Finite Group Databasebeta

← #4032996

Subgroups — #4032996

Order 512.

2674 conjugacy classes of subgroups.

The subgroup lattice has 1691 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#16903C211yesmaximal, characteristic, complemented
2#16780C211yesmaximal, characteristic, complemented
3#16488C211yesmaximal, characteristic, complemented
4#16391C211yesmaximal, characteristic, complemented
5#16224C211yesmaximal, characteristic, complemented
6#15728C211yesmaximal, characteristic, complemented
7#15580C211yesmaximal, characteristic, complemented
8#15570C211yesmaximal, characteristic, complemented
9#15550C211yesmaximal, characteristic, complemented
10#15483C211yesmaximal, characteristic, complemented
11#15474C211yesmaximal, characteristic, complemented
12#15461C211yesmaximal, characteristic, complemented
13#15383C211yesmaximal, characteristic, complemented
14#15326C211yesmaximal, characteristic, complemented
15#15282C211yesmaximal, characteristic, complemented
16#15266C211yesmaximal, characteristic
17#14963C211yesmaximal, characteristic, complemented
18#14906C211yesmaximal, characteristic, complemented
19#14737C211yesmaximal, characteristic, complemented
20#14613C211yesmaximal, characteristic, complemented
21#14415C211yesmaximal, characteristic, complemented
22#14357C211yesmaximal, characteristic
23#14173C211yesmaximal, characteristic, complemented
24#14076C211yesmaximal, characteristic, complemented
25#14064C211yesmaximal, characteristic, complemented
26#13999C211yesmaximal, characteristic, complemented
27#13991C211yesmaximal, characteristic, complemented
28#13967C211yesmaximal, characteristic
29#13960C211yesmaximal, characteristic, complemented
30#13947C211yesmaximal, characteristic, complemented
31#13868C211yesmaximal, characteristic, complemented
32C22×#120C2211yescharacteristic
33C22×C4×D4C2211yescharacteristic
34C22×#117C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C2×#400C2211yescharacteristic, complemented
37C2×#400C2211yescharacteristic, complemented
38C2×#398C2211yescharacteristic, complemented
39C2×#397C2211yescharacteristic
40C2×#397C2211yescharacteristic
41C2×#394C2211yescharacteristic
42C2×#394C2211yescharacteristic
43C2×#390C2211yescharacteristic
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
60C2×#385C2211yescharacteristic, complemented
61C2×#381C2211yescharacteristic
62C2×#380C2211yescharacteristic, complemented
63C2×#380C2211yescharacteristic, complemented
64C2×#379C2211yescharacteristic
65C2×#379C2211yescharacteristic
66C2×#379C2211yescharacteristic
67C2×#379C2211yescharacteristic
68C2×#379C2211yescharacteristic
69C2×C4×C22⋊C4C2211yescharacteristic
70C2×C4×C22⋊C4C2211yescharacteristic, complemented
71C22×#95C2211yescharacteristic, complemented
72#1445C2211yescharacteristic, complemented
73#1445C2211yescharacteristic, complemented
74#1445C2211yescharacteristic, complemented
75#1443C2211yescharacteristic, complemented
76#1443C2211yescharacteristic, complemented
77#1443C2211yescharacteristic, complemented
78#1443C2211yescharacteristic, complemented
79#1443C2211yescharacteristic, complemented
80#1443C2211yescharacteristic, complemented
81#1442C2211yescharacteristic, complemented
82#1442C2211yescharacteristic, complemented
83#1442C2211yescharacteristic, complemented
84#1442C2211yescharacteristic, complemented
85#1442C2211yescharacteristic, complemented
86#1442C2211yescharacteristic, complemented
87#1442C2211yescharacteristic, complemented
88#1442C2211yescharacteristic, complemented
89#1442C2211yescharacteristic, complemented
90#1442C2211yescharacteristic, complemented
91#1442C2211yescharacteristic, complemented
92#1441C2211yescharacteristic, complemented
93#1441C2211yescharacteristic, complemented
94#1441C2211yescharacteristic, complemented
95#1441C2211yescharacteristic, complemented
96#1440C2211yescharacteristic
97#1440C2211yescharacteristic
98#1440C2211yescharacteristic
99#1440C2211yescharacteristic
100#1440C2211yescharacteristic
101#1440C2211yescharacteristic
102#1440C2211yescharacteristic
103#1440C2211yescharacteristic
104#1440C2211yescharacteristic
105#1440C2211yescharacteristic
106#1440C2211yescharacteristic
107#1440C2211yescharacteristic
108#1440C2211yescharacteristic
109#1440C2211yescharacteristic
110#1440C2211yescharacteristic, complemented
111#1439C2211yescharacteristic
112#1439C2211yescharacteristic
113#1439C2211yescharacteristic
114#1439C2211yescharacteristic
115#1439C2211yescharacteristic
116#1439C2211yescharacteristic
117#1439C2211yescharacteristic
118#1439C2211yescharacteristic
119#1439C2211yescharacteristic
120#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1438C2211yescharacteristic
139#1438C2211yescharacteristic
140#1438C2211yescharacteristic
141#1438C2211yescharacteristic
142#1438C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1437C2211yescharacteristic
149#1437C2211yescharacteristic
150#1437C2211yescharacteristic
151#1437C2211yescharacteristic
152#1437C2211yescharacteristic
153#1437C2211yescharacteristic
154#1437C2211yescharacteristic, complemented
155#1437C2211yescharacteristic, complemented
156#1436C2211yescharacteristic, complemented
157#1436C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162#1436C2211yescharacteristic, complemented
163#1436C2211yescharacteristic, complemented
164#1436C2211yescharacteristic, complemented
165#1436C2211yescharacteristic, complemented
166#1436C2211yescharacteristic, complemented
167#1434C2211yescharacteristic, complemented
168#1434C2211yescharacteristic, complemented
169#1434C2211yescharacteristic, complemented
170#1434C2211yescharacteristic, complemented
171#1434C2211yescharacteristic, complemented
172#1434C2211yescharacteristic, complemented
173#1434C2211yescharacteristic, complemented
174#1434C2211yescharacteristic, complemented
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic, complemented
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C4×#95C2211yescharacteristic, complemented
187C26C2311yescharacteristic
188C23×D4C2311yescharacteristic
189C23×D4C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C24×C4C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C2×#120—24no—
197C2×#120—24no—
198C2×#120—42no—
199C2×C4×D4—24no—
200C2×C4×D4—42no—
201C2×C4×D4—42no—
202C2×#117—42no—
203C2×#117—42no—
204C2×#117—42no—
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×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274#400—42no—
275#400—42no—
276#398—42no—
277#397—24no—
278#397—42no—
279#394—24no—
280#394—42no—
281#390—42no—
282#388—42no—
283#388—42no—
284#388—42no—
285#388—42no—
286#388—42no—
287#387—42no—
288#386—24no—
289#386—24no—
290#386—24no—
291#386—24no—
292#386—42no—
293#386—42no—
294#386—42no—
295#386—42no—
296#386—42no—
297#385—42no—
298#385—42no—
299#381—42no—
300#380—42no—
301#380—42no—
302#379—24no—
303#379—42no—
304#379—42no—
305#379—42no—
306#379—42no—
307C4×C22⋊C4—24no—
308C4×C22⋊C4—42no—
309C2×#95—42no—
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
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C25—22no—
391C25—22no—
392C25—22no—
393C25—22no—
394C25—22no—
395C25—41no—
396C25—41no—
397C25—41no—
398C25—41no—
399C25—41no—
400C25—41no—
401C25—41no—
402C25—41no—
403C25—41no—
404C25—41no—
405C25C2411yescharacteristic
406C25C2411yescharacteristic
407C25C2411yescharacteristic
408C25C2411yescharacteristic
409C22×D4—22no—
410C22×D4—22no—
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—22no—
414C22×D4—22no—
415C22×D4—22no—
416C22×D4—22no—
417C22×D4—22no—
418C22×D4—22no—
419C22×D4—41no—
420C22×D4—41no—
421C22×D4—41no—
422C22×D4—41no—
423C22×D4—41no—
424C22×D4—41no—
425C22×D4—41no—
426C22×D4—41no—
427C22×D4—41no—
428C22×D4#4114yes—
429C22×D4#4114yes—
430C23×C4—22no—
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—41no—
443C23×C4—41no—
444C23×C4—41no—
445C23×C4—41no—
446C23×C4—41no—
447C23×C4—41no—
448C23×C4—41no—
449C23×C4—41no—
450C23×C4—41no—
451C23×C4—41no—
452C23×C4—41no—
453C23×C4—41no—
454C23×C4—41no—
455C23×C4—41no—
456C23×C4—41no—
457C23×C4—41no—
458C23×C4—41no—
459C23×C4—41no—
460C23×C4—41no—
461C23×C4—41no—
462C23×C4—41no—
463C23×C4—41no—
464C23×C4#4114yes—
465C23×C4C2411yescharacteristic
466C23×C4C2411yescharacteristic
467C23×C4C2411yescharacteristic
468C23×C4C2411yescharacteristic
469C23×C4C2411yescharacteristic
470C23×C4C2411yescharacteristic
471C23×C4C2411yescharacteristic
472C23×C4C2411yescharacteristic
473C23×C4C2411yescharacteristic
474C23×C4C2411yescharacteristic
475C23×C4C2411yescharacteristic
476C23×C4C2411yescharacteristic
477C23×C4C2411yescharacteristic
478C23×C4C2411yescharacteristic
479C23×C4C2411yescharacteristic
480C23×C4C2411yescharacteristic
481C23×C4C2411yescharacteristic
482C23×C4C2411yescharacteristic
483C23×C4C2411yescharacteristic
484C23×C4C2411yescharacteristic
485C23×C4C2411yescharacteristic
486C23×C4C2411yescharacteristic
487C23×C4C2411yescharacteristic
488C23×C4C2411yescharacteristic
489C23×C4C2411yescharacteristic
490C23×C4C2411yescharacteristic
491C23×C4C2411yescharacteristic
492#120—416no—
493C4×D4—416no—
494#117—416no—
495C2×C4⋊C4—22no—
496C2×C4⋊C4—22no—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—22no—
499C2×C4⋊C4—22no—
500C2×C4⋊C4—22no—
501C2×C4⋊C4—22no—
502C2×C4⋊C4—22no—
503C2×C4⋊C4—22no—
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×C4⋊C4—41no—
521C2×C4⋊C4—41no—
522C2×C4⋊C4—41no—
523C2×C4⋊C4—41no—
524C2×C4⋊C4—41no—
525C2×C4⋊C4—41no—
526C2×C4⋊C4—41no—
527C2×C4⋊C4—41no—
528C2×C4⋊C4—41no—
529C2×C4⋊C4—41no—
530C2×C4⋊C4—41no—
531C2×C4⋊C4—41no—
532C2×C4⋊C4—41no—
533C2×C4⋊C4—41no—
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—22no—
567C2×C22⋊C4—22no—
568C2×C22⋊C4—22no—
569C2×C22⋊C4—22no—
570C2×C22⋊C4—22no—
571C2×C22⋊C4—22no—
572C2×C22⋊C4—22no—
573C2×C22⋊C4—22no—
574C2×C22⋊C4—22no—
575C2×C22⋊C4—22no—
576C2×C22⋊C4—22no—
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—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—416no—
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—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4#4114yes—
673C2×C42—22no—
674C2×C42—22no—
675C2×C42—22no—
676C2×C42—22no—
677C2×C42—22no—
678C2×C42—41no—
679C2×C42—41no—
680C2×C42—41no—
681C2×C42—41no—
682C2×C42—41no—
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—
694#95—22no—
695#95—22no—
696#95—22no—
697#95—22no—
698#95—22no—
699#95—22no—
700#95—22no—
701#95—22no—
702#95—22no—
703#95—22no—
704#95—22no—
705#95—22no—
706#95—22no—
707#95—22no—
708#95—22no—
709#95—22no—
710#95—22no—
711#95—22no—
712#95—22no—
713#95—22no—
714#95—22no—
715#95—22no—
716#95—22no—
717#95—22no—
718#95—22no—
719#95—22no—
720#95—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—
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—
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—21no—
812C24—21no—
813C24—21no—
814C24—21no—
815C24—21no—
816C24—21no—
817C24—21no—
818C24—21no—
819C24—21no—
820C24—21no—
821C24—21no—
822C24—21no—
823C24—21no—
824C24—21no—
825C24—21no—
826C24—44no—
827C24—44no—
828C24—44no—
829C24—44no—
830C24—44no—
831C24—44no—
832C24—44no—
833C24—44no—
834C24—44no—
835C24—44no—
836C24—44no—
837C24—44no—
838C24—44no—
839C24—82no—
840C24—82no—
841C24—82no—
842C24—82no—
843C24—82no—
844C24—82no—
845C24—82no—
846C24—82no—
847C24—82no—
848C24—82no—
849C24—82no—
850C24—82no—
851C24—82no—
852C24—82no—
853C24—82no—
854C24—82no—
855C24—82no—
856C24—82no—
857C24—82no—
858C24—82no—
859C24—82no—
860C24—82no—
861C24C2×#4112yes—
862C24C2×#4112yes—
863C24C2×#4112yes—
864C24C2×#4112yes—
865C24C2×#4112yes—
866C24C2×#4112yes—
867C24H(5,𝔽2)12yes—
868C24H(5,𝔽2)12yes—
869C24C2511yescharacteristic
870C2×D4—28no—
871C2×D4—28no—
872C2×D4—28no—
873C2×D4—44no—
874C2×D4—44no—
875C2×D4—44no—
876C2×D4—44no—
877C2×D4—44no—
878C2×D4—44no—
879C2×D4—44no—
880C2×D4—44no—
881C2×D4—44no—
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—82no—
885C2×D4—82no—
886C2×D4—82no—
887C2×D4—82no—
888C2×D4—82no—
889C2×D4—82no—
890C2×D4—82no—
891C22×C4—28no—
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—28no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
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—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—
1101C22×C4—82no—
1102C22×C4—82no—
1103C22×C4—82no—
1104C22×C4—82no—
1105C22×C4C2×#4112yes—
1106C22×C4C2×#4112yes—
1107C22×C4C2×#4112yes—
1108C22×C4C2×#4112yes—
1109C22×C4C2×#4112yes—
1110C22×C4C2×#4112yes—
1111C22×C4H(5,𝔽2)12yes—
1112C22×C4H(5,𝔽2)12yes—
1113C22×C4H(5,𝔽2)12yes—
1114C22×C4H(5,𝔽2)12yes—
1115C4⋊C4—44no—
1116C4⋊C4—44no—
1117C4⋊C4—44no—
1118C4⋊C4—44no—
1119C4⋊C4—82no—
1120C4⋊C4—82no—
1121C4⋊C4—82no—
1122C4⋊C4—82no—
1123C4⋊C4—82no—
1124C4⋊C4—82no—
1125C4⋊C4—82no—
1126C4⋊C4—82no—
1127C4⋊C4—82no—
1128C22⋊C4—44no—
1129C22⋊C4—44no—
1130C22⋊C4—44no—
1131C22⋊C4—44no—
1132C22⋊C4—44no—
1133C22⋊C4—44no—
1134C22⋊C4—44no—
1135C22⋊C4—44no—
1136C22⋊C4—44no—
1137C22⋊C4—44no—
1138C22⋊C4—44no—
1139C22⋊C4—44no—
1140C22⋊C4—44no—
1141C22⋊C4—44no—
1142C22⋊C4—44no—
1143C22⋊C4—44no—
1144C22⋊C4—44no—
1145C22⋊C4—44no—
1146C22⋊C4—44no—
1147C22⋊C4—44no—
1148C22⋊C4—44no—
1149C22⋊C4—44no—
1150C22⋊C4—82no—
1151C22⋊C4—82no—
1152C22⋊C4—82no—
1153C22⋊C4—82no—
1154C22⋊C4—82no—
1155C22⋊C4—82no—
1156C22⋊C4—82no—
1157C22⋊C4—82no—
1158C22⋊C4—82no—
1159C22⋊C4—82no—
1160C22⋊C4—82no—
1161C22⋊C4—82no—
1162C22⋊C4—82no—
1163C22⋊C4—82no—
1164C22⋊C4—82no—
1165C22⋊C4—82no—
1166C22⋊C4—82no—
1167C22⋊C4—82no—
1168C22⋊C4—82no—
1169C22⋊C4—82no—
1170C22⋊C4—82no—
1171C22⋊C4—82no—
1172C22⋊C4—82no—
1173C22⋊C4—82no—
1174C42—44no—
1175C42—44no—
1176C42—44no—
1177C42—82no—
1178C42—82no—
1179C42—82no—
1180C42—82no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
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—416no—
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—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—
1320C23—88no—
1321C23—88no—
1322C23—88no—
1323C23—88no—
1324C23—88no—
1325C23—88no—
1326C23—88no—
1327C23—88no—
1328C23—88no—
1329C23—88no—
1330C23—88no—
1331C23—88no—
1332C23—88no—
1333C23—88no—
1334C23#55114yes—
1335C23#55314yes—
1336C23C22×#4111yescharacteristic
1337C23C22×#4111yescharacteristic
1338C23C22×#4111yescharacteristic
1339C23C22×#4111yescharacteristic
1340C23C2×H(5,𝔽2)11yescharacteristic
1341C23C2×H(5,𝔽2)11yescharacteristic
1342C23C2×H(5,𝔽2)11yescharacteristic
1343C23C2×H(5,𝔽2)11yescharacteristic
1344C23C2×H(5,𝔽2)11yescharacteristic
1345C23C2×H(5,𝔽2)11yescharacteristic
1346C23#58511yescharacteristic
1347C23#58511yescharacteristic
1348C23#58511yescharacteristic
1349C23#58511yescharacteristic
1350C23#58511yescharacteristic
1351D4—416no—
1352D4—88no—
1353D4—88no—
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—416no—
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—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—88no—
1545C2×C4—88no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C22—24no—
1549C22—24no—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—24no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—832no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22#346011yescharacteristic
1610C22C2×#55111yescharacteristic
1611C22C2×#55311yescharacteristic
1612C22#347511yescharacteristic
1613C22#347511yescharacteristic
1614C22#347511yescharacteristic
1615C22#348111yescharacteristic
1616C22#349011yescharacteristic
1617C22#349011yescharacteristic
1618C22#349111yescharacteristic
1619C22#349111yescharacteristic
1620C22#350511yescharacteristic
1621C22#350511yescharacteristic
1622C22#350511yescharacteristic
1623C22#350611yescharacteristic
1624C22#351311yescharacteristic
1625C22#351311yescharacteristic
1626C22#351311yescharacteristic
1627C22#351911yescharacteristic
1628C22#351911yescharacteristic
1629C22#351911yescharacteristic
1630C22#352111yescharacteristic
1631C22#353211yescharacteristic
1632C22#353411yescharacteristic
1633C22#353411yescharacteristic
1634C22#353911yescharacteristic
1635C22#354211yescharacteristic
1636C22#354511yescharacteristic
1637C22#355111yescharacteristic
1638C22#355811yescharacteristic
1639C22#355811yescharacteristic
1640C22#355811yescharacteristic
1641C22#355811yescharacteristic
1642C22#356011yescharacteristic
1643C22#356611yescharacteristic
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—81no—
1655C4—81no—
1656C4—81no—
1657C4—81no—
1658C4—81no—
1659C4—81no—
1660C4—81no—
1661C4—81no—
1662C4—81no—
1663C4—81no—
1664C4—81no—
1665C4—81no—
1666C4—81no—
1667C4—81no—
1668C4—81no—
1669C4—81no—
1670C4—81no—
1671C2—44no—
1672C2—44no—
1673C2—82no—
1674C2—82no—
1675C2#3864811yescharacteristic
1676C2#3925211yescharacteristic
1677C2#4024411yescharacteristic
1678C2#4304811yescharacteristic
1679C2#4317111yescharacteristic
1680C2#4379511yescharacteristic
1681C2#4638511yescharacteristic
1682C2#4839211yescharacteristic
1683C2#4842311yescharacteristic
1684C2#5053011yescharacteristic
1685C2#5439411yescharacteristic
1686C2#5921011yescharacteristic
1687C2#5930111yescharacteristic
1688C2#5935111yescharacteristic
1689C2#5947211yescharacteristic
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. #16903C2semidirect
2. #16780C2semidirect
3. #16488C2semidirect
4. #16391C2semidirect
5. #16224C2semidirect
6. #15728C2semidirect
7. #15580C2semidirect
8. #15570C2semidirect
9. #15550C2semidirect
10. #15483C2semidirect
11. #15474C2semidirect
12. #15461C2semidirect
13. #15383C2semidirect
14. #15326C2semidirect
15. #15282C2semidirect
17. #14963C2semidirect
18. #14906C2semidirect
19. #14737C2semidirect
20. #14613C2semidirect
21. #14415C2semidirect
23. #14173C2semidirect
24. #14076C2semidirect
25. #14064C2semidirect
26. #13999C2semidirect
27. #13991C2semidirect
29. #13960C2semidirect
30. #13947C2semidirect
31. #13868C2semidirect
36. C2×#400C22semidirect
37. C2×#400C22semidirect
38. C2×#398C22semidirect
48. C2×#388C22semidirect
49. C2×#387C22semidirect
60. C2×#385C22semidirect
62. C2×#380C22semidirect
63. C2×#380C22semidirect
70. C2×C4×C22⋊C4C22semidirect
71. C22×#95C22semidirect
72. #1445C22semidirect
73. #1445C22semidirect
74. #1445C22semidirect
75. #1443C22semidirect
76. #1443C22semidirect
77. #1443C22semidirect
78. #1443C22semidirect
79. #1443C22semidirect
80. #1443C22semidirect
81. #1442C22semidirect
82. #1442C22semidirect
83. #1442C22semidirect
84. #1442C22semidirect
85. #1442C22semidirect
86. #1442C22semidirect
87. #1442C22semidirect
88. #1442C22semidirect
89. #1442C22semidirect
90. #1442C22semidirect
91. #1442C22semidirect
92. #1441C22semidirect
93. #1441C22semidirect
94. #1441C22semidirect
95. #1441C22semidirect
110. #1440C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
154. #1437C22semidirect
155. #1437C22semidirect
156. #1436C22semidirect
157. #1436C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. #1436C22semidirect
163. #1436C22semidirect
164. #1436C22semidirect
165. #1436C22semidirect
166. #1436C22semidirect
167. #1434C22semidirect
168. #1434C22semidirect
169. #1434C22semidirect
170. #1434C22semidirect
171. #1434C22semidirect
172. #1434C22semidirect
173. #1434C22semidirect
174. #1434C22semidirect
181. C22⋊#95C22semidirect
182. C22⋊#95C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C4×#95C22semidirect

Maximal subgroups

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

subgroupindex
#169032
#167802
#164882
#163912
#162242
#157282
#155802
#155702
#155502
#154832
#154742
#154612
#153832
#153262
#152822
#152662
#149632
#149062
#147372
#146132
#144152
#143572
#141732
#140762
#140642
#139992
#139912
#139672
#139602
#139472
#138682