Finite Group Databasebeta

← #12308086

Subgroups — #12308086

Order 1280.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2424C211yesmaximal, characteristic, complemented
2#10614425C211yesmaximal, characteristic, complemented
3#10614417C211yesmaximal, characteristic, complemented
4#10614410C211yesmaximal, characteristic, complemented
5#10614382C211yesmaximal, characteristic, complemented
6#10614333C211yesmaximal, characteristic, complemented
7#10614332C211yesmaximal, characteristic, complemented
8#10614314C211yesmaximal, characteristic, complemented
9#10614312C211yesmaximal, characteristic, complemented
10#10614087C211yesmaximal, characteristic, complemented
11#10614057C211yesmaximal, characteristic, complemented
12#10613842C211yesmaximal, characteristic, complemented
13C2×#65235C211yesmaximal, characteristic, complemented
14#10609124C211yesmaximal, characteristic, complemented
15#10609120C211yesmaximal, characteristic, complemented
16#10608786C211yesmaximal, characteristic, complemented
17#10608761C211yesmaximal, characteristic, complemented
18#10608747C211yesmaximal, characteristic, complemented
19#10608740C211yesmaximal, characteristic, complemented
20#10608469C211yesmaximal, characteristic, complemented
21#10608460C211yesmaximal, characteristic, complemented
22#10608148C211yesmaximal, characteristic, complemented
23#10608145C211yesmaximal, characteristic, complemented
24#10607462C211yesmaximal, characteristic, complemented
25#10607458C211yesmaximal, characteristic, complemented
26#10606657C211yesmaximal, characteristic, complemented
27#10606597C211yesmaximal, characteristic, complemented
28#10606466C211yesmaximal, characteristic, complemented
29#10606393C211yesmaximal, characteristic, complemented
30#10606356C211yesmaximal, characteristic, complemented
31#10606145C211yesmaximal, characteristic, complemented
32C24×Dic5C2211yescharacteristic
33C22×#711C2211yescharacteristic
34C2×C5×#121C2211yescharacteristic
35C2×C5×#121C2211yescharacteristic
36C2×C5×#120C2211yescharacteristic
37C2×C5×#120C2211yescharacteristic
38C2×C4×C5×D4C2211yescharacteristic
39C22×C5×C22⋊C4C2211yescharacteristic
40C2×#4099C2211yescharacteristic
41C22×C22⋊Dic5C2211yescharacteristic
42C2×#4085C2211yescharacteristic
43C2×#4085C2211yescharacteristic
44C2×#4085C2211yescharacteristic
45C2×#4081C2211yescharacteristic
46C2×#4081C2211yescharacteristic
47C2×#4081C2211yescharacteristic
48C2×#4075C2211yescharacteristic, complemented
49C2×#4070C2211yescharacteristic
50C22×#683C2211yescharacteristic
51C22×#683C2211yescharacteristic
52C2×#4031C2211yescharacteristic
53C2×#4025C2211yescharacteristic, complemented
54C2×#4023C2211yescharacteristic
55C5×#396C2211yescharacteristic
56C5×#394C2211yescharacteristic
57C5×#394C2211yescharacteristic
58C5×#392C2211yescharacteristic
59C5×#390C2211yescharacteristic
60C5×#388C2211yescharacteristic
61C5×#386C2211yescharacteristic
62C5×#386C2211yescharacteristic
63C5×#385C2211yescharacteristic
64#65536C2211yescharacteristic
65#65512C2211yescharacteristic
66#65512C2211yescharacteristic
67#65512C2211yescharacteristic, complemented
68#65511C2211yescharacteristic
69#65511C2211yescharacteristic
70#65511C2211yescharacteristic, complemented
71#65511C2211yescharacteristic, complemented
72#65510C2211yescharacteristic
73#65510C2211yescharacteristic
74#65509C2211yescharacteristic
75#65509C2211yescharacteristic
76#65509C2211yescharacteristic
77#65509C2211yescharacteristic
78#65509C2211yescharacteristic
79#65509C2211yescharacteristic
80#65509C2211yescharacteristic
81#65509C2211yescharacteristic
82#65509C2211yescharacteristic
83#65509C2211yescharacteristic
84#65509C2211yescharacteristic
85#65509C2211yescharacteristic, complemented
86#65502C2211yescharacteristic
87#65502C2211yescharacteristic
88#65499C2211yescharacteristic, complemented
89#65499C2211yescharacteristic, complemented
90#65499C2211yescharacteristic, complemented
91C4×C22⋊Dic5C2211yescharacteristic
92C2×#3963C2211yescharacteristic
93C2×#3963C2211yescharacteristic
94#65283C2211yescharacteristic, complemented
95#65282C2211yescharacteristic, complemented
96#65281C2211yescharacteristic, complemented
97#65278C2211yescharacteristic, complemented
98#65275C2211yescharacteristic, complemented
99#65271C2211yescharacteristic, complemented
100#65271C2211yescharacteristic, complemented
101#65271C2211yescharacteristic, complemented
102#65270C2211yescharacteristic, complemented
103#65269C2211yescharacteristic, complemented
104#65269C2211yescharacteristic, complemented
105#65268C2211yescharacteristic, complemented
106#65268C2211yescharacteristic, complemented
107#65261C2211yescharacteristic, complemented
108#65261C2211yescharacteristic, complemented
109#65261C2211yescharacteristic, complemented
110#65250C2211yescharacteristic
111#65248C2211yescharacteristic
112#65248C2211yescharacteristic, complemented
113#65248C2211yescharacteristic, complemented
114#65247C2211yescharacteristic
115#65247C2211yescharacteristic
116#65247C2211yescharacteristic
117#65247C2211yescharacteristic
118#65246C2211yescharacteristic
119#65246C2211yescharacteristic, complemented
120#65246C2211yescharacteristic, complemented
121#65245C2211yescharacteristic
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic, complemented
124#65242C2211yescharacteristic, complemented
125#65242C2211yescharacteristic, complemented
126#65241C2211yescharacteristic
127#65241C2211yescharacteristic, complemented
128#65241C2211yescharacteristic, complemented
129#65240C2211yescharacteristic
130#65239C2211yescharacteristic
131#65237C2211yescharacteristic
132#65237C2211yescharacteristic
133#65237C2211yescharacteristic, complemented
134#65236C2211yescharacteristic
135#65236C2211yescharacteristic
136#65236C2211yescharacteristic
137#65236C2211yescharacteristic, complemented
138#65236C2211yescharacteristic, complemented
139#65236C2211yescharacteristic, complemented
140#65235C2211yescharacteristic
141#65235C2211yescharacteristic
142#65235C2211yescharacteristic
143#65235C2211yescharacteristic
144#65235C2211yescharacteristic
145#65235C2211yescharacteristic
146#65235C2211yescharacteristic
147#65235C2211yescharacteristic
148#65235C2211yescharacteristic
149#65235C2211yescharacteristic
150#65235C2211yescharacteristic
151#65235C2211yescharacteristic
152#65235C2211yescharacteristic, complemented
153#65234C2211yescharacteristic, complemented
154#65234C2211yescharacteristic, complemented
155#65234C2211yescharacteristic, complemented
156#65233C2211yescharacteristic
157#65233C2211yescharacteristic
158#65233C2211yescharacteristic
159#65232C2211yescharacteristic
160#65232C2211yescharacteristic
161#65232C2211yescharacteristic
162#65231C2211yescharacteristic
163#65231C2211yescharacteristic
164#65231C2211yescharacteristic
165#65231C2211yescharacteristic, complemented
166#65231C2211yescharacteristic, complemented
167#65229C2211yescharacteristic, complemented
168#65222C2211yescharacteristic, complemented
169#65222C2211yescharacteristic, complemented
170#65222C2211yescharacteristic, complemented
171#64964C2211yescharacteristic, complemented
172#64963C2211yescharacteristic, complemented
173#64956C2211yescharacteristic, complemented
174#64956C2211yescharacteristic, complemented
175C5⋊#401C2211yescharacteristic, complemented
176#64949C2211yescharacteristic, complemented
177#64949C2211yescharacteristic, complemented
178#64947C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64941C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36791—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C23×Dic5—42no—
205C23×Dic5—42no—
206C23×Dic5—42no—
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C23×Dic5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C23×Dic5C2311yescharacteristic
216C2×#711—24no—
217C2×#711—42no—
218C2×#711—42no—
219C22×C4×D5C2311yescharacteristic
220C22×Dic10C2311yescharacteristic
221C22×Dic10C2311yescharacteristic
222C5×#121—42no—
223C5×#121—42no—
224C5×#120—42no—
225C5×#120—42no—
226C4×C5×D4—42no—
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4—42no—
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×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C42×C5C2311yescharacteristic
248#4099—42no—
249C2×C22⋊Dic5—24no—
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
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276#4085—42no—
277#4085—42no—
278#4085—42no—
279#4081—24no—
280#4081—42no—
281#4081—42no—
282#4075—42no—
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295#4070—42no—
296C2×#683—42no—
297C2×#683—42no—
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
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×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323#4031—42no—
324#4025—42no—
325#4023—42no—
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
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#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#2849—51no—
371#2847—51no—
372#2804—51no—
373#2797—51no—
374#2788—51no—
375#2784—51no—
376#2780—51no—
377#2778—51no—
378#2751—51no—
379#2750—51no—
380#2745—51no—
381#2714—51no—
382#2710—51no—
383#2708—51no—
384#2708—51no—
385#2695—51no—
386#2686—51no—
387#2682—51no—
388#2643—51no—
389#2639—51no—
390#2481—51no—
391#2472—51no—
392#2443—51no—
393#2438—51no—
394#2430—51no—
395#2424D511yescharacteristic, complemented
396#2411—51no—
397#2404—51no—
398#2322—51no—
399#2311—51no—
400C2×#385—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
412C24×C5C2411yescharacteristic
413C23×D5C2411yescharacteristic
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—22no—
424C2×C5×D4—41no—
425C2×C5×D4—41no—
426C2×C5×D4—41no—
427C2×C5×D4—41no—
428C2×C5×D4—41no—
429C2×C5×D4—41no—
430C2×C5×D4—41no—
431C2×C5×D4—41no—
432C2×C5×D4—41no—
433C2×C5×D4—41no—
434C2×C5×D4—41no—
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×C5C2411yescharacteristic
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
454C2×C22⋊D5—22no—
455C2×C22⋊D5—22no—
456C2×C22⋊D5—22no—
457C2×C22⋊D5—22no—
458C2×C22⋊D5—22no—
459C2×C22⋊D5—22no—
460C2×C22⋊D5—22no—
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—
469C22×Dic5—22no—
470C22×Dic5—22no—
471C22×Dic5—22no—
472C22×Dic5—22no—
473C22×Dic5—22no—
474C22×Dic5—22no—
475C22×Dic5—22no—
476C22×Dic5—22no—
477C22×Dic5—22no—
478C22×Dic5—22no—
479C22×Dic5—22no—
480C22×Dic5—41no—
481C22×Dic5—41no—
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—41no—
491C22×Dic5—41no—
492C22×Dic5—41no—
493C22×Dic5—41no—
494C22×Dic5—41no—
495C22×Dic5—416no—
496C22×Dic5#4114yes—
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512#711—416no—
513C2×C4×D5—22no—
514C2×C4×D5—41no—
515C2×C4×D5—41no—
516C2×Dic10—22no—
517C2×Dic10—41no—
518C2×Dic10—41no—
519C2×Dic10—41no—
520C2×Dic10—41no—
521C2×Dic10—41no—
522C5×C4⋊C4—41no—
523C5×C4⋊C4—41no—
524C5×C4⋊C4—41no—
525C5×C4⋊C4—41no—
526C5×C22⋊C4—22no—
527C5×C22⋊C4—22no—
528C5×C22⋊C4—22no—
529C5×C22⋊C4—22no—
530C5×C22⋊C4—41no—
531C5×C22⋊C4—41no—
532C5×C22⋊C4—41no—
533C5×C22⋊C4—41no—
534C5×C22⋊C4—41no—
535C5×C22⋊C4—41no—
536C5×C22⋊C4—41no—
537C5×C22⋊C4—41no—
538C5×C22⋊C4—41no—
539C5×C22⋊C4—41no—
540C5×C22⋊C4—41no—
541C42×C5—41no—
542C22⋊Dic5—22no—
543C22⋊Dic5—22no—
544C22⋊Dic5—22no—
545C22⋊Dic5—22no—
546C22⋊Dic5—22no—
547C22⋊Dic5—22no—
548C22⋊Dic5—22no—
549C22⋊Dic5—22no—
550C22⋊Dic5—22no—
551C22⋊Dic5—22no—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—41no—
555C22⋊Dic5—41no—
556C22⋊Dic5—41no—
557C22⋊Dic5—41no—
558C22⋊Dic5—41no—
559C22⋊Dic5—41no—
560C22⋊Dic5—41no—
561C22⋊Dic5—41no—
562C22⋊Dic5—41no—
563C22⋊Dic5—41no—
564C22⋊Dic5—41no—
565C22⋊Dic5—41no—
566C22⋊Dic5—41no—
567C22⋊Dic5—41no—
568#685—41no—
569#685—41no—
570#685—41no—
571#685—41no—
572#685—41no—
573#685—41no—
574#685—41no—
575#685—41no—
576#685—41no—
577C4⋊Dic5—41no—
578C4⋊Dic5—41no—
579C4⋊Dic5—41no—
580#683—22no—
581#683—22no—
582#683—22no—
583#683—22no—
584#683—22no—
585#683—22no—
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—
598#683—41no—
599#683—41no—
600#683—41no—
601C4×Dic5—41no—
602C4×Dic5—41no—
603C4×Dic5—41no—
604C4×Dic5—41no—
605C22×#41—51no—
606C24×C4—51no—
607C2×#126—51no—
608C2×#124—51no—
609C2×#123—51no—
610C2×#123—51no—
611C2×#123—51no—
612C2×#123—51no—
613C2×C22⋊Q8—51no—
614C2×#121—51no—
615C2×#121—51no—
616C2×#121—51no—
617C2×#121C2×D511yescharacteristic
618C2×#121C2×D511yescharacteristic
619C2×#120—51no—
620C2×#120C2×D511yescharacteristic
621C2×#120C2×D511yescharacteristic
622C2×C4×D4C2×D511yescharacteristic
623C2×#117—51no—
624C22×C4⋊C4—51no—
625C22×C4⋊C4—51no—
626C22×C22⋊C4—51no—
627C22×C22⋊C4C2×D511yescharacteristic
628#401—51no—
629#400—51no—
630#400—51no—
631#400—51no—
632#400—51no—
633#400—51no—
634#400—51no—
635#400—51no—
636#400—51no—
637#399—51no—
638#398—51no—
639#398—51no—
640#398—51no—
641#397—51no—
642#397—51no—
643#397—51no—
644#397—51no—
645#397—51no—
646#397—51no—
647#397—51no—
648#397—51no—
649#396—51no—
650#396—51no—
651#396—51no—
652#396—51no—
653#396C2×D511yescharacteristic
654#395—51no—
655#395—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#394C2×D511yescharacteristic
665#394C2×D511yescharacteristic
666#393—51no—
667#393—51no—
668#393—51no—
669#393—51no—
670#393—51no—
671#393—51no—
672#392—51no—
673#392—51no—
674#392—51no—
675#392C2×D511yescharacteristic
676#391—51no—
677#391—51no—
678#391—51no—
679#390—51no—
680#390—51no—
681#390—51no—
682#390—51no—
683#390—51no—
684#390C2×D511yescharacteristic
685#389—51no—
686#389—51no—
687#389—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#388C2×D511yescharacteristic
697#387—51no—
698#387—51no—
699#387—51no—
700#387—51no—
701#387—51no—
702#387—51no—
703#387—51no—
704#386—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#386—51no—
720#386—51no—
721#386—51no—
722#386—51no—
723#386—51no—
724#386—51no—
725#386C2×D511yescharacteristic
726#386C2×D511yescharacteristic
727#385—51no—
728#385—51no—
729#385—51no—
730#385—51no—
731#385—51no—
732#385—51no—
733#385—51no—
734#385—51no—
735#385—51no—
736#385—51no—
737#385—51no—
738#385—51no—
739#385—51no—
740#385—51no—
741#385—51no—
742#385—51no—
743#385—51no—
744#385—51no—
745#385C2×D511yescharacteristic
746#381—51no—
747#381—51no—
748#381—51no—
749#380—51no—
750#380—51no—
751#380—51no—
752#380—51no—
753#380—51no—
754#380—51no—
755#380—51no—
756#379—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—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—44no—
792C23×C5—44no—
793C23×C5—44no—
794C23×C5—44no—
795C23×C5—44no—
796C23×C5—44no—
797C23×C5C2×#4112yes—
798C23×C5H(5,𝔽2)12yes—
799C23×C5H(5,𝔽2)12yes—
800C23×C5H(5,𝔽2)12yes—
801C23×C52−1+412yes—
802C23×C5C2511yescharacteristic
803C22×D5—21no—
804C22×D5—21no—
805C22×D5—21no—
806C22×D5—21no—
807C22×D5—21no—
808C22×D5—21no—
809C22×D5—21no—
810C5×D4—44no—
811C5×D4—44no—
812C5×D4—82no—
813C5×D4—82no—
814C5×D4—82no—
815C5×D4—82no—
816C5×D4—82no—
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—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—82no—
848C2×C4×C5—82no—
849C2×C4×C5—82no—
850C22⋊D5—44no—
851C22⋊D5—44no—
852C22⋊D5—82no—
853C22⋊D5—82no—
854C22⋊D5—82no—
855C2×Dic5—28no—
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—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—44no—
899C2×Dic5—44no—
900C2×Dic5—44no—
901C2×Dic5—44no—
902C2×Dic5—44no—
903C2×Dic5—44no—
904C2×Dic5—44no—
905C2×Dic5—44no—
906C2×Dic5C2×#4112yes—
907C2×Dic5C2×#4112yes—
908C2×Dic5H(5,𝔽2)12yes—
909C4×D5—44no—
910Dic10—44no—
911Dic10—82no—
912C25C22×D511yescharacteristic
913C2×#41—104no—
914C2×#41—202no—
915C2×#41—202no—
916C22×Q8—51no—
917C22×Q8—51no—
918C22×D4—51no—
919C22×D4—51no—
920C22×D4—51no—
921C22×D4—51no—
922C22×D4—51no—
923C22×D4C22×D511yescharacteristic
924C22×D4C22×D511yescharacteristic
925C22×D4C22×D511yescharacteristic
926C22×D4C22×D511yescharacteristic
927C22×D4C22×D511yescharacteristic
928C22×D4C22×D511yescharacteristic
929C22×D4C22×D511yescharacteristic
930C23×C4—51no—
931C23×C4—51no—
932C23×C4—51no—
933C23×C4—51no—
934C23×C4—51no—
935C23×C4—51no—
936C23×C4—51no—
937C23×C4—51no—
938C23×C4—51no—
939C23×C4—51no—
940C23×C4—202no—
941C23×C4—202no—
942C23×C4—202no—
943C23×C4C22×D511yescharacteristic
944C23×C4C22×D511yescharacteristic
945C23×C4C22×D511yescharacteristic
946#126—202no—
947#124—202no—
948#123—104no—
949#123—202no—
950#123—202no—
951#123—202no—
952C22⋊Q8—202no—
953#121—42no—
954#121—42no—
955#121—202no—
956#121—202no—
957#121—202no—
958#120—42no—
959#120—42no—
960#120—202no—
961C4×D4—42no—
962#117—202no—
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⋊C4—51no—
987C2×C4⋊C4—202no—
988C2×C4⋊C4—202no—
989C2×C4⋊C4C22×D511yescharacteristic
990C2×C4⋊C4C22×D511yescharacteristic
991C2×C4⋊C4C22×D511yescharacteristic
992C2×C4⋊C4C22×D511yescharacteristic
993C2×C22⋊C4—42no—
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—104no—
1030C2×C22⋊C4C22×D511yescharacteristic
1031C2×C22⋊C4C22×D511yescharacteristic
1032C2×C22⋊C4C22×D511yescharacteristic
1033C2×C22⋊C4C22×D511yescharacteristic
1034C2×C22⋊C4C22×D511yescharacteristic
1035C2×C22⋊C4C22×D511yescharacteristic
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×C42—51no—
1046C2×C42—51no—
1047C2×C42—51no—
1048C2×C42—51no—
1049C2×C42C22×D511yescharacteristic
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#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#95—51no—
1089#95—51no—
1090#95C22×D511yescharacteristic
1091#95C22×D511yescharacteristic
1092#95C22×D511yescharacteristic
1093#95C22×D511yescharacteristic
1094C22×C5—22no—
1095C22×C5—22no—
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—416no—
1107C22×C5—41no—
1108C22×C5—41no—
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—41no—
1125C22×C5—41no—
1126C22×C5—41no—
1127C22×C5—41no—
1128C22×C5—41no—
1129C22×C5#53814yes—
1130C22×C5C22×#4111yescharacteristic
1131C22×C5C2×H(5,𝔽2)11yescharacteristic
1132C22×C5C2×H(5,𝔽2)11yescharacteristic
1133C22×C5C2×H(5,𝔽2)11yescharacteristic
1134C22×C5C2×H(5,𝔽2)11yescharacteristic
1135C22×C5C2×2−1+411yescharacteristic
1136C22×C5#58511yescharacteristic
1137C2×D5—41no—
1138C2×D5—41no—
1139C2×D5—41no—
1140C2×D5—41no—
1141C2×D5—41no—
1142C2×D5—41no—
1143C2×D5—41no—
1144C4×C5—41no—
1145C4×C5—41no—
1146C4×C5—41no—
1147C4×C5—41no—
1148C4×C5—41no—
1149C4×C5—41no—
1150C4×C5—41no—
1151C4×C5—41no—
1152C4×C5—41no—
1153C4×C5—41no—
1154Dic5—22no—
1155Dic5—22no—
1156Dic5—22no—
1157Dic5—41no—
1158Dic5—41no—
1159Dic5—41no—
1160Dic5—41no—
1161Dic5—41no—
1162Dic5—41no—
1163Dic5—41no—
1164Dic5—41no—
1165Dic5—41no—
1166Dic5—41no—
1167Dic5—41no—
1168Dic5—41no—
1169C24—22no—
1170C24—22no—
1171C24—22no—
1172C24—22no—
1173C24—22no—
1174C24—41no—
1175C24—41no—
1176C24—51no—
1177C24C23×D511yescharacteristic
1178C24C23×D511yescharacteristic
1179C24C23×D511yescharacteristic
1180C24C23×D511yescharacteristic
1181C24C23×D511yescharacteristic
1182#41—2016no—
1183C2×Q8—102no—
1184C2×Q8—201no—
1185C2×Q8—201no—
1186C2×Q8—201no—
1187C2×Q8—201no—
1188C2×Q8—201no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
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—201no—
1218C2×D4—201no—
1219C2×D4—201no—
1220C2×D4—201no—
1221C2×D4—201no—
1222C2×D4—201no—
1223C2×D4—201no—
1224C2×D4—201no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—54no—
1235C22×C4—51no—
1236C22×C4—51no—
1237C22×C4—51no—
1238C22×C4—51no—
1239C22×C4—51no—
1240C22×C4—51no—
1241C22×C4—51no—
1242C22×C4—51no—
1243C22×C4—51no—
1244C22×C4—51no—
1245C22×C4—51no—
1246C22×C4—51no—
1247C22×C4—51no—
1248C22×C4—51no—
1249C22×C4—51no—
1250C22×C4—102no—
1251C22×C4—102no—
1252C22×C4—102no—
1253C22×C4—102no—
1254C22×C4—102no—
1255C22×C4—102no—
1256C22×C4—102no—
1257C22×C4—102no—
1258C22×C4—102no—
1259C22×C4—102no—
1260C22×C4—102no—
1261C22×C4—102no—
1262C22×C4—201no—
1263C22×C4—201no—
1264C22×C4—201no—
1265C22×C4—201no—
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×C4—201no—
1275C22×C4—201no—
1276C22×C4—201no—
1277C22×C4—201no—
1278C22×C4—201no—
1279C22×C4—2016no—
1280C22×C4C23×D511yescharacteristic
1281C22×C4C23×D511yescharacteristic
1282C22×C4C23×D511yescharacteristic
1283C22×C4C23×D511yescharacteristic
1284C22×C4C23×D511yescharacteristic
1285C22×C4C23×D511yescharacteristic
1286C22×C4C23×D511yescharacteristic
1287C22×C4C23×D511yescharacteristic
1288C22×C4C23×D511yescharacteristic
1289C22×C4C23×D511yescharacteristic
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—102no—
1295C4⋊C4—102no—
1296C4⋊C4—102no—
1297C4⋊C4—102no—
1298C4⋊C4—102no—
1299C4⋊C4—102no—
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—
1313C4⋊C4—201no—
1314C4⋊C4—201no—
1315C4⋊C4—201no—
1316C4⋊C4—201no—
1317C4⋊C4—201no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—102no—
1334C22⋊C4—102no—
1335C22⋊C4—102no—
1336C22⋊C4—102no—
1337C22⋊C4—102no—
1338C22⋊C4—102no—
1339C22⋊C4—102no—
1340C22⋊C4—102no—
1341C22⋊C4—102no—
1342C22⋊C4—102no—
1343C22⋊C4—102no—
1344C22⋊C4—102no—
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—
1368C42—41no—
1369C42—201no—
1370C42—201no—
1371C42—201no—
1372C42—201no—
1373C2×C5—24no—
1374C2×C5—42no—
1375C2×C5—42no—
1376C2×C5—81no—
1377C2×C5—81no—
1378C2×C5C2×#53811yescharacteristic
1379C2×C5#349211yescharacteristic
1380C2×C5#350611yescharacteristic
1381C2×C5#353211yescharacteristic
1382C2×C5#353411yescharacteristic
1383C2×C5#353511yescharacteristic
1384C2×C5#353611yescharacteristic
1385D5—81no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—28no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
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—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—101no—
1424C23—101no—
1425C23—101no—
1426C23—101no—
1427C23—101no—
1428C23—101no—
1429C23—101no—
1430C23#414412yes—
1431C23#414412yes—
1432C23#414412yes—
1433C23D5×#4112yes—
1434C23#415012yes—
1435C23C24×D511yescharacteristic
1436Q8—204no—
1437Q8—402no—
1438D4—44no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—204no—
1446D4—204no—
1447D4—402no—
1448D4—402no—
1449D4—402no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
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—52no—
1481C2×C4—52no—
1482C2×C4—52no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—108no—
1487C2×C4—101no—
1488C2×C4—101no—
1489C2×C4—101no—
1490C2×C4—101no—
1491C2×C4—101no—
1492C2×C4—101no—
1493C2×C4—101no—
1494C2×C4—101no—
1495C2×C4—101no—
1496C2×C4—101no—
1497C2×C4—101no—
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—204no—
1530C2×C4—204no—
1531C2×C4—204no—
1532C2×C4—204no—
1533C2×C4—204no—
1534C2×C4—204no—
1535C2×C4—204no—
1536C2×C4—204no—
1537C2×C4—204no—
1538C5#3679111yescharacteristic, complemented, Sylow
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
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—41no—
1573C22—41no—
1574C22—201no—
1575C22—201no—
1576C22—201no—
1577C22—201no—
1578C22—201no—
1579C22—201no—
1580C22—201no—
1581C22#6594714yes—
1582C22C2×#414411yescharacteristic
1583C22C2×#414411yescharacteristic
1584C22C2×#414411yescharacteristic
1585C22C2×D5×#4111yescharacteristic
1586C22C2×#415011yescharacteristic
1587C22D5×H(5,𝔽2)11yescharacteristic
1588C22#6628511yescharacteristic
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—102no—
1600C4—102no—
1601C4—102no—
1602C4—201no—
1603C4—201no—
1604C4—201no—
1605C4—201no—
1606C4—201no—
1607C4—201no—
1608C4—201no—
1609C4—201no—
1610C4—201no—
1611C4—201no—
1612C4—201no—
1613C4—201no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—401no—
1620C2C2×#6594711yescharacteristic
1621C2#1061792611yescharacteristic
1622C2#1061829211yescharacteristic
1623C2#1061851411yescharacteristic
1624C2#1061852311yescharacteristic
1625C2#1061854711yescharacteristic
1626C2#1061854811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2424C2
hypercenter#2424D5
hypocenterC5#36791
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C5×#2424C2semidirect
2. #10614425C2semidirect
3. #10614417C2semidirect
4. #10614410C2semidirect
5. #10614382C2semidirect
6. #10614333C2semidirect
7. #10614332C2semidirect
8. #10614314C2semidirect
9. #10614312C2semidirect
10. #10614087C2semidirect
11. #10614057C2semidirect
12. #10613842C2semidirect
13. C2×#65235C2semidirect
14. #10609124C2semidirect
15. #10609120C2semidirect
16. #10608786C2semidirect
17. #10608761C2semidirect
18. #10608747C2semidirect
19. #10608740C2semidirect
20. #10608469C2semidirect
21. #10608460C2semidirect
22. #10608148C2semidirect
23. #10608145C2semidirect
24. #10607462C2semidirect
25. #10607458C2semidirect
26. #10606657C2semidirect
27. #10606597C2semidirect
28. #10606466C2semidirect
29. #10606393C2semidirect
30. #10606356C2semidirect
31. #10606145C2semidirect
48. C2×#4075C22semidirect
53. C2×#4025C22semidirect
67. #65512C22semidirect
70. #65511C22semidirect
71. #65511C22semidirect
85. #65509C22semidirect
88. #65499C22semidirect
89. #65499C22semidirect
90. #65499C22semidirect
94. #65283C22semidirect
95. #65282C22semidirect
96. #65281C22semidirect
97. #65278C22semidirect
98. #65275C22semidirect
99. #65271C22semidirect
100. #65271C22semidirect
101. #65271C22semidirect
102. #65270C22semidirect
103. #65269C22semidirect
104. #65269C22semidirect
105. #65268C22semidirect
106. #65268C22semidirect
107. #65261C22semidirect
108. #65261C22semidirect
109. #65261C22semidirect
112. #65248C22semidirect
113. #65248C22semidirect
119. #65246C22semidirect
120. #65246C22semidirect
123. #65245C22semidirect
124. #65242C22semidirect
125. #65242C22semidirect
127. #65241C22semidirect
128. #65241C22semidirect
133. #65237C22semidirect
137. #65236C22semidirect
138. #65236C22semidirect
139. #65236C22semidirect
152. #65235C22semidirect
153. #65234C22semidirect
154. #65234C22semidirect
155. #65234C22semidirect
165. #65231C22semidirect
166. #65231C22semidirect
167. #65229C22semidirect
168. #65222C22semidirect
169. #65222C22semidirect
170. #65222C22semidirect
171. #64964C22semidirect
172. #64963C22semidirect
173. #64956C22semidirect
174. #64956C22semidirect
175. C5⋊#401C22semidirect
176. #64949C22semidirect
177. #64949C22semidirect
178. #64947C22semidirect
179. #64947C22semidirect
180. #64946C22semidirect
181. #64942C22semidirect
182. #64941C22semidirect
183. #64941C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
395. #2424D5semidirect
1538. C5#36791semidirect

Maximal subgroups

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

subgroupindex
C5×#24242
#106144252
#106144172
#106144102
#106143822
#106143332
#106143322
#106143142
#106143122
#106140872
#106140572
#106138422
C2×#652352
#106091242
#106091202
#106087862
#106087612
#106087472
#106087402
#106084692
#106084602
#106081482
#106081452
#106074622
#106074582
#106066572
#106065972
#106064662
#106063932
#106063562
#106061452
#367915