Finite Group Databasebeta

← C2×#10618530 #13007609

Subgroups — C2×#10618530 #13007609

Order 1280.

12366 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D5×#41C211yesmaximal, characteristic, complemented
2C22×#4144C211yesmaximal, characteristic, complemented
3C2×C5×#546C211yesmaximal, characteristic, complemented
4C2×#66163C211yesmaximal, characteristic, complemented
5C2×D4×C22⋊D5C211yesmaximal, characteristic, complemented
6#10618530C2132yesmaximal, direct product factor
7C2×#66011C211yesmaximal, characteristic, complemented
8C2×#66008C211yesmaximal, characteristic, complemented
9C2×#65988C212yesmaximal, complemented
10C2×#65990C212yesmaximal, complemented
11C2×#65967C211yesmaximal, characteristic, complemented
12C2×#65963C211yesmaximal, characteristic, complemented
13C2×#65943C212yesmaximal, complemented
14C2×D5×#121C211yesmaximal, characteristic, complemented
15C2×#65933C211yesmaximal, characteristic, complemented
16C2×#65931C212yesmaximal, complemented
17C2×#65924C212yesmaximal, complemented
18C2×#65926C212yesmaximal, complemented
19C2×D4×D20C211yesmaximal, characteristic, complemented
20C2×#65881C211yesmaximal, characteristic, complemented
21C2×#65887C211yesmaximal, characteristic, complemented
22C2×#65880C211yesmaximal, characteristic, complemented
23C2×#65824C212yesmaximal, complemented
24C22×#4030C212yesmaximal, complemented
25C22×C5×#41C2211yescharacteristic, complemented
26C23×C5×D4C2211yescharacteristic, complemented
27C23×C22⋊D5C2212yescomplemented
28C23×C22⋊D5C2212yescomplemented
29C23×C22⋊D5C2212yescomplemented
30C2×D5×#41—216no—
31C2×D5×#41C22116yescomplemented
32C22×#713C2211yescharacteristic, complemented
33C22×Q8×D5C2211yescharacteristic, complemented
34C2×#4144—216no—
35C2×#4144C22116yescomplemented
36C22×#711C2211yescharacteristic
37C22×#711C2212yescomplemented
38C22×#711C2211yescharacteristic, complemented
39C22×#711C2212yescomplemented
40C22×D4×D5C2211yescharacteristic, complemented
41C22×D4×D5C2211yescharacteristic, complemented
42C22×D4×D5C2212yescomplemented
43C22×D4×D5C2211yescharacteristic, complemented
44C22×D4×D5C2212yescomplemented
45C22×D4×D5C2212yescomplemented
46C22×#709C2211yescharacteristic, complemented
47C22×#709C2211yescharacteristic, complemented
48C22×#709C2212yescomplemented
49C22×#709C2211yescharacteristic, complemented
50C23×D20C2212yescomplemented
51C23×C4×D5C2212yescomplemented
52C23×C4×D5C2211yescharacteristic, complemented
53C5×#546C22116yescomplemented
54C2×C5×#124C2211yescharacteristic, complemented
55C2×C5×#123C2212yescomplemented
56C2×C5×C22⋊Q8C2211yescharacteristic, complemented
57C2×C5×#121C2212yescomplemented
58C2×C5×#121C2211yescharacteristic, complemented
59C2×C5×#120C2212yescomplemented
60C2×C4×C5×D4C2211yescharacteristic, complemented
61C2×C4×C5×D4C2211yescharacteristic, complemented
62C22×C5×C22⋊C4C2212yescomplemented
63C2×#4099C2212yescomplemented
64#66163C22116yescomplemented
65C2×#4093C2211yescharacteristic, complemented
66C2×#4092C2211yescharacteristic, complemented
67C2×#4086C2211yescharacteristic, complemented
68C2×#4086C2212yescomplemented
69C2×#4086C2212yescomplemented
70C2×#4085C2212yescomplemented
71C2×#4085C2212yescomplemented
72C2×#4085C2211yescharacteristic, complemented
73C2×#4085C2212yescomplemented
74C2×#4085C2212yescomplemented
75D4×C22⋊D5C22116yescomplemented
76C2×#4084C2211yescharacteristic, complemented
77C2×#4083C2212yescomplemented
78C2×#4083C2212yescomplemented
79C2×#4083C2211yescharacteristic, complemented
80C2×D4×Dic5C2211yescharacteristic, complemented
81C2×#4076C2211yescharacteristic, complemented
82C2×#4076C2211yescharacteristic, complemented
83C2×#4076C2212yescomplemented
84C2×#4075C2212yescomplemented
85C2×C4×C22⋊D5C2211yescharacteristic, complemented
86C2×C4×C22⋊D5C2211yescharacteristic, complemented
87C2×C4×C22⋊D5C2212yescomplemented
88C22×#685C2212yescomplemented
89C22×#683C2212yescomplemented
90#66011C22116yescomplemented
91#66008C22116yescomplemented
92#65990C22132yescomplemented
93#65988C22132yescomplemented
94#65967C22116yescomplemented
95#65963C22116yescomplemented
96#65943C22132yescomplemented
97D5×#121C22116yescomplemented
98#65933C22116yescomplemented
99#65931C22132yescomplemented
100#65926C22132yescomplemented
101#65924C22132yescomplemented
102#65887C22116yescomplemented
103D4×D20C22116yescomplemented
104#65881C22116yescomplemented
105#65880C22116yescomplemented
106C2×#4042C2212yescomplemented
107C2×#4042C2212yescomplemented
108C2×#4042C2211yescharacteristic, complemented
109C2×#4041C2212yescomplemented
110C2×#4041C2211yescharacteristic, complemented
111C2×#4041C2211yescharacteristic, complemented
112C2×#4040C2211yescharacteristic, complemented
113C2×#4039C2212yescomplemented
114C2×#4039C2212yescomplemented
115C2×D5×C4⋊C4C2211yescharacteristic, complemented
116C2×#4033C2211yescharacteristic, complemented
117C2×#4031C2212yescomplemented
118C2×#4031C2212yescomplemented
119#65824C22132yescomplemented
120C2×#4030C2212yescomplemented
121C2×#4030C2212yescomplemented
122C2×#4030C2212yescomplemented
123C2×#4030C2212yescomplemented
124C2×#4030C2212yescomplemented
125C2×#4030C2212yescomplemented
126C2×#4030C2212yescomplemented
127C2×#4030C2212yescomplemented
128C2×#4030C2211yescharacteristic, complemented
129C2×#4030C2212yescomplemented
130C2×#4030C2212yescomplemented
131C2×#4030C22132yescomplemented
132C2×#4029C2211yescharacteristic, complemented
133C2×#4028C2212yescomplemented
134C2×#4028C2212yescomplemented
135C2×#4028C2212yescomplemented
136C2×#4028C2211yescharacteristic, complemented
137C2×#4028C2212yescomplemented
138C2×#4027C2212yescomplemented
139C2×#4027C2212yescomplemented
140C2×#4027C2212yescomplemented
141C2×D5×C22⋊C4C2212yescomplemented
142C2×#4024C2211yescharacteristic, complemented
143C2×#4024C2212yescomplemented
144C2×#4023C2212yescomplemented
145C2×#4020C2211yescharacteristic, complemented
146C2×C4×D20C2211yescharacteristic, complemented
147C2×#4018C2211yescharacteristic, complemented
148C2×C4×Dic10C2211yescharacteristic, complemented
149C2×#3488—51nomaximal, Sylow
150C25×C5C2312yes—
151C24×D5C2312yes—
152C24×D5C2311yescharacteristic
153C24×D5C2312yes—
154C24×D5C2312yes—
155C2×C5×#41—28no—
156C2×C5×#41C2318yescomplemented
157C22×C5×Q8C2311yescharacteristic
158C22×C5×D4—28no—
159C22×C5×D4C2312yes—
160C22×C5×D4C2312yes—
161C22×C5×D4C2311yescharacteristic
162C22×C5×D4C2311yescharacteristic
163C22×C5×D4C2312yes—
164C22×C5×D4C2311yescharacteristic
165C22×C5×D4C2318yescomplemented
166C23×C4×C5C2312yes—
167C23×C4×C5C2311yescharacteristic
168C23×C4×C5C2311yescharacteristic
169C23×C4×C5C2312yes—
170C22×C22⋊D5—216no—
171C22×C22⋊D5—216no—
172C22×C22⋊D5—48no—
173C22×C22⋊D5C2312yes—
174C22×C22⋊D5C2312yes—
175C22×C22⋊D5C2312yes—
176C22×C22⋊D5C2311yescharacteristic
177C22×C22⋊D5C2311yescharacteristic
178C22×C22⋊D5C2311yescharacteristic
179C22×C22⋊D5C2312yes—
180C22×C22⋊D5C2312yes—
181C22×C22⋊D5C2312yes—
182C22×C22⋊D5C2312yes—
183C22×C22⋊D5C2312yes—
184C22×C22⋊D5C2312yes—
185C22×C22⋊D5C2311yescharacteristic
186C22×C22⋊D5C2312yes—
187C22×C22⋊D5C2312yes—
188C22×C22⋊D5C2312yes—
189C22×C22⋊D5C23116yescomplemented
190C22×C22⋊D5C23116yescomplemented
191C22×C22⋊D5C23116yescomplemented
192C23×Dic5C2312yes—
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2312yes—
195C23×Dic5C2312yes—
196D5×#41—2128no—
197C2×#713—28no—
198C2×#713C2318yescomplemented
199C2×Q8×D5—28no—
200C2×Q8×D5C2318yescomplemented
201#4144—2128no—
202C2×#711—216no—
203C2×#711—216no—
204C2×#711—28no—
205C2×#711D4116yescomplemented
206C2×#711C2318yes—
207C2×#711C23116yescomplemented
208C2×#711C23116yescomplemented
209C2×#711C2318yescomplemented
210C2×D4×D5—28no—
211C2×D4×D5—28no—
212C2×D4×D5—216no—
213C2×D4×D5—216no—
214C2×D4×D5—28no—
215C2×D4×D5—48no—
216C2×D4×D5C2318yescomplemented
217C2×D4×D5C2318yescomplemented
218C2×D4×D5C23116yescomplemented
219C2×D4×D5C2318yescomplemented
220C2×D4×D5C23116yescomplemented
221C2×D4×D5C23116yescomplemented
222C2×#709—216no—
223C2×#709—28no—
224C2×#709—28no—
225C2×#709—28no—
226C2×#709C23116yescomplemented
227C2×#709C2318yescomplemented
228C2×#709C2318yescomplemented
229C2×#709C2318yescomplemented
230C22×D20—48no—
231C22×D20C2311yescharacteristic
232C22×D20C2311yescharacteristic
233C22×D20C2311yescharacteristic
234C22×D20C2312yes—
235C22×D20C2312yes—
236C22×D20C2311yescharacteristic
237C22×D20C2312yes—
238C22×D20C2312yes—
239C22×D20C2312yes—
240C22×D20C23116yescomplemented
241C22×C4×D5—216no—
242C22×C4×D5—28no—
243C22×C4×D5C2311yescharacteristic
244C22×C4×D5C2311yescharacteristic
245C22×C4×D5C2311yescharacteristic
246C22×C4×D5C2312yes—
247C22×C4×D5C2312yes—
248C22×C4×D5C2311yescharacteristic
249C22×C4×D5C2312yes—
250C22×C4×D5C2312yes—
251C22×C4×D5C2312yes—
252C22×C4×D5C2311yescharacteristic
253C22×C4×D5C23116yescomplemented
254C22×C4×D5C2318yescomplemented
255C22×Dic10C2312yes—
256C22×Dic10C2311yescharacteristic
257C22×Dic10C2311yescharacteristic
258C5×#124C2318yescomplemented
259C5×#123C23116yescomplemented
260C5×C22⋊Q8C2318yescomplemented
261C5×#121C23116yescomplemented
262C5×#121C2318yescomplemented
263C5×#120C23116yescomplemented
264C4×C5×D4C2318yescomplemented
265C4×C5×D4C2318yescomplemented
266C2×C5×C4⋊C4C2311yescharacteristic
267C2×C5×C4⋊C4C2311yescharacteristic
268C2×C5×C4⋊C4C2312yes—
269C2×C5×C22⋊C4C2312yes—
270C2×C5×C22⋊C4C2312yes—
271C2×C5×C22⋊C4C2311yescharacteristic
272C2×C5×C22⋊C4C2312yes—
273C2×C5×C22⋊C4C2312yes—
274C2×C5×C22⋊C4C2311yescharacteristic
275C2×C5×C22⋊C4C2312yes—
276C2×C5×C22⋊C4C23116yescomplemented
277C2×C42×C5C2311yescharacteristic
278#4099C23116yescomplemented
279C2×C22⋊Dic5C2312yes—
280C2×C22⋊Dic5C2312yes—
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283#4093C2318yescomplemented
284#4092C2318yescomplemented
285#4086C2318yescomplemented
286#4086C23116yescomplemented
287#4086C23116yescomplemented
288#4085C23116yescomplemented
289#4085C2318yescomplemented
290#4085C23116yescomplemented
291#4085C23116yescomplemented
292#4085C23116yescomplemented
293#4084C2318yescomplemented
294#4083C23116yescomplemented
295#4083C2318yescomplemented
296#4083C23116yescomplemented
297D4×Dic5C2318yescomplemented
298#4076C23116yescomplemented
299#4076C2318yescomplemented
300#4076C2318yescomplemented
301#4075C23116yescomplemented
302C4×C22⋊D5C23116yescomplemented
303C4×C22⋊D5C2318yescomplemented
304C4×C22⋊D5C2318yescomplemented
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×#685C2311yescharacteristic
309C2×#685C2312yes—
310C2×#685C2312yes—
311C2×#685C2312yes—
312C2×#685C2312yes—
313C2×#685C2312yes—
314C2×#685C2311yescharacteristic
315C2×#685C2311yescharacteristic
316C2×#685C2312yes—
317C2×#685C2312yes—
318C2×#685C23116yescomplemented
319C2×C4⋊Dic5C2311yescharacteristic
320C2×C4⋊Dic5C2311yescharacteristic
321C2×#683C2312yes—
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2312yes—
325C2×#683C2312yes—
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2312yes—
329C2×#683C23116yescomplemented
330C2×C4×Dic5C2312yes—
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2312yes—
333#4042C2318yescomplemented
334#4042C23116yescomplemented
335#4042C23116yescomplemented
336#4041C2318yescomplemented
337#4041C2318yescomplemented
338#4041C23116yescomplemented
339#4040C2318yescomplemented
340#4039C23116yescomplemented
341#4039C23116yescomplemented
342D5×C4⋊C4C2318yescomplemented
343#4033C2318yescomplemented
344#4031C23116yescomplemented
345#4031C23116yescomplemented
346#4030C2318yescomplemented
347#4030C23116yescomplemented
348#4030C23116yescomplemented
349#4030C23116yescomplemented
350#4030C23116yescomplemented
351#4030C23116yescomplemented
352#4030C23116yescomplemented
353#4030C23116yescomplemented
354#4030C23116yescomplemented
355#4030C23116yescomplemented
356#4030C23116yescomplemented
357#4029C2318yescomplemented
358#4028C23116yescomplemented
359#4028C2318yescomplemented
360#4028C23116yescomplemented
361#4028C23116yescomplemented
362#4028C23116yescomplemented
363#4027C23116yescomplemented
364#4027C23116yescomplemented
365#4027C23116yescomplemented
366D5×C22⋊C4C23116yescomplemented
367#4024C23116yescomplemented
368#4024C2318yescomplemented
369#4023C23116yescomplemented
370#4020C2318yescomplemented
371C4×D20C2318yescomplemented
372#4018C2318yescomplemented
373C4×Dic10C2318yescomplemented
374C22×H(5,𝔽2)—51no—
375C23×#41—51no—
376#3488—532no—
377C2×#550—51no—
378C2×#550—51no—
379C2×#548—51no—
380C2×#548—51no—
381C2×#546—51no—
382C2×#546—52no—
383C2×#546—52no—
384C2×#546D511yescharacteristic, complemented
385C2×D42—51no—
386C2×D42—52no—
387C2×D42—52no—
388C2×D42—51no—
389C2×#537—51no—
390C2×#537—52no—
391C2×#535—51no—
392C2×#535—52no—
393C2×#525—52no—
394C2×#525—51no—
395C22×#121—51no—
396C22×#121—52no—
397C2×#520—51no—
398C24×C5—28no—
399C24×C5—44no—
400C24×C5—44no—
401C24×C5C2412yes—
402C24×C5C2411yescharacteristic
403C24×C5C2411yescharacteristic
404C24×C5C2412yes—
405C24×C5C2418yes—
406C23×D5—28no—
407C23×D5—28no—
408C23×D5—24no—
409C23×D5—28no—
410C23×D5—24no—
411C23×D5—28no—
412C23×D5—42no—
413C23×D5—44no—
414C23×D5—44no—
415C23×D5—44no—
416C23×D5—44no—
417C23×D5—44no—
418C23×D5C2412yes—
419C23×D5C2411yescharacteristic
420C23×D5C2412yes—
421C23×D5C2418yes—
422C23×D5C2414yes—
423C23×D5C2411yescharacteristic
424C23×D5C2411yescharacteristic
425C23×D5C2418yes—
426C23×D5C2418yes—
427C5×#41—232no—
428C2×C5×Q8—24no—
429C2×C5×Q8C2414yes—
430C2×C5×D4—28no—
431C2×C5×D4—28no—
432C2×C5×D4—232no—
433C2×C5×D4—24no—
434C2×C5×D4—44no—
435C2×C5×D4—42no—
436C2×C5×D4C2×D418yescomplemented
437C2×C5×D4C2418yes—
438C2×C5×D4C2418yes—
439C2×C5×D4C2414yes—
440C2×C5×D4C2414yes—
441C2×C5×D4C2418yes—
442C2×C5×D4C2414yes—
443C22×C4×C5—28no—
444C22×C4×C5—24no—
445C22×C4×C5—24no—
446C22×C4×C5—44no—
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2412yes—
450C22×C4×C5C2412yes—
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2418yes—
454C22×C4×C5C2414yes—
455C22×C4×C5C2414yes—
456C22×C4×C5C2418yes—
457C22×C4×C5C2411yescharacteristic
458C2×C22⋊D5—28no—
459C2×C22⋊D5—28no—
460C2×C22⋊D5—24no—
461C2×C22⋊D5—28no—
462C2×C22⋊D5—24no—
463C2×C22⋊D5—264no—
464C2×C22⋊D5—28no—
465C2×C22⋊D5—28no—
466C2×C22⋊D5—24no—
467C2×C22⋊D5—28no—
468C2×C22⋊D5—28no—
469C2×C22⋊D5—264no—
470C2×C22⋊D5—44no—
471C2×C22⋊D5—44no—
472C2×C22⋊D5—44no—
473C2×C22⋊D5—44no—
474C2×C22⋊D5—42no—
475C2×C22⋊D5—432no—
476C2×C22⋊D5C2×D4116yescomplemented
477C2×C22⋊D5C2418yes—
478C2×C22⋊D5C2418yes—
479C2×C22⋊D5C2414yes—
480C2×C22⋊D5C2414yes—
481C2×C22⋊D5C2418yes—
482C2×C22⋊D5C2418yes—
483C2×C22⋊D5C2418yes—
484C2×C22⋊D5C2418yes—
485C2×C22⋊D5C2418yes—
486C2×C22⋊D5C2414yes—
487C2×C22⋊D5C2418yes—
488C2×C22⋊D5C2418yes—
489C2×C22⋊D5C2418yes—
490C2×C22⋊D5C2418yes—
491C2×C22⋊D5C2414yes—
492C2×C22⋊D5C2418yes—
493C22×Dic5—24no—
494C22×Dic5—28no—
495C22×Dic5—44no—
496C22×Dic5C2×D4116yescomplemented
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2412yes—
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2414yes—
503C22×Dic5C2418yes—
504C22×Dic5C2418yes—
505C22×Dic5C2412yes—
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2418yes—
508#713—232no—
509Q8×D5—232no—
510#711—264no—
511#711—264no—
512#711—232no—
513#711C2×D4164yescomplemented
514D4×D5—232no—
515D4×D5—232no—
516D4×D5—264no—
517D4×D5—264no—
518D4×D5—232no—
519D4×D5—432no—
520#709—264no—
521#709—232no—
522#709—232no—
523#709—232no—
524C2×D20—24no—
525C2×D20—28no—
526C2×D20—24no—
527C2×D20—28no—
528C2×D20—24no—
529C2×D20—24no—
530C2×D20—432no—
531C2×D20—44no—
532C2×D20—44no—
533C2×D20—44no—
534C2×D20C2414yes—
535C2×D20C2418yes—
536C2×D20C2414yes—
537C2×D20C2414yes—
538C2×D20C2414yes—
539C2×D20C2418yes—
540C2×D20C2418yes—
541C2×D20C2418yes—
542C2×D20C2418yes—
543C2×C4×D5—24no—
544C2×C4×D5—24no—
545C2×C4×D5—24no—
546C2×C4×D5—24no—
547C2×C4×D5—28no—
548C2×C4×D5—28no—
549C2×C4×D5—28no—
550C2×C4×D5—28no—
551C2×C4×D5—264no—
552C2×C4×D5—232no—
553C2×C4×D5—44no—
554C2×C4×D5C2×D418yescomplemented
555C2×C4×D5C2414yes—
556C2×C4×D5C2414yes—
557C2×C4×D5C2418yes—
558C2×C4×D5C2414yes—
559C2×C4×D5C2418yes—
560C2×C4×D5C2418yes—
561C2×C4×D5C2414yes—
562C2×C4×D5C2418yes—
563C2×C4×D5C2418yes—
564C2×C4×D5C2414yes—
565C2×Dic10—24no—
566C2×Dic10—28no—
567C2×Dic10C2×D418yescomplemented
568C2×Dic10C2414yes—
569C2×Dic10C2418yes—
570C2×Dic10C2414yes—
571C5×C4⋊C4C2414yes—
572C5×C4⋊C4C2414yes—
573C5×C4⋊C4C2418yes—
574C5×C22⋊C4C2414yes—
575C5×C22⋊C4C2418yes—
576C5×C22⋊C4C2418yes—
577C5×C22⋊C4C2418yes—
578C5×C22⋊C4C2418yes—
579C5×C22⋊C4C2414yes—
580C5×C22⋊C4C2418yes—
581C42×C5C2414yes—
582C22⋊Dic5C2414yes—
583C22⋊Dic5C2418yes—
584C22⋊Dic5C2418yes—
585C22⋊Dic5C2414yes—
586#685C2414yes—
587#685C2414yes—
588#685C2414yes—
589#685C2414yes—
590#685C2418yes—
591#685C2418yes—
592#685C2418yes—
593#685C2418yes—
594#685C2418yes—
595#685C2414yes—
596#685C2414yes—
597#685C2418yes—
598#685C2418yes—
599C4⋊Dic5C2414yes—
600C4⋊Dic5C2414yes—
601#683C2418yes—
602#683C2414yes—
603#683C2414yes—
604#683C2418yes—
605#683C2418yes—
606#683C2414yes—
607#683C2414yes—
608#683C2418yes—
609C4×Dic5C2418yes—
610C4×Dic5C2414yes—
611C4×Dic5C2418yes—
612C2×H(5,𝔽2)—516no—
613C2×H(5,𝔽2)—1016no—
614C22×#41—516no—
615C22×#41—51no—
616C22×#41—51no—
617C22×#41—52no—
618C22×#41—52no—
619C22×#41—51no—
620C22×#41—52no—
621C22×#41—51no—
622C22×#41—51no—
623C22×#41—51no—
624C22×#41—1016no—
625C22×#41C2×D511yescharacteristic, complemented
626C23×Q8—51no—
627C23×D4—52no—
628C23×D4—52no—
629C23×D4—52no—
630C23×D4—52no—
631C23×D4—51no—
632C23×D4—51no—
633C23×D4—52no—
634C23×D4—51no—
635C23×D4—52no—
636C23×D4—52no—
637C23×D4C2×D511yescharacteristic, complemented
638C24×C4—52no—
639C24×C4—51no—
640#550—516no—
641#550—516no—
642#548—516no—
643#548—516no—
644#546—516no—
645#546—532no—
646#546—532no—
647#546C2×D5116yescomplemented
648D42—516no—
649D42—532no—
650D42—532no—
651D42—516no—
652#537—516no—
653#537—532no—
654#535—516no—
655#535—532no—
656C2×#127—52no—
657C2×#127—52no—
658C2×#127—51no—
659C2×#127—51no—
660C2×#124—51no—
661C2×#124—52no—
662C2×#124—52no—
663C2×#124C2×D511yescharacteristic, complemented
664#525—532no—
665#525—516no—
666C2×#123—52no—
667C2×#123—51no—
668C2×#123—51no—
669C2×#123C2×D512yescomplemented
670C2×C22⋊Q8—51no—
671C2×C22⋊Q8—51no—
672C2×C22⋊Q8—52no—
673C2×C22⋊Q8—52no—
674C2×C22⋊Q8—51no—
675C2×C22⋊Q8—52no—
676C2×C22⋊Q8C2×D511yescharacteristic, complemented
677C2×#121—51no—
678C2×#121—52no—
679C2×#121—51no—
680C2×#121—52no—
681C2×#121—52no—
682C2×#121—52no—
683C2×#121—51no—
684C2×#121—52no—
685C2×#121—51no—
686C2×#121—516no—
687C2×#121—51no—
688C2×#121—52no—
689C2×#121—51no—
690C2×#121—52no—
691C2×#121—51no—
692C2×#121—52no—
693C2×#121—52no—
694C2×#121—52no—
695C2×#121—52no—
696C2×#121—52no—
697C2×#121—52no—
698C2×#121—52no—
699C2×#121—52no—
700C2×#121—52no—
701C2×#121—532no—
702C2×#121C2×D511yescharacteristic, complemented
703C2×#121C2×D512yescomplemented
704C2×#120—52no—
705C2×#120—52no—
706C2×#120—51no—
707C2×#120—52no—
708C2×#120—51no—
709C2×#120—52no—
710C2×#120—52no—
711C2×#120—52no—
712C2×#120—52no—
713C2×#120C2×D512yescomplemented
714#520—516no—
715C2×C4×Q8—51no—
716C2×C4×Q8—51no—
717C2×C4×D4—51no—
718C2×C4×D4—52no—
719C2×C4×D4—51no—
720C2×C4×D4—51no—
721C2×C4×D4—52no—
722C2×C4×D4—52no—
723C2×C4×D4—52no—
724C2×C4×D4—52no—
725C2×C4×D4—52no—
726C2×C4×D4—51no—
727C2×C4×D4C2×D511yescharacteristic, complemented
728C2×C4×D4C2×D511yescharacteristic, complemented
729C2×#117—52no—
730C2×#117—51no—
731C22×C4⋊C4—52no—
732C22×C4⋊C4—51no—
733C22×C22⋊C4—52no—
734C22×C22⋊C4—52no—
735C22×C22⋊C4C2×D512yescomplemented
736C23×C5—24no—
737C23×C5—24no—
738C23×C5—22no—
739C23×C5—24no—
740C23×C5—22no—
741C23×C5—22no—
742C23×C5—24no—
743C23×C5—22no—
744C23×C5—22no—
745C23×C5—24no—
746C23×C5—22no—
747C23×C5—216no—
748C23×C5—48no—
749C23×C5—48no—
750C23×C5—816no—
751C23×C5C22×D418yes—
752C23×C5C2514yes—
753C23×C5C2512yes—
754C23×C5C2512yes—
755C23×C5C2514yes—
756C23×C5C2511yescharacteristic
757C22×D5—22no—
758C22×D5—22no—
759C22×D5—22no—
760C22×D5—22no—
761C22×D5—24no—
762C22×D5—216no—
763C22×D5—22no—
764C22×D5—24no—
765C22×D5—22no—
766C22×D5—24no—
767C22×D5—24no—
768C22×D5—24no—
769C22×D5—24no—
770C22×D5—22no—
771C22×D5—216no—
772C22×D5—28no—
773C22×D5—216no—
774C22×D5—28no—
775C22×D5—216no—
776C22×D5—44no—
777C22×D5—48no—
778C22×D5—416no—
779C22×D5—48no—
780C22×D5—48no—
781C22×D5—48no—
782C22×D5—48no—
783C22×D5—432no—
784C22×D5—816no—
785C22×D5—816no—
786C22×D5C22×D414yes—
787C22×D5H(5,𝔽2)14yescomplemented
788C22×D5C2512yes—
789C22×D5C2514yes—
790C22×D5C2514yes—
791C22×D5C2512yes—
792C22×D5C2512yes—
793C5×Q8—28no—
794C5×D4—216no—
795C5×D4—216no—
796C5×D4—28no—
797C5×D4—48no—
798C5×D4—44no—
799C5×D4C22×D4116yescomplemented
800C2×C4×C5—22no—
801C2×C4×C5—24no—
802C2×C4×C5—22no—
803C2×C4×C5—216no—
804C2×C4×C5—24no—
805C2×C4×C5—22no—
806C2×C4×C5—22no—
807C2×C4×C5—28no—
808C2×C4×C5—28no—
809C2×C4×C5—48no—
810C2×C4×C5C22×D414yes—
811C2×C4×C5C2512yes—
812C2×C4×C5C2514yes—
813C2×C4×C5C2512yes—
814C2×C4×C5C2514yes—
815C2×C4×C5C2512yes—
816C2×C4×C5C2512yes—
817C2×C4×C5C2512yes—
818C22⋊D5—216no—
819C22⋊D5—216no—
820C22⋊D5—28no—
821C22⋊D5—216no—
822C22⋊D5—28no—
823C22⋊D5—216no—
824C22⋊D5—216no—
825C22⋊D5—28no—
826C22⋊D5—216no—
827C22⋊D5—216no—
828C22⋊D5—48no—
829C22⋊D5—48no—
830C22⋊D5—48no—
831C22⋊D5—48no—
832C22⋊D5—44no—
833C22⋊D5C22×D4132yescomplemented
834C2×Dic5—22no—
835C2×Dic5—22no—
836C2×Dic5—24no—
837C2×Dic5—22no—
838C2×Dic5—22no—
839C2×Dic5—28no—
840C2×Dic5—216no—
841C2×Dic5—48no—
842C2×Dic5C22×D418yes—
843C2×Dic5C22×D414yes—
844C2×Dic5C22×D4132yescomplemented
845C2×Dic5C2512yes—
846C2×Dic5C2512yes—
847C2×Dic5C2514yes—
848C2×Dic5C2512yes—
849C2×Dic5C2512yes—
850C2×Dic5C2514yes—
851C2×Dic5C2512yes—
852D20—28no—
853D20—216no—
854D20—28no—
855D20—216no—
856D20—28no—
857D20—28no—
858D20—48no—
859D20—48no—
860D20—48no—
861C4×D5—28no—
862C4×D5—28no—
863C4×D5—28no—
864C4×D5—28no—
865C4×D5—216no—
866C4×D5—216no—
867C4×D5—216no—
868C4×D5—216no—
869C4×D5—48no—
870C4×D5C22×D4116yescomplemented
871Dic10—28no—
872Dic10—216no—
873Dic10C22×D4116yescomplemented
874C25—51no—
875C25—52no—
876C25—52no—
877C25—52no—
878C25C22×D512yes—
879H(5,𝔽2)—10128no—
880C2×#41—28no—
881C2×#41—58no—
882C2×#41—516no—
883C2×#41—58no—
884C2×#41—516no—
885C2×#41—516no—
886C2×#41—58no—
887C2×#41—58no—
888C2×#41—516no—
889C2×#41—58no—
890C2×#41—58no—
891C2×#41—108no—
892C2×#41—1016no—
893C2×#41—108no—
894C2×#41—108no—
895C2×#41—1016no—
896C2×#41—1016no—
897C2×#41—108no—
898C2×#41—108no—
899C2×#41—10128no—
900C2×#41C22×D518yescomplemented
901C22×Q8—58no—
902C22×Q8—51no—
903C22×Q8—51no—
904C22×Q8—52no—
905C22×Q8—108no—
906C22×Q8C22×D511yescharacteristic
907C22×D4—28no—
908C22×D4—52no—
909C22×D4—52no—
910C22×D4—51no—
911C22×D4—52no—
912C22×D4—51no—
913C22×D4—52no—
914C22×D4—52no—
915C22×D4—51no—
916C22×D4—52no—
917C22×D4—52no—
918C22×D4—52no—
919C22×D4—516no—
920C22×D4—516no—
921C22×D4—51no—
922C22×D4—52no—
923C22×D4—52no—
924C22×D4—52no—
925C22×D4—52no—
926C22×D4—516no—
927C22×D4—58no—
928C22×D4—516no—
929C22×D4—58no—
930C22×D4—516no—
931C22×D4—58no—
932C22×D4—516no—
933C22×D4—52no—
934C22×D4—51no—
935C22×D4—52no—
936C22×D4—51no—
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—52no—
940C22×D4—52no—
941C22×D4—52no—
942C22×D4—516no—
943C22×D4—108no—
944C22×D4—1016no—
945C22×D4—1016no—
946C22×D4—1016no—
947C22×D4—1016no—
948C22×D4—108no—
949C22×D4—108no—
950C22×D4—208no—
951C22×D4—208no—
952C22×D4—208no—
953C22×D4C22×D512yes—
954C22×D4C22×D512yes—
955C22×D4C22×D511yescharacteristic
956C22×D4C22×D511yescharacteristic
957C22×D4C22×D512yes—
958C22×D4C22×D511yescharacteristic
959C22×D4C22×D518yescomplemented
960C23×C4—52no—
961C23×C4—51no—
962C23×C4—52no—
963C23×C4—51no—
964C23×C4—52no—
965C23×C4—51no—
966C23×C4—52no—
967C23×C4—51no—
968C23×C4—52no—
969C23×C4—52no—
970C23×C4—51no—
971C23×C4—51no—
972C23×C4—52no—
973C23×C4—516no—
974C23×C4—58no—
975C23×C4—52no—
976C23×C4—1016no—
977C23×C4—108no—
978C23×C4C22×D512yes—
979C23×C4C22×D511yescharacteristic
980C23×C4C22×D511yescharacteristic
981C23×C4C22×D512yes—
982#127—516no—
983#127—516no—
984#127—58no—
985#127—58no—
986#124—58no—
987#124—516no—
988#124—516no—
989#124C22×D518yescomplemented
990#123—516no—
991#123—58no—
992#123—58no—
993#123C22×D5116yescomplemented
994C22⋊Q8—58no—
995C22⋊Q8—58no—
996C22⋊Q8—516no—
997C22⋊Q8—516no—
998C22⋊Q8—58no—
999C22⋊Q8—516no—
1000C22⋊Q8C22×D518yescomplemented
1001#121—516no—
1002#121—58no—
1003#121—58no—
1004#121—516no—
1005#121—516no—
1006#121—516no—
1007#121—58no—
1008#121—516no—
1009#121—58no—
1010#121—58no—
1011#121—516no—
1012#121—58no—
1013#121—516no—
1014#121—58no—
1015#121—516no—
1016#121—516no—
1017#121—516no—
1018#121—516no—
1019#121—516no—
1020#121—516no—
1021#121—516no—
1022#121—516no—
1023#121—516no—
1024#121C22×D518yescomplemented
1025#121C22×D5116yescomplemented
1026#120—516no—
1027#120—516no—
1028#120—58no—
1029#120—516no—
1030#120—58no—
1031#120—516no—
1032#120—516no—
1033#120—516no—
1034#120—516no—
1035#120C22×D5116yescomplemented
1036C4×Q8—58no—
1037C4×Q8—58no—
1038C4×D4—58no—
1039C4×D4—516no—
1040C4×D4—58no—
1041C4×D4—58no—
1042C4×D4—516no—
1043C4×D4—516no—
1044C4×D4—516no—
1045C4×D4—516no—
1046C4×D4—516no—
1047C4×D4—58no—
1048C4×D4C22×D518yescomplemented
1049C4×D4C22×D518yescomplemented
1050#117—516no—
1051#117—58no—
1052C2×C4⋊C4—52no—
1053C2×C4⋊C4—51no—
1054C2×C4⋊C4—52no—
1055C2×C4⋊C4—52no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—516no—
1058C2×C4⋊C4—51no—
1059C2×C4⋊C4—51no—
1060C2×C4⋊C4—51no—
1061C2×C4⋊C4—52no—
1062C2×C4⋊C4—51no—
1063C2×C4⋊C4—58no—
1064C2×C4⋊C4C22×D511yescharacteristic
1065C2×C4⋊C4C22×D511yescharacteristic
1066C2×C4⋊C4C22×D512yes—
1067C2×C22⋊C4—52no—
1068C2×C22⋊C4—52no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—52no—
1073C2×C22⋊C4—52no—
1074C2×C22⋊C4—52no—
1075C2×C22⋊C4—52no—
1076C2×C22⋊C4—516no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—52no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—52no—
1084C2×C22⋊C4—52no—
1085C2×C22⋊C4—516no—
1086C2×C22⋊C4C22×D512yes—
1087C2×C22⋊C4C22×D511yescharacteristic
1088C2×C22⋊C4C22×D512yes—
1089C2×C22⋊C4C22×D512yes—
1090C2×C22⋊C4C22×D512yes—
1091C2×C22⋊C4C22×D512yes—
1092C2×C22⋊C4C22×D511yescharacteristic
1093C2×C22⋊C4C22×D5116yescomplemented
1094C2×C42—52no—
1095C2×C42—52no—
1096C2×C42—51no—
1097C2×C42C22×D511yescharacteristic
1098C22×C5—24no—
1099C22×C5—24no—
1100C22×C5—216no—
1101C22×C5—22no—
1102C22×C5—24no—
1103C22×C5—22no—
1104C22×C5—22no—
1105C22×C5—24no—
1106C22×C5—22no—
1107C22×C5—22no—
1108C22×C5—24no—
1109C22×C5—22no—
1110C22×C5—44no—
1111C22×C5—48no—
1112C22×C5—44no—
1113C22×C5—816no—
1114C22×C5C23×D418yes—
1115C22×C5C23×D412yes—
1116C22×C5C2×H(5,𝔽2)12yes—
1117C22×C5#58512yes—
1118C22×C5C2611yescharacteristic
1119C2×D5—22no—
1120C2×D5—22no—
1121C2×D5—22no—
1122C2×D5—22no—
1123C2×D5—28no—
1124C2×D5—28no—
1125C2×D5—24no—
1126C2×D5—22no—
1127C2×D5—24no—
1128C2×D5—22no—
1129C2×D5—24no—
1130C2×D5—24no—
1131C2×D5—24no—
1132C2×D5—24no—
1133C2×D5—22no—
1134C2×D5—416no—
1135C2×D5—432no—
1136C2×D5—48no—
1137C2×D5—44no—
1138C2×D5—48no—
1139C2×D5—816no—
1140C2×D5—816no—
1141C2×D5C23×D414yes—
1142C2×D5C2×H(5,𝔽2)14yescomplemented
1143C4×C5—22no—
1144C4×C5—24no—
1145C4×C5—22no—
1146C4×C5—24no—
1147C4×C5—22no—
1148C4×C5—22no—
1149C4×C5C23×D414yes—
1150Dic5—22no—
1151Dic5—22no—
1152Dic5—24no—
1153Dic5—22no—
1154Dic5—22no—
1155Dic5C23×D418yes—
1156Dic5C23×D414yes—
1157C24—28no—
1158C24—44no—
1159C24—44no—
1160C24—51no—
1161C24—51no—
1162C24—52no—
1163C24—51no—
1164C24—52no—
1165C24—54no—
1166C24—58no—
1167C24—58no—
1168C24—58no—
1169C24—104no—
1170C24—108no—
1171C24—104no—
1172C24—108no—
1173C24—108no—
1174C24—108no—
1175C24—204no—
1176C24—202no—
1177C24—204no—
1178C24—204no—
1179C24—204no—
1180C24—204no—
1181C24C23×D512yes—
1182C24C23×D511yescharacteristic
1183C24C23×D511yescharacteristic
1184C24C23×D512yes—
1185C24C23×D518yes—
1186#41—232no—
1187#41—564no—
1188#41—1032no—
1189#41—1064no—
1190#41—1032no—
1191#41—1032no—
1192#41—1064no—
1193#41—1064no—
1194#41—1032no—
1195#41—1032no—
1196C2×Q8—24no—
1197C2×Q8—58no—
1198C2×Q8—54no—
1199C2×Q8—54no—
1200C2×Q8—58no—
1201C2×Q8—108no—
1202C2×Q8—104no—
1203C2×Q8—1032no—
1204C2×Q8C23×D514yes—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—232no—
1208C2×D4—24no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—516no—
1212C2×D4—58no—
1213C2×D4—58no—
1214C2×D4—54no—
1215C2×D4—58no—
1216C2×D4—54no—
1217C2×D4—58no—
1218C2×D4—58no—
1219C2×D4—54no—
1220C2×D4—58no—
1221C2×D4—58no—
1222C2×D4—58no—
1223C2×D4—54no—
1224C2×D4—58no—
1225C2×D4—58no—
1226C2×D4—58no—
1227C2×D4—58no—
1228C2×D4—58no—
1229C2×D4—54no—
1230C2×D4—58no—
1231C2×D4—54no—
1232C2×D4—54no—
1233C2×D4—54no—
1234C2×D4—58no—
1235C2×D4—58no—
1236C2×D4—58no—
1237C2×D4—104no—
1238C2×D4—108no—
1239C2×D4—104no—
1240C2×D4—108no—
1241C2×D4—1032no—
1242C2×D4—104no—
1243C2×D4—108no—
1244C2×D4—108no—
1245C2×D4—108no—
1246C2×D4—108no—
1247C2×D4—1064no—
1248C2×D4—1064no—
1249C2×D4—1064no—
1250C2×D4—1064no—
1251C2×D4—104no—
1252C2×D4—108no—
1253C2×D4—104no—
1254C2×D4—108no—
1255C2×D4—108no—
1256C2×D4—1032no—
1257C2×D4—1032no—
1258C2×D4—104no—
1259C2×D4—104no—
1260C2×D4—204no—
1261C2×D4—204no—
1262C2×D4—204no—
1263C2×D4—2032no—
1264C2×D4—204no—
1265C2×D4—204no—
1266C2×D4—204no—
1267C2×D4—202no—
1268C2×D4—204no—
1269C2×D4—2032no—
1270C2×D4—2032no—
1271C2×D4D4×D518yescomplemented
1272C2×D4C23×D518yes—
1273C2×D4C23×D518yes—
1274C2×D4C23×D514yes—
1275C2×D4C23×D514yes—
1276C2×D4C23×D518yes—
1277C2×D4C23×D514yes—
1278C22×C4—28no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—44no—
1282C22×C4—516no—
1283C22×C4—58no—
1284C22×C4—52no—
1285C22×C4—51no—
1286C22×C4—58no—
1287C22×C4—54no—
1288C22×C4—58no—
1289C22×C4—54no—
1290C22×C4—51no—
1291C22×C4—52no—
1292C22×C4—51no—
1293C22×C4—51no—
1294C22×C4—51no—
1295C22×C4—58no—
1296C22×C4—54no—
1297C22×C4—58no—
1298C22×C4—54no—
1299C22×C4—58no—
1300C22×C4—58no—
1301C22×C4—54no—
1302C22×C4—54no—
1303C22×C4—58no—
1304C22×C4—58no—
1305C22×C4—104no—
1306C22×C4—108no—
1307C22×C4—108no—
1308C22×C4—108no—
1309C22×C4—1064no—
1310C22×C4—1032no—
1311C22×C4—108no—
1312C22×C4—104no—
1313C22×C4—104no—
1314C22×C4—108no—
1315C22×C4—104no—
1316C22×C4—104no—
1317C22×C4—204no—
1318C22×C4—204no—
1319C22×C4C23×D518yes—
1320C22×C4C23×D514yes—
1321C22×C4C23×D514yes—
1322C22×C4C23×D511yescharacteristic
1323C22×C4C23×D512yes—
1324C22×C4C23×D511yescharacteristic
1325C22×C4C23×D511yescharacteristic
1326C22×C4C23×D512yes—
1327C22×C4C23×D511yescharacteristic
1328C22×C4C23×D518yes—
1329C22×C4C23×D511yescharacteristic
1330C4⋊C4—58no—
1331C4⋊C4—54no—
1332C4⋊C4—58no—
1333C4⋊C4—58no—
1334C4⋊C4—54no—
1335C4⋊C4—54no—
1336C4⋊C4—54no—
1337C4⋊C4—54no—
1338C4⋊C4—58no—
1339C4⋊C4—54no—
1340C4⋊C4C23×D514yes—
1341C4⋊C4C23×D514yes—
1342C4⋊C4C23×D518yes—
1343C22⋊C4—58no—
1344C22⋊C4—58no—
1345C22⋊C4—54no—
1346C22⋊C4—54no—
1347C22⋊C4—54no—
1348C22⋊C4—58no—
1349C22⋊C4—58no—
1350C22⋊C4—58no—
1351C22⋊C4—58no—
1352C22⋊C4—54no—
1353C22⋊C4—54no—
1354C22⋊C4—54no—
1355C22⋊C4—54no—
1356C22⋊C4—58no—
1357C22⋊C4—54no—
1358C22⋊C4—58no—
1359C22⋊C4—58no—
1360C22⋊C4C23×D518yes—
1361C22⋊C4C23×D514yes—
1362C22⋊C4C23×D518yes—
1363C22⋊C4C23×D518yes—
1364C22⋊C4C23×D518yes—
1365C22⋊C4C23×D518yes—
1366C22⋊C4C23×D514yes—
1367C42—58no—
1368C42—58no—
1369C42—54no—
1370C42C23×D514yes—
1371C2×C5—28no—
1372C2×C5—42no—
1373C2×C5—44no—
1374C2×C5—42no—
1375C2×C5#348814yescomplemented
1376C2×C5C24×D411yescharacteristic
1377C2×C5C22×H(5,𝔽2)11yescharacteristic
1378C2×C5C2×#58511yescharacteristic
1379D5—24no—
1380D5—24no—
1381D5—44no—
1382D5—42no—
1383D5—44no—
1384C23—24no—
1385C23—24no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—24no—
1392C23—22no—
1393C23—24no—
1394C23—22no—
1395C23—216no—
1396C23—48no—
1397C23—48no—
1398C23—54no—
1399C23—54no—
1400C23—52no—
1401C23—52no—
1402C23—54no—
1403C23—52no—
1404C23—54no—
1405C23—816no—
1406C23—108no—
1407C23—1016no—
1408C23—108no—
1409C23—1016no—
1410C23—102no—
1411C23—102no—
1412C23—102no—
1413C23—102no—
1414C23—1016no—
1415C23—104no—
1416C23—104no—
1417C23—102no—
1418C23—104no—
1419C23—104no—
1420C23—102no—
1421C23—102no—
1422C23—104no—
1423C23—104no—
1424C23—1016no—
1425C23—208no—
1426C23—204no—
1427C23—208no—
1428C23—208no—
1429C23—208no—
1430C23—208no—
1431C23—2032no—
1432C23—2016no—
1433C23—4016no—
1434C23—4016no—
1435C23C2×D4×D518yes—
1436C23C24×D514yes—
1437C23C24×D512yes—
1438C23C24×D512yes—
1439C23C24×D514yes—
1440C23C24×D511yescharacteristic
1441Q8—28no—
1442Q8—516no—
1443Q8—1016no—
1444Q8—108no—
1445D4—216no—
1446D4—216no—
1447D4—28no—
1448D4—48no—
1449D4—44no—
1450D4—532no—
1451D4—108no—
1452D4—1016no—
1453D4—108no—
1454D4—1016no—
1455D4—108no—
1456D4—1016no—
1457D4—1016no—
1458D4—1016no—
1459D4—1016no—
1460D4—108no—
1461D4—1016no—
1462D4—108no—
1463D4—1016no—
1464D4—1016no—
1465D4—108no—
1466D4—108no—
1467D4—208no—
1468D4—208no—
1469D4—208no—
1470D4—208no—
1471D4—208no—
1472D4—208no—
1473D4—204no—
1474D4—208no—
1475D4C2×D4×D5116yescomplemented
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—216no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—28no—
1484C2×C4—28no—
1485C2×C4—48no—
1486C2×C4—54no—
1487C2×C4—58no—
1488C2×C4—532no—
1489C2×C4—54no—
1490C2×C4—52no—
1491C2×C4—516no—
1492C2×C4—52no—
1493C2×C4—54no—
1494C2×C4—52no—
1495C2×C4—52no—
1496C2×C4—52no—
1497C2×C4—108no—
1498C2×C4—1016no—
1499C2×C4—1016no—
1500C2×C4—1016no—
1501C2×C4—1016no—
1502C2×C4—108no—
1503C2×C4—108no—
1504C2×C4—1016no—
1505C2×C4—102no—
1506C2×C4—102no—
1507C2×C4—102no—
1508C2×C4—104no—
1509C2×C4—102no—
1510C2×C4—108no—
1511C2×C4—108no—
1512C2×C4—208no—
1513C2×C4—208no—
1514C2×C4C2×D4×D514yes—
1515C2×C4C24×D512yes—
1516C2×C4C24×D514yes—
1517C2×C4C24×D512yes—
1518C2×C4C24×D512yes—
1519C2×C4C24×D514yes—
1520C2×C4C24×D512yes—
1521C2×C4C24×D512yes—
1522C5C2×#348811yescharacteristic, complemented, Sylow
1523C22—24no—
1524C22—24no—
1525C22—216no—
1526C22—22no—
1527C22—22no—
1528C22—24no—
1529C22—22no—
1530C22—22no—
1531C22—24no—
1532C22—22no—
1533C22—24no—
1534C22—22no—
1535C22—44no—
1536C22—48no—
1537C22—44no—
1538C22—54no—
1539C22—54no—
1540C22—816no—
1541C22—102no—
1542C22—102no—
1543C22—102no—
1544C22—102no—
1545C22—108no—
1546C22—108no—
1547C22—104no—
1548C22—104no—
1549C22—102no—
1550C22—104no—
1551C22—104no—
1552C22—102no—
1553C22—102no—
1554C22—104no—
1555C22—104no—
1556C22—2032no—
1557C22—2016no—
1558C22—208no—
1559C22—204no—
1560C22—208no—
1561C22—4016no—
1562C22—4016no—
1563C22C22×D4×D518yes—
1564C22C22×D4×D512yes—
1565C22#6628312yes—
1566C22D5×H(5,𝔽2)12yes—
1567C22C25×D511yescharacteristic
1568C4—22no—
1569C4—22no—
1570C4—24no—
1571C4—22no—
1572C4—22no—
1573C4—24no—
1574C4—54no—
1575C4—58no—
1576C4—102no—
1577C4—102no—
1578C4—102no—
1579C4—104no—
1580C4—102no—
1581C4C22×D4×D514yes—
1582C2—28no—
1583C2—42no—
1584C2—44no—
1585C2—42no—
1586C2—104no—
1587C2—104no—
1588C2—204no—
1589C2—202no—
1590C2—204no—
1591C2#1061853014yesdirect product factor
1592C2C23×D4×D511yescharacteristic
1593C2C2×#6628311yescharacteristic
1594C2C2×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#546C2
socleC23×C5C25
hypercenterC2×#546D5
hypocenterC5C2×#3488
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. C22×#4144C2semidirect
3. C2×C5×#546C2semidirect
4. C2×#66163C2semidirect
5. C2×D4×C22⋊D5C2semidirect
6. #10618530C2direct (N × H)
7. C2×#66011C2semidirect
8. C2×#66008C2semidirect
9. C2×#65988C2semidirect
10. C2×#65990C2semidirect
11. C2×#65967C2semidirect
12. C2×#65963C2semidirect
13. C2×#65943C2semidirect
14. C2×D5×#121C2semidirect
15. C2×#65933C2semidirect
16. C2×#65931C2semidirect
17. C2×#65924C2semidirect
18. C2×#65926C2semidirect
19. C2×D4×D20C2semidirect
20. C2×#65881C2semidirect
21. C2×#65887C2semidirect
22. C2×#65880C2semidirect
23. C2×#65824C2semidirect
24. C22×#4030C2semidirect
25. C22×C5×#41C22semidirect
26. C23×C5×D4C22semidirect
27. C23×C22⋊D5C22semidirect
28. C23×C22⋊D5C22semidirect
29. C23×C22⋊D5C22semidirect
31. C2×D5×#41C22semidirect
32. C22×#713C22semidirect
33. C22×Q8×D5C22semidirect
35. C2×#4144C22semidirect
37. C22×#711C22semidirect
38. C22×#711C22semidirect
39. C22×#711C22semidirect
40. C22×D4×D5C22semidirect
41. C22×D4×D5C22semidirect
42. C22×D4×D5C22semidirect
43. C22×D4×D5C22semidirect
44. C22×D4×D5C22semidirect
45. C22×D4×D5C22semidirect
46. C22×#709C22semidirect
47. C22×#709C22semidirect
48. C22×#709C22semidirect
49. C22×#709C22semidirect
50. C23×D20C22semidirect
51. C23×C4×D5C22semidirect
52. C23×C4×D5C22semidirect
53. C5×#546C22semidirect
54. C2×C5×#124C22semidirect
55. C2×C5×#123C22semidirect
56. C2×C5×C22⋊Q8C22semidirect
57. C2×C5×#121C22semidirect
58. C2×C5×#121C22semidirect
59. C2×C5×#120C22semidirect
60. C2×C4×C5×D4C22semidirect
61. C2×C4×C5×D4C22semidirect
62. C22×C5×C22⋊C4C22semidirect
63. C2×#4099C22semidirect
64. #66163C22semidirect
65. C2×#4093C22semidirect
66. C2×#4092C22semidirect
67. C2×#4086C22semidirect
68. C2×#4086C22semidirect
69. C2×#4086C22semidirect
70. C2×#4085C22semidirect
71. C2×#4085C22semidirect
72. C2×#4085C22semidirect
73. C2×#4085C22semidirect
74. C2×#4085C22semidirect
75. D4×C22⋊D5C22semidirect
76. C2×#4084C22semidirect
77. C2×#4083C22semidirect
78. C2×#4083C22semidirect
79. C2×#4083C22semidirect
80. C2×D4×Dic5C22semidirect
81. C2×#4076C22semidirect
82. C2×#4076C22semidirect
83. C2×#4076C22semidirect
84. C2×#4075C22semidirect
85. C2×C4×C22⋊D5C22semidirect
86. C2×C4×C22⋊D5C22semidirect
87. C2×C4×C22⋊D5C22semidirect
88. C22×#685C22semidirect
89. C22×#683C22semidirect
90. #66011C22semidirect
91. #66008C22semidirect
92. #65990C22semidirect
93. #65988C22semidirect
94. #65967C22semidirect
95. #65963C22semidirect
96. #65943C22semidirect
97. D5×#121C22semidirect
98. #65933C22semidirect
99. #65931C22semidirect
100. #65926C22semidirect
101. #65924C22semidirect
102. #65887C22semidirect
103. D4×D20C22semidirect
104. #65881C22semidirect
105. #65880C22semidirect
106. C2×#4042C22semidirect
107. C2×#4042C22semidirect
108. C2×#4042C22semidirect
109. C2×#4041C22semidirect
110. C2×#4041C22semidirect
111. C2×#4041C22semidirect
112. C2×#4040C22semidirect
113. C2×#4039C22semidirect
114. C2×#4039C22semidirect
115. C2×D5×C4⋊C4C22semidirect
116. C2×#4033C22semidirect
117. C2×#4031C22semidirect
118. C2×#4031C22semidirect
119. #65824C22semidirect
120. C2×#4030C22semidirect
121. C2×#4030C22semidirect
122. C2×#4030C22semidirect
123. C2×#4030C22semidirect
124. C2×#4030C22semidirect
125. C2×#4030C22semidirect
126. C2×#4030C22semidirect
127. C2×#4030C22semidirect
128. C2×#4030C22semidirect
129. C2×#4030C22semidirect
130. C2×#4030C22semidirect
131. C2×#4030C22semidirect
132. C2×#4029C22semidirect
133. C2×#4028C22semidirect
134. C2×#4028C22semidirect
135. C2×#4028C22semidirect
136. C2×#4028C22semidirect
137. C2×#4028C22semidirect
138. C2×#4027C22semidirect
139. C2×#4027C22semidirect
140. C2×#4027C22semidirect
141. C2×D5×C22⋊C4C22semidirect
142. C2×#4024C22semidirect
143. C2×#4024C22semidirect
144. C2×#4023C22semidirect
145. C2×#4020C22semidirect
146. C2×C4×D20C22semidirect
147. C2×#4018C22semidirect
148. C2×C4×Dic10C22semidirect
156. C2×C5×#41C23semidirect
165. C22×C5×D4C23semidirect
189. C22×C22⋊D5C23semidirect
190. C22×C22⋊D5C23semidirect
191. C22×C22⋊D5C23semidirect
198. C2×#713C23semidirect
200. C2×Q8×D5C23semidirect
205. C2×#711D4semidirect
207. C2×#711C23semidirect
208. C2×#711C23semidirect
209. C2×#711C23semidirect
216. C2×D4×D5C23semidirect
217. C2×D4×D5C23semidirect
218. C2×D4×D5C23semidirect
219. C2×D4×D5C23semidirect
220. C2×D4×D5C23semidirect
221. C2×D4×D5C23semidirect
226. C2×#709C23semidirect
227. C2×#709C23semidirect
228. C2×#709C23semidirect
229. C2×#709C23semidirect
240. C22×D20C23semidirect
253. C22×C4×D5C23semidirect
254. C22×C4×D5C23semidirect
258. C5×#124C23semidirect
259. C5×#123C23semidirect
260. C5×C22⋊Q8C23semidirect
261. C5×#121C23semidirect
262. C5×#121C23semidirect
263. C5×#120C23semidirect
264. C4×C5×D4C23semidirect
265. C4×C5×D4C23semidirect
276. C2×C5×C22⋊C4C23semidirect
278. #4099C23semidirect
283. #4093C23semidirect
284. #4092C23semidirect
285. #4086C23semidirect
286. #4086C23semidirect
287. #4086C23semidirect
288. #4085C23semidirect
289. #4085C23semidirect
290. #4085C23semidirect
291. #4085C23semidirect
292. #4085C23semidirect
293. #4084C23semidirect
294. #4083C23semidirect
295. #4083C23semidirect
296. #4083C23semidirect
297. D4×Dic5C23semidirect
298. #4076C23semidirect
299. #4076C23semidirect
300. #4076C23semidirect
301. #4075C23semidirect
302. C4×C22⋊D5C23semidirect
303. C4×C22⋊D5C23semidirect
304. C4×C22⋊D5C23semidirect
318. C2×#685C23semidirect
329. C2×#683C23semidirect
333. #4042C23semidirect
334. #4042C23semidirect
335. #4042C23semidirect
336. #4041C23semidirect
337. #4041C23semidirect
338. #4041C23semidirect
339. #4040C23semidirect
340. #4039C23semidirect
341. #4039C23semidirect
342. D5×C4⋊C4C23semidirect
343. #4033C23semidirect
344. #4031C23semidirect
345. #4031C23semidirect
346. #4030C23semidirect
347. #4030C23semidirect
348. #4030C23semidirect
349. #4030C23semidirect
350. #4030C23semidirect
351. #4030C23semidirect
352. #4030C23semidirect
353. #4030C23semidirect
354. #4030C23semidirect
355. #4030C23semidirect
356. #4030C23semidirect
357. #4029C23semidirect
358. #4028C23semidirect
359. #4028C23semidirect
360. #4028C23semidirect
361. #4028C23semidirect
362. #4028C23semidirect
363. #4027C23semidirect
364. #4027C23semidirect
365. #4027C23semidirect
366. D5×C22⋊C4C23semidirect
367. #4024C23semidirect
368. #4024C23semidirect
369. #4023C23semidirect
370. #4020C23semidirect
371. C4×D20C23semidirect
372. #4018C23semidirect
373. C4×Dic10C23semidirect
384. C2×#546D5semidirect
436. C2×C5×D4C2×D4semidirect
476. C2×C22⋊D5C2×D4semidirect
496. C22×Dic5C2×D4semidirect
513. #711C2×D4semidirect
554. C2×C4×D5C2×D4semidirect
567. C2×Dic10C2×D4semidirect
625. C22×#41C2×D5semidirect
637. C23×D4C2×D5semidirect
647. #546C2×D5semidirect
663. C2×#124C2×D5semidirect
669. C2×#123C2×D5semidirect
676. C2×C22⋊Q8C2×D5semidirect
702. C2×#121C2×D5semidirect
703. C2×#121C2×D5semidirect
713. C2×#120C2×D5semidirect
727. C2×C4×D4C2×D5semidirect
728. C2×C4×D4C2×D5semidirect
735. C22×C22⋊C4C2×D5semidirect
787. C22×D5H(5,𝔽2)semidirect
799. C5×D4C22×D4semidirect
833. C22⋊D5C22×D4semidirect
844. C2×Dic5C22×D4semidirect
870. C4×D5C22×D4semidirect
873. Dic10C22×D4semidirect
900. C2×#41C22×D5semidirect
959. C22×D4C22×D5semidirect
989. #124C22×D5semidirect
993. #123C22×D5semidirect
1000. C22⋊Q8C22×D5semidirect
1024. #121C22×D5semidirect
1025. #121C22×D5semidirect
1035. #120C22×D5semidirect
1048. C4×D4C22×D5semidirect
1049. C4×D4C22×D5semidirect
1093. C2×C22⋊C4C22×D5semidirect
1142. C2×D5C2×H(5,𝔽2)semidirect
1271. C2×D4D4×D5semidirect
1375. C2×C5#3488semidirect
1475. D4C2×D4×D5semidirect
1522. C5C2×#3488semidirect
1591. C2#10618530direct (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
C22×#41442
C2×C5×#5462
C2×#661632
C2×D4×C22⋊D52
#106185302
C2×#660112
C2×#660082
C2×#659882
C2×#659902
C2×#659672
C2×#659632
C2×#659432
C2×D5×#1212
C2×#659332
C2×#659312
C2×#659242
C2×#659262
C2×D4×D202
C2×#658812
C2×#658872
C2×#658802
C2×#658242
C22×#40302
C2×#34885