4⋊C4—82no—
1091C4⋊C4—82no—
1092C4⋊C4—82no—
1093C4⋊C4—82no—
1094C4⋊C4—82no—
1095C4⋊C4—82no—
1096C4⋊C4—82no—
1097C4⋊C4—82no—
1098C4⋊C4—82no—
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—44no—
1112C22⋊C4—44no—
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—82no—
1124C22⋊C4—82no—
1125C22⋊C4—82no—
1126C22⋊C4—82no—
1127C22⋊C4—82no—
1128C22⋊C4—82no—
1129C22⋊C4—82no—
1130C22⋊C4—82no—
1131C22⋊C4—82no—
1132C22⋊C4—82no—
1133C22⋊C4—82no—
1134C22⋊C4—82no—
1135C22⋊C4—82no—
1136C22⋊C4—82no—
1137C22⋊C4—82no—
1138C22⋊C4—82no—
1139C22⋊C4—82no—
1140C22⋊C4—82no—
1141C22⋊C4—82no—
1142C22⋊C4—82no—
1143C22⋊C4—82no—
1144C22⋊C4—82no—
1145C22⋊C4—82no—
1146C22⋊C4—82no—
1147C42—44no—
1148C42—82no—
1149C42—82no—
1150C42—82no—
1151C42—82no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
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—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
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—88no—
1292C23—88no—
1293C23—88no—
1294C23—88no—
1295C23—88no—
1296C23—88no—
1297C23—88no—
1298C23—88no—
1299C23—88no—
1300C23—88no—
1301C23—88no—
1302C23—88no—
1303C23—88no—
1304C23—88no—
1305C23—88no—
1306C23#53814yes—
1307C23C22×#4111yescharacteristic
1308C23C22×#4111yescharacteristic
1309C23C2×H(5,𝔽2)11yescharacteristic
1310C23C2×H(5,𝔽2)11yescharacteristic
1311C23C2×H(5,𝔽2)11yescharacteristic
1312C23C2×H(5,𝔽2)11yescharacteristic
1313C23C2×H(5,𝔽2)11yescharacteristic
1314C23C2×H(5,𝔽2)11yescharacteristic
1315C23#58511yescharacteristic
1316C23#58511yescharacteristic
1317C23#58511yescharacteristic
1318C23#58511yescharacteristic
1319C23#58511yescharacteristic
1320C23#58511yescharacteristic
1321C23#58511yescharacteristic
1322D4—88no—
1323D4—88no—
1324D4—88no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
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—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—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—88no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—832no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22C2×#53811yescharacteristic
1579C22#345911yescharacteristic
1580C22#347511yescharacteristic
1581C22#349411yescharacteristic
1582C22#350511yescharacteristic
1583C22#350511yescharacteristic
1584C22#351311yescharacteristic
1585C22#351311yescharacteristic
1586C22#351311yescharacteristic
1587C22#351311yescharacteristic
1588C22#351911yescharacteristic
1589C22#352111yescharacteristic
1590C22#352111yescharacteristic
1591C22#353311yescharacteristic
1592C22#353311yescharacteristic
1593C22#353311yescharacteristic
1594C22#353411yescharacteristic
1595C22#353411yescharacteristic
1596C22#353411yescharacteristic
1597C22#353411yescharacteristic
1598C22#353411yescharacteristic
1599C22#353711yescharacteristic
1600C22#354011yescharacteristic
1601C22#354011yescharacteristic
1602C22#354311yescharacteristic
1603C22#354511yescharacteristic
1604C22#354511yescharacteristic
1605C22#354511yescharacteristic
1606C22#354611yescharacteristic
1607C22#355811yescharacteristic
1608C22#356011yescharacteristic
1609C22#356011yescharacteristic
1610C22#356611yescharacteristic
1611C22#356611yescharacteristic
1612C22#356611yescharacteristic
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—81no—
1620C4—81no—
1621C4—81no—
1622C4—81no—
1623C4—81no—
1624C4—81no—
1625C4—81no—
1626C4—81no—
1627C4—81no—
1628C4—81no—
1629C4—81no—
1630C4—81no—
1631C4—81no—
1632C4—81no—
1633C4—81no—
1634C4—81no—
1635C4—81no—
1636C4—81no—
1637C4—81no—
1638C4—81no—
1639C4—81no—
1640C2—44no—
1641C2—82no—
1642C2—82no—
1643C2—82no—
1644C2#3718111yescharacteristic
1645C2#3817811yescharacteristic
1646C2#4023611yescharacteristic
1647C2#4066211yescharacteristic
1648C2#4076211yescharacteristic
1649C2#4210311yescharacteristic
1650C2#4377211yescharacteristic
1651C2#4677711yescharacteristic
1652C2#4870811yescharacteristic
1653C2#5026611yescharacteristic
1654C2#5185111yescharacteristic
1655C2#5394211yescharacteristic
1656C2#5438911yescharacteristic
1657C2#5729611yescharacteristic
1658C2#5816011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #17238C2semidirect
2. #17167C2semidirect
3. #17020C2semidirect
4. #16913C2semidirect
5. #16885C2semidirect
6. #16816C2semidirect
7. #16738C2semidirect
8. #16731C2semidirect
9. #16583C2semidirect
10. #16580C2semidirect
11. #16391C2semidirect
12. #16219C2semidirect
13. #15608C2semidirect
14. #15602C2semidirect
15. #15451C2semidirect
16. #15343C2semidirect
17. #15303C2semidirect
18. #15297C2semidirect
19. #15282C2semidirect
22. #14946C2semidirect
23. #14859C2semidirect
24. #14739C2semidirect
25. #14737C2semidirect
26. #14573C2semidirect
27. #14366C2semidirect
29. #14268C2semidirect
30. #14195C2semidirect
31. #13999C2semidirect
33. C2×#400C22semidirect
48. C2×#388C22semidirect
49. C2×#387C22semidirect
59. C2×#385C22semidirect
60. C2×#385C22semidirect
61. C2×#385C22semidirect
62. C2×#380C22semidirect
69. C2×C4×C4⋊C4C22semidirect
70. C2×C4×C22⋊C4C22semidirect
71. C22×#95C22semidirect
72. #1445C22semidirect
73. #1445C22semidirect
74. #1445C22semidirect
75. #1445C22semidirect
76. #1445C22semidirect
77. #1445C22semidirect
78. #1445C22semidirect
79. #1444C22semidirect
80. #1444C22semidirect
81. #1444C22semidirect
82. #1443C22semidirect
83. #1443C22semidirect
84. #1443C22semidirect
85. #1443C22semidirect
86. #1443C22semidirect
87. #1443C22semidirect
88. #1443C22semidirect
89. #1443C22semidirect
90. #1442C22semidirect
91. #1442C22semidirect
92. #1442C22semidirect
93. #1442C22semidirect
94. #1442C22semidirect
95. #1442C22semidirect
96. #1442C22semidirect
97. #1442C22semidirect
98. #1442C22semidirect
99. #1442C22semidirect
100. #1441C22semidirect
101. #1441C22semidirect
102. #1441C22semidirect
103. #1441C22semidirect
104. #1441C22semidirect
124. #1440C22semidirect
125. #1440C22semidirect
126. #1440C22semidirect
156. #1439C22semidirect
170. #1437C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. C4⋊#95C22semidirect
178. #1434C22semidirect
179. #1434C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
182. #1434C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
#172382
#171672
#170202
#169132
#168852
#168162
#167382
#167312
#165832
#165802
#163912
#162192
#156082
#156022
#154512
#153432
#153032
#152972
#152822
#152662
#149462
#148592
#147392
#147372
#145732
#143662
#143572
#142682
#141952
#139992