Finite Group Databasebeta

← #12308222

Subgroups — #12308222

Order 1280.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2430C211yesmaximal, characteristic, complemented
2#10615827C211yesmaximal, characteristic, complemented
3#10615818C211yesmaximal, characteristic, complemented
4#10614625C211yesmaximal, characteristic, complemented
5#10614567C211yesmaximal, characteristic, complemented
6#10614441C211yesmaximal, characteristic, complemented
7#10614437C211yesmaximal, characteristic, complemented
8#10614429C211yesmaximal, characteristic, complemented
9#10614387C211yesmaximal, characteristic, complemented
10#10608963C211yesmaximal, characteristic, complemented
11#10608958C211yesmaximal, characteristic, complemented
12#10608812C211yesmaximal, characteristic, complemented
13#10608810C211yesmaximal, characteristic, complemented
14#10608583C211yesmaximal, characteristic, complemented
15#10608569C211yesmaximal, characteristic, complemented
16#10608463C211yesmaximal, characteristic, complemented
17#10608459C211yesmaximal, characteristic, complemented
18#10606637C211yesmaximal, characteristic, complemented
19#10606601C211yesmaximal, characteristic, complemented
20#10606584C211yesmaximal, characteristic, complemented
21#10606580C211yesmaximal, characteristic, complemented
22#10606579C211yesmaximal, characteristic, complemented
23#10606527C211yesmaximal, characteristic, complemented
24#10606474C211yesmaximal, characteristic, complemented
25#10606459C211yesmaximal, characteristic, complemented
26#10606301C211yesmaximal, characteristic, complemented
27#10606297C211yesmaximal, characteristic, complemented
28#10606294C211yesmaximal, characteristic, complemented
29#10606262C211yesmaximal, characteristic, complemented
30#10605081C211yesmaximal, characteristic, complemented
31C2×#64959C211yesmaximal, characteristic, complemented
32C22×C5×#41C2211yescharacteristic
33C2×C5×#123C2211yescharacteristic
34C2×C5×#121C2211yescharacteristic
35C2×C5×#121C2211yescharacteristic
36C2×#4085C2211yescharacteristic
37C2×#4083C2211yescharacteristic
38C2×#4083C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4082C2211yescharacteristic, complemented
41C2×D4×Dic5C2211yescharacteristic
42C22×#685C2211yescharacteristic
43C22×#685C2211yescharacteristic
44C22×#685C2211yescharacteristic
45C2×#4072C2211yescharacteristic
46C22×C4⋊Dic5C2211yescharacteristic
47C2×#4070C2211yescharacteristic
48C22×C4×Dic5C2211yescharacteristic
49C2×#4031C2211yescharacteristic
50C2×#4025C2211yescharacteristic, complemented
51C5×#395C2211yescharacteristic, complemented
52C5×#394C2211yescharacteristic, complemented
53C5×#393C2211yescharacteristic, complemented
54C5×#392C2211yescharacteristic, complemented
55C5×#386C2211yescharacteristic
56C5×#386C2211yescharacteristic
57C5×#386C2211yescharacteristic, complemented
58C5×#386C2211yescharacteristic, complemented
59C5×#385C2211yescharacteristic, complemented
60C5×#385C2211yescharacteristic, complemented
61C2×C5×#95C2211yescharacteristic
62#65520C2211yescharacteristic
63#65520C2211yescharacteristic
64#65519C2211yescharacteristic, complemented
65#65519C2211yescharacteristic, complemented
66#65512C2211yescharacteristic
67#65512C2211yescharacteristic
68#65512C2211yescharacteristic
69#65512C2211yescharacteristic
70#65512C2211yescharacteristic
71#65511C2211yescharacteristic, complemented
72#65510C2211yescharacteristic, complemented
73#65510C2211yescharacteristic, complemented
74#65510C2211yescharacteristic, complemented
75#65509C2211yescharacteristic
76#65509C2211yescharacteristic
77#65509C2211yescharacteristic
78#65509C2211yescharacteristic
79#65509C2211yescharacteristic
80#65509C2211yescharacteristic
81#65509C2211yescharacteristic
82#65509C2211yescharacteristic
83#65509C2211yescharacteristic, complemented
84#65502C2211yescharacteristic
85#65502C2211yescharacteristic
86#65502C2211yescharacteristic
87#65502C2211yescharacteristic
88#65501C2211yescharacteristic
89#65501C2211yescharacteristic, complemented
90#65501C2211yescharacteristic, complemented
91#65501C2211yescharacteristic, complemented
92#65501C2211yescharacteristic, complemented
93#65500C2211yescharacteristic
94#65499C2211yescharacteristic
95#65499C2211yescharacteristic
96C2×#3963C2211yescharacteristic
97#65283C2211yescharacteristic
98#65283C2211yescharacteristic
99#65283C2211yescharacteristic
100#65282C2211yescharacteristic
101#65282C2211yescharacteristic
102#65279C2211yescharacteristic
103#65279C2211yescharacteristic
104#65279C2211yescharacteristic
105#65275C2211yescharacteristic, complemented
106#65274C2211yescharacteristic, complemented
107#65274C2211yescharacteristic, complemented
108#65270C2211yescharacteristic, complemented
109#65270C2211yescharacteristic, complemented
110#65267C2211yescharacteristic, complemented
111#65266C2211yescharacteristic, complemented
112#65263C2211yescharacteristic, complemented
113#65250C2211yescharacteristic
114#65250C2211yescharacteristic
115#65250C2211yescharacteristic
116#65250C2211yescharacteristic
117#65250C2211yescharacteristic
118#65250C2211yescharacteristic
119#65250C2211yescharacteristic
120#65250C2211yescharacteristic
121#65250C2211yescharacteristic
122#65250C2211yescharacteristic
123#65248C2211yescharacteristic
124#65248C2211yescharacteristic
125#65248C2211yescharacteristic
126#65248C2211yescharacteristic
127#65247C2211yescharacteristic
128#65246C2211yescharacteristic
129#65246C2211yescharacteristic
130#65246C2211yescharacteristic
131#65246C2211yescharacteristic
132#65244C2211yescharacteristic
133#65242C2211yescharacteristic, complemented
134#65242C2211yescharacteristic, complemented
135#65241C2211yescharacteristic, complemented
136#65241C2211yescharacteristic, complemented
137#65240C2211yescharacteristic, complemented
138#65240C2211yescharacteristic, complemented
139#65240C2211yescharacteristic, complemented
140#65240C2211yescharacteristic, complemented
141#65239C2211yescharacteristic
142#65239C2211yescharacteristic, complemented
143#65239C2211yescharacteristic, complemented
144#65235C2211yescharacteristic
145#65234C2211yescharacteristic, complemented
146#65234C2211yescharacteristic, complemented
147#65234C2211yescharacteristic, complemented
148#65234C2211yescharacteristic, complemented
149#65234C2211yescharacteristic, complemented
150#65234C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65232C2211yescharacteristic, complemented
154C22⋊C4×Dic5C2211yescharacteristic
155#64964C2211yescharacteristic
156#64964C2211yescharacteristic
157#64964C2211yescharacteristic
158#64963C2211yescharacteristic
159#64963C2211yescharacteristic
160#64962C2211yescharacteristic
161#64959C2211yescharacteristic
162#64959C2211yescharacteristic
163#64959C2211yescharacteristic
164#64959C2211yescharacteristic
165#64959C2211yescharacteristic
166#64959C2211yescharacteristic
167#64959C2211yescharacteristic
168#64959C2211yescharacteristic
169#64959C2211yescharacteristic
170#64958C2211yescharacteristic
171C5⋊#401C2211yescharacteristic, complemented
172#64950C2211yescharacteristic, complemented
173#64949C2211yescharacteristic, complemented
174#64949C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64945C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64943C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64941C2211yescharacteristic, complemented
183#64940C2211yescharacteristic, complemented
184#64940C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36795—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C2×C5×#41—24no—
190C2×C5×#41—42no—
191C2×C5×#41—42no—
192C22×C5×Q8C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C23×Dic5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C22×Dic10C2311yescharacteristic
215C5×#123—24no—
216C5×#121—42no—
217C5×#121—42no—
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊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×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
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
254#4085—42no—
255#4083—42no—
256#4083—42no—
257#4083—42no—
258#4082—42no—
259D4×Dic5—42no—
260C2×#685—24no—
261C2×#685—42no—
262C2×#685—42no—
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
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
285#4072—42no—
286C2×C4⋊Dic5—42no—
287C2×C4⋊Dic5C2311yescharacteristic
288C2×C4⋊Dic5C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299#4070—42no—
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×C4×Dic5—42no—
309C2×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318#4031—42no—
319#4025—42no—
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
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#2852—51no—
365#2850—51no—
366#2808—51no—
367#2803—51no—
368#2803—51no—
369#2786—51no—
370#2781—51no—
371#2779—51no—
372#2778—51no—
373#2775—51no—
374#2759—51no—
375#2756—51no—
376#2756—51no—
377#2751—51no—
378#2733—51no—
379#2715—51no—
380#2714—51no—
381#2686—51no—
382#2622—51no—
383#2617—51no—
384#2510—51no—
385#2472—51no—
386#2444—51no—
387#2438—51no—
388#2430D511yescharacteristic, complemented
389#2424—51no—
390#2411—51no—
391#2404—51no—
392#2322—51no—
393#2311—51no—
394C2×#388—51no—
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C23×D5—22no—
400C23×D5—22no—
401C23×D5—22no—
402C23×D5—41no—
403C23×D5—41no—
404C23×D5—41no—
405C23×D5—41no—
406C23×D5C2411yescharacteristic
407C23×D5C2411yescharacteristic
408C5×#41—416no—
409C2×C5×Q8—22no—
410C2×C5×Q8—41no—
411C2×C5×Q8—41no—
412C2×C5×D4—22no—
413C2×C5×D4—22no—
414C2×C5×D4—22no—
415C2×C5×D4—22no—
416C2×C5×D4—22no—
417C2×C5×D4—22no—
418C2×C5×D4—22no—
419C2×C5×D4—22no—
420C2×C5×D4—22no—
421C2×C5×D4—22no—
422C2×C5×D4—22no—
423C2×C5×D4—41no—
424C2×C5×D4—41no—
425C2×C5×D4—41no—
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#4114yes—
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C2×C22⋊D5—41no—
457C2×C22⋊D5—41no—
458C2×C22⋊D5—41no—
459C2×C22⋊D5—41no—
460C2×C22⋊D5—41no—
461C2×C22⋊D5—41no—
462C2×C22⋊D5—41no—
463C2×C22⋊D5—41no—
464C2×C22⋊D5—41no—
465C2×C22⋊D5—41no—
466C2×C22⋊D5—41no—
467C2×C22⋊D5—41no—
468C2×C22⋊D5—41no—
469C2×C22⋊D5—41no—
470C2×C22⋊D5—41no—
471C2×C22⋊D5—41no—
472C2×C22⋊D5—41no—
473C2×C22⋊D5—41no—
474C22×Dic5—22no—
475C22×Dic5—22no—
476C22×Dic5—22no—
477C22×Dic5—41no—
478C22×Dic5—41no—
479C22×Dic5—41no—
480C22×Dic5—41no—
481C22×Dic5—41no—
482C22×Dic5—41no—
483C22×Dic5—41no—
484C22×Dic5—41no—
485C22×Dic5—41no—
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C2×Dic10—22no—
501C2×Dic10—41no—
502C2×Dic10—41no—
503C5×C4⋊C4—22no—
504C5×C4⋊C4—22no—
505C5×C4⋊C4—41no—
506C5×C4⋊C4—41no—
507C5×C22⋊C4—22no—
508C5×C22⋊C4—22no—
509C5×C22⋊C4—22no—
510C5×C22⋊C4—22no—
511C5×C22⋊C4—41no—
512C5×C22⋊C4—41no—
513C5×C22⋊C4—41no—
514C5×C22⋊C4—41no—
515C5×C22⋊C4—41no—
516C5×C22⋊C4—41no—
517C5×C22⋊C4—41no—
518C22⋊Dic5—22no—
519C22⋊Dic5—22no—
520C22⋊Dic5—22no—
521C22⋊Dic5—22no—
522C22⋊Dic5—41no—
523C22⋊Dic5—41no—
524C22⋊Dic5—41no—
525C22⋊Dic5—41no—
526C22⋊Dic5—41no—
527C22⋊Dic5—41no—
528C22⋊Dic5—41no—
529C22⋊Dic5—41no—
530C22⋊Dic5—41no—
531C22⋊Dic5—41no—
532C22⋊Dic5—41no—
533C22⋊Dic5—41no—
534C22⋊Dic5—41no—
535C22⋊Dic5—41no—
536C22⋊Dic5—41no—
537C22⋊Dic5—41no—
538C22⋊Dic5—41no—
539#685—22no—
540#685—22no—
541#685—22no—
542#685—22no—
543#685—22no—
544#685—22no—
545#685—41no—
546#685—41no—
547#685—41no—
548#685—41no—
549#685—41no—
550#685—41no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685—41no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560#685—41no—
561C4⋊Dic5—41no—
562C4⋊Dic5—41no—
563C4⋊Dic5—41no—
564C4⋊Dic5—41no—
565C4⋊Dic5—41no—
566C4⋊Dic5—41no—
567C4⋊Dic5—41no—
568C4⋊Dic5—41no—
569C4⋊Dic5—41no—
570C4⋊Dic5—41no—
571C4⋊Dic5—41no—
572C4⋊Dic5—41no—
573#683—22no—
574#683—41no—
575#683—41no—
576#683—41no—
577#683—41no—
578#683—41no—
579#683—41no—
580#683—41no—
581C4×Dic5—22no—
582C4×Dic5—22no—
583C4×Dic5—41no—
584C4×Dic5—41no—
585C4×Dic5—41no—
586C4×Dic5—41no—
587C4×Dic5—41no—
588C4×Dic5—41no—
589C4×Dic5—41no—
590C22×#41C2×D511yescharacteristic
591C2×#126—51no—
592C2×#124—51no—
593C2×#124—51no—
594C2×#123C2×D511yescharacteristic
595C2×C22⋊Q8—51no—
596C2×#121—51no—
597C2×#121C2×D511yescharacteristic
598C2×#121C2×D511yescharacteristic
599C2×#120—51no—
600C2×#120—51no—
601C2×#120—51no—
602C2×C4×D4—51no—
603C2×#117—51no—
604C22×C4⋊C4—51no—
605C22×C22⋊C4—51no—
606C22×C22⋊C4—51no—
607C22×C22⋊C4—51no—
608C22×C42—51no—
609#401—51no—
610#400—51no—
611#400—51no—
612#400—51no—
613#398—51no—
614#398—51no—
615#397—51no—
616#397—51no—
617#397—51no—
618#397—51no—
619#397—51no—
620#397—51no—
621#397—51no—
622#397—51no—
623#397—51no—
624#397—51no—
625#397—51no—
626#396—51no—
627#396—51no—
628#396—51no—
629#395—51no—
630#395C2×D511yescharacteristic, complemented
631#394—51no—
632#394—51no—
633#394—51no—
634#394—51no—
635#394—51no—
636#394—51no—
637#394—51no—
638#394—51no—
639#394—51no—
640#394—51no—
641#394—51no—
642#394—51no—
643#394—51no—
644#394—51no—
645#394—51no—
646#394C2×D511yescharacteristic, complemented
647#393—51no—
648#393—51no—
649#393—51no—
650#393C2×D511yescharacteristic, complemented
651#392—51no—
652#392—51no—
653#392—51no—
654#392—51no—
655#392—51no—
656#392C2×D511yescharacteristic, complemented
657#391—51no—
658#391—51no—
659#391—51no—
660#391—51no—
661#390—51no—
662#390—51no—
663#390—51no—
664#390—51no—
665#390—51no—
666#390—51no—
667#390—51no—
668#389—51no—
669#389—51no—
670#389—51no—
671#388—51no—
672#388—51no—
673#388—51no—
674#388—51no—
675#388—51no—
676#388—51no—
677#388—51no—
678#388—51no—
679#388—51no—
680#388—51no—
681#388—51no—
682#388—51no—
683#388—51no—
684#388—51no—
685#388—51no—
686#388—51no—
687#388—51no—
688#388—51no—
689#388—51no—
690#388—51no—
691#388—51no—
692#388—51no—
693#388—51no—
694#388—51no—
695#388—51no—
696#387—51no—
697#387—51no—
698#387—51no—
699#387—51no—
700#387—51no—
701#387—51no—
702#387—51no—
703#387—51no—
704#387—51no—
705#386—51no—
706#386—51no—
707#386—51no—
708#386—51no—
709#386—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#386C2×D511yescharacteristic
720#386C2×D511yescharacteristic
721#386C2×D511yescharacteristic, complemented
722#386C2×D511yescharacteristic, complemented
723#385—51no—
724#385—51no—
725#385—51no—
726#385—51no—
727#385—51no—
728#385—51no—
729#385C2×D511yescharacteristic, complemented
730#385C2×D511yescharacteristic, complemented
731#383—51no—
732#383—51no—
733#382—51no—
734#381—51no—
735#381—51no—
736#380—51no—
737#380—51no—
738#380—51no—
739#380—51no—
740#380—51no—
741#379—51no—
742C4×C22⋊C4—51no—
743C2×#95—51no—
744C2×#95C2×D511yescharacteristic
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5—21no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—21no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5C2×#4112yes—
771C23×C5H(5,𝔽2)12yes—
772C23×C5H(5,𝔽2)12yes—
773C23×C5C2511yescharacteristic
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—21no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—21no—
788C22×D5—44no—
789C22×D5—44no—
790C22×D5—44no—
791C22×D5—82no—
792C22×D5—82no—
793C22×D5—82no—
794C22×D5—82no—
795C5×Q8—44no—
796C5×D4—44no—
797C5×D4—44no—
798C5×D4—44no—
799C5×D4—44no—
800C5×D4—82no—
801C5×D4—82no—
802C2×C4×C5—28no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
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—44no—
834C2×C4×C5—44no—
835C2×C4×C5—44no—
836C2×C4×C5—82no—
837C2×C4×C5C2×#4112yes—
838C2×C4×C5C2×#4112yes—
839C2×C4×C5H(5,𝔽2)12yes—
840C22⋊D5—82no—
841C22⋊D5—82no—
842C22⋊D5—82no—
843C22⋊D5—82no—
844C22⋊D5—82no—
845C22⋊D5—82no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
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—44no—
889C2×Dic5—44no—
890C2×Dic5—82no—
891C2×Dic5—82no—
892Dic10—82no—
893C25—51no—
894C2×#41—24no—
895C2×#41—42no—
896C2×#41—42no—
897C22×Q8—51no—
898C22×Q8C22×D511yescharacteristic
899C22×D4—51no—
900C22×D4—51no—
901C22×D4—51no—
902C22×D4—51no—
903C22×D4—51no—
904C22×D4—51no—
905C22×D4C22×D511yescharacteristic
906C22×D4C22×D511yescharacteristic
907C22×D4C22×D511yescharacteristic
908C22×D4C22×D511yescharacteristic
909C22×D4C22×D511yescharacteristic
910C22×D4C22×D511yescharacteristic
911C23×C4—51no—
912C23×C4—51no—
913C23×C4—51no—
914C23×C4—51no—
915C23×C4C22×D511yescharacteristic
916C23×C4C22×D511yescharacteristic
917C23×C4C22×D511yescharacteristic
918C23×C4C22×D511yescharacteristic
919C23×C4C22×D511yescharacteristic
920#126—202no—
921#124—202no—
922#124—202no—
923#123—24no—
924C22⋊Q8—202no—
925#121—42no—
926#121—42no—
927#121—202no—
928#120—202no—
929#120—202no—
930#120—202no—
931C4×D4—202no—
932#117—202no—
933C2×C4⋊C4—51no—
934C2×C4⋊C4—51no—
935C2×C4⋊C4—51no—
936C2×C4⋊C4—51no—
937C2×C4⋊C4—51no—
938C2×C4⋊C4—51no—
939C2×C4⋊C4—51no—
940C2×C4⋊C4—51no—
941C2×C4⋊C4—51no—
942C2×C4⋊C4—51no—
943C2×C4⋊C4—51no—
944C2×C4⋊C4—51no—
945C2×C4⋊C4—51no—
946C2×C4⋊C4—51no—
947C2×C4⋊C4—51no—
948C2×C4⋊C4—51no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—202no—
954C2×C4⋊C4C22×D511yescharacteristic
955C2×C4⋊C4C22×D511yescharacteristic
956C2×C4⋊C4C22×D511yescharacteristic
957C2×C4⋊C4C22×D511yescharacteristic
958C2×C22⋊C4—51no—
959C2×C22⋊C4—51no—
960C2×C22⋊C4—51no—
961C2×C22⋊C4—51no—
962C2×C22⋊C4—51no—
963C2×C22⋊C4—51no—
964C2×C22⋊C4—51no—
965C2×C22⋊C4—51no—
966C2×C22⋊C4—51no—
967C2×C22⋊C4—51no—
968C2×C22⋊C4—51no—
969C2×C22⋊C4—51no—
970C2×C22⋊C4—51no—
971C2×C22⋊C4—51no—
972C2×C22⋊C4—51no—
973C2×C22⋊C4—51no—
974C2×C22⋊C4—51no—
975C2×C22⋊C4—51no—
976C2×C22⋊C4—51no—
977C2×C22⋊C4—51no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
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—104no—
1002C2×C22⋊C4—202no—
1003C2×C22⋊C4—202no—
1004C2×C22⋊C4C22×D511yescharacteristic
1005C2×C22⋊C4C22×D511yescharacteristic
1006C2×C22⋊C4C22×D511yescharacteristic
1007C2×C22⋊C4C22×D511yescharacteristic
1008C2×C22⋊C4C22×D511yescharacteristic
1009C2×C22⋊C4C22×D511yescharacteristic
1010C2×C22⋊C4C22×D511yescharacteristic
1011C2×C22⋊C4C22×D511yescharacteristic
1012C2×C22⋊C4C22×D511yescharacteristic
1013C2×C22⋊C4C22×D511yescharacteristic
1014C2×C22⋊C4C22×D511yescharacteristic
1015C2×C42—51no—
1016C2×C42—51no—
1017C2×C42—51no—
1018C2×C42—51no—
1019C2×C42—51no—
1020C2×C42—51no—
1021C2×C42—51no—
1022C2×C42—51no—
1023C2×C42—51no—
1024C2×C42—202no—
1025#95—51no—
1026#95—51no—
1027#95—51no—
1028#95—51no—
1029#95—51no—
1030#95—51no—
1031#95—51no—
1032#95—51no—
1033#95—51no—
1034#95—51no—
1035#95—51no—
1036#95—51no—
1037#95—51no—
1038#95—51no—
1039#95—51no—
1040#95—51no—
1041#95—51no—
1042#95—51no—
1043#95—51no—
1044#95—51no—
1045#95—51no—
1046#95—51no—
1047#95—51no—
1048#95—51no—
1049#95—51no—
1050#95—51no—
1051#95—51no—
1052#95—51no—
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95C22×D511yescharacteristic
1062#95C22×D511yescharacteristic
1063#95C22×D511yescharacteristic
1064#95C22×D511yescharacteristic
1065#95C22×D511yescharacteristic
1066#95C22×D511yescharacteristic
1067#95C22×D511yescharacteristic
1068#95C22×D511yescharacteristic
1069C22×C5—22no—
1070C22×C5—22no—
1071C22×C5—22no—
1072C22×C5—22no—
1073C22×C5—22no—
1074C22×C5—22no—
1075C22×C5—41no—
1076C22×C5—41no—
1077C22×C5—41no—
1078C22×C5—41no—
1079C22×C5—41no—
1080C22×C5—41no—
1081C22×C5—41no—
1082C22×C5—41no—
1083C22×C5—41no—
1084C22×C5—41no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5—41no—
1088C22×C5—41no—
1089C22×C5—41no—
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5—41no—
1094C22×C5—41no—
1095C22×C5—41no—
1096C22×C5#53814yes—
1097C22×C5C22×#4111yescharacteristic
1098C22×C5C2×H(5,𝔽2)11yescharacteristic
1099C22×C5C2×H(5,𝔽2)11yescharacteristic
1100C22×C5C2×H(5,𝔽2)11yescharacteristic
1101C22×C5#58511yescharacteristic
1102C22×C5#58511yescharacteristic
1103C22×C5#58511yescharacteristic
1104C2×D5—41no—
1105C2×D5—41no—
1106C2×D5—41no—
1107C2×D5—41no—
1108C2×D5—41no—
1109C2×D5—41no—
1110C2×D5—41no—
1111C2×D5—41no—
1112C2×D5—41no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C2×D5—41no—
1118C2×D5—88no—
1119C4×C5—22no—
1120C4×C5—22no—
1121C4×C5—22no—
1122C4×C5—41no—
1123C4×C5—41no—
1124C4×C5—41no—
1125C4×C5—41no—
1126C4×C5—41no—
1127C4×C5—41no—
1128C4×C5—41no—
1129C4×C5—41no—
1130Dic5—41no—
1131Dic5—41no—
1132Dic5—41no—
1133Dic5—41no—
1134Dic5—41no—
1135Dic5—41no—
1136Dic5—41no—
1137Dic5—41no—
1138Dic5—41no—
1139Dic5—41no—
1140Dic5—41no—
1141Dic5—41no—
1142Dic5—41no—
1143Dic5—41no—
1144C24—51no—
1145C24—51no—
1146C24—102no—
1147C24—102no—
1148C24—102no—
1149C24—201no—
1150C24—201no—
1151C24—201no—
1152C24—201no—
1153C24C23×D511yescharacteristic
1154C24C23×D511yescharacteristic
1155C24C23×D511yescharacteristic
1156C24C23×D511yescharacteristic
1157#41—416no—
1158C2×Q8—22no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×Q8—102no—
1162C2×Q8—201no—
1163C2×Q8—201no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—201no—
1183C2×D4—201no—
1184C2×D4—201no—
1185C2×D4—201no—
1186C2×D4—201no—
1187C2×D4—201no—
1188C2×D4—201no—
1189C2×D4—201no—
1190C2×D4—201no—
1191C2×D4—201no—
1192C2×D4—201no—
1193C2×D4—201no—
1194C2×D4—201no—
1195C2×D4—201no—
1196C2×D4—201no—
1197C2×D4—201no—
1198C2×D4—201no—
1199C2×D4—201no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—51no—
1215C22×C4—51no—
1216C22×C4—51no—
1217C22×C4—51no—
1218C22×C4—51no—
1219C22×C4—51no—
1220C22×C4—51no—
1221C22×C4—51no—
1222C22×C4—51no—
1223C22×C4—51no—
1224C22×C4—51no—
1225C22×C4—51no—
1226C22×C4—51no—
1227C22×C4—51no—
1228C22×C4—102no—
1229C22×C4—102no—
1230C22×C4—102no—
1231C22×C4—201no—
1232C22×C4—201no—
1233C22×C4—201no—
1234C22×C4—201no—
1235C22×C4—201no—
1236C22×C4—201no—
1237C22×C4—201no—
1238C22×C4—201no—
1239C22×C4—201no—
1240C22×C4#71114yes—
1241C22×C4C23×D511yescharacteristic
1242C22×C4C23×D511yescharacteristic
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C22×C4C23×D511yescharacteristic
1248C22×C4C23×D511yescharacteristic
1249C22×C4C23×D511yescharacteristic
1250C22×C4C23×D511yescharacteristic
1251C22×C4C23×D511yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—102no—
1257C4⋊C4—201no—
1258C4⋊C4—201no—
1259C4⋊C4—201no—
1260C4⋊C4—201no—
1261C4⋊C4—201no—
1262C4⋊C4—201no—
1263C4⋊C4—201no—
1264C4⋊C4—201no—
1265C4⋊C4—201no—
1266C4⋊C4—201no—
1267C4⋊C4—201no—
1268C4⋊C4—201no—
1269C4⋊C4—201no—
1270C4⋊C4—201no—
1271C4⋊C4—201no—
1272C4⋊C4—201no—
1273C4⋊C4—201no—
1274C4⋊C4—201no—
1275C4⋊C4—201no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—102no—
1288C22⋊C4—102no—
1289C22⋊C4—102no—
1290C22⋊C4—102no—
1291C22⋊C4—102no—
1292C22⋊C4—102no—
1293C22⋊C4—102no—
1294C22⋊C4—102no—
1295C22⋊C4—102no—
1296C22⋊C4—102no—
1297C22⋊C4—201no—
1298C22⋊C4—201no—
1299C22⋊C4—201no—
1300C22⋊C4—201no—
1301C22⋊C4—201no—
1302C22⋊C4—201no—
1303C22⋊C4—201no—
1304C22⋊C4—201no—
1305C22⋊C4—201no—
1306C22⋊C4—201no—
1307C22⋊C4—201no—
1308C22⋊C4—201no—
1309C22⋊C4—201no—
1310C22⋊C4—201no—
1311C22⋊C4—201no—
1312C22⋊C4—201no—
1313C22⋊C4—201no—
1314C22⋊C4—201no—
1315C22⋊C4—201no—
1316C22⋊C4—201no—
1317C22⋊C4—201no—
1318C22⋊C4—201no—
1319C22⋊C4—201no—
1320C22⋊C4—201no—
1321C22⋊C4—201no—
1322C22⋊C4—201no—
1323C22⋊C4—201no—
1324C22⋊C4—201no—
1325C22⋊C4—201no—
1326C22⋊C4—201no—
1327C22⋊C4—201no—
1328C22⋊C4—201no—
1329C22⋊C4—201no—
1330C42—102no—
1331C42—102no—
1332C42—201no—
1333C42—201no—
1334C42—201no—
1335C42—201no—
1336C42—201no—
1337C42—201no—
1338C42—201no—
1339C2×C5—24no—
1340C2×C5—81no—
1341C2×C5—81no—
1342C2×C5—81no—
1343C2×C5C2×#53811yescharacteristic
1344C2×C5#349311yescharacteristic
1345C2×C5#350611yescharacteristic
1346C2×C5#353411yescharacteristic
1347C2×C5#354211yescharacteristic
1348C2×C5#354511yescharacteristic
1349C2×C5#356011yescharacteristic
1350D5—81no—
1351D5—81no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—101no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23—101no—
1382C23—101no—
1383C23—101no—
1384C23—101no—
1385C23—101no—
1386C23—101no—
1387C23—101no—
1388C23—101no—
1389C23—101no—
1390C23—101no—
1391C23—204no—
1392C23—204no—
1393C23—204no—
1394C23—402no—
1395C23—402no—
1396C23—402no—
1397C23—402no—
1398C23C2×#71112yes—
1399C23#414412yes—
1400C23#414412yes—
1401C23C24×D511yescharacteristic
1402Q8—44no—
1403Q8—402no—
1404D4—44no—
1405D4—44no—
1406D4—44no—
1407D4—44no—
1408D4—82no—
1409D4—82no—
1410D4—402no—
1411D4—402no—
1412D4—402no—
1413D4—402no—
1414D4—402no—
1415D4—402no—
1416C2×C4—28no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—101no—
1452C2×C4—101no—
1453C2×C4—101no—
1454C2×C4—101no—
1455C2×C4—101no—
1456C2×C4—101no—
1457C2×C4—101no—
1458C2×C4—101no—
1459C2×C4—101no—
1460C2×C4—101no—
1461C2×C4—101no—
1462C2×C4—101no—
1463C2×C4—101no—
1464C2×C4—101no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—101no—
1468C2×C4—101no—
1469C2×C4—101no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—101no—
1482C2×C4—101no—
1483C2×C4—101no—
1484C2×C4—101no—
1485C2×C4—101no—
1486C2×C4—101no—
1487C2×C4—101no—
1488C2×C4—101no—
1489C2×C4—101no—
1490C2×C4—101no—
1491C2×C4—101no—
1492C2×C4—101no—
1493C2×C4—204no—
1494C2×C4—204no—
1495C2×C4—402no—
1496C2×C4—402no—
1497C2×C4C2×#71112yes—
1498C2×C4C2×#71112yes—
1499C2×C4#414912yes—
1500C5#3679511yescharacteristic, complemented, Sylow
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—201no—
1529C22—201no—
1530C22—201no—
1531C22—201no—
1532C22—201no—
1533C22—201no—
1534C22—201no—
1535C22—201no—
1536C22—201no—
1537C22—201no—
1538C22—201no—
1539C22—201no—
1540C22—201no—
1541C22—201no—
1542C22—408no—
1543C22#6592714yes—
1544C22C22×#71111yescharacteristic
1545C22C2×#414411yescharacteristic
1546C22C2×#414411yescharacteristic
1547C22C2×#414911yescharacteristic
1548C22#6628311yescharacteristic
1549C22#6628511yescharacteristic
1550C22#6628711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—201no—
1563C4—201no—
1564C4—201no—
1565C4—201no—
1566C4—201no—
1567C4—201no—
1568C4—201no—
1569C4—201no—
1570C4—201no—
1571C4—201no—
1572C4—201no—
1573C4—201no—
1574C4—201no—
1575C4—201no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—401no—
1581C2—401no—
1582C2C2×#6592711yescharacteristic
1583C2#1061812411yescharacteristic
1584C2#1061826711yescharacteristic
1585C2#1061854511yescharacteristic
1586C2#1061855311yescharacteristic
1587C2#1061859211yescharacteristic
1588C2#1061859811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2430C2
hypercenter#2430D5
hypocenterC5#36795
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C5×#2430C2semidirect
2. #10615827C2semidirect
3. #10615818C2semidirect
4. #10614625C2semidirect
5. #10614567C2semidirect
6. #10614441C2semidirect
7. #10614437C2semidirect
8. #10614429C2semidirect
9. #10614387C2semidirect
10. #10608963C2semidirect
11. #10608958C2semidirect
12. #10608812C2semidirect
13. #10608810C2semidirect
14. #10608583C2semidirect
15. #10608569C2semidirect
16. #10608463C2semidirect
17. #10608459C2semidirect
18. #10606637C2semidirect
19. #10606601C2semidirect
20. #10606584C2semidirect
21. #10606580C2semidirect
22. #10606579C2semidirect
23. #10606527C2semidirect
24. #10606474C2semidirect
25. #10606459C2semidirect
26. #10606301C2semidirect
27. #10606297C2semidirect
28. #10606294C2semidirect
29. #10606262C2semidirect
30. #10605081C2semidirect
31. C2×#64959C2semidirect
40. C2×#4082C22semidirect
50. C2×#4025C22semidirect
51. C5×#395C22semidirect
52. C5×#394C22semidirect
53. C5×#393C22semidirect
54. C5×#392C22semidirect
57. C5×#386C22semidirect
58. C5×#386C22semidirect
59. C5×#385C22semidirect
60. C5×#385C22semidirect
64. #65519C22semidirect
65. #65519C22semidirect
71. #65511C22semidirect
72. #65510C22semidirect
73. #65510C22semidirect
74. #65510C22semidirect
83. #65509C22semidirect
89. #65501C22semidirect
90. #65501C22semidirect
91. #65501C22semidirect
92. #65501C22semidirect
105. #65275C22semidirect
106. #65274C22semidirect
107. #65274C22semidirect
108. #65270C22semidirect
109. #65270C22semidirect
110. #65267C22semidirect
111. #65266C22semidirect
112. #65263C22semidirect
133. #65242C22semidirect
134. #65242C22semidirect
135. #65241C22semidirect
136. #65241C22semidirect
137. #65240C22semidirect
138. #65240C22semidirect
139. #65240C22semidirect
140. #65240C22semidirect
142. #65239C22semidirect
143. #65239C22semidirect
145. #65234C22semidirect
146. #65234C22semidirect
147. #65234C22semidirect
148. #65234C22semidirect
149. #65234C22semidirect
150. #65234C22semidirect
151. #65233C22semidirect
152. #65233C22semidirect
153. #65232C22semidirect
171. C5⋊#401C22semidirect
172. #64950C22semidirect
173. #64949C22semidirect
174. #64949C22semidirect
175. #64946C22semidirect
176. #64945C22semidirect
177. #64944C22semidirect
178. #64944C22semidirect
179. #64943C22semidirect
180. #64942C22semidirect
181. #64942C22semidirect
182. #64941C22semidirect
183. #64940C22semidirect
184. #64940C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
388. #2430D5semidirect
630. #395C2×D5semidirect
646. #394C2×D5semidirect
650. #393C2×D5semidirect
656. #392C2×D5semidirect
721. #386C2×D5semidirect
722. #386C2×D5semidirect
729. #385C2×D5semidirect
730. #385C2×D5semidirect
1500. C5#36795semidirect

Maximal subgroups

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

subgroupindex
C5×#24302
#106158272
#106158182
#106146252
#106145672
#106144412
#106144372
#106144292
#106143872
#106089632
#106089582
#106088122
#106088102
#106085832
#106085692
#106084632
#106084592
#106066372
#106066012
#106065842
#106065802
#106065792
#106065272
#106064742
#106064592
#106063012
#106062972
#106062942
#106062622
#106050812
C2×#649592
#367955