Finite Group Databasebeta

← C2×#10618527 #13006256

Subgroups — C2×#10618527 #13006256

Order 1280.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D5×#41C211yesmaximal, characteristic, complemented
2C23×#711C211yesmaximal, characteristic, complemented
3C2×C5×#546C211yesmaximal, characteristic, complemented
4C2×#66158C211yesmaximal, characteristic, complemented
5C2×D4×C22⋊D5C211yesmaximal, characteristic, complemented
6#10618527C2132yesmaximal, direct product factor
7C2×#66011C211yesmaximal, characteristic, complemented
8C2×#66002C211yesmaximal, characteristic, complemented
9C2×#65989C212yesmaximal, complemented
10C2×#65990C212yesmaximal, complemented
11C2×#65966C211yesmaximal, characteristic, complemented
12C2×#65961C211yesmaximal, characteristic, complemented
13C2×#65944C212yesmaximal, complemented
14C2×#65933C211yesmaximal, characteristic, complemented
15C2×#65930C212yesmaximal, complemented
16C2×#65940C211yesmaximal, characteristic, complemented
17C2×#65924C212yesmaximal, complemented
18C2×#65920C212yesmaximal, complemented
19C2×#65888C211yesmaximal, characteristic, complemented
20C2×C4×D4×D5C211yesmaximal, characteristic, complemented
21C2×#65886C211yesmaximal, characteristic, complemented
22C2×C4×#711C211yesmaximal, characteristic, complemented
23C2×#65824C212yesmaximal, complemented
24C22×#4027C212yesmaximal, complemented
25C22×C5×#41C2211yescharacteristic, complemented
26C23×C5×D4C2211yescharacteristic, complemented
27C23×C22⋊D5C2212yes—
28C23×C22⋊D5C2212yescomplemented
29C24×Dic5C2212yescomplemented
30C2×D5×#41—216no—
31C2×D5×#41C22116yescomplemented
32C22×#713C2211yescharacteristic, complemented
33C22×Q8×D5C2211yescharacteristic, complemented
34C22×#711—216no—
35C22×#711C2211yescharacteristic
36C22×#711C2211yescharacteristic, complemented
37C22×#711C2212yescomplemented
38C22×#711C2212yescomplemented
39C22×#711C2211yescharacteristic, complemented
40C22×#711C2211yescharacteristic, complemented
41C22×#711C2212yescomplemented
42C22×#711C22116yescomplemented
43C22×D4×D5C2211yescharacteristic
44C22×D4×D5C2211yescharacteristic, complemented
45C22×D4×D5C2212yescomplemented
46C22×#709C2212yescomplemented
47C22×#709C2211yescharacteristic, complemented
48C23×C4×D5C2211yescharacteristic, complemented
49C23×C4×D5C2212yescomplemented
50C23×C4×D5C2211yescharacteristic, complemented
51C23×Dic10C2211yescharacteristic, complemented
52C5×#546C22116yescomplemented
53C2×C5×#124C2211yescharacteristic, complemented
54C2×C5×#123C2212yescomplemented
55C2×C5×C22⋊Q8C2211yescharacteristic, complemented
56C2×C5×#121C2211yescharacteristic, complemented
57C2×C5×#121C2212yescomplemented
58C2×C5×#120C2212yescomplemented
59C2×C4×C5×D4C2211yescharacteristic, complemented
60C2×C4×C5×D4C2211yescharacteristic, complemented
61C22×C5×C22⋊C4C2212yescomplemented
62C2×#4099C2212yescomplemented
63#66158C22116yescomplemented
64C2×#4092C2211yescharacteristic, complemented
65C2×#4090C2211yescharacteristic, complemented
66C2×#4086C2211yescharacteristic, complemented
67C2×#4086C2212yescomplemented
68C2×#4085C2212yescomplemented
69C2×#4085C2212yescomplemented
70C2×#4085C2212yescomplemented
71C2×#4085C2212yescomplemented
72D4×C22⋊D5C22116yescomplemented
73C2×#4084C2211yescharacteristic, complemented
74C2×#4083C2212yescomplemented
75C2×#4083C2212yescomplemented
76C2×#4081C2212yescomplemented
77C2×D4×Dic5C2211yescharacteristic, complemented
78C2×D4×Dic5C2211yescharacteristic, complemented
79C2×D4×Dic5C2212yescomplemented
80C2×#4076C2211yescharacteristic, complemented
81C2×#4076C2212yescomplemented
82C2×#4075C2212yescomplemented
83C2×C4×C22⋊D5C2211yescharacteristic
84C2×C4×C22⋊D5C2211yescharacteristic, complemented
85C2×C4×C22⋊D5C2212yescomplemented
86C22×#685C2212yescomplemented
87C2×#4070C2211yescharacteristic, complemented
88C22×#683C2212yescomplemented
89C22×C4×Dic5C2212yescomplemented
90#66011C22116yescomplemented
91#66002C22116yescomplemented
92#65990C22132yescomplemented
93#65989C22132yescomplemented
94#65966C22116yescomplemented
95#65961C22116yescomplemented
96#65944C22132yescomplemented
97#65940C22116yescomplemented
98#65933C22116yescomplemented
99#65930C22132yescomplemented
100#65924C22132yescomplemented
101#65920C22132yescomplemented
102#65888C22116yescomplemented
103#65886C22116yescomplemented
104C4×D4×D5C22116yescomplemented
105C4×#711C22116yescomplemented
106C2×#4043C2211yescharacteristic, complemented
107C2×#4042C2212yescomplemented
108C2×#4042C2212yescomplemented
109C2×#4041C2211yescharacteristic, complemented
110C2×#4040C2212yescomplemented
111C2×#4039C2212yescomplemented
112C2×#4039C2211yescharacteristic, complemented
113C2×#4038C2211yescharacteristic, complemented
114C2×D5×C4⋊C4C2211yescharacteristic, complemented
115C2×#4034C2212yescomplemented
116C2×#4033C2211yescharacteristic, complemented
117C2×#4032C2212yescomplemented
118C2×#4031C2212yescomplemented
119C2×#4031C2212yescomplemented
120#65824C22132yescomplemented
121C2×#4030C2212yescomplemented
122C2×#4030C2212yescomplemented
123C2×#4030C2212yescomplemented
124C2×#4030C2212yescomplemented
125C2×#4029C2212yescomplemented
126C2×#4028C2212yescomplemented
127C2×#4028C2212yescomplemented
128C2×#4027C2212yes—
129C2×#4027C2211yescharacteristic
130C2×#4027C2212yescomplemented
131C2×#4027C2212yescomplemented
132C2×#4027C2212yescomplemented
133C2×#4027C2212yescomplemented
134C2×#4027C2212yescomplemented
135C2×#4027C2212yescomplemented
136C2×#4027C2211yescharacteristic, complemented
137C2×#4027C2212yescomplemented
138C2×#4027C2212yescomplemented
139C2×#4027C22132yescomplemented
140C2×D5×C22⋊C4C2211yescharacteristic, complemented
141C2×D5×C22⋊C4C2211yescharacteristic, complemented
142C2×#4024C2212yescomplemented
143C2×#4024C2212yescomplemented
144C2×#4023C2212yescomplemented
145C2×#4021C2211yescharacteristic, complemented
146C2×C4×D20C2211yescharacteristic, complemented
147C2×C42×D5C2211yescharacteristic, complemented
148C2×C4×Dic10C2211yescharacteristic, complemented
149C2×D4×#41—51nomaximal, Sylow
150C25×C5C2312yes—
151C24×D5C2311yescharacteristic
152C24×D5C2311yescharacteristic
153C24×D5C2312yes—
154C2×C5×#41—28no—
155C2×C5×#41C2318yescomplemented
156C22×C5×Q8C2311yescharacteristic
157C22×C5×D4—28no—
158C22×C5×D4C2311yescharacteristic
159C22×C5×D4C2312yes—
160C22×C5×D4C2312yes—
161C22×C5×D4C2311yescharacteristic
162C22×C5×D4C2312yes—
163C22×C5×D4C2311yescharacteristic
164C22×C5×D4C2318yescomplemented
165C23×C4×C5C2312yes—
166C23×C4×C5C2311yescharacteristic
167C23×C4×C5C2311yescharacteristic
168C23×C4×C5C2312yes—
169C22×C22⋊D5—216no—
170C22×C22⋊D5—216no—
171C22×C22⋊D5C2312yes—
172C22×C22⋊D5C2312yes—
173C22×C22⋊D5C2312yes—
174C22×C22⋊D5C23116yes—
175C22×C22⋊D5C2311yescharacteristic
176C22×C22⋊D5C2312yes—
177C22×C22⋊D5C2312yes—
178C22×C22⋊D5C2312yes—
179C22×C22⋊D5C2312yes—
180C22×C22⋊D5C2312yes—
181C22×C22⋊D5C2312yes—
182C22×C22⋊D5C2312yes—
183C22×C22⋊D5C2311yescharacteristic
184C22×C22⋊D5C23116yescomplemented
185C23×Dic5—216no—
186C23×Dic5C2312yes—
187C23×Dic5C2312yes—
188C23×Dic5C2311yescharacteristic
189C23×Dic5C2312yes—
190C23×Dic5C2312yes—
191C23×Dic5C2311yescharacteristic
192C23×Dic5C2312yes—
193C23×Dic5C2312yes—
194C23×Dic5C23116yescomplemented
195D5×#41—2128no—
196C2×#713—28no—
197C2×#713C2318yescomplemented
198C2×Q8×D5—28no—
199C2×Q8×D5C2318yescomplemented
200C2×#711—28no—
201C2×#711—216no—
202C2×#711—216no—
203C2×#711—216no—
204C2×#711—2128no—
205C2×#711—28no—
206C2×#711—28no—
207C2×#711D4116yescomplemented
208C2×#711C2318yes—
209C2×#711C2318yescomplemented
210C2×#711C23116yescomplemented
211C2×#711C23116yescomplemented
212C2×#711C2318yescomplemented
213C2×#711C2318yescomplemented
214C2×#711C23116yescomplemented
215C2×D4×D5—28no—
216C2×D4×D5—216no—
217C2×D4×D5—28no—
218C2×D4×D5C2318yes—
219C2×D4×D5C2318yescomplemented
220C2×D4×D5C23116yescomplemented
221C2×#709—216no—
222C2×#709—28no—
223C2×#709C23116yescomplemented
224C2×#709C2318yescomplemented
225C22×D20C2311yescharacteristic
226C22×D20C2311yescharacteristic
227C22×D20C2312yes—
228C22×D20C2312yes—
229C22×C4×D5—216no—
230C22×C4×D5—28no—
231C22×C4×D5—28no—
232C22×C4×D5C2311yescharacteristic
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2312yes—
239C22×C4×D5C2312yes—
240C22×C4×D5C2312yes—
241C22×C4×D5C2311yescharacteristic
242C22×C4×D5C2311yescharacteristic
243C22×C4×D5C2311yescharacteristic
244C22×C4×D5C23116yescomplemented
245C22×C4×D5C2318yescomplemented
246C22×C4×D5C2318yescomplemented
247C22×Dic10—28no—
248C22×Dic10C2311yescharacteristic
249C22×Dic10C2312yes—
250C22×Dic10C2312yes—
251C22×Dic10C2311yescharacteristic
252C22×Dic10C2318yescomplemented
253C5×#124C2318yescomplemented
254C5×#123C23116yescomplemented
255C5×C22⋊Q8C2318yescomplemented
256C5×#121C23116yescomplemented
257C5×#121C2318yescomplemented
258C5×#120C23116yescomplemented
259C4×C5×D4C2318yescomplemented
260C4×C5×D4C2318yescomplemented
261C2×C5×C4⋊C4C2311yescharacteristic
262C2×C5×C4⋊C4C2312yes—
263C2×C5×C4⋊C4C2311yescharacteristic
264C2×C5×C22⋊C4C2312yes—
265C2×C5×C22⋊C4C2312yes—
266C2×C5×C22⋊C4C2312yes—
267C2×C5×C22⋊C4C2311yescharacteristic
268C2×C5×C22⋊C4C2311yescharacteristic
269C2×C5×C22⋊C4C2312yes—
270C2×C5×C22⋊C4C2312yes—
271C2×C5×C22⋊C4C23116yescomplemented
272C2×C42×C5C2311yescharacteristic
273#4099C23116yescomplemented
274C2×C22⋊Dic5C2312yes—
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2312yes—
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2312yes—
279#4092C2318yescomplemented
280#4090C2318yescomplemented
281#4086C2318yescomplemented
282#4086C23116yescomplemented
283#4085C23116yescomplemented
284#4085C23116yescomplemented
285#4085C23116yescomplemented
286#4085C23116yescomplemented
287#4084C2318yescomplemented
288#4083C23116yescomplemented
289#4083C23116yescomplemented
290#4081C23116yescomplemented
291D4×Dic5C2318yescomplemented
292D4×Dic5C2318yescomplemented
293D4×Dic5C23116yescomplemented
294#4076C23116yescomplemented
295#4076C2318yescomplemented
296#4075C23116yescomplemented
297C4×C22⋊D5C2318yes—
298C4×C22⋊D5C23116yescomplemented
299C4×C22⋊D5C2318yescomplemented
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2312yes—
303C2×#685C2312yes—
304C2×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2312yes—
307C2×#685C2312yes—
308C2×#685C2312yes—
309C2×#685C2312yes—
310C2×#685C2312yes—
311C2×#685C23116yescomplemented
312C2×C4⋊Dic5C2311yescharacteristic
313C2×C4⋊Dic5C2311yescharacteristic
314C2×C4⋊Dic5C2312yes—
315#4070C2318yescomplemented
316C2×#683C2312yes—
317C2×#683C2312yes—
318C2×#683C2312yes—
319C2×#683C2312yes—
320C2×#683C2311yescharacteristic
321C2×#683C2312yes—
322C2×#683C2312yes—
323C2×#683C2311yescharacteristic
324C2×#683C23116yescomplemented
325C2×C4×Dic5C2312yes—
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2312yes—
330C2×C4×Dic5C2312yes—
331C2×C4×Dic5C23116yescomplemented
332#4043C2318yescomplemented
333#4042C23116yescomplemented
334#4042C23116yescomplemented
335#4041C2318yescomplemented
336#4040C23116yescomplemented
337#4039C2318yescomplemented
338#4039C23116yescomplemented
339#4038C2318yescomplemented
340D5×C4⋊C4C2318yescomplemented
341#4034C23116yescomplemented
342#4033C2318yescomplemented
343#4032C23116yescomplemented
344#4031C23116yescomplemented
345#4031C23116yescomplemented
346#4030C23116yescomplemented
347#4030C23116yescomplemented
348#4030C23116yescomplemented
349#4030C23116yescomplemented
350#4029C23116yescomplemented
351#4028C23116yescomplemented
352#4028C23116yescomplemented
353#4027C2318yes—
354#4027C23116yes—
355#4027C23116yescomplemented
356#4027C23116yescomplemented
357#4027C23116yescomplemented
358#4027C23116yescomplemented
359#4027C23116yescomplemented
360#4027C23116yescomplemented
361#4027C23116yescomplemented
362#4027C2318yescomplemented
363#4027C23116yescomplemented
364D5×C22⋊C4C2318yescomplemented
365D5×C22⋊C4C2318yescomplemented
366#4024C23116yescomplemented
367#4024C23116yescomplemented
368#4023C23116yescomplemented
369#4021C2318yescomplemented
370C4×D20C2318yescomplemented
371C42×D5C2318yescomplemented
372C4×Dic10C2318yescomplemented
373C23×#41—51no—
374C23×#41—51no—
375D4×#41—532no—
376C2×#550—51no—
377C2×D4×Q8—51no—
378C2×#548—51no—
379C2×#548—51no—
380C2×#547—51no—
381C2×#547—52no—
382C2×#546—52no—
383C2×#546—51no—
384C2×#546—52no—
385C2×#546D511yescharacteristic, complemented
386C2×D42—51no—
387C2×D42—52no—
388C2×#532—51no—
389C2×#532—52no—
390C2×#525—52no—
391C2×#525—51no—
392C2×#525—51no—
393C2×#525—52no—
394C2×C4×#41—51no—
395C22×C4×D4—51no—
396C22×C4×D4—52no—
397C24×C5—28no—
398C24×C5—28no—
399C24×C5—44no—
400C24×C5C2411yescharacteristic
401C24×C5C2412yes—
402C24×C5C2418yes—
403C24×C5C2412yes—
404C24×C5C2411yescharacteristic
405C23×D5—28no—
406C23×D5—24no—
407C23×D5—24no—
408C23×D5—24no—
409C23×D5—24no—
410C23×D5—28no—
411C23×D5—42no—
412C23×D5—42no—
413C23×D5—44no—
414C23×D5C2412yes—
415C23×D5C2411yescharacteristic
416C23×D5C2414yes—
417C23×D5C2414yes—
418C23×D5C2418yes—
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C5×#41—232no—
422C2×C5×Q8—24no—
423C2×C5×Q8C2414yes—
424C2×C5×D4—28no—
425C2×C5×D4—28no—
426C2×C5×D4—24no—
427C2×C5×D4—232no—
428C2×C5×D4—24no—
429C2×C5×D4—44no—
430C2×C5×D4C2×D418yescomplemented
431C2×C5×D4C2414yes—
432C2×C5×D4C2418yes—
433C2×C5×D4C2418yes—
434C2×C5×D4C2414yes—
435C2×C5×D4C2418yes—
436C2×C5×D4C2414yes—
437C22×C4×C5—28no—
438C22×C4×C5—24no—
439C22×C4×C5—24no—
440C22×C4×C5—44no—
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2412yes—
444C22×C4×C5C2412yes—
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2418yes—
448C22×C4×C5C2414yes—
449C22×C4×C5C2414yes—
450C22×C4×C5C2418yes—
451C22×C4×C5C2411yescharacteristic
452C2×C22⋊D5—28no—
453C2×C22⋊D5—28no—
454C2×C22⋊D5—28no—
455C2×C22⋊D5—28no—
456C2×C22⋊D5—28no—
457C2×C22⋊D5—264no—
458C2×C22⋊D5—264no—
459C2×C22⋊D5—28no—
460C2×C22⋊D5—28no—
461C2×C22⋊D5—24no—
462C2×C22⋊D5—28no—
463C2×C22⋊D5—44no—
464C2×C22⋊D5C2×D4116yescomplemented
465C2×C22⋊D5#4118yescomplemented
466C2×C22⋊D5C2418yes—
467C2×C22⋊D5C2418yes—
468C2×C22⋊D5C2418yes—
469C2×C22⋊D5C2414yes—
470C2×C22⋊D5C2418yes—
471C2×C22⋊D5C2418yes—
472C2×C22⋊D5C2418yes—
473C2×C22⋊D5C2418yes—
474C2×C22⋊D5C2418yes—
475C2×C22⋊D5C2418yes—
476C2×C22⋊D5C2418yes—
477C2×C22⋊D5C2414yes—
478C22×Dic5—28no—
479C22×Dic5—28no—
480C22×Dic5—24no—
481C22×Dic5—24no—
482C22×Dic5—28no—
483C22×Dic5—28no—
484C22×Dic5—264no—
485C22×Dic5—28no—
486C22×Dic5C2×D4116yescomplemented
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2412yes—
490C22×Dic5C2412yes—
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2418yes—
493C22×Dic5C2414yes—
494C22×Dic5C2414yes—
495C22×Dic5C2418yes—
496C22×Dic5C2418yes—
497C22×Dic5C2418yes—
498C22×Dic5C2418yes—
499C22×Dic5C2412yes—
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2418yes—
502C22×Dic5C2411yescharacteristic
503#713—232no—
504Q8×D5—232no—
505#711—232no—
506#711—264no—
507#711—264no—
508#711—264no—
509#711—232no—
510#711—232no—
511#711C2×D4164yescomplemented
512D4×D5—232no—
513D4×D5—264no—
514D4×D5—232no—
515#709—264no—
516#709—232no—
517C2×D20—28no—
518C2×D20—24no—
519C2×D20—24no—
520C2×D20—44no—
521C2×D20C2414yes—
522C2×D20C2418yes—
523C2×D20C2414yes—
524C2×D20C2418yes—
525C2×C4×D5—24no—
526C2×C4×D5—24no—
527C2×C4×D5—24no—
528C2×C4×D5—24no—
529C2×C4×D5—24no—
530C2×C4×D5—28no—
531C2×C4×D5—28no—
532C2×C4×D5—24no—
533C2×C4×D5—28no—
534C2×C4×D5—264no—
535C2×C4×D5—24no—
536C2×C4×D5—232no—
537C2×C4×D5—232no—
538C2×C4×D5—42no—
539C2×C4×D5C2×D418yescomplemented
540C2×C4×D5C2414yes—
541C2×C4×D5C2414yes—
542C2×C4×D5C2418yes—
543C2×C4×D5C2414yes—
544C2×C4×D5C2418yes—
545C2×C4×D5C2414yes—
546C2×C4×D5C2414yes—
547C2×C4×D5C2414yes—
548C2×C4×D5C2418yes—
549C2×C4×D5C2414yes—
550C2×C4×D5C2414yes—
551C2×C4×D5C2414yes—
552C2×Dic10—24no—
553C2×Dic10—28no—
554C2×Dic10—28no—
555C2×Dic10—232no—
556C2×Dic10C2×D418yescomplemented
557C2×Dic10C2414yes—
558C2×Dic10C2418yes—
559C2×Dic10C2418yes—
560C2×Dic10C2414yes—
561C5×C4⋊C4C2414yes—
562C5×C4⋊C4C2414yes—
563C5×C4⋊C4C2418yes—
564C5×C22⋊C4C2414yes—
565C5×C22⋊C4C2418yes—
566C5×C22⋊C4C2418yes—
567C5×C22⋊C4C2418yes—
568C5×C22⋊C4C2418yes—
569C5×C22⋊C4C2414yes—
570C5×C22⋊C4C2418yes—
571C42×C5C2414yes—
572C22⋊Dic5C2414yes—
573C22⋊Dic5C2418yes—
574C22⋊Dic5C2418yes—
575C22⋊Dic5C2414yes—
576C22⋊Dic5C2418yes—
577#685C2414yes—
578#685C2414yes—
579#685C2418yes—
580#685C2418yes—
581#685C2414yes—
582#685C2414yes—
583#685C2418yes—
584#685C2418yes—
585#685C2418yes—
586#685C2418yes—
587#685C2418yes—
588C4⋊Dic5C2414yes—
589C4⋊Dic5C2414yes—
590C4⋊Dic5C2418yes—
591#683C2418yes—
592#683C2418yes—
593#683C2418yes—
594#683C2418yes—
595#683C2414yes—
596#683C2418yes—
597#683C2418yes—
598#683C2414yes—
599C4×Dic5C2418yes—
600C4×Dic5C2414yes—
601C4×Dic5C2414yes—
602C4×Dic5C2414yes—
603C4×Dic5C2418yes—
604C4×Dic5C2418yes—
605C22×#41—516no—
606C22×#41—51no—
607C22×#41—51no—
608C22×#41—52no—
609C22×#41—52no—
610C22×#41—51no—
611C22×#41—51no—
612C22×#41—52no—
613C22×#41—51no—
614C22×#41—516no—
615C22×#41—52no—
616C22×#41—51no—
617C22×#41—1016no—
618C22×#41—1016no—
619C22×#41C2×D511yescharacteristic, complemented
620C23×Q8—51no—
621C23×Q8—51no—
622C23×D4—52no—
623C23×D4—52no—
624C23×D4—52no—
625C23×D4—51no—
626C23×D4—51no—
627C23×D4C2×D511yescharacteristic, complemented
628C24×C4—52no—
629C24×C4—52no—
630C24×C4—51no—
631C24×C4—51no—
632#550—516no—
633D4×Q8—516no—
634#548—516no—
635#548—516no—
636#547—516no—
637#547—532no—
638#546—532no—
639#546—516no—
640#546—532no—
641#546C2×D5116yescomplemented
642D42—516no—
643D42—532no—
644#532—516no—
645#532—532no—
646C2×C4⋊Q8—51no—
647C2×C4⋊Q8—52no—
648C2×#127—52no—
649C2×#127—51no—
650C2×#124—52no—
651C2×#124—52no—
652C2×#124—51no—
653C2×#124C2×D511yescharacteristic, complemented
654#525—532no—
655#525—516no—
656#525—516no—
657#525—532no—
658C2×#123—52no—
659C2×#123—52no—
660C2×#123—52no—
661C2×#123—52no—
662C2×#123—52no—
663C2×#123C2×D512yescomplemented
664C2×C22⋊Q8—51no—
665C2×C22⋊Q8—51no—
666C2×C22⋊Q8—52no—
667C2×C22⋊Q8—52no—
668C2×C22⋊Q8—51no—
669C2×C22⋊Q8—52no—
670C2×C22⋊Q8—52no—
671C2×C22⋊Q8C2×D511yescharacteristic, complemented
672C2×#121—51no—
673C2×#121—52no—
674C2×#121—52no—
675C2×#121—52no—
676C2×#121—52no—
677C2×#121—51no—
678C2×#121—52no—
679C2×#121—51no—
680C2×#121—52no—
681C2×#121—52no—
682C2×#121—52no—
683C2×#121—52no—
684C2×#121C2×D511yescharacteristic, complemented
685C2×#121C2×D512yescomplemented
686C2×#120—52no—
687C2×#120—52no—
688C2×#120—52no—
689C2×#120—52no—
690C2×#120—52no—
691C2×#120C2×D512yescomplemented
692C4×#41—516no—
693C2×C4×Q8—51no—
694C2×C4×Q8—51no—
695C2×C4×D4—51no—
696C2×C4×D4—51no—
697C2×C4×D4—52no—
698C2×C4×D4—51no—
699C2×C4×D4—51no—
700C2×C4×D4—52no—
701C2×C4×D4—516no—
702C2×C4×D4—51no—
703C2×C4×D4—52no—
704C2×C4×D4—51no—
705C2×C4×D4—52no—
706C2×C4×D4—52no—
707C2×C4×D4—52no—
708C2×C4×D4—51no—
709C2×C4×D4—52no—
710C2×C4×D4—52no—
711C2×C4×D4—52no—
712C2×C4×D4—52no—
713C2×C4×D4—52no—
714C2×C4×D4—52no—
715C2×C4×D4—532no—
716C2×C4×D4—51no—
717C2×C4×D4C2×D511yescharacteristic, complemented
718C2×C4×D4C2×D511yescharacteristic, complemented
719C2×#117—51no—
720C2×#117—52no—
721C22×C4⋊C4—52no—
722C22×C4⋊C4—51no—
723C22×C22⋊C4—52no—
724C22×C22⋊C4—51no—
725C22×C22⋊C4—51no—
726C22×C22⋊C4C2×D512yescomplemented
727C22×C42—52no—
728C22×C42—51no—
729C23×C5—22no—
730C23×C5—24no—
731C23×C5—24no—
732C23×C5—22no—
733C23×C5—216no—
734C23×C5—24no—
735C23×C5—22no—
736C23×C5—24no—
737C23×C5—22no—
738C23×C5—216no—
739C23×C5—24no—
740C23×C5—22no—
741C23×C5—48no—
742C23×C5—432no—
743C23×C5C22×D418yes—
744C23×C5C2×#4114yescomplemented
745C23×C5C2512yes—
746C23×C5C2514yes—
747C23×C5C2514yes—
748C23×C5C2512yes—
749C23×C5C2511yescharacteristic
750C22×D5—22no—
751C22×D5—22no—
752C22×D5—22no—
753C22×D5—22no—
754C22×D5—24no—
755C22×D5—216no—
756C22×D5—22no—
757C22×D5—22no—
758C22×D5—24no—
759C22×D5—28no—
760C22×D5—22no—
761C22×D5—24no—
762C22×D5—28no—
763C22×D5—28no—
764C22×D5—28no—
765C22×D5—216no—
766C22×D5—44no—
767C22×D5—44no—
768C22×D5—48no—
769C22×D5—416no—
770C22×D5—432no—
771C22×D5—416no—
772C22×D5C22×D414yes—
773C22×D5C2×#4114yescomplemented
774C22×D5C2514yes—
775C22×D5C2512yes—
776C22×D5C2512yes—
777C22×D5C2512yes—
778C5×Q8—28no—
779C5×D4—216no—
780C5×D4—216no—
781C5×D4—28no—
782C5×D4—28no—
783C5×D4—48no—
784C5×D4C22×D4116yescomplemented
785C2×C4×C5—22no—
786C2×C4×C5—24no—
787C2×C4×C5—22no—
788C2×C4×C5—216no—
789C2×C4×C5—22no—
790C2×C4×C5—22no—
791C2×C4×C5—24no—
792C2×C4×C5—28no—
793C2×C4×C5—28no—
794C2×C4×C5—48no—
795C2×C4×C5C22×D414yes—
796C2×C4×C5C2512yes—
797C2×C4×C5C2514yes—
798C2×C4×C5C2512yes—
799C2×C4×C5C2514yes—
800C2×C4×C5C2512yes—
801C2×C4×C5C2512yes—
802C2×C4×C5C2512yes—
803C22⋊D5—216no—
804C22⋊D5—216no—
805C22⋊D5—216no—
806C22⋊D5—216no—
807C22⋊D5—216no—
808C22⋊D5—216no—
809C22⋊D5—216no—
810C22⋊D5—28no—
811C22⋊D5—216no—
812C22⋊D5—48no—
813C22⋊D5C22×D4132yescomplemented
814C22⋊D5C2×#41116yescomplemented
815C2×Dic5—22no—
816C2×Dic5—24no—
817C2×Dic5—22no—
818C2×Dic5—216no—
819C2×Dic5—24no—
820C2×Dic5—22no—
821C2×Dic5—216no—
822C2×Dic5—28no—
823C2×Dic5—28no—
824C2×Dic5—216no—
825C2×Dic5—216no—
826C2×Dic5—216no—
827C2×Dic5C22×D418yes—
828C2×Dic5C22×D414yes—
829C2×Dic5C22×D4132yescomplemented
830C2×Dic5C2×#4114yescomplemented
831C2×Dic5C2512yes—
832C2×Dic5C2514yes—
833C2×Dic5C2514yes—
834C2×Dic5C2512yes—
835C2×Dic5C2512yes—
836C2×Dic5C2512yes—
837C2×Dic5C2514yes—
838C2×Dic5C2512yes—
839D20—216no—
840D20—28no—
841D20—28no—
842D20—48no—
843C4×D5—28no—
844C4×D5—28no—
845C4×D5—28no—
846C4×D5—28no—
847C4×D5—28no—
848C4×D5—216no—
849C4×D5—216no—
850C4×D5—28no—
851C4×D5—216no—
852C4×D5—28no—
853C4×D5—44no—
854C4×D5C22×D4116yescomplemented
855Dic10—28no—
856Dic10—216no—
857Dic10—216no—
858Dic10C22×D4116yescomplemented
859C25—51no—
860C25—52no—
861C25—51no—
862C25C22×D512yes—
863C2×#41—28no—
864C2×#41—58no—
865C2×#41—516no—
866C2×#41—58no—
867C2×#41—516no—
868C2×#41—516no—
869C2×#41—58no—
870C2×#41—58no—
871C2×#41—516no—
872C2×#41—58no—
873C2×#41—516no—
874C2×#41—58no—
875C2×#41—1016no—
876C2×#41—108no—
877C2×#41—1016no—
878C2×#41—1016no—
879C2×#41—108no—
880C2×#41—108no—
881C2×#41—1016no—
882C2×#41—108no—
883C2×#41—10128no—
884C2×#41—10128no—
885C2×#41—108no—
886C2×#41C22×D518yescomplemented
887C22×Q8—58no—
888C22×Q8—51no—
889C22×Q8—52no—
890C22×Q8—52no—
891C22×Q8—51no—
892C22×Q8—58no—
893C22×Q8—108no—
894C22×Q8—108no—
895C22×Q8C22×D511yescharacteristic
896C22×D4—28no—
897C22×D4—51no—
898C22×D4—52no—
899C22×D4—52no—
900C22×D4—52no—
901C22×D4—51no—
902C22×D4—52no—
903C22×D4—516no—
904C22×D4—52no—
905C22×D4—52no—
906C22×D4—52no—
907C22×D4—52no—
908C22×D4—52no—
909C22×D4—516no—
910C22×D4—52no—
911C22×D4—58no—
912C22×D4—516no—
913C22×D4—58no—
914C22×D4—51no—
915C22×D4—52no—
916C22×D4—51no—
917C22×D4—52no—
918C22×D4—108no—
919C22×D4—1016no—
920C22×D4—1016no—
921C22×D4—1016no—
922C22×D4—108no—
923C22×D4C22×D511yescharacteristic
924C22×D4C22×D512yes—
925C22×D4C22×D512yes—
926C22×D4C22×D511yescharacteristic
927C22×D4C22×D512yes—
928C22×D4C22×D511yescharacteristic
929C22×D4C22×D518yescomplemented
930C23×C4—52no—
931C23×C4—51no—
932C23×C4—52no—
933C23×C4—52no—
934C23×C4—51no—
935C23×C4—51no—
936C23×C4—52no—
937C23×C4—52no—
938C23×C4—52no—
939C23×C4—516no—
940C23×C4—51no—
941C23×C4—51no—
942C23×C4—51no—
943C23×C4—51no—
944C23×C4—51no—
945C23×C4—52no—
946C23×C4—52no—
947C23×C4—51no—
948C23×C4—52no—
949C23×C4—51no—
950C23×C4—516no—
951C23×C4—58no—
952C23×C4—58no—
953C23×C4—51no—
954C23×C4—1016no—
955C23×C4—108no—
956C23×C4—108no—
957C23×C4—1016no—
958C23×C4C22×D512yes—
959C23×C4C22×D511yescharacteristic
960C23×C4C22×D511yescharacteristic
961C23×C4C22×D512yes—
962C4⋊Q8—58no—
963C4⋊Q8—516no—
964#127—516no—
965#127—58no—
966#124—516no—
967#124—516no—
968#124—58no—
969#124C22×D518yescomplemented
970#123—516no—
971#123—516no—
972#123—516no—
973#123—516no—
974#123—516no—
975#123C22×D5116yescomplemented
976C22⋊Q8—58no—
977C22⋊Q8—58no—
978C22⋊Q8—516no—
979C22⋊Q8—58no—
980C22⋊Q8—516no—
981C22⋊Q8—516no—
982C22⋊Q8—516no—
983C22⋊Q8C22×D518yescomplemented
984#121—58no—
985#121—516no—
986#121—516no—
987#121—516no—
988#121—516no—
989#121—58no—
990#121—516no—
991#121—58no—
992#121—516no—
993#121—516no—
994#121—516no—
995#121—516no—
996#121C22×D518yescomplemented
997#121C22×D5116yescomplemented
998#120—516no—
999#120—516no—
1000#120—516no—
1001#120—516no—
1002#120—516no—
1003#120C22×D5116yescomplemented
1004C4×Q8—58no—
1005C4×Q8—58no—
1006C4×D4—58no—
1007C4×D4—58no—
1008C4×D4—516no—
1009C4×D4—58no—
1010C4×D4—58no—
1011C4×D4—516no—
1012C4×D4—58no—
1013C4×D4—516no—
1014C4×D4—58no—
1015C4×D4—516no—
1016C4×D4—516no—
1017C4×D4—58no—
1018C4×D4—516no—
1019C4×D4—516no—
1020C4×D4—516no—
1021C4×D4—516no—
1022C4×D4—516no—
1023C4×D4—516no—
1024C4×D4—516no—
1025C4×D4—58no—
1026C4×D4C22×D518yescomplemented
1027C4×D4C22×D518yescomplemented
1028#117—58no—
1029#117—516no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—52no—
1033C2×C4⋊C4—52no—
1034C2×C4⋊C4—52no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—516no—
1037C2×C4⋊C4—52no—
1038C2×C4⋊C4—52no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—52no—
1041C2×C4⋊C4—52no—
1042C2×C4⋊C4—58no—
1043C2×C4⋊C4C22×D511yescharacteristic
1044C2×C4⋊C4C22×D511yescharacteristic
1045C2×C4⋊C4C22×D512yes—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—52no—
1049C2×C22⋊C4—52no—
1050C2×C22⋊C4—52no—
1051C2×C22⋊C4—51no—
1052C2×C22⋊C4—51no—
1053C2×C22⋊C4—52no—
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—52no—
1056C2×C22⋊C4—52no—
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—516no—
1059C2×C22⋊C4—52no—
1060C2×C22⋊C4—52no—
1061C2×C22⋊C4—52no—
1062C2×C22⋊C4—52no—
1063C2×C22⋊C4—58no—
1064C2×C22⋊C4—58no—
1065C2×C22⋊C4C22×D511yescharacteristic
1066C2×C22⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4C22×D512yes—
1068C2×C22⋊C4C22×D512yes—
1069C2×C22⋊C4C22×D512yes—
1070C2×C22⋊C4C22×D512yes—
1071C2×C22⋊C4C22×D512yes—
1072C2×C22⋊C4C22×D5116yescomplemented
1073C2×C42—52no—
1074C2×C42—51no—
1075C2×C42—51no—
1076C2×C42—52no—
1077C2×C42—52no—
1078C2×C42—51no—
1079C2×C42—516no—
1080C2×C42—58no—
1081C2×C42C22×D511yescharacteristic
1082C22×C5—22no—
1083C22×C5—24no—
1084C22×C5—24no—
1085C22×C5—22no—
1086C22×C5—28no—
1087C22×C5—216no—
1088C22×C5—24no—
1089C22×C5—22no—
1090C22×C5—24no—
1091C22×C5—22no—
1092C22×C5—24no—
1093C22×C5—22no—
1094C22×C5—432no—
1095C22×C5—44no—
1096C22×C5—48no—
1097C22×C5C23×D418yes—
1098C22×C5C23×D412yes—
1099C22×C5C22×#4112yes—
1100C22×C5C22×#4114yescomplemented
1101C22×C5#58512yes—
1102C22×C5C2611yescharacteristic
1103C2×D5—22no—
1104C2×D5—22no—
1105C2×D5—22no—
1106C2×D5—22no—
1107C2×D5—28no—
1108C2×D5—28no—
1109C2×D5—24no—
1110C2×D5—22no—
1111C2×D5—22no—
1112C2×D5—24no—
1113C2×D5—22no—
1114C2×D5—24no—
1115C2×D5—416no—
1116C2×D5—432no—
1117C2×D5—416no—
1118C2×D5—48no—
1119C2×D5—44no—
1120C2×D5C23×D414yes—
1121C2×D5C22×#4114yescomplemented
1122C4×C5—22no—
1123C4×C5—24no—
1124C4×C5—22no—
1125C4×C5—22no—
1126C4×C5—22no—
1127C4×C5—24no—
1128C4×C5C23×D414yes—
1129Dic5—22no—
1130Dic5—24no—
1131Dic5—22no—
1132Dic5—24no—
1133Dic5—22no—
1134Dic5C23×D418yes—
1135Dic5C23×D414yes—
1136Dic5C22×#4114yescomplemented
1137C24—28no—
1138C24—28no—
1139C24—44no—
1140C24—51no—
1141C24—51no—
1142C24—52no—
1143C24—51no—
1144C24—54no—
1145C24—58no—
1146C24—54no—
1147C24—104no—
1148C24—104no—
1149C24—108no—
1150C24—104no—
1151C24—108no—
1152C24—104no—
1153C24—204no—
1154C24—202no—
1155C24—202no—
1156C24C23×D511yescharacteristic
1157C24C23×D512yes—
1158C24C23×D518yes—
1159C24C23×D512yes—
1160C24C23×D511yescharacteristic
1161#41—232no—
1162#41—564no—
1163#41—1064no—
1164#41—1032no—
1165#41—1064no—
1166#41—1064no—
1167#41—1032no—
1168#41—1032no—
1169#41—1064no—
1170#41—1032no—
1171#41—1032no—
1172C2×Q8—24no—
1173C2×Q8—58no—
1174C2×Q8—54no—
1175C2×Q8—58no—
1176C2×Q8—58no—
1177C2×Q8—54no—
1178C2×Q8—108no—
1179C2×Q8—108no—
1180C2×Q8—1032no—
1181C2×Q8—1032no—
1182C2×Q8—104no—
1183C2×Q8C23×D514yes—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—232no—
1188C2×D4—24no—
1189C2×D4—44no—
1190C2×D4—516no—
1191C2×D4—58no—
1192C2×D4—54no—
1193C2×D4—58no—
1194C2×D4—58no—
1195C2×D4—58no—
1196C2×D4—54no—
1197C2×D4—58no—
1198C2×D4—58no—
1199C2×D4—58no—
1200C2×D4—58no—
1201C2×D4—58no—
1202C2×D4—58no—
1203C2×D4—58no—
1204C2×D4—54no—
1205C2×D4—58no—
1206C2×D4—54no—
1207C2×D4—58no—
1208C2×D4—108no—
1209C2×D4—104no—
1210C2×D4—108no—
1211C2×D4—108no—
1212C2×D4—104no—
1213C2×D4—108no—
1214C2×D4—1064no—
1215C2×D4—1032no—
1216C2×D4—1064no—
1217C2×D4—1064no—
1218C2×D4—108no—
1219C2×D4—108no—
1220C2×D4—108no—
1221C2×D4—108no—
1222C2×D4—108no—
1223C2×D4—1032no—
1224C2×D4—104no—
1225C2×D4—204no—
1226C2×D4—204no—
1227C2×D4D4×D518yescomplemented
1228C2×D4C23×D514yes—
1229C2×D4C23×D518yes—
1230C2×D4C23×D518yes—
1231C2×D4C23×D514yes—
1232C2×D4C23×D518yes—
1233C2×D4C23×D514yes—
1234C22×C4—28no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—44no—
1238C22×C4—516no—
1239C22×C4—58no—
1240C22×C4—51no—
1241C22×C4—51no—
1242C22×C4—52no—
1243C22×C4—58no—
1244C22×C4—54no—
1245C22×C4—58no—
1246C22×C4—58no—
1247C22×C4—54no—
1248C22×C4—54no—
1249C22×C4—58no—
1250C22×C4—58no—
1251C22×C4—58no—
1252C22×C4—52no—
1253C22×C4—51no—
1254C22×C4—51no—
1255C22×C4—51no—
1256C22×C4—52no—
1257C22×C4—54no—
1258C22×C4—54no—
1259C22×C4—54no—
1260C22×C4—54no—
1261C22×C4—54no—
1262C22×C4—58no—
1263C22×C4—58no—
1264C22×C4—54no—
1265C22×C4—58no—
1266C22×C4—54no—
1267C22×C4—54no—
1268C22×C4—104no—
1269C22×C4—108no—
1270C22×C4—108no—
1271C22×C4—104no—
1272C22×C4—108no—
1273C22×C4—1064no—
1274C22×C4—1032no—
1275C22×C4—1032no—
1276C22×C4—104no—
1277C22×C4—104no—
1278C22×C4—104no—
1279C22×C4—104no—
1280C22×C4—108no—
1281C22×C4—104no—
1282C22×C4—108no—
1283C22×C4—108no—
1284C22×C4—1064no—
1285C22×C4—108no—
1286C22×C4—108no—
1287C22×C4—104no—
1288C22×C4—104no—
1289C22×C4—202no—
1290C22×C4C23×D518yes—
1291C22×C4C23×D514yes—
1292C22×C4C23×D514yes—
1293C22×C4C23×D511yescharacteristic
1294C22×C4C23×D512yes—
1295C22×C4C23×D511yescharacteristic
1296C22×C4C23×D511yescharacteristic
1297C22×C4C23×D511yescharacteristic
1298C22×C4C23×D512yes—
1299C22×C4C23×D518yes—
1300C22×C4C23×D511yescharacteristic
1301C4⋊C4—54no—
1302C4⋊C4—54no—
1303C4⋊C4—58no—
1304C4⋊C4—58no—
1305C4⋊C4—58no—
1306C4⋊C4—54no—
1307C4⋊C4—58no—
1308C4⋊C4—58no—
1309C4⋊C4—54no—
1310C4⋊C4—58no—
1311C4⋊C4—58no—
1312C4⋊C4C23×D514yes—
1313C4⋊C4C23×D514yes—
1314C4⋊C4C23×D518yes—
1315C22⋊C4—54no—
1316C22⋊C4—54no—
1317C22⋊C4—58no—
1318C22⋊C4—58no—
1319C22⋊C4—58no—
1320C22⋊C4—54no—
1321C22⋊C4—54no—
1322C22⋊C4—58no—
1323C22⋊C4—54no—
1324C22⋊C4—58no—
1325C22⋊C4—58no—
1326C22⋊C4—54no—
1327C22⋊C4—58no—
1328C22⋊C4—58no—
1329C22⋊C4—58no—
1330C22⋊C4—58no—
1331C22⋊C4C23×D514yes—
1332C22⋊C4C23×D514yes—
1333C22⋊C4C23×D518yes—
1334C22⋊C4C23×D518yes—
1335C22⋊C4C23×D518yes—
1336C22⋊C4C23×D518yes—
1337C22⋊C4C23×D518yes—
1338C42—54no—
1339C42—58no—
1340C42—54no—
1341C42—58no—
1342C42—58no—
1343C42—54no—
1344C42C23×D514yes—
1345C2×C5—24no—
1346C2×C5—28no—
1347C2×C5—42no—
1348C2×C5—44no—
1349C2×C5D4×#4114yescomplemented
1350C2×C5C24×D411yescharacteristic
1351C2×C5C23×#4111yescharacteristic
1352C2×C5C2×#58511yescharacteristic
1353D5—24no—
1354D5—24no—
1355D5—44no—
1356D5—42no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—216no—
1363C23—24no—
1364C23—22no—
1365C23—24no—
1366C23—216no—
1367C23—22no—
1368C23—24no—
1369C23—48no—
1370C23—432no—
1371C23—54no—
1372C23—54no—
1373C23—52no—
1374C23—52no—
1375C23—54no—
1376C23—52no—
1377C23—108no—
1378C23—108no—
1379C23—1016no—
1380C23—108no—
1381C23—102no—
1382C23—102no—
1383C23—102no—
1384C23—102no—
1385C23—1016no—
1386C23—104no—
1387C23—102no—
1388C23—102no—
1389C23—104no—
1390C23—108no—
1391C23—102no—
1392C23—104no—
1393C23—208no—
1394C23—204no—
1395C23—204no—
1396C23—2016no—
1397C23—2032no—
1398C23—2016no—
1399C23C2×D4×D518yes—
1400C23D5×#4114yescomplemented
1401C23C24×D512yes—
1402C23C24×D514yes—
1403C23C24×D514yes—
1404C23C24×D512yes—
1405C23C24×D511yescharacteristic
1406Q8—28no—
1407Q8—516no—
1408Q8—1016no—
1409Q8—1016no—
1410Q8—108no—
1411D4—216no—
1412D4—216no—
1413D4—28no—
1414D4—28no—
1415D4—48no—
1416D4—532no—
1417D4—516no—
1418D4—1016no—
1419D4—108no—
1420D4—1016no—
1421D4—1016no—
1422D4—108no—
1423D4—1016no—
1424D4—1016no—
1425D4—1016no—
1426D4—1016no—
1427D4—1016no—
1428D4—1016no—
1429D4—108no—
1430D4—208no—
1431D4—208no—
1432D4C2×D4×D5116yescomplemented
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—216no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—28no—
1441C2×C4—28no—
1442C2×C4—48no—
1443C2×C4—54no—
1444C2×C4—58no—
1445C2×C4—532no—
1446C2×C4—54no—
1447C2×C4—52no—
1448C2×C4—52no—
1449C2×C4—54no—
1450C2×C4—516no—
1451C2×C4—54no—
1452C2×C4—52no—
1453C2×C4—52no—
1454C2×C4—52no—
1455C2×C4—54no—
1456C2×C4—108no—
1457C2×C4—1016no—
1458C2×C4—1016no—
1459C2×C4—108no—
1460C2×C4—1016no—
1461C2×C4—108no—
1462C2×C4—108no—
1463C2×C4—108no—
1464C2×C4—108no—
1465C2×C4—1016no—
1466C2×C4—108no—
1467C2×C4—1016no—
1468C2×C4—1016no—
1469C2×C4—1016no—
1470C2×C4—102no—
1471C2×C4—102no—
1472C2×C4—104no—
1473C2×C4—1016no—
1474C2×C4—104no—
1475C2×C4—102no—
1476C2×C4—108no—
1477C2×C4—108no—
1478C2×C4—204no—
1479C2×C4C2×D4×D514yes—
1480C2×C4C24×D512yes—
1481C2×C4C24×D514yes—
1482C2×C4C24×D512yes—
1483C2×C4C24×D512yes—
1484C2×C4C24×D512yes—
1485C2×C4C24×D514yes—
1486C2×C4C24×D512yes—
1487C5C2×D4×#4111yescharacteristic, complemented, Sylow
1488C22—22no—
1489C22—24no—
1490C22—24no—
1491C22—22no—
1492C22—28no—
1493C22—216no—
1494C22—22no—
1495C22—24no—
1496C22—22no—
1497C22—24no—
1498C22—22no—
1499C22—24no—
1500C22—432no—
1501C22—48no—
1502C22—44no—
1503C22—54no—
1504C22—54no—
1505C22—102no—
1506C22—102no—
1507C22—102no—
1508C22—102no—
1509C22—108no—
1510C22—108no—
1511C22—104no—
1512C22—102no—
1513C22—102no—
1514C22—104no—
1515C22—102no—
1516C22—104no—
1517C22—2016no—
1518C22—2032no—
1519C22—2016no—
1520C22—208no—
1521C22—204no—
1522C22C22×D4×D518yes—
1523C22C22×D4×D512yes—
1524C22C2×D5×#4112yes—
1525C22C2×D5×#4114yescomplemented
1526C22#6628512yes—
1527C22C25×D511yescharacteristic
1528C4—22no—
1529C4—22no—
1530C4—24no—
1531C4—22no—
1532C4—22no—
1533C4—24no—
1534C4—54no—
1535C4—58no—
1536C4—54no—
1537C4—102no—
1538C4—102no—
1539C4—104no—
1540C4—104no—
1541C4—102no—
1542C4C22×D4×D514yes—
1543C2—24no—
1544C2—28no—
1545C2—44no—
1546C2—42no—
1547C2—104no—
1548C2—104no—
1549C2—204no—
1550C2—202no—
1551C2#1061852714yesdirect product factor
1552C2C23×D4×D511yescharacteristic
1553C2C22×D5×#4111yescharacteristic
1554C2C2×#6628511yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#546C2
socleC23×C5C25
hypercenterC2×#546D5
hypocenterC5C2×D4×#41
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C22×D5×#41C2semidirect
2. C23×#711C2semidirect
3. C2×C5×#546C2semidirect
4. C2×#66158C2semidirect
5. C2×D4×C22⋊D5C2semidirect
6. #10618527C2direct (N × H)
7. C2×#66011C2semidirect
8. C2×#66002C2semidirect
9. C2×#65989C2semidirect
10. C2×#65990C2semidirect
11. C2×#65966C2semidirect
12. C2×#65961C2semidirect
13. C2×#65944C2semidirect
14. C2×#65933C2semidirect
15. C2×#65930C2semidirect
16. C2×#65940C2semidirect
17. C2×#65924C2semidirect
18. C2×#65920C2semidirect
19. C2×#65888C2semidirect
20. C2×C4×D4×D5C2semidirect
21. C2×#65886C2semidirect
22. C2×C4×#711C2semidirect
23. C2×#65824C2semidirect
24. C22×#4027C2semidirect
25. C22×C5×#41C22semidirect
26. C23×C5×D4C22semidirect
28. C23×C22⋊D5C22semidirect
29. C24×Dic5C22semidirect
31. C2×D5×#41C22semidirect
32. C22×#713C22semidirect
33. C22×Q8×D5C22semidirect
36. C22×#711C22semidirect
37. C22×#711C22semidirect
38. C22×#711C22semidirect
39. C22×#711C22semidirect
40. C22×#711C22semidirect
41. C22×#711C22semidirect
42. C22×#711C22semidirect
44. C22×D4×D5C22semidirect
45. C22×D4×D5C22semidirect
46. C22×#709C22semidirect
47. C22×#709C22semidirect
48. C23×C4×D5C22semidirect
49. C23×C4×D5C22semidirect
50. C23×C4×D5C22semidirect
51. C23×Dic10C22semidirect
52. C5×#546C22semidirect
53. C2×C5×#124C22semidirect
54. C2×C5×#123C22semidirect
55. C2×C5×C22⋊Q8C22semidirect
56. C2×C5×#121C22semidirect
57. C2×C5×#121C22semidirect
58. C2×C5×#120C22semidirect
59. C2×C4×C5×D4C22semidirect
60. C2×C4×C5×D4C22semidirect
61. C22×C5×C22⋊C4C22semidirect
62. C2×#4099C22semidirect
63. #66158C22semidirect
64. C2×#4092C22semidirect
65. C2×#4090C22semidirect
66. C2×#4086C22semidirect
67. C2×#4086C22semidirect
68. C2×#4085C22semidirect
69. C2×#4085C22semidirect
70. C2×#4085C22semidirect
71. C2×#4085C22semidirect
72. D4×C22⋊D5C22semidirect
73. C2×#4084C22semidirect
74. C2×#4083C22semidirect
75. C2×#4083C22semidirect
76. C2×#4081C22semidirect
77. C2×D4×Dic5C22semidirect
78. C2×D4×Dic5C22semidirect
79. C2×D4×Dic5C22semidirect
80. C2×#4076C22semidirect
81. C2×#4076C22semidirect
82. C2×#4075C22semidirect
84. C2×C4×C22⋊D5C22semidirect
85. C2×C4×C22⋊D5C22semidirect
86. C22×#685C22semidirect
87. C2×#4070C22semidirect
88. C22×#683C22semidirect
89. C22×C4×Dic5C22semidirect
90. #66011C22semidirect
91. #66002C22semidirect
92. #65990C22semidirect
93. #65989C22semidirect
94. #65966C22semidirect
95. #65961C22semidirect
96. #65944C22semidirect
97. #65940C22semidirect
98. #65933C22semidirect
99. #65930C22semidirect
100. #65924C22semidirect
101. #65920C22semidirect
102. #65888C22semidirect
103. #65886C22semidirect
104. C4×D4×D5C22semidirect
105. C4×#711C22semidirect
106. C2×#4043C22semidirect
107. C2×#4042C22semidirect
108. C2×#4042C22semidirect
109. C2×#4041C22semidirect
110. C2×#4040C22semidirect
111. C2×#4039C22semidirect
112. C2×#4039C22semidirect
113. C2×#4038C22semidirect
114. C2×D5×C4⋊C4C22semidirect
115. C2×#4034C22semidirect
116. C2×#4033C22semidirect
117. C2×#4032C22semidirect
118. C2×#4031C22semidirect
119. C2×#4031C22semidirect
120. #65824C22semidirect
121. C2×#4030C22semidirect
122. C2×#4030C22semidirect
123. C2×#4030C22semidirect
124. C2×#4030C22semidirect
125. C2×#4029C22semidirect
126. C2×#4028C22semidirect
127. C2×#4028C22semidirect
130. C2×#4027C22semidirect
131. C2×#4027C22semidirect
132. C2×#4027C22semidirect
133. C2×#4027C22semidirect
134. C2×#4027C22semidirect
135. C2×#4027C22semidirect
136. C2×#4027C22semidirect
137. C2×#4027C22semidirect
138. C2×#4027C22semidirect
139. C2×#4027C22semidirect
140. C2×D5×C22⋊C4C22semidirect
141. C2×D5×C22⋊C4C22semidirect
142. C2×#4024C22semidirect
143. C2×#4024C22semidirect
144. C2×#4023C22semidirect
145. C2×#4021C22semidirect
146. C2×C4×D20C22semidirect
147. C2×C42×D5C22semidirect
148. C2×C4×Dic10C22semidirect
155. C2×C5×#41C23semidirect
164. C22×C5×D4C23semidirect
184. C22×C22⋊D5C23semidirect
194. C23×Dic5C23semidirect
197. C2×#713C23semidirect
199. C2×Q8×D5C23semidirect
207. C2×#711D4semidirect
209. C2×#711C23semidirect
210. C2×#711C23semidirect
211. C2×#711C23semidirect
212. C2×#711C23semidirect
213. C2×#711C23semidirect
214. C2×#711C23semidirect
219. C2×D4×D5C23semidirect
220. C2×D4×D5C23semidirect
223. C2×#709C23semidirect
224. C2×#709C23semidirect
244. C22×C4×D5C23semidirect
245. C22×C4×D5C23semidirect
246. C22×C4×D5C23semidirect
252. C22×Dic10C23semidirect
253. C5×#124C23semidirect
254. C5×#123C23semidirect
255. C5×C22⋊Q8C23semidirect
256. C5×#121C23semidirect
257. C5×#121C23semidirect
258. C5×#120C23semidirect
259. C4×C5×D4C23semidirect
260. C4×C5×D4C23semidirect
271. C2×C5×C22⋊C4C23semidirect
273. #4099C23semidirect
279. #4092C23semidirect
280. #4090C23semidirect
281. #4086C23semidirect
282. #4086C23semidirect
283. #4085C23semidirect
284. #4085C23semidirect
285. #4085C23semidirect
286. #4085C23semidirect
287. #4084C23semidirect
288. #4083C23semidirect
289. #4083C23semidirect
290. #4081C23semidirect
291. D4×Dic5C23semidirect
292. D4×Dic5C23semidirect
293. D4×Dic5C23semidirect
294. #4076C23semidirect
295. #4076C23semidirect
296. #4075C23semidirect
298. C4×C22⋊D5C23semidirect
299. C4×C22⋊D5C23semidirect
311. C2×#685C23semidirect
315. #4070C23semidirect
324. C2×#683C23semidirect
331. C2×C4×Dic5C23semidirect
332. #4043C23semidirect
333. #4042C23semidirect
334. #4042C23semidirect
335. #4041C23semidirect
336. #4040C23semidirect
337. #4039C23semidirect
338. #4039C23semidirect
339. #4038C23semidirect
340. D5×C4⋊C4C23semidirect
341. #4034C23semidirect
342. #4033C23semidirect
343. #4032C23semidirect
344. #4031C23semidirect
345. #4031C23semidirect
346. #4030C23semidirect
347. #4030C23semidirect
348. #4030C23semidirect
349. #4030C23semidirect
350. #4029C23semidirect
351. #4028C23semidirect
352. #4028C23semidirect
355. #4027C23semidirect
356. #4027C23semidirect
357. #4027C23semidirect
358. #4027C23semidirect
359. #4027C23semidirect
360. #4027C23semidirect
361. #4027C23semidirect
362. #4027C23semidirect
363. #4027C23semidirect
364. D5×C22⋊C4C23semidirect
365. D5×C22⋊C4C23semidirect
366. #4024C23semidirect
367. #4024C23semidirect
368. #4023C23semidirect
369. #4021C23semidirect
370. C4×D20C23semidirect
371. C42×D5C23semidirect
372. C4×Dic10C23semidirect
385. C2×#546D5semidirect
430. C2×C5×D4C2×D4semidirect
464. C2×C22⋊D5C2×D4semidirect
465. C2×C22⋊D5#41semidirect
486. C22×Dic5C2×D4semidirect
511. #711C2×D4semidirect
539. C2×C4×D5C2×D4semidirect
556. C2×Dic10C2×D4semidirect
619. C22×#41C2×D5semidirect
627. C23×D4C2×D5semidirect
641. #546C2×D5semidirect
653. C2×#124C2×D5semidirect
663. C2×#123C2×D5semidirect
671. C2×C22⋊Q8C2×D5semidirect
684. C2×#121C2×D5semidirect
685. C2×#121C2×D5semidirect
691. C2×#120C2×D5semidirect
717. C2×C4×D4C2×D5semidirect
718. C2×C4×D4C2×D5semidirect
726. C22×C22⋊C4C2×D5semidirect
744. C23×C5C2×#41semidirect
773. C22×D5C2×#41semidirect
784. C5×D4C22×D4semidirect
813. C22⋊D5C22×D4semidirect
814. C22⋊D5C2×#41semidirect
829. C2×Dic5C22×D4semidirect
830. C2×Dic5C2×#41semidirect
854. C4×D5C22×D4semidirect
858. Dic10C22×D4semidirect
886. C2×#41C22×D5semidirect
929. C22×D4C22×D5semidirect
969. #124C22×D5semidirect
975. #123C22×D5semidirect
983. C22⋊Q8C22×D5semidirect
996. #121C22×D5semidirect
997. #121C22×D5semidirect
1003. #120C22×D5semidirect
1026. C4×D4C22×D5semidirect
1027. C4×D4C22×D5semidirect
1072. C2×C22⋊C4C22×D5semidirect
1100. C22×C5C22×#41semidirect
1121. C2×D5C22×#41semidirect
1136. Dic5C22×#41semidirect
1227. C2×D4D4×D5semidirect
1349. C2×C5D4×#41semidirect
1400. C23D5×#41semidirect
1432. D4C2×D4×D5semidirect
1487. C5C2×D4×#41semidirect
1525. C22C2×D5×#41semidirect
1551. C2#10618527direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D5×#412
C23×#7112
C2×C5×#5462
C2×#661582
C2×D4×C22⋊D52
#106185272
C2×#660112
C2×#660022
C2×#659892
C2×#659902
C2×#659662
C2×#659612
C2×#659442
C2×#659332
C2×#659302
C2×#659402
C2×#659242
C2×#659202
C2×#658882
C2×C4×D4×D52
C2×#658862
C2×C4×#7112
C2×#658242
C22×#40272
C2×D4×#415