Finite Group Databasebeta

← #12308154

Subgroups — #12308154

Order 1280.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2849C211yesmaximal, characteristic, complemented
2#10615762C211yesmaximal, characteristic, complemented
3C2×#65502C211yesmaximal, characteristic, complemented
4#10614616C211yesmaximal, characteristic, complemented
5#10614611C211yesmaximal, characteristic, complemented
6#10614610C211yesmaximal, characteristic, complemented
7#10614600C211yesmaximal, characteristic, complemented
8#10614320C211yesmaximal, characteristic, complemented
9#10614313C211yesmaximal, characteristic
10#10606637C211yesmaximal, characteristic, complemented
11#10606560C211yesmaximal, characteristic, complemented
12#10606553C211yesmaximal, characteristic, complemented
13#10606531C211yesmaximal, characteristic, complemented
14#10606527C211yesmaximal, characteristic, complemented
15#10606494C211yesmaximal, characteristic, complemented
16#10606459C211yesmaximal, characteristic, complemented
17#10606394C211yesmaximal, characteristic, complemented
18#10606352C211yesmaximal, characteristic, complemented
19#10606310C211yesmaximal, characteristic, complemented
20#10606281C211yesmaximal, characteristic, complemented
21#10606268C211yesmaximal, characteristic, complemented
22#10606262C211yesmaximal, characteristic, complemented
23#10606203C211yesmaximal, characteristic, complemented
24#10606184C211yesmaximal, characteristic, complemented
25#10606118C211yesmaximal, characteristic, complemented
26#10605841C211yesmaximal, characteristic, complemented
27#10605839C211yesmaximal, characteristic, complemented
28#10605831C211yesmaximal, characteristic, complemented
29#10605829C211yesmaximal, characteristic, complemented
30#10605561C211yesmaximal, characteristic, complemented
31#10605558C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C2×C5×#123C2211yescharacteristic, complemented
35C2×C5×#123C2211yescharacteristic, complemented
36C2×C5×#120C2211yescharacteristic
37C22×C22⋊Dic5C2211yescharacteristic
38C2×#4085C2211yescharacteristic
39C2×#4085C2211yescharacteristic
40C2×#4083C2211yescharacteristic
41C2×#4082C2211yescharacteristic, complemented
42C2×D4×Dic5C2211yescharacteristic
43C22×#685C2211yescharacteristic
44C22×#685C2211yescharacteristic
45C2×#4070C2211yescharacteristic
46C2×#4070C2211yescharacteristic, complemented
47C2×#4070C2211yescharacteristic, complemented
48C2×#4044C2211yescharacteristic, complemented
49C2×#4031C2211yescharacteristic
50C2×#4031C2211yescharacteristic
51C2×#4031C2211yescharacteristic, complemented
52C2×#4025C2211yescharacteristic, complemented
53C2×#4024C2211yescharacteristic
54C2×#4024C2211yescharacteristic
55C5×#386C2211yescharacteristic
56C5×#386C2211yescharacteristic
57C5×#386C2211yescharacteristic, complemented
58C5×#386C2211yescharacteristic, complemented
59C5×#385C2211yescharacteristic
60C5×#385C2211yescharacteristic
61C5×#385C2211yescharacteristic, complemented
62C5×#385C2211yescharacteristic, complemented
63C5×#381C2211yescharacteristic, complemented
64C5×#381C2211yescharacteristic, complemented
65C5×#379C2211yescharacteristic
66#65536C2211yescharacteristic
67#65536C2211yescharacteristic
68#65512C2211yescharacteristic
69#65512C2211yescharacteristic
70#65511C2211yescharacteristic, complemented
71#65511C2211yescharacteristic, complemented
72#65510C2211yescharacteristic, complemented
73#65509C2211yescharacteristic
74#65509C2211yescharacteristic
75#65502C2211yescharacteristic
76#65502C2211yescharacteristic
77#65502C2211yescharacteristic
78#65502C2211yescharacteristic
79#65502C2211yescharacteristic
80#65502C2211yescharacteristic
81#65502C2211yescharacteristic
82#65502C2211yescharacteristic
83#65501C2211yescharacteristic
84#65501C2211yescharacteristic, complemented
85#65501C2211yescharacteristic, complemented
86#65499C2211yescharacteristic
87#65499C2211yescharacteristic
88#65499C2211yescharacteristic, complemented
89#65499C2211yescharacteristic, complemented
90#65499C2211yescharacteristic, complemented
91#65499C2211yescharacteristic, complemented
92C2×#3963C2211yescharacteristic
93C2×#3963C2211yescharacteristic
94#65283C2211yescharacteristic, complemented
95#65283C2211yescharacteristic, complemented
96#65283C2211yescharacteristic, complemented
97#65282C2211yescharacteristic, complemented
98#65281C2211yescharacteristic, complemented
99#65281C2211yescharacteristic, complemented
100#65279C2211yescharacteristic, complemented
101#65274C2211yescharacteristic, complemented
102#65273C2211yescharacteristic, complemented
103#65268C2211yescharacteristic, complemented
104#65267C2211yescharacteristic, complemented
105#65263C2211yescharacteristic, complemented
106#65262C2211yescharacteristic, complemented
107#65262C2211yescharacteristic, complemented
108#65261C2211yescharacteristic, complemented
109#65250C2211yescharacteristic
110#65250C2211yescharacteristic
111#65250C2211yescharacteristic
112#65250C2211yescharacteristic
113#65250C2211yescharacteristic, complemented
114#65250C2211yescharacteristic, complemented
115#65250C2211yescharacteristic, complemented
116#65248C2211yescharacteristic
117#65248C2211yescharacteristic
118#65248C2211yescharacteristic, complemented
119#65248C2211yescharacteristic, complemented
120#65248C2211yescharacteristic, complemented
121#65246C2211yescharacteristic
122#65246C2211yescharacteristic
123#65246C2211yescharacteristic
124#65246C2211yescharacteristic
125#65246C2211yescharacteristic, complemented
126#65244C2211yescharacteristic
127#65244C2211yescharacteristic
128#65244C2211yescharacteristic
129#65242C2211yescharacteristic, complemented
130#65242C2211yescharacteristic, complemented
131#65241C2211yescharacteristic, complemented
132#65241C2211yescharacteristic, complemented
133#65240C2211yescharacteristic, complemented
134#65239C2211yescharacteristic
135#65239C2211yescharacteristic, complemented
136#65238C2211yescharacteristic, complemented
137#65237C2211yescharacteristic, complemented
138#65236C2211yescharacteristic, complemented
139#65236C2211yescharacteristic, complemented
140#65235C2211yescharacteristic
141#65235C2211yescharacteristic, complemented
142#65234C2211yescharacteristic, complemented
143#65234C2211yescharacteristic, complemented
144#65234C2211yescharacteristic, complemented
145#65234C2211yescharacteristic, complemented
146#65233C2211yescharacteristic, complemented
147#65233C2211yescharacteristic, complemented
148#65232C2211yescharacteristic, complemented
149#65231C2211yescharacteristic
150#65231C2211yescharacteristic
151#65231C2211yescharacteristic, complemented
152C22⋊C4×Dic5C2211yescharacteristic
153C22⋊C4×Dic5C2211yescharacteristic
154C22⋊C4×Dic5C2211yescharacteristic
155#64965C2211yescharacteristic, complemented
156#64965C2211yescharacteristic, complemented
157#64964C2211yescharacteristic, complemented
158#64964C2211yescharacteristic, complemented
159#64964C2211yescharacteristic, complemented
160#64964C2211yescharacteristic, complemented
161#64963C2211yescharacteristic, complemented
162#64963C2211yescharacteristic, complemented
163#64963C2211yescharacteristic, complemented
164#64962C2211yescharacteristic, complemented
165#64962C2211yescharacteristic, complemented
166#64962C2211yescharacteristic, complemented
167#64959C2211yescharacteristic, complemented
168#64959C2211yescharacteristic, complemented
169#64958C2211yescharacteristic, complemented
170#64958C2211yescharacteristic, complemented
171#64949C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64945C2211yescharacteristic, complemented
174#64945C2211yescharacteristic, complemented
175#64944C2211yescharacteristic, complemented
176#64943C2211yescharacteristic, complemented
177#64943C2211yescharacteristic, complemented
178#64942C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64940C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36793—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5—42no—
194C23×C4×C5—42no—
195C23×C4×C5—42no—
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C22×C22⋊D5—24no—
203C22×C22⋊D5—42no—
204C22×C22⋊D5—42no—
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C22×Dic10C2311yescharacteristic
216C22×Dic10C2311yescharacteristic
217C22×Dic10C2311yescharacteristic
218C5×#123—42no—
219C5×#123—42no—
220C5×#120—42no—
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C22⋊Dic5—42no—
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260#4085—42no—
261#4085—42no—
262#4083—42no—
263#4082—42no—
264D4×Dic5—24no—
265C2×#685—42no—
266C2×#685—42no—
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297#4070—42no—
298#4070—42no—
299#4070—42no—
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323#4044—42no—
324#4031—42no—
325#4031—42no—
326#4031—42no—
327#4025—42no—
328#4024—24no—
329#4024—42no—
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#2849D511yescharacteristic, complemented
371#2848—51no—
372#2796—51no—
373#2761—51no—
374#2757—51no—
375#2751—51no—
376#2737—51no—
377#2730—51no—
378#2723—51no—
379#2715—51no—
380#2712—51no—
381#2710—51no—
382#2705—51no—
383#2701—51no—
384#2700—51no—
385#2691—51no—
386#2686—51no—
387#2672—51no—
388#2626—51no—
389#2622—51no—
390#2564—51no—
391#2549—51no—
392#2480—51no—
393#2480—51no—
394#2472—51no—
395#2472—51no—
396#2435—51no—
397#2408—51no—
398#2329—51no—
399#2318—51no—
400C2×#386—51no—
401C24×C5—22no—
402C24×C5—22no—
403C24×C5—22no—
404C24×C5—22no—
405C24×C5—22no—
406C24×C5—41no—
407C24×C5—41no—
408C24×C5C2411yescharacteristic
409C24×C5C2411yescharacteristic
410C24×C5C2411yescharacteristic
411C24×C5C2411yescharacteristic
412C23×D5—22no—
413C23×D5—22no—
414C23×D5—22no—
415C23×D5—41no—
416C23×D5—41no—
417C23×D5—41no—
418C23×D5—41no—
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C2×C5×D4—22no—
422C2×C5×D4—22no—
423C2×C5×D4—22no—
424C2×C5×D4—22no—
425C2×C5×D4—22no—
426C2×C5×D4—41no—
427C2×C5×D4—41no—
428C2×C5×D4—41no—
429C2×C5×D4—41no—
430C22×C4×C5—22no—
431C22×C4×C5—22no—
432C22×C4×C5—22no—
433C22×C4×C5—22no—
434C22×C4×C5—22no—
435C22×C4×C5—22no—
436C22×C4×C5—22no—
437C22×C4×C5—41no—
438C22×C4×C5—41no—
439C22×C4×C5—41no—
440C22×C4×C5—41no—
441C22×C4×C5—41no—
442C22×C4×C5—41no—
443C22×C4×C5—41no—
444C22×C4×C5—41no—
445C22×C4×C5—41no—
446C22×C4×C5—41no—
447C22×C4×C5—41no—
448C22×C4×C5—416no—
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C2×C22⋊D5—22no—
461C2×C22⋊D5—22no—
462C2×C22⋊D5—22no—
463C2×C22⋊D5—22no—
464C2×C22⋊D5—22no—
465C2×C22⋊D5—22no—
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—41no—
469C2×C22⋊D5—41no—
470C2×C22⋊D5—41no—
471C2×C22⋊D5—41no—
472C2×C22⋊D5—41no—
473C2×C22⋊D5—41no—
474C2×C22⋊D5—41no—
475C2×C22⋊D5—41no—
476C2×C22⋊D5—41no—
477C2×C22⋊D5—41no—
478C2×C22⋊D5—416no—
479C22×Dic5—22no—
480C22×Dic5—22no—
481C22×Dic5—22no—
482C22×Dic5—41no—
483C22×Dic5—41no—
484C22×Dic5—41no—
485C22×Dic5—41no—
486C22×Dic5—41no—
487C22×Dic5—41no—
488C22×Dic5—41no—
489C22×Dic5—41no—
490C22×Dic5#4114yes—
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C2×Dic10—22no—
506C2×Dic10—22no—
507C2×Dic10—41no—
508C2×Dic10—41no—
509C2×Dic10—41no—
510C2×Dic10—41no—
511C2×Dic10—41no—
512C2×Dic10—41no—
513C2×Dic10—41no—
514C5×C4⋊C4—22no—
515C5×C4⋊C4—41no—
516C5×C4⋊C4—41no—
517C5×C4⋊C4—41no—
518C5×C22⋊C4—22no—
519C5×C22⋊C4—22no—
520C5×C22⋊C4—22no—
521C5×C22⋊C4—22no—
522C5×C22⋊C4—22no—
523C5×C22⋊C4—22no—
524C5×C22⋊C4—41no—
525C5×C22⋊C4—41no—
526C5×C22⋊C4—41no—
527C5×C22⋊C4—41no—
528C5×C22⋊C4—41no—
529C5×C22⋊C4—41no—
530C5×C22⋊C4—41no—
531C22⋊Dic5—22no—
532C22⋊Dic5—22no—
533C22⋊Dic5—22no—
534C22⋊Dic5—22no—
535C22⋊Dic5—22no—
536C22⋊Dic5—22no—
537C22⋊Dic5—22no—
538C22⋊Dic5—22no—
539C22⋊Dic5—22no—
540C22⋊Dic5—22no—
541C22⋊Dic5—22no—
542C22⋊Dic5—41no—
543C22⋊Dic5—41no—
544C22⋊Dic5—41no—
545C22⋊Dic5—41no—
546C22⋊Dic5—41no—
547C22⋊Dic5—41no—
548C22⋊Dic5—41no—
549C22⋊Dic5—41no—
550C22⋊Dic5—41no—
551C22⋊Dic5—41no—
552#685—22no—
553#685—22no—
554#685—41no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560#685—41no—
561#685—41no—
562#685—41no—
563#685—41no—
564#685—41no—
565#685—41no—
566#685—41no—
567#685—41no—
568#685—41no—
569#685—41no—
570#685—41no—
571#685—41no—
572#685—41no—
573#685—41no—
574C4⋊Dic5—22no—
575C4⋊Dic5—22no—
576C4⋊Dic5—22no—
577C4⋊Dic5—41no—
578C4⋊Dic5—41no—
579C4⋊Dic5—41no—
580C4⋊Dic5—41no—
581C4⋊Dic5—41no—
582#683—22no—
583#683—22no—
584#683—41no—
585#683—41no—
586#683—41no—
587#683—41no—
588#683—41no—
589#683—41no—
590#683—41no—
591#683—41no—
592#683—41no—
593#683—41no—
594#683—41no—
595#683—41no—
596#683—41no—
597#683—41no—
598C4×Dic5—22no—
599C4×Dic5—41no—
600C4×Dic5—41no—
601C4×Dic5—41no—
602C4×Dic5—41no—
603C4×Dic5—41no—
604C4×Dic5—41no—
605C23×D4—51no—
606C24×C4C2×D511yescharacteristic
607C2×#126—51no—
608C2×#126—51no—
609C2×#124—51no—
610C2×#124—51no—
611C2×#124—51no—
612C2×#124—51no—
613C2×#123C2×D511yescharacteristic, complemented
614C2×#123C2×D511yescharacteristic, complemented
615C2×C22⋊Q8—51no—
616C2×C22⋊Q8—51no—
617C2×C22⋊Q8—51no—
618C2×C22⋊Q8—51no—
619C2×C22⋊Q8—51no—
620C2×#121—51no—
621C2×#121—51no—
622C2×#120—51no—
623C2×#120C2×D511yescharacteristic
624C2×C4×D4—51no—
625C22×C22⋊C4—51no—
626C22×C22⋊C4—51no—
627C22×C22⋊C4—51no—
628#400—51no—
629#399—51no—
630#399—51no—
631#399—51no—
632#398—51no—
633#398—51no—
634#397—51no—
635#397—51no—
636#397—51no—
637#397—51no—
638#397—51no—
639#397—51no—
640#397—51no—
641#397—51no—
642#397—51no—
643#397—51no—
644#397—51no—
645#397—51no—
646#396—51no—
647#396—51no—
648#396—51no—
649#396—51no—
650#396—51no—
651#396—51no—
652#395—51no—
653#395—51no—
654#395—51no—
655#394—51no—
656#394—51no—
657#394—51no—
658#394—51no—
659#394—51no—
660#394—51no—
661#394—51no—
662#394—51no—
663#394—51no—
664#394—51no—
665#394—51no—
666#394—51no—
667#394—51no—
668#394—51no—
669#393—51no—
670#393—51no—
671#393—51no—
672#393—51no—
673#393—51no—
674#392—51no—
675#392—51no—
676#391—51no—
677#391—51no—
678#391—51no—
679#391—51no—
680#390—51no—
681#390—51no—
682#390—51no—
683#390—51no—
684#390—51no—
685#390—51no—
686#389—51no—
687#389—51no—
688#389—51no—
689#389—51no—
690#388—51no—
691#388—51no—
692#388—51no—
693#388—51no—
694#388—51no—
695#388—51no—
696#388—51no—
697#388—51no—
698#388—51no—
699#388—51no—
700#388—51no—
701#388—51no—
702#387—51no—
703#387—51no—
704#387—51no—
705#387—51no—
706#387—51no—
707#387—51no—
708#387—51no—
709#387—51no—
710#386—51no—
711#386—51no—
712#386—51no—
713#386—51no—
714#386—51no—
715#386—51no—
716#386—51no—
717#386—51no—
718#386—51no—
719#386—51no—
720#386C2×D511yescharacteristic
721#386C2×D511yescharacteristic
722#386C2×D511yescharacteristic, complemented
723#386C2×D511yescharacteristic, complemented
724#385—51no—
725#385—51no—
726#385—51no—
727#385—51no—
728#385—51no—
729#385—51no—
730#385—51no—
731#385—51no—
732#385—51no—
733#385—51no—
734#385C2×D511yescharacteristic
735#385C2×D511yescharacteristic
736#385C2×D511yescharacteristic, complemented
737#385C2×D511yescharacteristic, complemented
738#383—51no—
739#382—51no—
740#381—51no—
741#381C2×D511yescharacteristic, complemented
742#381C2×D511yescharacteristic, complemented
743#380—51no—
744#380—51no—
745#380—51no—
746#380—51no—
747#380—51no—
748#380—51no—
749#379—51no—
750#379—51no—
751#379—51no—
752#379—51no—
753#379—51no—
754#379C2×D511yescharacteristic
755C4×C22⋊C4—51no—
756C4×C22⋊C4—51no—
757C4×C22⋊C4—51no—
758C2×#95—51no—
759C2×#95—51no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—28no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—21no—
774C23×C5—21no—
775C23×C5—21no—
776C23×C5—21no—
777C23×C5—21no—
778C23×C5—21no—
779C23×C5—21no—
780C23×C5—21no—
781C23×C5—21no—
782C23×C5—21no—
783C23×C5—21no—
784C23×C5—44no—
785C23×C5—44no—
786C23×C5—44no—
787C23×C5—44no—
788C23×C5—44no—
789C23×C5—44no—
790C23×C5C2×#4112yes—
791C23×C5H(5,𝔽2)12yes—
792C23×C5H(5,𝔽2)12yes—
793C23×C5H(5,𝔽2)12yes—
794C23×C52−1+412yes—
795C23×C5C2511yescharacteristic
796C22×D5—21no—
797C22×D5—21no—
798C22×D5—21no—
799C22×D5—21no—
800C22×D5—21no—
801C22×D5—21no—
802C22×D5—21no—
803C22×D5—21no—
804C22×D5—21no—
805C22×D5—21no—
806C22×D5—21no—
807C22×D5—21no—
808C22×D5—21no—
809C22×D5—21no—
810C22×D5—44no—
811C22×D5—44no—
812C22×D5—44no—
813C22×D5—82no—
814C22×D5—82no—
815C22×D5—82no—
816C22×D5—82no—
817C5×D4—44no—
818C5×D4—82no—
819C5×D4—82no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—44no—
853C2×C4×C5—44no—
854C2×C4×C5—44no—
855C2×C4×C5—44no—
856C2×C4×C5—44no—
857C2×C4×C5—44no—
858C2×C4×C5H(5,𝔽2)12yes—
859C22⋊D5—44no—
860C22⋊D5—44no—
861C22⋊D5—44no—
862C22⋊D5—44no—
863C22⋊D5—82no—
864C22⋊D5—82no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—44no—
906C2×Dic5—82no—
907C2×Dic5—82no—
908C2×Dic5—82no—
909C2×Dic5C2×#4112yes—
910C2×Dic5C2×#4112yes—
911Dic10—82no—
912Dic10—82no—
913Dic10—82no—
914C25—51no—
915C25C22×D511yescharacteristic
916C22×Q8—51no—
917C22×Q8—51no—
918C22×Q8—51no—
919C22×D4—51no—
920C22×D4—51no—
921C22×D4—51no—
922C22×D4—51no—
923C22×D4—51no—
924C22×D4—51no—
925C22×D4—104no—
926C22×D4—202no—
927C22×D4—202no—
928C22×D4C22×D511yescharacteristic
929C22×D4C22×D511yescharacteristic
930C22×D4C22×D511yescharacteristic
931C23×C4—42no—
932C23×C4—42no—
933C23×C4—42no—
934C23×C4—51no—
935C23×C4—51no—
936C23×C4—51no—
937C23×C4—51no—
938C23×C4C22×D511yescharacteristic
939C23×C4C22×D511yescharacteristic
940C23×C4C22×D511yescharacteristic
941C23×C4C22×D511yescharacteristic
942C23×C4C22×D511yescharacteristic
943C23×C4C22×D511yescharacteristic
944#126—202no—
945#126—202no—
946#124—202no—
947#124—202no—
948#124—202no—
949#124—202no—
950#123—42no—
951#123—42no—
952C22⋊Q8—104no—
953C22⋊Q8—202no—
954C22⋊Q8—202no—
955C22⋊Q8—202no—
956C22⋊Q8—202no—
957#121—202no—
958#121—202no—
959#120—42no—
960#120—202no—
961C4×D4—104no—
962C2×C4⋊C4—51no—
963C2×C4⋊C4—51no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—51no—
970C2×C4⋊C4—51no—
971C2×C4⋊C4—51no—
972C2×C4⋊C4—51no—
973C2×C4⋊C4—51no—
974C2×C4⋊C4—51no—
975C2×C4⋊C4—51no—
976C2×C4⋊C4—51no—
977C2×C4⋊C4—51no—
978C2×C4⋊C4—51no—
979C2×C4⋊C4—51no—
980C2×C4⋊C4—51no—
981C2×C4⋊C4—51no—
982C2×C4⋊C4—51no—
983C2×C4⋊C4—51no—
984C2×C4⋊C4—51no—
985C2×C4⋊C4—51no—
986C2×C4⋊C4C22×D511yescharacteristic
987C2×C4⋊C4C22×D511yescharacteristic
988C2×C4⋊C4C22×D511yescharacteristic
989C2×C4⋊C4C22×D511yescharacteristic
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4—51no—
1018C2×C22⋊C4—51no—
1019C2×C22⋊C4—51no—
1020C2×C22⋊C4—51no—
1021C2×C22⋊C4—51no—
1022C2×C22⋊C4—51no—
1023C2×C22⋊C4—51no—
1024C2×C22⋊C4—51no—
1025C2×C22⋊C4—51no—
1026C2×C22⋊C4—51no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—202no—
1034C2×C22⋊C4—202no—
1035C2×C22⋊C4—202no—
1036C2×C22⋊C4C22×D511yescharacteristic
1037C2×C22⋊C4C22×D511yescharacteristic
1038C2×C22⋊C4C22×D511yescharacteristic
1039C2×C22⋊C4C22×D511yescharacteristic
1040C2×C22⋊C4C22×D511yescharacteristic
1041C2×C22⋊C4C22×D511yescharacteristic
1042C2×C22⋊C4C22×D511yescharacteristic
1043C2×C22⋊C4C22×D511yescharacteristic
1044C2×C22⋊C4C22×D511yescharacteristic
1045C2×C22⋊C4C22×D511yescharacteristic
1046C2×C22⋊C4C22×D511yescharacteristic
1047C2×C22⋊C4C22×D511yescharacteristic
1048C2×C22⋊C4C22×D511yescharacteristic
1049C2×C42—51no—
1050C2×C42—51no—
1051C2×C42—51no—
1052C2×C42—51no—
1053C2×C42—51no—
1054C2×C42—51no—
1055C2×C42—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95—51no—
1069#95—51no—
1070#95—51no—
1071#95—51no—
1072#95—51no—
1073#95—51no—
1074#95—51no—
1075#95—51no—
1076#95—51no—
1077#95—51no—
1078#95—51no—
1079#95—51no—
1080#95—51no—
1081#95—51no—
1082#95—51no—
1083#95—51no—
1084#95—51no—
1085#95—51no—
1086#95—51no—
1087#95—51no—
1088#95C22×D511yescharacteristic
1089#95C22×D511yescharacteristic
1090#95C22×D511yescharacteristic
1091#95C22×D511yescharacteristic
1092#95C22×D511yescharacteristic
1093#95C22×D511yescharacteristic
1094#95C22×D511yescharacteristic
1095#95C22×D511yescharacteristic
1096C22×C5—22no—
1097C22×C5—22no—
1098C22×C5—22no—
1099C22×C5—22no—
1100C22×C5—22no—
1101C22×C5—22no—
1102C22×C5—22no—
1103C22×C5—22no—
1104C22×C5—22no—
1105C22×C5—22no—
1106C22×C5—22no—
1107C22×C5—22no—
1108C22×C5—416no—
1109C22×C5—41no—
1110C22×C5—41no—
1111C22×C5—41no—
1112C22×C5—41no—
1113C22×C5—41no—
1114C22×C5—41no—
1115C22×C5—41no—
1116C22×C5—41no—
1117C22×C5—41no—
1118C22×C5—41no—
1119C22×C5—41no—
1120C22×C5—41no—
1121C22×C5—41no—
1122C22×C5—41no—
1123C22×C5—41no—
1124C22×C5#54214yes—
1125C22×C5C22×#4111yescharacteristic
1126C22×C5C2×H(5,𝔽2)11yescharacteristic
1127C22×C5C2×H(5,𝔽2)11yescharacteristic
1128C22×C5C2×H(5,𝔽2)11yescharacteristic
1129C22×C5C2×H(5,𝔽2)11yescharacteristic
1130C22×C5C2×2−1+411yescharacteristic
1131C22×C5#58511yescharacteristic
1132C2×D5—41no—
1133C2×D5—41no—
1134C2×D5—41no—
1135C2×D5—41no—
1136C2×D5—41no—
1137C2×D5—41no—
1138C2×D5—41no—
1139C2×D5—41no—
1140C2×D5—41no—
1141C2×D5—41no—
1142C2×D5—41no—
1143C2×D5—41no—
1144C2×D5—41no—
1145C2×D5—41no—
1146C2×D5—88no—
1147C4×C5—22no—
1148C4×C5—41no—
1149C4×C5—41no—
1150C4×C5—41no—
1151C4×C5—41no—
1152C4×C5—41no—
1153C4×C5—41no—
1154C4×C5—41no—
1155C4×C5—41no—
1156C4×C5—41no—
1157C4×C5—41no—
1158Dic5—22no—
1159Dic5—22no—
1160Dic5—41no—
1161Dic5—41no—
1162Dic5—41no—
1163Dic5—41no—
1164Dic5—41no—
1165Dic5—41no—
1166Dic5—41no—
1167Dic5—41no—
1168Dic5—41no—
1169Dic5—41no—
1170Dic5—41no—
1171Dic5—41no—
1172C24—22no—
1173C24—22no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—41no—
1178C24—41no—
1179C24—51no—
1180C24—51no—
1181C24—102no—
1182C24—102no—
1183C24—102no—
1184C24—201no—
1185C24—201no—
1186C24—201no—
1187C24—201no—
1188C24C23×D511yescharacteristic
1189C24C23×D511yescharacteristic
1190C24C23×D511yescharacteristic
1191C24C23×D511yescharacteristic
1192C2×Q8—102no—
1193C2×Q8—102no—
1194C2×Q8—201no—
1195C2×Q8—201no—
1196C2×Q8—201no—
1197C2×Q8—201no—
1198C2×Q8—201no—
1199C2×Q8—201no—
1200C2×Q8—201no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—102no—
1211C2×D4—102no—
1212C2×D4—102no—
1213C2×D4—102no—
1214C2×D4—102no—
1215C2×D4—102no—
1216C2×D4—102no—
1217C2×D4—102no—
1218C2×D4—201no—
1219C2×D4—201no—
1220C2×D4—201no—
1221C2×D4—201no—
1222C2×D4—201no—
1223C2×D4—201no—
1224C2×D4—201no—
1225C2×D4—201no—
1226C2×D4—201no—
1227C2×D4—201no—
1228C2×D4—2016no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—416no—
1248C22×C4—51no—
1249C22×C4—51no—
1250C22×C4—54no—
1251C22×C4—51no—
1252C22×C4—51no—
1253C22×C4—51no—
1254C22×C4—51no—
1255C22×C4—51no—
1256C22×C4—51no—
1257C22×C4—51no—
1258C22×C4—51no—
1259C22×C4—51no—
1260C22×C4—51no—
1261C22×C4—51no—
1262C22×C4—51no—
1263C22×C4—102no—
1264C22×C4—102no—
1265C22×C4—102no—
1266C22×C4—201no—
1267C22×C4—201no—
1268C22×C4—201no—
1269C22×C4—201no—
1270C22×C4—201no—
1271C22×C4—201no—
1272C22×C4—201no—
1273C22×C4—201no—
1274C22×C4C23×D511yescharacteristic
1275C22×C4C23×D511yescharacteristic
1276C22×C4C23×D511yescharacteristic
1277C22×C4C23×D511yescharacteristic
1278C22×C4C23×D511yescharacteristic
1279C22×C4C23×D511yescharacteristic
1280C22×C4C23×D511yescharacteristic
1281C22×C4C23×D511yescharacteristic
1282C22×C4C23×D511yescharacteristic
1283C22×C4C23×D511yescharacteristic
1284C22×C4C23×D511yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—102no—
1290C4⋊C4—102no—
1291C4⋊C4—102no—
1292C4⋊C4—102no—
1293C4⋊C4—102no—
1294C4⋊C4—201no—
1295C4⋊C4—201no—
1296C4⋊C4—201no—
1297C4⋊C4—201no—
1298C4⋊C4—201no—
1299C4⋊C4—201no—
1300C4⋊C4—201no—
1301C4⋊C4—201no—
1302C4⋊C4—201no—
1303C4⋊C4—201no—
1304C4⋊C4—201no—
1305C4⋊C4—201no—
1306C4⋊C4—201no—
1307C4⋊C4—201no—
1308C4⋊C4—201no—
1309C4⋊C4—201no—
1310C4⋊C4—201no—
1311C4⋊C4—201no—
1312C4⋊C4—201no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—102no—
1327C22⋊C4—102no—
1328C22⋊C4—102no—
1329C22⋊C4—102no—
1330C22⋊C4—102no—
1331C22⋊C4—102no—
1332C22⋊C4—102no—
1333C22⋊C4—102no—
1334C22⋊C4—102no—
1335C22⋊C4—102no—
1336C22⋊C4—102no—
1337C22⋊C4—102no—
1338C22⋊C4—102no—
1339C22⋊C4—201no—
1340C22⋊C4—201no—
1341C22⋊C4—201no—
1342C22⋊C4—201no—
1343C22⋊C4—201no—
1344C22⋊C4—201no—
1345C22⋊C4—201no—
1346C22⋊C4—201no—
1347C22⋊C4—201no—
1348C22⋊C4—201no—
1349C22⋊C4—201no—
1350C22⋊C4—201no—
1351C22⋊C4—201no—
1352C22⋊C4—201no—
1353C22⋊C4—201no—
1354C22⋊C4—201no—
1355C22⋊C4—201no—
1356C22⋊C4—201no—
1357C22⋊C4—201no—
1358C22⋊C4—201no—
1359C22⋊C4—201no—
1360C22⋊C4—201no—
1361C22⋊C4—201no—
1362C22⋊C4—201no—
1363C22⋊C4—201no—
1364C22⋊C4—201no—
1365C22⋊C4—201no—
1366C22⋊C4—201no—
1367C22⋊C4—201no—
1368C22⋊C4—201no—
1369C42—102no—
1370C42—201no—
1371C42—201no—
1372C42—201no—
1373C42—201no—
1374C42—201no—
1375C42—201no—
1376C2×C5—24no—
1377C2×C5—42no—
1378C2×C5—42no—
1379C2×C5—81no—
1380C2×C5C2×#54211yescharacteristic
1381C2×C5#349011yescharacteristic
1382C2×C5#350611yescharacteristic
1383C2×C5#353211yescharacteristic
1384C2×C5#353411yescharacteristic
1385C2×C5#353511yescharacteristic
1386C2×C5#353611yescharacteristic
1387D5—81no—
1388D5—81no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—28no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—101no—
1420C23—101no—
1421C23—101no—
1422C23—101no—
1423C23—101no—
1424C23—101no—
1425C23—101no—
1426C23—101no—
1427C23—101no—
1428C23—101no—
1429C23—101no—
1430C23—101no—
1431C23—101no—
1432C23—101no—
1433C23—204no—
1434C23—204no—
1435C23—204no—
1436C23—402no—
1437C23—402no—
1438C23—402no—
1439C23—402no—
1440C23#414412yes—
1441C23#414412yes—
1442C23D5×#4112yes—
1443C23#414912yes—
1444C23#415012yes—
1445C23C24×D511yescharacteristic
1446Q8—402no—
1447Q8—402no—
1448Q8—402no—
1449D4—44no—
1450D4—82no—
1451D4—82no—
1452D4—204no—
1453D4—204no—
1454D4—204no—
1455D4—204no—
1456D4—402no—
1457D4—402no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—52no—
1497C2×C4—52no—
1498C2×C4—101no—
1499C2×C4—101no—
1500C2×C4—101no—
1501C2×C4—101no—
1502C2×C4—101no—
1503C2×C4—101no—
1504C2×C4—101no—
1505C2×C4—101no—
1506C2×C4—101no—
1507C2×C4—101no—
1508C2×C4—101no—
1509C2×C4—101no—
1510C2×C4—101no—
1511C2×C4—101no—
1512C2×C4—101no—
1513C2×C4—101no—
1514C2×C4—101no—
1515C2×C4—101no—
1516C2×C4—101no—
1517C2×C4—101no—
1518C2×C4—101no—
1519C2×C4—101no—
1520C2×C4—101no—
1521C2×C4—101no—
1522C2×C4—101no—
1523C2×C4—101no—
1524C2×C4—101no—
1525C2×C4—101no—
1526C2×C4—101no—
1527C2×C4—101no—
1528C2×C4—101no—
1529C2×C4—101no—
1530C2×C4—101no—
1531C2×C4—101no—
1532C2×C4—101no—
1533C2×C4—101no—
1534C2×C4—101no—
1535C2×C4—101no—
1536C2×C4—101no—
1537C2×C4—101no—
1538C2×C4—204no—
1539C2×C4—402no—
1540C2×C4—402no—
1541C2×C4—402no—
1542C2×C4#414412yes—
1543C5#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—201no—
1573C22—201no—
1574C22—201no—
1575C22—201no—
1576C22—201no—
1577C22—201no—
1578C22—201no—
1579C22—201no—
1580C22—201no—
1581C22—201no—
1582C22—201no—
1583C22—201no—
1584C22—201no—
1585C22—201no—
1586C22—408no—
1587C22#6599614yes—
1588C22C2×#414411yescharacteristic
1589C22C2×#414411yescharacteristic
1590C22C2×#414411yescharacteristic
1591C22C2×D5×#4111yescharacteristic
1592C22C2×#414911yescharacteristic
1593C22C2×#415011yescharacteristic
1594C22#6628311yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—102no—
1607C4—102no—
1608C4—201no—
1609C4—201no—
1610C4—201no—
1611C4—201no—
1612C4—201no—
1613C4—201no—
1614C4—201no—
1615C4—201no—
1616C4—201no—
1617C4—201no—
1618C4—201no—
1619C4—201no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—401no—
1625C2—401no—
1626C2#1061782211yescharacteristic
1627C2C2×#6599611yescharacteristic
1628C2#1061791811yescharacteristic
1629C2#1061793011yescharacteristic
1630C2#1061793111yescharacteristic
1631C2#1061794411yescharacteristic
1632C2#1061795211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2849C2
prime radical#10614313C2
hypercenter#2849D5
hypocenterC5#36793
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C5×#2849C2semidirect
2. #10615762C2semidirect
3. C2×#65502C2semidirect
4. #10614616C2semidirect
5. #10614611C2semidirect
6. #10614610C2semidirect
7. #10614600C2semidirect
8. #10614320C2semidirect
10. #10606637C2semidirect
11. #10606560C2semidirect
12. #10606553C2semidirect
13. #10606531C2semidirect
14. #10606527C2semidirect
15. #10606494C2semidirect
16. #10606459C2semidirect
17. #10606394C2semidirect
18. #10606352C2semidirect
19. #10606310C2semidirect
20. #10606281C2semidirect
21. #10606268C2semidirect
22. #10606262C2semidirect
23. #10606203C2semidirect
24. #10606184C2semidirect
25. #10606118C2semidirect
26. #10605841C2semidirect
27. #10605839C2semidirect
28. #10605831C2semidirect
29. #10605829C2semidirect
30. #10605561C2semidirect
31. #10605558C2semidirect
34. C2×C5×#123C22semidirect
35. C2×C5×#123C22semidirect
41. C2×#4082C22semidirect
46. C2×#4070C22semidirect
47. C2×#4070C22semidirect
48. C2×#4044C22semidirect
51. C2×#4031C22semidirect
52. C2×#4025C22semidirect
57. C5×#386C22semidirect
58. C5×#386C22semidirect
61. C5×#385C22semidirect
62. C5×#385C22semidirect
63. C5×#381C22semidirect
64. C5×#381C22semidirect
70. #65511C22semidirect
71. #65511C22semidirect
72. #65510C22semidirect
84. #65501C22semidirect
85. #65501C22semidirect
88. #65499C22semidirect
89. #65499C22semidirect
90. #65499C22semidirect
91. #65499C22semidirect
94. #65283C22semidirect
95. #65283C22semidirect
96. #65283C22semidirect
97. #65282C22semidirect
98. #65281C22semidirect
99. #65281C22semidirect
100. #65279C22semidirect
101. #65274C22semidirect
102. #65273C22semidirect
103. #65268C22semidirect
104. #65267C22semidirect
105. #65263C22semidirect
106. #65262C22semidirect
107. #65262C22semidirect
108. #65261C22semidirect
113. #65250C22semidirect
114. #65250C22semidirect
115. #65250C22semidirect
118. #65248C22semidirect
119. #65248C22semidirect
120. #65248C22semidirect
125. #65246C22semidirect
129. #65242C22semidirect
130. #65242C22semidirect
131. #65241C22semidirect
132. #65241C22semidirect
133. #65240C22semidirect
135. #65239C22semidirect
136. #65238C22semidirect
137. #65237C22semidirect
138. #65236C22semidirect
139. #65236C22semidirect
141. #65235C22semidirect
142. #65234C22semidirect
143. #65234C22semidirect
144. #65234C22semidirect
145. #65234C22semidirect
146. #65233C22semidirect
147. #65233C22semidirect
148. #65232C22semidirect
151. #65231C22semidirect
155. #64965C22semidirect
156. #64965C22semidirect
157. #64964C22semidirect
158. #64964C22semidirect
159. #64964C22semidirect
160. #64964C22semidirect
161. #64963C22semidirect
162. #64963C22semidirect
163. #64963C22semidirect
164. #64962C22semidirect
165. #64962C22semidirect
166. #64962C22semidirect
167. #64959C22semidirect
168. #64959C22semidirect
169. #64958C22semidirect
170. #64958C22semidirect
171. #64949C22semidirect
172. #64946C22semidirect
173. #64945C22semidirect
174. #64945C22semidirect
175. #64944C22semidirect
176. #64943C22semidirect
177. #64943C22semidirect
178. #64942C22semidirect
179. #64942C22semidirect
180. #64941C22semidirect
181. #64941C22semidirect
182. #64940C22semidirect
183. #64939C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
370. #2849D5semidirect
613. C2×#123C2×D5semidirect
614. C2×#123C2×D5semidirect
722. #386C2×D5semidirect
723. #386C2×D5semidirect
736. #385C2×D5semidirect
737. #385C2×D5semidirect
741. #381C2×D5semidirect
742. #381C2×D5semidirect
1543. C5#36793semidirect

Maximal subgroups

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

subgroupindex
C5×#28492
#106157622
C2×#655022
#106146162
#106146112
#106146102
#106146002
#106143202
#106143132
#106066372
#106065602
#106065532
#106065312
#106065272
#106064942
#106064592
#106063942
#106063522
#106063102
#106062812
#106062682
#106062622
#106062032
#106061842
#106061182
#106058412
#106058392
#106058312
#106058292
#106055612
#106055582
#367935