Finite Group Databasebeta

← #72330612

Subgroups — #72330612

Order 2048.

At least 10992 conjugacy classes of subgroups; only the 13384 normal subgroups are shown.

The subgroup lattice has 1634 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72330555C211yesmaximal, characteristic, complemented
2#72330527C211yesmaximal, characteristic, complemented
3#72330484C214yesmaximal, complemented
4#72330479C214yesmaximal, complemented
5#72330476C214yesmaximal, complemented
6#72330464C212yesmaximal, complemented
7#72330457C212yesmaximal, complemented
8#72330409C212yesmaximal, complemented
9#72330407C212yesmaximal, complemented
10#72330396C212yesmaximal, complemented
11#72330393C212yesmaximal, complemented
12#72330334C211yesmaximal, characteristic, complemented
13#72330313C214yesmaximal, complemented
14#72330307C214yesmaximal, complemented
15#72330296C214yesmaximal, complemented
16#72330291C214yesmaximal, complemented
17#72330274C211yesmaximal, characteristic, complemented
18#72330051C212yesmaximal, complemented
19C2×#524461C212yesmaximal, complemented
20#72298498C214yesmaximal, complemented
21C24×#386C211yesmaximal, characteristic, complemented
22#72287884C211yesmaximal, characteristic, complemented
23#72286433C211yesmaximal, characteristic, complemented
24#72286413C211yesmaximal, characteristic, complemented
25#72286413C211yesmaximal, characteristic, complemented
26#72286409C211yesmaximal, characteristic, complemented
27#72286409C211yesmaximal, characteristic, complemented
28C2×D4×#379C211yesmaximal, characteristic, complemented
29C22×#14694C211yesmaximal, characteristic, complemented
30C2×#516383C211yesmaximal, characteristic, complemented
31C22×D4×#120C211yesmaximal, characteristic
32C26×D4C2211yescharacteristic
33C27×C4C2211yescharacteristic, complemented
34C23×D42C2211yescharacteristic
35C23×D42C2212yes—
36C24×#120C2211yescharacteristic
37C24×#120C2211yescharacteristic
38C25×C22⋊C4C2211yescharacteristic, complemented
39C25×C22⋊C4C2211yescharacteristic, complemented
40C25×C22⋊C4C2211yescharacteristic, complemented
41C22×#2847C2211yescharacteristic
42C22×#2846C2211yescharacteristic
43C22×#2846C2211yescharacteristic
44C2×D4×#120C4132yescomplemented
45C22×#2433C2212yes—
46C22×#2433C2211yescharacteristic
47C22×#2408C2211yescharacteristic
48C22×#2408C2212yes—
49C22×#2410C2212yes—
50C22×#2410C2212yes—
51C22×#2410C2211yescharacteristic
52C22×#2410C2211yescharacteristic
53C22×#2403C2211yescharacteristic
54C22×#2403C2211yescharacteristic
55C22×#2403C2212yes—
56C22×#2403C2212yes—
57C22×D4×C22⋊C4C2212yes—
58C22×D4×C22⋊C4C2212yes—
59C22×D4×C22⋊C4C2211yescharacteristic
60C22×D4×C22⋊C4C2214yescomplemented
61C22×#2308C2212yescomplemented
62C22×C4×#120C2211yescharacteristic
63C23×#386C2214yes—
64C23×#386C2212yes—
65C23×#386C2214yescomplemented
66C23×#386C2212yescomplemented
67C23×#386C2214yescomplemented
68C23×#386C2214yescomplemented
69C23×#386C2212yescomplemented
70C23×#386C2212yescomplemented
71C23×#386C2212yescomplemented
72C23×#386C2214yescomplemented
73C23×#379C2211yescharacteristic, complemented
74C23×#379C2211yescharacteristic, complemented
75C24×#95C2211yescharacteristic, complemented
76C24×#95C2211yescharacteristic, complemented
77C2×#14694C2211yescharacteristic
78C2×#14694C2211yescharacteristic
79C2×#14694C2211yescharacteristic
80C2×#14694C2211yescharacteristic
81C2×#14694C2211yescharacteristic, complemented
82C2×#14694C2211yescharacteristic, complemented
83C2×#14694C2211yescharacteristic, complemented
84C2×#14694C2211yescharacteristic, complemented
85C2×#14694C2212yescomplemented
86C2×#14694C2214yescomplemented
87C2×#14694C2212yescomplemented
88C2×#14694C2214yescomplemented
89C2×#14694C2212yescomplemented
90C2×#14694C2211yescharacteristic, complemented
91C2×#14694C2211yescharacteristic, complemented
92C2×#14694C2211yescharacteristic, complemented
93C2×#14694C2211yescharacteristic, complemented
94C2×#14694C2214yescomplemented
95C2×#14694C2212yescomplemented
96C2×#14694C2214yescomplemented
97C2×#14680C2211yescharacteristic, complemented
98C2×#14679C2211yescharacteristic, complemented
99C2×#14679C2211yescharacteristic, complemented
100C2×#14419C2214yescomplemented
101C2×#14417C2214yescomplemented
102C2×#14363C2214yescomplemented
103C2×#14357C2214yescomplemented
104C2×#14271C2212yescomplemented
105C2×#14255C2212yescomplemented
106C2×#14255C2212yescomplemented
107C2×#14255C2212yescomplemented
108C2×#14255C2212yescomplemented
109C2×#14152C2212yescomplemented
110C2×#14134C2214yescomplemented
111C2×#14134C2212yescomplemented
112C2×#14134C2212yescomplemented
113C2×#14134C2214yescomplemented
114C2×#14134C2214yescomplemented
115C2×#14134C2214yescomplemented
116C2×#14023C2214yescomplemented
117C2×#13967C2214yescomplemented
118C2×#13960C2212yescomplemented
119C2×#13902C2214yescomplemented
120C2×#13902C2212yescomplemented
121C2×#13894C2214yescomplemented
122C2×#13869C2214yescomplemented
123C2×#13867C2214yes—
124C2×#13867C2212yescomplemented
125C2×#13867C2214yescomplemented
126C2×#13867C2212yescomplemented
127C2×#13867C2214yescomplemented
128C2×#13867C2212yescomplemented
129C2×#13867C2212yescomplemented
130C2×#13867C2214yescomplemented
131C2×#13867C2214yescomplemented
132C2×#13867C2214yescomplemented
133C2×#13794C2212yescomplemented
134C2×#13784C2212yescomplemented
135C2×C4×#379C2211yescharacteristic, complemented
136C22×C22⋊#95C2214yescomplemented
137C22×C22⋊#95C2212yescomplemented
138#155995C2218yescomplemented
139#155875C2218yescomplemented
140#155875C2218yescomplemented
141#155875C2218yescomplemented
142#155068C2218yescomplemented
143#155067C2218yescomplemented
144#155066C2218yescomplemented
145#155066C2218yescomplemented
146#155066C2218yescomplemented
147#155065C2218yescomplemented
148#155065C2218yescomplemented
149#155065C2218yescomplemented
150#154775C2218yescomplemented
151#154773C2218yescomplemented
152#154763C2218yescomplemented
153#154704C2218yescomplemented
154#154700C2218yescomplemented
155#154674C2218yescomplemented
156#154674C2218yescomplemented
157#154670C2218yescomplemented
158#154356C2212yescomplemented
159#154345C2212yescomplemented
160#154345C2212yescomplemented
161#154345C2212yescomplemented
162#154275C2214yescomplemented
163#154260C2214yescomplemented
164#154255C2214yescomplemented
165#154255C2214yescomplemented
166#154255C2218yescomplemented
167#154214C2214yescomplemented
168#154206C2214yescomplemented
169#154206C2214yescomplemented
170#154206C2214yescomplemented
171#154200C2214yescomplemented
172#154200C2214yescomplemented
173#154200C2214yescomplemented
174#154200C2214yescomplemented
175#154200C2212yescomplemented
176#154200C2212yescomplemented
177#154197C2218yescomplemented
178#154197C2218yescomplemented
179#154195C2214yescomplemented
180#154195C2214yescomplemented
181#154195C2214yescomplemented
182#154195C2212yescomplemented
183#154195C2212yescomplemented
184#154195C2214yescomplemented
185#154195C2214yescomplemented
186#154195C2214yescomplemented
187#154195C2212yescomplemented
188#154195C2212yescomplemented
189#154195C2212yescomplemented
190#154195C2212yescomplemented
191#154195C2214yescomplemented
192#154195C2214yescomplemented
193#154195C2218yescomplemented
194#154077C2211yescharacteristic, complemented
195#154077C2211yescharacteristic, complemented
196#154077C2211yescharacteristic, complemented
197#154077C2211yescharacteristic, complemented
198#154077C2214yescomplemented
199#154077C2214yescomplemented
200#154077C2212yescomplemented
201#154077C2212yescomplemented
202#154037C2218yescomplemented
203#154037C2218yescomplemented
204#153938C2212yescomplemented
205#153931C2212yescomplemented
206#153931C2212yescomplemented
207#153908C2212yescomplemented
208#153905C2212yescomplemented
209#153905C2212yescomplemented
210#153905C2212yescomplemented
211#153860C2212yescomplemented
212#153860C2212yescomplemented
213#153851C2214yescomplemented
214#153851C2214yescomplemented
215#153851C2214yescomplemented
216#153851C2214yescomplemented
217#153851C2212yescomplemented
218#153851C2212yescomplemented
219#153851C2212yescomplemented
220#153851C2212yescomplemented
221#153828C2214yescomplemented
222#153828C2214yescomplemented
223#153827C2214yescomplemented
224#153827C2214yescomplemented
225#153827C2218yescomplemented
226#153827C2218yescomplemented
227#153780C2214yescomplemented
228#153775C2214yescomplemented
229#153775C2214yescomplemented
230#153775C2214yescomplemented
231#153717C2212yescomplemented
232C28C2311yescharacteristic
233C28C2311yescharacteristic
234C25×D4C2×C4116yes—
235C25×D4D4116yes—
236C25×D4D4116yes—
237C25×D4C2311yescharacteristic
238C25×D4C2312yes—
239C25×D4C2311yescharacteristic
240C25×D4C2312yes—
241C25×D4C2312yes—
242C25×D4C2311yescharacteristic
243C25×D4C2312yes—
244C25×D4C2312yes—
245C25×D4C2311yescharacteristic
246C25×D4C2311yescharacteristic
247C25×D4C2311yescharacteristic
248C25×D4C2312yes—
249C25×D4C2311yescharacteristic
250C26×C4C2311yescharacteristic
251C26×C4C2314yes—
252C26×C4C2311yescharacteristic
253C26×C4C2311yescharacteristic
254C26×C4C2311yescharacteristic
255C26×C4C2314yes—
256C26×C4C2312yes—
257C26×C4C2312yes—
258C26×C4C2311yescharacteristic
259C22×D42C2×C4116yescomplemented
260C22×D42C2×C4132yescomplemented
261C23×#127C2311yescharacteristic
262C23×#127C2312yes—
263C23×#121C2311yescharacteristic
264C23×#121C2311yescharacteristic
265C23×#121C2311yescharacteristic
266C23×#121C2311yescharacteristic
267C23×#121C2312yes—
268C23×#121C2312yes—
269C23×#121C2312yes—
270C23×#121C2312yes—
271C23×#120C2×C4116yescomplemented
272C23×#120C2×C4116yescomplemented
273C23×#120C2311yescharacteristic
274C23×#120C2312yes—
275C23×#120C2311yescharacteristic
276C23×#120C2311yescharacteristic
277C23×#120C2311yescharacteristic
278C23×#120C2311yescharacteristic
279C23×#120C2311yescharacteristic
280C23×#120C2311yescharacteristic
281C23×#120C2312yes—
282C23×#120C2312yes—
283C23×#120C2311yescharacteristic
284C23×#120C2312yes—
285C23×#120C2312yes—
286C23×#120C2311yescharacteristic
287C23×#120C2311yescharacteristic
288C23×#120C2311yescharacteristic
289C23×#120C2311yescharacteristic
290C23×#120C2312yes—
291C23×#120C2312yes—
292C23×#120C2312yes—
293C23×#120C2312yes—
294C23×#120C2311yescharacteristic
295C23×#120C2312yes—
296C23×C4×D4C2311yescharacteristic
297C23×C4×D4C2311yescharacteristic
298C23×C4×D4C2314yes—
299C23×C4×D4C2312yes—
300C23×C4×D4C2312yes—
301C24×C22⋊C4C2314yes—
302C24×C22⋊C4C2312yes—
303C24×C22⋊C4C2314yes—
304C24×C22⋊C4C2312yes—
305C24×C22⋊C4C2314yes—
306C24×C22⋊C4C2312yes—
307C24×C22⋊C4C2314yes—
308C24×C22⋊C4C2314yes—
309C24×C22⋊C4C2314yes—
310C24×C22⋊C4C2311yescharacteristic
311C24×C22⋊C4C2312yes—
312C24×C22⋊C4C2312yes—
313C24×C22⋊C4C2311yescharacteristic
314C24×C22⋊C4C2312yes—
315C24×C22⋊C4C2312yes—
316C24×C22⋊C4C2314yes—
317C24×C22⋊C4C2312yes—
318C24×C22⋊C4C2314yes—
319C24×C22⋊C4C2312yes—
320C24×C22⋊C4C2312yes—
321C24×C22⋊C4C2314yescomplemented
322C2×#2847C2×C4116yescomplemented
323C2×#2846C2×C4116yescomplemented
324C2×#2846C2×C4116yescomplemented
325C2×#2433C2×C4116yescomplemented
326C2×#2433C2×C4132yescomplemented
327C2×#2408C2×C4116yescomplemented
328C2×#2408C2×C4132yescomplemented
329C2×#2410C2×C4132yescomplemented
330C2×#2410C2×C4116yescomplemented
331C2×#2410C2×C4116yescomplemented
332C2×#2410C2×C4132yescomplemented
333C2×#2403C2×C4132yescomplemented
334C2×#2403C2×C4116yescomplemented
335C2×#2403C2×C4116yescomplemented
336C2×#2403C2×C4132yescomplemented
337C22×#394C2312yes—
338C22×#394C2312yes—
339C22×#394C2312yes—
340C22×#392C2312yes—
341C22×#392C2312yes—
342C22×#392C2312yes—
343C22×#392C2312yes—
344C22×#392C2312yes—
345C22×#392C2312yes—
346C22×#392C2312yes—
347C22×#392C2312yes—
348C22×#392C2312yes—
349C2×D4×C22⋊C4C2×C4132yescomplemented
350C2×D4×C22⋊C4C2×C4116yescomplemented
351C2×C4×#120C2×C4116yescomplemented
352C22×#390C2314yes—
353C22×#390C2312yes—
354C22×#390C2312yes—
355C22×#390C2312yes—
356C22×#390C2318yes—
357C22×#386D4132yescomplemented
358C22×#386C2318yes—
359C22×#386C2318yes—
360C22×#386C2318yes—
361C22×#386C2318yes—
362C22×#386C2318yes—
363C22×#386C2318yes—
364C22×#386C2312yes—
365C22×#386C2314yes—
366C22×#386C2314yes—
367C22×#386C2312yes—
368C22×#386C2312yes—
369C22×#386C2314yes—
370C22×#386C2312yes—
371C22×#386C2314yes—
372C22×#386C2312yes—
373C22×#386C2312yes—
374C22×#386C2312yes—
375C22×#386C2311yescharacteristic
376C22×#386C2312yes—
377C22×#386C2311yescharacteristic
378C22×#386C2311yescharacteristic
379C22×#386C2312yes—
380C22×#386C2312yes—
381C22×#386C2312yes—
382C22×#386C2312yes—
383C22×#386C2312yes—
384C22×#386C2312yes—
385C22×#386C2312yes—
386C22×#386C2312yes—
387C22×#386C2314yes—
388C22×#386C2314yes—
389C22×#386C2314yes—
390C22×#386C2314yes—
391C22×#386C2312yes—
392C22×#386C2314yes—
393C22×#386C2312yes—
394C22×#386C2312yes—
395C22×#386C2314yes—
396C22×#386C2314yes—
397C22×#386C2314yes—
398C22×#386C2312yes—
399C22×#386C2312yes—
400C22×#386C2314yes—
401C22×#386C2318yes—
402C22×#386C2314yes—
403C22×#386C2318yes—
404C22×#386C2314yes—
405C22×#386C2314yes—
406C22×#386C2314yes—
407C22×#386C2314yes—
408C22×#386C2314yescomplemented
409C22×#386C2314yescomplemented
410C22×#386C2314yescomplemented
411C22×#386C2314yescomplemented
412C22×#386C2314yescomplemented
413C22×#386C2314yescomplemented
414C22×#386C2318yescomplemented
415C22×#386C2318yescomplemented
416C22×#386C2314yescomplemented
417C22×#386C2314yescomplemented
418C22×#386C2318yescomplemented
419C22×#385C2311yescharacteristic
420C22×#385C2312yes—
421C22×#381C2314yescomplemented
422C22×#380C2312yes—
423C22×#380C2311yescharacteristic
424C22×#380C2312yes—
425C22×#380C2314yes—
426C22×#379C2311yescharacteristic
427C22×#379C2311yescharacteristic
428C22×#379C2311yescharacteristic
429C22×#379C2312yes—
430C22×#379C2312yes—
431C22×#379C2314yes—
432C22×#379C2314yes—
433C22×#379C2314yes—
434C22×#379C2312yes—
435C22×#379C2312yes—
436C22×#379C2311yescharacteristic
437C22×#379C2311yescharacteristic
438C22×#379C2312yes—
439C22×#379C2312yes—
440C22×#379C2311yescharacteristic
441C22×#379C2311yescharacteristic
442C22×#379C2312yes—
443C22×#379C2311yescharacteristic
444C22×#379C2312yes—
445C22×#379C2311yescharacteristic
446C22×#379C2312yes—
447C22×#379C2314yes—
448C22×#379C2312yes—
449C22×#379C2314yes—
450C22×#379C2314yes—
451C22×#379C2314yescomplemented
452C22×#379C2314yescomplemented
453C22×#379C2314yescomplemented
454C22×C4×C22⋊C4C2312yes—
455C22×C4×C22⋊C4C2311yescharacteristic
456C22×C4×C22⋊C4C2312yes—
457C22×C4×C22⋊C4C2314yes—
458C23×#95C2314yes—
459C23×#95C2314yes—
460C23×#95C2312yes—
461C23×#95C2314yes—
462C23×#95C2314yes—
463C23×#95C2312yes—
464C23×#95C2312yes—
465C23×#95C2312yes—
466C23×#95C2314yescomplemented
467C23×#95C2318yescomplemented
468#14694D4116yescomplemented
469C2×#1445C2314yescomplemented
470C2×#1445C2314yescomplemented
471C2×#1441C2314yescomplemented
472C2×#1440C2318yescomplemented
473C2×#1440C2318yescomplemented
474C2×#1440C2314yescomplemented
475C2×#1440C2314yescomplemented
476C2×#1440C2314yescomplemented
477C2×#1440C2314yescomplemented
478C2×#1440C2318yescomplemented
479C2×#1440C2318yescomplemented
480C2×#1440C2318yescomplemented
481C2×#1439C2314yescomplemented
482C2×#1439C2314yescomplemented
483C2×#1439C2314yescomplemented
484C2×#1438C2318yes—
485C2×#1438C2318yes—
486C2×#1438C2318yes—
487C2×#1438C2314yescomplemented
488C2×#1438C2314yescomplemented
489C2×#1438C2318yescomplemented
490C2×#1438C2318yescomplemented
491C2×#1438C2314yescomplemented
492C2×#1438C2314yescomplemented
493C2×#1438C2314yescomplemented
494C2×#1438C2314yescomplemented
495C2×#1438C2314yescomplemented
496C2×#1438C2314yescomplemented
497C2×#1438C2314yescomplemented
498C2×#1438C2314yescomplemented
499C2×#1438C2318yescomplemented
500C2×#1438C2318yescomplemented
501C2×#1438C2318yescomplemented
502C2×#1438C2318yescomplemented
503C2×#1438C2318yescomplemented
504C2×#1438C2318yescomplemented
505C2×#1438C2318yescomplemented
506C2×#1437C2314yescomplemented
507C2×#1437C2314yescomplemented
508C2×#1437C2314yescomplemented
509C2×#1436C2314yescomplemented
510C2×#1434C2314yescomplemented
511C2×#1434C2314yescomplemented
512C2×C22⋊#95C2314yes—
513C2×C22⋊#95C2314yes—
514C2×C22⋊#95C2314yes—
515C2×C22⋊#95C2312yes—
516C2×C22⋊#95C2312yes—
517C2×C22⋊#95C2312yes—
518C2×C22⋊#95C2312yes—
519C2×C22⋊#95C2312yes—
520C2×C22⋊#95C2312yes—
521C2×C22⋊#95C2314yes—
522C2×C22⋊#95C2312yes—
523C2×C22⋊#95C2312yes—
524C2×C22⋊#95C2312yes—
525C2×C22⋊#95C2312yes—
526C2×C22⋊#95C2312yes—
527C2×C22⋊#95C2312yes—
528C2×C22⋊#95C2312yes—
529C2×C22⋊#95C2312yes—
530C2×C22⋊#95C2314yes—
531C2×C22⋊#95C2314yes—
532C2×C22⋊#95C2314yes—
533C2×C22⋊#95C2314yes—
534C2×C22⋊#95C2314yes—
535C2×C22⋊#95C2314yes—
536C2×C22⋊#95C2312yes—
537C2×C22⋊#95C2312yes—
538C2×C22⋊#95C2312yes—
539C2×C22⋊#95C2312yes—
540C2×C22⋊#95C2314yes—
541C2×C22⋊#95C2314yes—
542C2×C22⋊#95C2314yes—
543C2×C22⋊#95C2312yes—
544C2×C22⋊#95C2312yes—
545C2×C22⋊#95C2312yes—
546C2×C22⋊#95C2314yes—
547C2×C22⋊#95C2314yes—
548C2×C22⋊#95C2314yes—
549C2×C22⋊#95C2314yes—
550C2×C22⋊#95C2314yes—
551C2×C22⋊#95C2314yes—
552C2×C22⋊#95C2314yes—
553C2×C22⋊#95C2314yes—
554C2×C22⋊#95C2314yes—
555C2×C22⋊#95C2312yes—
556C2×C22⋊#95C2318yescomplemented
557C2×C22⋊#95C2318yescomplemented
558C2×C22⋊#95C2314yescomplemented
559C2×C22⋊#95C2314yescomplemented
560C2×C22⋊#95C2314yescomplemented
561C2×C22⋊#95C2314yescomplemented
562C2×C22⋊#95C2314yescomplemented
563C2×C22⋊#95C2314yescomplemented
564C2×C22⋊#95C2314yescomplemented
565C2×C22⋊#95C2314yescomplemented
566C2×C22⋊#95C2318yescomplemented
567C2×C22⋊#95C2318yescomplemented
568C2×C22⋊#95C2318yescomplemented
569C2×C22⋊#95C2318yescomplemented
570C2×C22⋊#95C2318yescomplemented
571C2×C22⋊#95C2318yescomplemented
572C2×C22⋊#95C2318yescomplemented
573C2×C22⋊#95C2318yescomplemented
574C2×C22⋊#95C2318yescomplemented
575C2×C22⋊#95C2318yescomplemented
576C2×C22⋊#95C2318yescomplemented
577C2×C22⋊#95C2318yescomplemented
578#7557C2318yescomplemented
579#7557C2318yescomplemented
580#7557C2318yescomplemented
581#7557C2318yescomplemented
582#7557C2318yescomplemented
583#7557C2318yescomplemented
584#7556C2318yescomplemented
585#7556C2318yescomplemented
586#7556C2318yescomplemented
587#7556C2318yescomplemented
588#7556C2318yescomplemented
589#7556C2318yescomplemented
590#7556C2318yescomplemented
591#7556C2318yescomplemented
592#7555C2318yescomplemented
593#7555C2318yescomplemented
594#7555C2318yescomplemented
595#7555C2318yescomplemented
596#7555C2318yescomplemented
597#7555C2318yescomplemented
598#7555C2318yescomplemented
599#7555C2318yescomplemented
600#7555C2318yescomplemented
601#7555C2318yescomplemented
602#7555C2318yescomplemented
603#7555C2318yescomplemented
604#7555C2318yescomplemented
605#7555C2318yescomplemented
606#7555C2318yescomplemented
607#7555C2318yescomplemented
608#7555C2318yescomplemented
609#7555C2318yescomplemented
610#7555C2318yescomplemented
611#7555C2318yescomplemented
612#7555C2318yescomplemented
613#7555C2318yescomplemented
614#7554C2318yescomplemented
615#7554C2318yescomplemented
616#7554C2318yescomplemented
617#7554C2318yescomplemented
618C27C22×C418yes—
619C27C22×C418yes—
620C27C2×D418yes—
621C27C2×D418yes—
622C27C2×D418yes—
623C27C2×D418yes—
624C27C2411yescharacteristic
625C27C2412yes—
626C27C2411yescharacteristic
627C27C2411yescharacteristic
628C27C2412yes—
629C27C2412yes—
630C27C2411yescharacteristic
631C27C2412yes—
632C27C2411yescharacteristic
633C27C2411yescharacteristic
634C27C2411yescharacteristic
635C24×D4C22⋊C41256yescomplemented
636C24×D4C22×C418yes—
637C24×D4C22×C4116yes—
638C24×D4C22×C4116yes—
639C24×D4C22×C4116yes—
640C24×D4C22×C418yes—
641C24×D4C22×C4116yes—
642C24×D4C22×C418yes—
643C24×D4C22×C4116yes—
644C24×D4C22×C418yes—
645C24×D4C22×C418yes—
646C24×D4C22×C418yescomplemented
647C24×D4C22×C418yescomplemented
648C24×D4C22×C4116yescomplemented
649C24×D4C2×D4116yes—
650C24×D4C2×D4116yes—
651C24×D4C2×D4116yes—
652C24×D4C2×D4116yes—
653C24×D4C2×D418yes—
654C24×D4C2×D418yes—
655C24×D4C2×D418yes—
656C24×D4C2×D4116yes—
657C24×D4C2×D4116yes—
658C24×D4C2×D418yes—
659C24×D4C2×D4116yes—
660C24×D4C2×D418yes—
661C24×D4C2×D4116yes—
662C24×D4C2×D418yes—
663C24×D4C2×D418yes—
664C24×D4C2×D418yes—
665C24×D4C2×D4116yes—
666C24×D4#41116yes—
667C24×D4C2411yescharacteristic
668C24×D4C2411yescharacteristic
669C24×D4C2412yes—
670C24×D4C2412yes—
671C24×D4C2411yescharacteristic
672C24×D4C2412yes—
673C24×D4C2411yescharacteristic
674C24×D4C2412yes—
675C24×D4C2411yescharacteristic
676C24×D4C2412yes—
677C24×D4C2411yescharacteristic
678C24×D4C2412yes—
679C24×D4C2411yescharacteristic
680C24×D4C2411yescharacteristic
681C24×D4C2412yes—
682C24×D4C2412yes—
683C24×D4C2412yes—
684C24×D4C2412yes—
685C24×D4C2411yescharacteristic
686C24×D4C2411yescharacteristic
687C24×D4C2411yescharacteristic
688C24×D4C2412yes—
689C24×D4C2411yescharacteristic
690C24×D4C2411yescharacteristic
691C24×D4C2411yescharacteristic
692C24×D4C2412yes—
693C24×D4C2412yes—
694C24×D4C2412yes—
695C24×D4C2412yes—
696C24×D4C2411yescharacteristic
697C24×D4C2411yescharacteristic
698C25×C4C22×C418yes—
699C25×C4C2×D418yes—
700C25×C4C2×D418yes—
701C25×C4C2×D418yescomplemented
702C25×C4C2×D4116yescomplemented
703C25×C4C2412yes—
704C25×C4C2414yes—
705C25×C4C2414yes—
706C25×C4C2414yes—
707C25×C4C2418yes—
708C25×C4C2414yes—
709C25×C4C2414yes—
710C25×C4C2414yes—
711C25×C4C2411yescharacteristic
712C25×C4C2412yes—
713C25×C4C2411yescharacteristic
714C25×C4C2412yes—
715C25×C4C2412yes—
716C25×C4C2411yescharacteristic
717C25×C4C2414yes—
718C25×C4C2412yes—
719C25×C4C2412yes—
720C25×C4C2414yes—
721C25×C4C2412yes—
722C25×C4C2411yescharacteristic
723C25×C4C2412yes—
724C25×C4C2411yescharacteristic
725C22×#127C22×C418yescomplemented
726C22×#127C22×C4116yescomplemented
727C22×#121C22×C418yescomplemented
728C22×#121C22×C418yescomplemented
729C22×#121C22×C4116yescomplemented
730C22×#121C22×C4116yescomplemented
731C22×#121C22×C418yescomplemented
732C22×#121C22×C418yescomplemented
733C22×#121C22×C4116yescomplemented
734C22×#121C22×C4116yescomplemented
735C22×#120C22×C418yes—
736C22×#120C22×C418yes—
737C22×#120C22×C418yes—
738C22×#120C22×C4116yes—
739C22×#120C22×C418yes—
740C22×#120C22×C4116yes—
741C22×#120C22×C4116yes—
742C22×#120C22×C418yes—
743C22×#120C22×C418yes—
744C22×#120C22×C418yes—
745C22×#120C22×C4116yes—
746C22×#120C22×C418yescomplemented
747C22×#120C22×C418yescomplemented
748C22×#120C22×C4116yescomplemented
749C22×#120C22×C418yescomplemented
750C22×#120C22×C4116yescomplemented
751C22×#120C22×C418yescomplemented
752C22×#120C22×C4116yescomplemented
753C22×#120C22×C418yescomplemented
754C22×#120C22×C4116yescomplemented
755C22×#120C22×C4116yescomplemented
756C22×#120C22×C418yescomplemented
757C22×#120C22×C4116yescomplemented
758C22×#120C2×D418yes—
759C22×#120#4118yes—
760C22×C4×D4C22×C418yescomplemented
761C22×C4×D4C22×C418yescomplemented
762C22×C4×D4C22×C4116yescomplemented
763C22×C4×D4C22×C4116yescomplemented
764C23×C4⋊C4C2411yescharacteristic
765C23×C4⋊C4C2411yescharacteristic
766C23×C4⋊C4C2414yes—
767C23×C4⋊C4C2412yes—
768C23×C4⋊C4C2412yes—
769C23×C22⋊C4C22×C418yes—
770C23×C22⋊C4C22×C4116yes—
771C23×C22⋊C4C22×C4116yescomplemented
772C23×C22⋊C4C22×C418yescomplemented
773C23×C22⋊C4C2×D4116yescomplemented
774C23×C22⋊C4C2×D4116yescomplemented
775C23×C22⋊C4C2×D4116yescomplemented
776C23×C22⋊C4C2412yes—
777C23×C22⋊C4C2412yes—
778C23×C22⋊C4C2414yes—
779C23×C22⋊C4C2414yes—
780C23×C22⋊C4C2414yes—
781C23×C22⋊C4C2412yes—
782C23×C22⋊C4C2414yes—
783C23×C22⋊C4C2411yescharacteristic
784C23×C22⋊C4C2412yes—
785C23×C22⋊C4C2411yescharacteristic
786C23×C22⋊C4C2412yes—
787C23×C22⋊C4C2411yescharacteristic
788C23×C22⋊C4C2412yes—
789C23×C22⋊C4C2411yescharacteristic
790C23×C22⋊C4C2412yes—
791C23×C22⋊C4C2411yescharacteristic
792C23×C22⋊C4C2412yes—
793C23×C22⋊C4C2411yescharacteristic
794C23×C22⋊C4C2412yes—
795C23×C22⋊C4C2411yescharacteristic
796C23×C22⋊C4C2411yescharacteristic
797C23×C22⋊C4C2411yescharacteristic
798C23×C22⋊C4C2411yescharacteristic
799C23×C22⋊C4C2411yescharacteristic
800C23×C22⋊C4C2414yes—
801C23×C22⋊C4C2412yes—
802C23×C22⋊C4C2414yes—
803C23×C22⋊C4C2418yes—
804C23×C22⋊C4C2418yes—
805C23×C22⋊C4C2418yes—
806C23×C22⋊C4C2414yes—
807C23×C22⋊C4C2414yes—
808C23×C22⋊C4C2418yes—
809C23×C22⋊C4C2414yes—
810C23×C22⋊C4C2414yes—
811C23×C22⋊C4C2412yes—
812C23×C22⋊C4C2412yes—
813C23×C22⋊C4C2412yes—
814C23×C22⋊C4C2412yes—
815C23×C22⋊C4C2412yes—
816C23×C22⋊C4C2412yes—
817C23×C22⋊C4C2414yes—
818C23×C22⋊C4C2414yes—
819C23×C22⋊C4C2414yes—
820C23×C22⋊C4C2414yes—
821C23×C22⋊C4C2411yescharacteristic
822C23×C22⋊C4C2412yes—
823C23×C22⋊C4C2414yes—
824C23×C22⋊C4C2418yes—
825C23×C22⋊C4C2414yes—
826C23×C22⋊C4C2414yes—
827C23×C22⋊C4C2414yes—
828C23×C22⋊C4C2414yes—
829C23×C22⋊C4C2414yes—
830C23×C22⋊C4C2418yes—
831C23×C22⋊C4C2414yes—
832C23×C22⋊C4C2414yes—
833C23×C22⋊C4C2414yes—
834C23×C22⋊C4C2412yes—
835C23×C22⋊C4C2412yes—
836C23×C22⋊C4C2412yes—
837C23×C22⋊C4C2412yes—
838C23×C22⋊C4C2412yes—
839C23×C22⋊C4C2412yes—
840C23×C22⋊C4C2412yes—
841C23×C22⋊C4C2412yes—
842C23×C22⋊C4C2412yes—
843C23×C22⋊C4C2412yes—
844C23×C22⋊C4C2412yes—
845C23×C22⋊C4C2414yes—
846C23×C22⋊C4C2414yes—
847C23×C22⋊C4C2418yes—
848C23×C22⋊C4C2414yes—
849C23×C22⋊C4C2414yes—
850C23×C22⋊C4C2414yes—
851C23×C42C2411yescharacteristic
852C23×C42C2414yes—
853C23×C42C2412yes—
854C2×#394C22×C4116yescomplemented
855C2×#394C22×C4116yescomplemented
856C2×#394C22×C4116yescomplemented
857C2×#392C22×C4116yescomplemented
858C2×#392C22×C4116yescomplemented
859C2×#392C22×C4116yescomplemented
860C2×#392C22×C4116yescomplemented
861C2×#392C22×C4116yescomplemented
862C2×#392C22×C4116yescomplemented
863C2×#392C22×C4116yescomplemented
864C2×#392C22×C4116yescomplemented
865C2×#392C22×C4116yescomplemented
866C2×#390C22×C4116yescomplemented
867C2×#390C22×C4116yescomplemented
868C2×#390C22×C4116yescomplemented
869C2×#386C22×C4116yescomplemented
870C2×#386C22×C4116yescomplemented
871C2×#386C22×C4116yescomplemented
872C2×#386C22×C4116yescomplemented
873C2×#386C22×C418yescomplemented
874C2×#386C22×C4116yescomplemented
875C2×#386C22×C418yescomplemented
876C2×#386C22×C4116yescomplemented
877C2×#386C22×C4116yescomplemented
878C2×#386C22×C4116yescomplemented
879C2×#386C22×C4116yescomplemented
880C2×#386C22×C418yescomplemented
881C2×#386C2×D4132yes—
882C2×#386C2×D4132yescomplemented
883C2×#386C2×D4132yescomplemented
884C2×#386C2×D4132yescomplemented
885C2×#386C2×D4116yescomplemented
886C2×#386C2×D4132yescomplemented
887C2×#385C22×C4116yescomplemented
888C2×#385C22×C418yescomplemented
889C2×#380C22×C4116yescomplemented
890C2×#380C22×C418yescomplemented
891C2×#379C22×C418yes—
892C2×#379C22×C418yes—
893C2×#379C22×C4116yes—
894C2×#379C22×C4116yes—
895C2×#379C22×C418yes—
896C2×#379C22×C4116yescomplemented
897C2×#379C22×C418yescomplemented
898C2×#379C22×C4116yescomplemented
899C2×#379C22×C418yescomplemented
900C2×#379C2×D418yescomplemented
901C2×C4×C22⋊C4C22×C4116yescomplemented
902C2×C4×C22⋊C4C22×C418yescomplemented
903C22×#95C2×D4116yescomplemented
904C22×#95C2×D4116yescomplemented
905C22×#95C2414yes—
906C22×#95C2414yes—
907C22×#95C2414yes—
908C22×#95C2414yes—
909C22×#95C2414yes—
910C22×#95C2418yes—
911C22×#95C2418yes—
912C22×#95C2414yes—
913C22×#95C2414yes—
914C22×#95C2414yes—
915C22×#95C2418yes—
916C22×#95C2414yes—
917C22×#95C2414yes—
918C22×#95C2418yes—
919C22×#95C2412yes—
920C22×#95C2412yes—
921C22×#95C2412yes—
922C22×#95C2412yes—
923C22×#95C2412yes—
924C22×#95C2412yes—
925C22×#95C2414yes—
926C22×#95C2414yes—
927C22×#95C2414yes—
928C22×#95C2414yes—
929C22×#95C2414yes—
930C22×#95C2418yes—
931C22×#95C2418yes—
932C22×#95C2414yes—
933C22×#95C2418yes—
934C22×#95C2418yes—
935C22×#95C2414yes—
936C22×#95C2414yes—
937C22×#95C2414yes—
938C22×#95C2414yes—
939C22×#95C2414yes—
940C22×#95C2414yes—
941C22×#95C2418yes—
942C22×#95C2418yes—
943C22×#95C2414yes—
944C22×#95C2414yes—
945C22×#95C2418yes—
946C22×#95C2414yes—
947C22×#95C2414yes—
948C22×#95C2418yes—
949C22×#95C2418yes—
950C22×#95C2418yes—
951C22×#95C2418yes—
952C22×#95C2418yes—
953C22×#95C2418yes—
954C22×#95C2418yes—
955C22×#95C2418yes—
956C22×#95C2418yes—
957C22⋊#95C2×D4132yescomplemented
958C22⋊#95C2×D4116yescomplemented
959C26C2×C22⋊C4164yes—
960C26C2×C22⋊C4164yescomplemented
961C26C23×C414yes—
962C26C23×C418yes—
963C26C23×C414yes—
964C26C23×C414yes—
965C26C23×C418yes—
966C26C23×C418yes—
967C26C23×C414yes—
968C26C23×C418yes—
969C26C23×C414yes—
970C26C23×C414yes—
971C26C23×C414yescomplemented
972C26C22×D414yes—
973C26C22×D414yes—
974C26C22×D414yes—
975C26C22×D418yes—
976C26C22×D414yes—
977C26C22×D418yes—
978C26C22×D414yes—
979C26C22×D418yes—
980C26C22×D418yes—
981C26C22×D418yes—
982C26C22×D418yes—
983C26C22×D414yes—
984C26C22×D414yes—
985C26C22×D418yes—
986C26C22×D418yes—
987C26C22×D418yes—
988C26C22×D414yes—
989C26C22×D414yes—
990C26C22×D414yes—
991C26C22×D414yes—
992C26C22×D418yes—
993C26C2×#4114yes—
994C26C2×#4118yes—
995C26C2×#4118yes—
996C26H(5,𝔽2)14yes—
997C26H(5,𝔽2)14yes—
998C26H(5,𝔽2)116yes—
999C26H(5,𝔽2)116yes—
1000C26C2511yescharacteristic
1001C26C2511yescharacteristic
1002C26C2512yes—
1003C26C2511yescharacteristic
1004C26C2511yescharacteristic
1005C26C2511yescharacteristic
1006C26C2511yescharacteristic
1007C26C2512yes—
1008C26C2511yescharacteristic
1009C26C2511yescharacteristic
1010C26C2512yes—
1011C23×D4C2×C22⋊C41128yes—
1012C23×D4C2×C22⋊C41128yes—
1013C23×D4C2×C22⋊C4164yes—
1014C23×D4C2×C22⋊C4164yes—
1015C23×D4C2×C22⋊C41128yescomplemented
1016C23×D4C2×C22⋊C4164yescomplemented
1017C23×D4C2×C22⋊C41128yescomplemented
1018C23×D4C2×C22⋊C4164yescomplemented
1019C23×D4C4×D41128yes—
1020C23×D4#120164yes—
1021C23×D4#1211128yes—
1022C23×D4#123164yes—
1023C23×D4C23×C414yes—
1024C23×D4C23×C418yes—
1025C23×D4C23×C414yes—
1026C23×D4C23×C418yes—
1027C23×D4C23×C414yes—
1028C23×D4C23×C418yes—
1029C23×D4C23×C414yes—
1030C23×D4C23×C418yes—
1031C23×D4C23×C414yes—
1032C23×D4C23×C418yes—
1033C23×D4C23×C414yes—
1034C23×D4C23×C418yes—
1035C23×D4C23×C418yes—
1036C23×D4C23×C418yes—
1037C23×D4C23×C418yes—
1038C23×D4C23×C418yes—
1039C23×D4C23×C414yes—
1040C23×D4C23×C414yes—
1041C23×D4C23×C414yes—
1042C23×D4C23×C418yes—
1043C23×D4C23×C418yes—
1044C23×D4C23×C414yes—
1045C23×D4C23×C414yes—
1046C23×D4C23×C414yescomplemented
1047C23×D4C23×C414yescomplemented
1048C23×D4C23×C414yescomplemented
1049C23×D4C23×C414yescomplemented
1050C23×D4C23×C414yescomplemented
1051C23×D4C23×C418yescomplemented
1052C23×D4C23×C418yescomplemented
1053C23×D4C23×C418yescomplemented
1054C23×D4C22×D418yes—
1055C23×D4C22×D418yes—
1056C23×D4C22×D414yes—
1057C23×D4C22×D418yes—
1058C23×D4C22×D418yes—
1059C23×D4C22×D418yes—
1060C23×D4C22×D418yes—
1061C23×D4C22×D418yes—
1062C23×D4C22×D418yes—
1063C23×D4C22×D418yes—
1064C23×D4C22×D418yes—
1065C23×D4C22×D418yes—
1066C23×D4C22×D414yes—
1067C23×D4C22×D414yes—
1068C23×D4C22×D414yes—
1069C23×D4C22×D414yes—
1070C23×D4C22×D418yes—
1071C23×D4C22×D418yes—
1072C23×D4C22×D418yes—
1073C23×D4C22×D418yes—
1074C23×D4C22×D414yes—
1075C23×D4C22×D414yes—
1076C23×D4C22×D414yes—
1077C23×D4C22×D414yes—
1078C23×D4C22×D418yes—
1079C23×D4C22×D418yes—
1080C23×D4C2×#4114yes—
1081C23×D4C2×#4118yes—
1082C23×D4C2×#4118yes—
1083C23×D4C2×#4118yes—
1084C23×D4C2×#4118yes—
1085C23×D4C2×#4118yes—
1086C24×C4C2×C22⋊C4164yescomplemented
1087C24×C4C23×C414yes—
1088C24×C4C23×C418yes—
1089C24×C4C23×C418yes—
1090C24×C4C23×C418yes—
1091C24×C4C23×C414yes—
1092C24×C4C23×C414yes—
1093C24×C4C23×C414yescomplemented
1094C24×C4C23×C414yescomplemented
1095C24×C4C23×C418yescomplemented
1096C24×C4C22×D4116yes—
1097C24×C4C22×D418yes—
1098C24×C4C22×D4116yes—
1099C24×C4C22×D418yes—
1100C24×C4C22×D418yes—
1101C24×C4C22×D418yes—
1102C24×C4C22×D418yes—
1103C24×C4C22×D4116yes—
1104C24×C4C22×D418yes—
1105C24×C4C22×D418yes—
1106C24×C4C22×D414yes—
1107C24×C4C22×D414yes—
1108C24×C4C22×D418yes—
1109C24×C4C22×D418yes—
1110C24×C4C22×D414yes—
1111C24×C4C22×D414yes—
1112C24×C4C22×D418yes—
1113C24×C4C2×#4118yes—
1114C24×C4H(5,𝔽2)116yes—
1115C24×C4H(5,𝔽2)18yes—
1116C24×C4C2514yes—
1117C24×C4C2514yes—
1118C24×C4C2514yes—
1119C24×C4C2511yescharacteristic
1120C24×C4C2511yescharacteristic
1121C24×C4C2511yescharacteristic
1122C24×C4C2512yes—
1123C24×C4C2512yes—
1124C24×C4C2511yescharacteristic
1125C24×C4C2512yes—
1126C24×C4C2514yes—
1127C24×C4C2514yes—
1128C24×C4C2514yes—
1129C24×C4C2512yes—
1130C24×C4C2511yescharacteristic
1131C24×C4C2512yes—
1132C24×C4C2514yes—
1133C24×C4C2514yes—
1134C24×C4C2511yescharacteristic
1135C24×C4C2511yescharacteristic
1136C2×#120C4×D4164yescomplemented
1137C22×C4⋊C4C23×C414yescomplemented
1138C22×C4⋊C4C23×C414yescomplemented
1139C22×C4⋊C4C23×C418yescomplemented
1140C22×C4⋊C4C23×C418yescomplemented
1141C22×C22⋊C4C23×C414yes—
1142C22×C22⋊C4C23×C418yes—
1143C22×C22⋊C4C23×C414yes—
1144C22×C22⋊C4C23×C418yes—
1145C22×C22⋊C4C23×C414yes—
1146C22×C22⋊C4C23×C418yes—
1147C22×C22⋊C4C23×C414yes—
1148C22×C22⋊C4C23×C418yes—
1149C22×C22⋊C4C23×C414yes—
1150C22×C22⋊C4C23×C418yes—
1151C22×C22⋊C4C23×C414yes—
1152C22×C22⋊C4C23×C418yes—
1153C22×C22⋊C4C23×C418yes—
1154C22×C22⋊C4C23×C418yes—
1155C22×C22⋊C4C23×C418yes—
1156C22×C22⋊C4C23×C414yes—
1157C22×C22⋊C4C23×C418yes—
1158C22×C22⋊C4C23×C418yes—
1159C22×C22⋊C4C23×C418yes—
1160C22×C22⋊C4C23×C418yes—
1161C22×C22⋊C4C23×C414yescomplemented
1162C22×C22⋊C4C23×C414yescomplemented
1163C22×C22⋊C4C23×C414yescomplemented
1164C22×C22⋊C4C23×C414yescomplemented
1165C22×C22⋊C4C23×C414yescomplemented
1166C22×C22⋊C4C23×C418yescomplemented
1167C22×C22⋊C4C23×C418yescomplemented
1168C22×C22⋊C4C23×C418yescomplemented
1169C22×C22⋊C4C23×C418yescomplemented
1170C22×C22⋊C4C23×C418yescomplemented
1171C22×C22⋊C4C23×C418yescomplemented
1172C22×C22⋊C4C23×C418yescomplemented
1173C22×C22⋊C4C23×C418yescomplemented
1174C22×C22⋊C4C23×C418yescomplemented
1175C22×C22⋊C4C23×C418yescomplemented
1176C22×C22⋊C4C23×C418yescomplemented
1177C22×C22⋊C4C22×D4116yes—
1178C22×C22⋊C4C22×D418yes—
1179C22×C22⋊C4C22×D4116yes—
1180C22×C22⋊C4C22×D4116yes—
1181C22×C22⋊C4C22×D4116yes—
1182C22×C22⋊C4C22×D4116yes—
1183C22×C22⋊C4C22×D4116yes—
1184C22×C22⋊C4C22×D414yes—
1185C22×C22⋊C4C22×D418yes—
1186C22×C22⋊C4C22×D4116yes—
1187C22×C22⋊C4C22×D4116yescomplemented
1188C22×C22⋊C4C2×#4114yes—
1189C22×C22⋊C4C2×#4118yes—
1190C22×C42C23×C414yescomplemented
1191C22×C42C23×C418yescomplemented
1192C2×#95C23×C418yescomplemented
1193C2×#95C23×C418yescomplemented
1194C2×#95C23×C418yescomplemented
1195C2×#95C23×C418yescomplemented
1196C2×#95C23×C418yescomplemented
1197C2×#95C23×C418yescomplemented
1198C2×#95C22×D4116yes—
1199C2×#95C22×D4116yes—
1200C2×#95C22×D4116yes—
1201C2×#95C22×D4116yes—
1202C2×#95C22×D4116yescomplemented
1203C2×#95C22×D4132yescomplemented
1204C25C22×C22⋊C4116yes—
1205C25C22×C22⋊C4132yes—
1206C25C22×C22⋊C4116yes—
1207C25C22×C22⋊C4132yes—
1208C25C22×C22⋊C4132yes—
1209C25C22×C22⋊C4132yes—
1210C25C22×C22⋊C4116yes—
1211C25C22×C22⋊C4116yes—
1212C25C22×C22⋊C4116yes—
1213C25C2×C4×D4116yes—
1214C25C2×C4×D4132yes—
1215C25C2×C4×D4132yes—
1216C25#518116yes—
1217C25#518164yes—
1218C25C2×#120116yes—
1219C25C2×#120116yes—
1220C25C2×#121132yes—
1221C25C2×#121132yes—
1222C25C2×#123116yes—
1223C25C2×#123116yes—
1224C25#534132yes—
1225C25#534164yes—
1226C25#534132yes—
1227C25D42116yes—
1228C25D42116yes—
1229C25#546116yes—
1230C25#546116yes—
1231C25C24×C412yes—
1232C25C24×C412yes—
1233C25C24×C414yes—
1234C25C24×C412yes—
1235C25C24×C412yes—
1236C25C24×C412yes—
1237C25C24×C412yes—
1238C25C24×C414yes—
1239C25C24×C412yes—
1240C25C24×C412yes—
1241C25C24×C414yes—
1242C25C23×D414yes—
1243C25C23×D414yes—
1244C25C23×D412yes—
1245C25C23×D412yes—
1246C25C23×D412yes—
1247C25C23×D412yes—
1248C25C23×D412yes—
1249C25C23×D412yes—
1250C25C23×D412yes—
1251C25C23×D414yes—
1252C25C23×D414yes—
1253C25C23×D414yes—
1254C25C23×D414yes—
1255C25C23×D414yes—
1256C25C23×D412yes—
1257C25C23×D412yes—
1258C25C23×D412yes—
1259C25C23×D412yes—
1260C25C23×D414yes—
1261C25C23×D414yes—
1262C25C23×D414yes—
1263C25C23×D414yes—
1264C25C23×D412yes—
1265C25C23×D414yes—
1266C25C22×#4112yes—
1267C25C22×#4114yes—
1268C25C22×#4114yes—
1269C25C22×#4114yes—
1270C25C22×#4114yes—
1271C25C22×#4114yes—
1272C25C22×#4112yes—
1273C25C22×#4114yes—
1274C25C2×H(5,𝔽2)18yes—
1275C25C2×H(5,𝔽2)18yes—
1276C25C2×H(5,𝔽2)18yes—
1277C25C2×H(5,𝔽2)18yes—
1278C25C2×H(5,𝔽2)18yes—
1279C25C2×H(5,𝔽2)18yes—
1280C25C2×H(5,𝔽2)12yes—
1281C25C2×H(5,𝔽2)12yes—
1282C25C2×H(5,𝔽2)14yes—
1283C25C2×H(5,𝔽2)14yes—
1284C25C2×H(5,𝔽2)14yes—
1285C25C2×H(5,𝔽2)18yes—
1286C25#58514yes—
1287C25#58518yes—
1288C25C2611yescharacteristic
1289C22×D4#3861512yescomplemented
1290C22×D4C22×C22⋊C4132yes—
1291C22×D4C22×C22⋊C4132yes—
1292C22×D4C22×C22⋊C4132yes—
1293C22×D4C22×C22⋊C4132yes—
1294C22×D4C22×C22⋊C4132yes—
1295C22×D4C22×C22⋊C4116yes—
1296C22×D4C22×C22⋊C4116yes—
1297C22×D4C22×C22⋊C4132yes—
1298C22×D4C22×C22⋊C4116yes—
1299C22×D4C22×C22⋊C4116yes—
1300C22×D4C2×C4×D4116yes—
1301C22×D4C2×C4×D4132yes—
1302C22×D4C2×C4×D4132yes—
1303C22×D4C2×C4×D4132yes—
1304C22×D4C2×C4×D4132yes—
1305C22×D4C2×C4×D4132yes—
1306C22×D4C2×#120116yes—
1307C22×D4C2×#120116yes—
1308C22×D4C2×#120116yes—
1309C22×D4C2×#120116yes—
1310C22×D4C2×#121132yes—
1311C22×D4C2×#121132yes—
1312C22×D4C2×#121132yes—
1313C22×D4C2×#121132yes—
1314C22×D4C2×#123116yes—
1315C22×D4C2×#123116yes—
1316C22×D4C2×#123116yes—
1317C22×D4C2×#123116yes—
1318C23×C4C22×C22⋊C4132yes—
1319C23×C4C22×C22⋊C4132yes—
1320C23×C4C22×C22⋊C4116yes—
1321C23×C4C22×C22⋊C4116yes—
1322C23×C4C2×C4×D4132yes—
1323C23×C4C2×#120116yes—
1324C23×C4C2×#121132yes—
1325C23×C4C2×#123116yes—
1326C23×C4D42132yescomplemented
1327C23×C4C24×C412yes—
1328C23×C4C24×C414yes—
1329C23×C4C24×C412yes—
1330C23×C4C24×C412yes—
1331C23×C4C24×C414yes—
1332C23×C4C24×C412yes—
1333C23×C4C24×C414yes—
1334C23×C4C24×C414yes—
1335C23×C4C24×C412yes—
1336C23×C4C24×C414yes—
1337C23×C4C24×C412yes—
1338C23×C4C24×C412yes—
1339C23×C4C23×D418yes—
1340C23×C4C23×D418yes—
1341C23×C4C23×D418yes—
1342C23×C4C23×D414yes—
1343C23×C4C23×D414yes—
1344C23×C4C23×D414yes—
1345C23×C4C23×D412yes—
1346C23×C4C23×D418yes—
1347C23×C4C23×D418yes—
1348C23×C4C23×D418yes—
1349C23×C4C23×D412yes—
1350C23×C4C23×D412yes—
1351C23×C4C23×D412yes—
1352C23×C4C23×D412yes—
1353C23×C4C23×D414yes—
1354C23×C4C23×D414yes—
1355C23×C4C22×#4114yes—
1356C23×C4C22×#4112yes—
1357C23×C4C22×#4114yes—
1358C23×C4C22×#4114yes—
1359C23×C4C2×H(5,𝔽2)18yes—
1360C23×C4C2×H(5,𝔽2)116yes—
1361C2×C22⋊C4C2×C4×D4116yes—
1362C2×C22⋊C4C2×C4×D4132yes—
1363C24C2×#386164yes—
1364C24C2×#386164yescomplemented
1365C24#23081128yescomplemented
1366C24D4×C22⋊C4164yes—
1367C24C23×C22⋊C418yes—
1368C24C23×C22⋊C414yes—
1369C24C23×C22⋊C414yes—
1370C24C23×C22⋊C414yes—
1371C24C23×C22⋊C418yes—
1372C24C23×C22⋊C414yes—
1373C24C23×C22⋊C418yes—
1374C24C23×C22⋊C414yes—
1375C24C22×C4×D414yes—
1376C24C22×C4×D418yes—
1377C24C22×C4×D418yes—
1378C24C22×C4×D418yes—
1379C24C22×C4×D414yes—
1380C24C22×C4×D418yes—
1381C24C22×C4×D418yes—
1382C24C22×C4×D418yes—
1383C24C2×#518116yes—
1384C24C2×#51818yes—
1385C24C2×#51814yes—
1386C24C2×#518116yes—
1387C24C2×#518116yes—
1388C24C4×H(5,𝔽2)18yes—
1389C24C4×H(5,𝔽2)116yes—
1390C24C22×#12014yes—
1391C24C22×#12014yes—
1392C24C22×#12014yes—
1393C24C22×#12014yes—
1394C24C22×#12014yes—
1395C24C22×#12118yes—
1396C24C22×#12118yes—
1397C24C22×#12118yes—
1398C24C22×#12118yes—
1399C24C22×#12118yes—
1400C24C22×#12314yes—
1401C24C22×#12314yes—
1402C24C22×#12314yes—
1403C24C22×#12314yes—
1404C24C22×#12314yes—
1405C24C2×#53418yes—
1406C24C2×#534116yes—
1407C24C2×#53418yes—
1408C24C2×#53418yes—
1409C24C2×#53418yes—
1410C24C2×#534116yes—
1411C24C2×#53418yes—
1412C24C2×#53418yes—
1413C24C2×#534116yes—
1414C24C2×D4218yes—
1415C24C2×D4218yes—
1416C24C2×D4214yes—
1417C24C2×D4214yes—
1418C24C2×D4218yes—
1419C24C2×#54614yes—
1420C24C2×#54614yes—
1421C24C2×#54618yes—
1422C24C2×#54618yes—
1423C24D4×#4118yes—
1424C24D4×#4118yes—
1425C24#348118yes—
1426C24#3484116yes—
1427C24#348418yes—
1428C24#348418yes—
1429C24#348414yes—
1430C24#3484116yes—
1431C24#3484116yes—
1432C24#348518yes—
1433C24#348514yes—
1434C24#3488116yes—
1435C24#348818yes—
1436C24#3490132yes—
1437C24#3496116yes—
1438C24#349618yes—
1439C24#351318yes—
1440C24#3513116yes—
1441C24#3519116yes—
1442C24#351918yes—
1443C24#3532116yes—
1444C24#3534116yes—
1445C24#3534116yes—
1446C24#3537116yes—
1447C24C25×C411yescharacteristic
1448C24C24×D412yes—
1449C24C24×D411yescharacteristic
1450C24C24×D411yescharacteristic
1451C24C24×D411yescharacteristic
1452C24C23×#4112yes—
1453C24C23×#4111yescharacteristic
1454C24C22×H(5,𝔽2)11yescharacteristic
1455C24C22×H(5,𝔽2)11yescharacteristic
1456C24C22×H(5,𝔽2)14yes—
1457C24C22×H(5,𝔽2)14yes—
1458C24C22×H(5,𝔽2)14yes—
1459C24C22×H(5,𝔽2)12yes—
1460C24C2×#58514yes—
1461C24C2×#58512yes—
1462C2×D4C2×#386164yes—
1463C2×D4C2×#386164yes—
1464C2×D4C2×#386164yescomplemented
1465C2×D4C2×#386164yescomplemented
1466C22×C4C2×#386164yescomplemented
1467C22×C4C23×C22⋊C418yes—
1468C22×C4C23×C22⋊C414yes—
1469C22×C4C23×C22⋊C414yes—
1470C22×C4C22×C4×D418yes—
1471C22×C4C22×C4×D414yes—
1472C22×C4C22×C4×D418yes—
1473C22×C4C22×C4×D418yes—
1474C22×C4C22×#12014yes—
1475C22×C4C22×#12014yes—
1476C22×C4C22×#12118yes—
1477C22×C4C22×#12118yes—
1478C22×C4C22×#12314yes—
1479C22×C4C22×#12314yes—
1480C22×C4C2×D42116yes—
1481C22×C4#3484116yes—
1482C23C22×#38618yes—
1483C23C22×#38618yes—
1484C23C22×#38618yes—
1485C23C22×#38618yes—
1486C23C22×#38618yes—
1487C23C2×#2308116yes—
1488C23C2×#2308116yes—
1489C23C2×#2308116yes—
1490C23C2×D4×C22⋊C418yes—
1491C23C2×D4×C22⋊C4116yes—
1492C23C4×D42116yes—
1493C23#34198132yes—
1494C23#3425618yes—
1495C23#34256116yes—
1496C23#34290116yes—
1497C23#34290132yes—
1498C23#34468132yes—
1499C23#3498018yes—
1500C23#3498018yes—
1501C23#34981132yes—
1502C23#34992116yes—
1503C23D4×#12018yes—
1504C23D4×#121116yes—
1505C23D4×#12318yes—
1506C23#3621218yes—
1507C23#36214116yes—
1508C23#3623618yes—
1509C23#37644116yes—
1510C23#37646116yes—
1511C23#37672132yes—
1512C23#38020116yes—
1513C23#38022116yes—
1514C23#38076132yes—
1515C23C24×C22⋊C411yescharacteristic
1516C23C23×C4×D412yes—
1517C23C23×C4×D411yescharacteristic
1518C23C22×#51814yes—
1519C23C22×#51811yescharacteristic
1520C23C2×C4×H(5,𝔽2)12yes—
1521C23C2×C4×H(5,𝔽2)14yes—
1522C23C23×#12011yescharacteristic
1523C23C23×#12112yes—
1524C23C23×#12311yescharacteristic
1525C23C22×#53412yes—
1526C23C22×#53412yes—
1527C23C22×#53414yes—
1528C23C22×D4211yescharacteristic
1529C23C22×D4212yes—
1530C23C22×D4211yescharacteristic
1531C23C22×#54611yescharacteristic
1532C23C22×#54611yescharacteristic
1533C23C2×D4×#4112yes—
1534C23C2×D4×#4112yes—
1535C23C2×#348112yes—
1536C23C2×#353214yes—
1537C23C2×#353414yes—
1538C23C2×#353414yes—
1539C23C2×#353714yes—
1540C23C2×#348412yes—
1541C23C2×#348414yes—
1542C23C2×#348414yes—
1543C23C2×#348411yescharacteristic
1544C23C2×#348412yes—
1545C23C2×#348414yes—
1546C23C2×#348414yes—
1547C23C2×#349612yes—
1548C23C2×#349614yes—
1549C23C2×#349018yes—
1550C23C2×#351312yes—
1551C23C2×#351314yes—
1552C23C2×#351912yes—
1553C23C2×#351914yes—
1554C23#6277318yes—
1555C23C2×#348512yes—
1556C23C2×#348511yescharacteristic
1557C23C2×#348814yes—
1558C23C2×#348812yes—
1559C23#6281114yes—
1560C23#6281718yes—
1561C23#6281818yes—
1562C23#6281818yes—
1563C23#6282018yes—
1564C2×C4C22×#38618yes—
1565C2×C4C22×#38618yes—
1566C22#516383116yescomplemented
1567C22D4×#386116yes—
1568C22#524461132yescomplemented
1569C22C23×#38611yescharacteristic
1570C22C22×#230812yes—
1571C22C22×D4×C22⋊C411yescharacteristic
1572C22C2×C4×D4212yes—
1573C22C2×#3425612yes—
1574C22C2×#3425611yescharacteristic
1575C22C2×#3419814yes—
1576C22C2×#3429014yes—
1577C22C2×#3429012yes—
1578C22C4×#348414yes—
1579C22C2×#3446814yes—
1580C22#762624318yes—
1581C22C2×#3498011yescharacteristic
1582C22C2×#3498011yescharacteristic
1583C22C2×#3498114yes—
1584C22C2×#3499212yes—
1585C22C2×D4×#12011yescharacteristic
1586C22C2×D4×#12112yes—
1587C22C2×D4×#12311yescharacteristic
1588C22C2×#3621211yescharacteristic
1589C22C2×#3621412yes—
1590C22C2×#3623611yescharacteristic
1591C22#763093911yescharacteristic
1592C22#763094014yes—
1593C22#763094212yes—
1594C22#763103211yescharacteristic
1595C22C2×#3764412yes—
1596C22C2×#3767214yes—
1597C22C2×#3764612yes—
1598C22C2×#3802012yes—
1599C22C2×#3807614yes—
1600C22C2×#3802212yes—
1601C22#764224412yes—
1602C22#764224518yes—
1603C22#764225712yes—
1604C22#764225712yes—
1605C22#764247912yes—
1606C22#767020314yes—
1607C22#767021618yes—
1608C22#767021914yes—
1609C22#767022014yes—
1610C22#767044418yes—
1611C22#767187014yes—
1612C22#770834914yes—
1613C22#770836018yes—
1614C22#770861914yes—
1615C22#770863618yes—
1616C22#770871014yes—
1617C22#771115914yes—
1618C2#7223230311yescharacteristic
1619C2C2×#51638311yescharacteristic
1620C2#7223709911yescharacteristic
1621C2#7225658411yescharacteristic
1622C2C2×D4×#38611yescharacteristic
1623C2C2×#52446112yes—
1624C2#7232626112yes—
1625C2#7232975514yes—
1626C2#7232975614yes—
1627C2#7232981414yes—
1628C2#7232981514yes—
1629C2#7233002512yes—
1630C2#7233010512yes—
1631C2#7233013411yescharacteristic
1632C2#7233019811yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC25C26
commutatorC24C25×C4
prime radicalC22×D4×#120C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72330555C2semidirect
2. #72330527C2semidirect
3. #72330484C2semidirect
4. #72330479C2semidirect
5. #72330476C2semidirect
6. #72330464C2semidirect
7. #72330457C2semidirect
8. #72330409C2semidirect
9. #72330407C2semidirect
10. #72330396C2semidirect
11. #72330393C2semidirect
12. #72330334C2semidirect
13. #72330313C2semidirect
14. #72330307C2semidirect
15. #72330296C2semidirect
16. #72330291C2semidirect
17. #72330274C2semidirect
18. #72330051C2semidirect
19. C2×#524461C2semidirect
20. #72298498C2semidirect
21. C24×#386C2semidirect
22. #72287884C2semidirect
23. #72286433C2semidirect
24. #72286413C2semidirect
25. #72286413C2semidirect
26. #72286409C2semidirect
27. #72286409C2semidirect
28. C2×D4×#379C2semidirect
29. C22×#14694C2semidirect
30. C2×#516383C2semidirect
33. C27×C4C22semidirect
38. C25×C22⋊C4C22semidirect
39. C25×C22⋊C4C22semidirect
40. C25×C22⋊C4C22semidirect
44. C2×D4×#120C4semidirect
60. C22×D4×C22⋊C4C22semidirect
61. C22×#2308C22semidirect
65. C23×#386C22semidirect
66. C23×#386C22semidirect
67. C23×#386C22semidirect
68. C23×#386C22semidirect
69. C23×#386C22semidirect
70. C23×#386C22semidirect
71. C23×#386C22semidirect
72. C23×#386C22semidirect
73. C23×#379C22semidirect
74. C23×#379C22semidirect
75. C24×#95C22semidirect
76. C24×#95C22semidirect
81. C2×#14694C22semidirect
82. C2×#14694C22semidirect
83. C2×#14694C22semidirect
84. C2×#14694C22semidirect
85. C2×#14694C22semidirect
86. C2×#14694C22semidirect
87. C2×#14694C22semidirect
88. C2×#14694C22semidirect
89. C2×#14694C22semidirect
90. C2×#14694C22semidirect
91. C2×#14694C22semidirect
92. C2×#14694C22semidirect
93. C2×#14694C22semidirect
94. C2×#14694C22semidirect
95. C2×#14694C22semidirect
96. C2×#14694C22semidirect
97. C2×#14680C22semidirect
98. C2×#14679C22semidirect
99. C2×#14679C22semidirect
100. C2×#14419C22semidirect
101. C2×#14417C22semidirect
102. C2×#14363C22semidirect
103. C2×#14357C22semidirect
104. C2×#14271C22semidirect
105. C2×#14255C22semidirect
106. C2×#14255C22semidirect
107. C2×#14255C22semidirect
108. C2×#14255C22semidirect
109. C2×#14152C22semidirect
110. C2×#14134C22semidirect
111. C2×#14134C22semidirect
112. C2×#14134C22semidirect
113. C2×#14134C22semidirect
114. C2×#14134C22semidirect
115. C2×#14134C22semidirect
116. C2×#14023C22semidirect
117. C2×#13967C22semidirect
118. C2×#13960C22semidirect
119. C2×#13902C22semidirect
120. C2×#13902C22semidirect
121. C2×#13894C22semidirect
122. C2×#13869C22semidirect
124. C2×#13867C22semidirect
125. C2×#13867C22semidirect
126. C2×#13867C22semidirect
127. C2×#13867C22semidirect
128. C2×#13867C22semidirect
129. C2×#13867C22semidirect
130. C2×#13867C22semidirect
131. C2×#13867C22semidirect
132. C2×#13867C22semidirect
133. C2×#13794C22semidirect
134. C2×#13784C22semidirect
135. C2×C4×#379C22semidirect
136. C22×C22⋊#95C22semidirect
137. C22×C22⋊#95C22semidirect
138. #155995C22semidirect
139. #155875C22semidirect
140. #155875C22semidirect
141. #155875C22semidirect
142. #155068C22semidirect
143. #155067C22semidirect
144. #155066C22semidirect
145. #155066C22semidirect
146. #155066C22semidirect
147. #155065C22semidirect
148. #155065C22semidirect
149. #155065C22semidirect
150. #154775C22semidirect
151. #154773C22semidirect
152. #154763C22semidirect
153. #154704C22semidirect
154. #154700C22semidirect
155. #154674C22semidirect
156. #154674C22semidirect
157. #154670C22semidirect
158. #154356C22semidirect
159. #154345C22semidirect
160. #154345C22semidirect
161. #154345C22semidirect
162. #154275C22semidirect
163. #154260C22semidirect
164. #154255C22semidirect
165. #154255C22semidirect
166. #154255C22semidirect
167. #154214C22semidirect
168. #154206C22semidirect
169. #154206C22semidirect
170. #154206C22semidirect
171. #154200C22semidirect
172. #154200C22semidirect
173. #154200C22semidirect
174. #154200C22semidirect
175. #154200C22semidirect
176. #154200C22semidirect
177. #154197C22semidirect
178. #154197C22semidirect
179. #154195C22semidirect
180. #154195C22semidirect
181. #154195C22semidirect
182. #154195C22semidirect
183. #154195C22semidirect
184. #154195C22semidirect
185. #154195C22semidirect
186. #154195C22semidirect
187. #154195C22semidirect
188. #154195C22semidirect
189. #154195C22semidirect
190. #154195C22semidirect
191. #154195C22semidirect
192. #154195C22semidirect
193. #154195C22semidirect
194. #154077C22semidirect
195. #154077C22semidirect
196. #154077C22semidirect
197. #154077C22semidirect
198. #154077C22semidirect
199. #154077C22semidirect
200. #154077C22semidirect
201. #154077C22semidirect
202. #154037C22semidirect
203. #154037C22semidirect
204. #153938C22semidirect
205. #153931C22semidirect
206. #153931C22semidirect
207. #153908C22semidirect
208. #153905C22semidirect
209. #153905C22semidirect
210. #153905C22semidirect
211. #153860C22semidirect
212. #153860C22semidirect
213. #153851C22semidirect
214. #153851C22semidirect
215. #153851C22semidirect
216. #153851C22semidirect
217. #153851C22semidirect
218. #153851C22semidirect
219. #153851C22semidirect
220. #153851C22semidirect
221. #153828C22semidirect
222. #153828C22semidirect
223. #153827C22semidirect
224. #153827C22semidirect
225. #153827C22semidirect
226. #153827C22semidirect
227. #153780C22semidirect
228. #153775C22semidirect
229. #153775C22semidirect
230. #153775C22semidirect
231. #153717C22semidirect
259. C22×D42C2×C4semidirect
260. C22×D42C2×C4semidirect
271. C23×#120C2×C4semidirect
272. C23×#120C2×C4semidirect
321. C24×C22⋊C4C23semidirect
322. C2×#2847C2×C4semidirect
323. C2×#2846C2×C4semidirect
324. C2×#2846C2×C4semidirect
325. C2×#2433C2×C4semidirect
326. C2×#2433C2×C4semidirect
327. C2×#2408C2×C4semidirect
328. C2×#2408C2×C4semidirect
329. C2×#2410C2×C4semidirect
330. C2×#2410C2×C4semidirect
331. C2×#2410C2×C4semidirect
332. C2×#2410C2×C4semidirect
333. C2×#2403C2×C4semidirect
334. C2×#2403C2×C4semidirect
335. C2×#2403C2×C4semidirect
336. C2×#2403C2×C4semidirect
349. C2×D4×C22⋊C4C2×C4semidirect
350. C2×D4×C22⋊C4C2×C4semidirect
351. C2×C4×#120C2×C4semidirect
357. C22×#386D4semidirect
408. C22×#386C23semidirect
409. C22×#386C23semidirect
410. C22×#386C23semidirect
411. C22×#386C23semidirect
412. C22×#386C23semidirect
413. C22×#386C23semidirect
414. C22×#386C23semidirect
415. C22×#386C23semidirect
416. C22×#386C23semidirect
417. C22×#386C23semidirect
418. C22×#386C23semidirect
421. C22×#381C23semidirect
451. C22×#379C23semidirect
452. C22×#379C23semidirect
453. C22×#379C23semidirect
466. C23×#95C23semidirect
467. C23×#95C23semidirect
468. #14694D4semidirect
469. C2×#1445C23semidirect
470. C2×#1445C23semidirect
471. C2×#1441C23semidirect
472. C2×#1440C23semidirect
473. C2×#1440C23semidirect
474. C2×#1440C23semidirect
475. C2×#1440C23semidirect
476. C2×#1440C23semidirect
477. C2×#1440C23semidirect
478. C2×#1440C23semidirect
479. C2×#1440C23semidirect
480. C2×#1440C23semidirect
481. C2×#1439C23semidirect
482. C2×#1439C23semidirect
483. C2×#1439C23semidirect
487. C2×#1438C23semidirect
488. C2×#1438C23semidirect
489. C2×#1438C23semidirect
490. C2×#1438C23semidirect
491. C2×#1438C23semidirect
492. C2×#1438C23semidirect
493. C2×#1438C23semidirect
494. C2×#1438C23semidirect
495. C2×#1438C23semidirect
496. C2×#1438C23semidirect
497. C2×#1438C23semidirect
498. C2×#1438C23semidirect
499. C2×#1438C23semidirect
500. C2×#1438C23semidirect
501. C2×#1438C23semidirect
502. C2×#1438C23semidirect
503. C2×#1438C23semidirect
504. C2×#1438C23semidirect
505. C2×#1438C23semidirect
506. C2×#1437C23semidirect
507. C2×#1437C23semidirect
508. C2×#1437C23semidirect
509. C2×#1436C23semidirect
510. C2×#1434C23semidirect
511. C2×#1434C23semidirect
556. C2×C22⋊#95C23semidirect
557. C2×C22⋊#95C23semidirect
558. C2×C22⋊#95C23semidirect
559. C2×C22⋊#95C23semidirect
560. C2×C22⋊#95C23semidirect
561. C2×C22⋊#95C23semidirect
562. C2×C22⋊#95C23semidirect
563. C2×C22⋊#95C23semidirect
564. C2×C22⋊#95C23semidirect
565. C2×C22⋊#95C23semidirect
566. C2×C22⋊#95C23semidirect
567. C2×C22⋊#95C23semidirect
568. C2×C22⋊#95C23semidirect
569. C2×C22⋊#95C23semidirect
570. C2×C22⋊#95C23semidirect
571. C2×C22⋊#95C23semidirect
572. C2×C22⋊#95C23semidirect
573. C2×C22⋊#95C23semidirect
574. C2×C22⋊#95C23semidirect
575. C2×C22⋊#95C23semidirect
576. C2×C22⋊#95C23semidirect
577. C2×C22⋊#95C23semidirect
578. #7557C23semidirect
579. #7557C23semidirect
580. #7557C23semidirect
581. #7557C23semidirect
582. #7557C23semidirect
583. #7557C23semidirect
584. #7556C23semidirect
585. #7556C23semidirect
586. #7556C23semidirect
587. #7556C23semidirect
588. #7556C23semidirect
589. #7556C23semidirect
590. #7556C23semidirect
591. #7556C23semidirect
592. #7555C23semidirect
593. #7555C23semidirect
594. #7555C23semidirect
595. #7555C23semidirect
596. #7555C23semidirect
597. #7555C23semidirect
598. #7555C23semidirect
599. #7555C23semidirect
600. #7555C23semidirect
601. #7555C23semidirect
602. #7555C23semidirect
603. #7555C23semidirect
604. #7555C23semidirect
605. #7555C23semidirect
606. #7555C23semidirect
607. #7555C23semidirect
608. #7555C23semidirect
609. #7555C23semidirect
610. #7555C23semidirect
611. #7555C23semidirect
612. #7555C23semidirect
613. #7555C23semidirect
614. #7554C23semidirect
615. #7554C23semidirect
616. #7554C23semidirect
617. #7554C23semidirect
635. C24×D4C22⋊C4semidirect
646. C24×D4C22×C4semidirect
647. C24×D4C22×C4semidirect
648. C24×D4C22×C4semidirect
701. C25×C4C2×D4semidirect
702. C25×C4C2×D4semidirect
725. C22×#127C22×C4semidirect
726. C22×#127C22×C4semidirect
727. C22×#121C22×C4semidirect
728. C22×#121C22×C4semidirect
729. C22×#121C22×C4semidirect
730. C22×#121C22×C4semidirect
731. C22×#121C22×C4semidirect
732. C22×#121C22×C4semidirect
733. C22×#121C22×C4semidirect
734. C22×#121C22×C4semidirect
746. C22×#120C22×C4semidirect
747. C22×#120C22×C4semidirect
748. C22×#120C22×C4semidirect
749. C22×#120C22×C4semidirect
750. C22×#120C22×C4semidirect
751. C22×#120C22×C4semidirect
752. C22×#120C22×C4semidirect
753. C22×#120C22×C4semidirect
754. C22×#120C22×C4semidirect
755. C22×#120C22×C4semidirect
756. C22×#120C22×C4semidirect
757. C22×#120C22×C4semidirect
760. C22×C4×D4C22×C4semidirect
761. C22×C4×D4C22×C4semidirect
762. C22×C4×D4C22×C4semidirect
763. C22×C4×D4C22×C4semidirect
771. C23×C22⋊C4C22×C4semidirect
772. C23×C22⋊C4C22×C4semidirect
773. C23×C22⋊C4C2×D4semidirect
774. C23×C22⋊C4C2×D4semidirect
775. C23×C22⋊C4C2×D4semidirect
854. C2×#394C22×C4semidirect
855. C2×#394C22×C4semidirect
856. C2×#394C22×C4semidirect
857. C2×#392C22×C4semidirect
858. C2×#392C22×C4semidirect
859. C2×#392C22×C4semidirect
860. C2×#392C22×C4semidirect
861. C2×#392C22×C4semidirect
862. C2×#392C22×C4semidirect
863. C2×#392C22×C4semidirect
864. C2×#392C22×C4semidirect
865. C2×#392C22×C4semidirect
866. C2×#390C22×C4semidirect
867. C2×#390C22×C4semidirect
868. C2×#390C22×C4semidirect
869. C2×#386C22×C4semidirect
870. C2×#386C22×C4semidirect
871. C2×#386C22×C4semidirect
872. C2×#386C22×C4semidirect
873. C2×#386C22×C4semidirect
874. C2×#386C22×C4semidirect
875. C2×#386C22×C4semidirect
876. C2×#386C22×C4semidirect
877. C2×#386C22×C4semidirect
878. C2×#386C22×C4semidirect
879. C2×#386C22×C4semidirect
880. C2×#386C22×C4semidirect
882. C2×#386C2×D4semidirect
883. C2×#386C2×D4semidirect
884. C2×#386C2×D4semidirect
885. C2×#386C2×D4semidirect
886. C2×#386C2×D4semidirect
887. C2×#385C22×C4semidirect
888. C2×#385C22×C4semidirect
889. C2×#380C22×C4semidirect
890. C2×#380C22×C4semidirect
896. C2×#379C22×C4semidirect
897. C2×#379C22×C4semidirect
898. C2×#379C22×C4semidirect
899. C2×#379C22×C4semidirect
900. C2×#379C2×D4semidirect
901. C2×C4×C22⋊C4C22×C4semidirect
902. C2×C4×C22⋊C4C22×C4semidirect
903. C22×#95C2×D4semidirect
904. C22×#95C2×D4semidirect
957. C22⋊#95C2×D4semidirect
958. C22⋊#95C2×D4semidirect
960. C26C2×C22⋊C4semidirect
971. C26C23×C4semidirect
1015. C23×D4C2×C22⋊C4semidirect
1016. C23×D4C2×C22⋊C4semidirect
1017. C23×D4C2×C22⋊C4semidirect
1018. C23×D4C2×C22⋊C4semidirect
1046. C23×D4C23×C4semidirect
1047. C23×D4C23×C4semidirect
1048. C23×D4C23×C4semidirect
1049. C23×D4C23×C4semidirect
1050. C23×D4C23×C4semidirect
1051. C23×D4C23×C4semidirect
1052. C23×D4C23×C4semidirect
1053. C23×D4C23×C4semidirect
1086. C24×C4C2×C22⋊C4semidirect
1093. C24×C4C23×C4semidirect
1094. C24×C4C23×C4semidirect
1095. C24×C4C23×C4semidirect
1136. C2×#120C4×D4semidirect
1137. C22×C4⋊C4C23×C4semidirect
1138. C22×C4⋊C4C23×C4semidirect
1139. C22×C4⋊C4C23×C4semidirect
1140. C22×C4⋊C4C23×C4semidirect
1161. C22×C22⋊C4C23×C4semidirect
1162. C22×C22⋊C4C23×C4semidirect
1163. C22×C22⋊C4C23×C4semidirect
1164. C22×C22⋊C4C23×C4semidirect
1165. C22×C22⋊C4C23×C4semidirect
1166. C22×C22⋊C4C23×C4semidirect
1167. C22×C22⋊C4C23×C4semidirect
1168. C22×C22⋊C4C23×C4semidirect
1169. C22×C22⋊C4C23×C4semidirect
1170. C22×C22⋊C4C23×C4semidirect
1171. C22×C22⋊C4C23×C4semidirect
1172. C22×C22⋊C4C23×C4semidirect
1173. C22×C22⋊C4C23×C4semidirect
1174. C22×C22⋊C4C23×C4semidirect
1175. C22×C22⋊C4C23×C4semidirect
1176. C22×C22⋊C4C23×C4semidirect
1187. C22×C22⋊C4C22×D4semidirect
1190. C22×C42C23×C4semidirect
1191. C22×C42C23×C4semidirect
1192. C2×#95C23×C4semidirect
1193. C2×#95C23×C4semidirect
1194. C2×#95C23×C4semidirect
1195. C2×#95C23×C4semidirect
1196. C2×#95C23×C4semidirect
1197. C2×#95C23×C4semidirect
1202. C2×#95C22×D4semidirect
1203. C2×#95C22×D4semidirect
1289. C22×D4#386semidirect
1326. C23×C4D42semidirect
1364. C24C2×#386semidirect
1365. C24#2308semidirect
1464. C2×D4C2×#386semidirect
1465. C2×D4C2×#386semidirect
1466. C22×C4C2×#386semidirect
1566. C22#516383semidirect
1568. C22#524461semidirect

Maximal subgroups

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

subgroupindex
#723305552
#723305272
#723304842
#723304792
#723304762
#723304642
#723304572
#723304092
#723304072
#723303962
#723303932
#723303342
#723303132
#723303072
#723302962
#723302912
#723302742
#723300512
C2×#5244612
#722984982
C24×#3862
#722878842
#722864332
#722864132
#722864092
C2×D4×#3792
C22×#146942
C2×#5163832
C22×D4×#1202