Finite Group Databasebeta

← #12272590

Subgroups — #12272590

Order 1280.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2418C211yesmaximal, characteristic, complemented
2#10614622C211yesmaximal, characteristic, complemented
3#10614592C211yesmaximal, characteristic, complemented
4#10614313C211yesmaximal, characteristic
5#10614309C211yesmaximal, characteristic, complemented
6#10614135C211yesmaximal, characteristic, complemented
7C4×D4×Dic5C211yesmaximal, characteristic, complemented
8#10613843C211yesmaximal, characteristic, complemented
9C2×#65246C211yesmaximal, characteristic, complemented
10#10609786C211yesmaximal, characteristic, complemented
11#10609753C211yesmaximal, characteristic, complemented
12#10609287C211yesmaximal, characteristic, complemented
13#10609226C211yesmaximal, characteristic, complemented
14#10608718C211yesmaximal, characteristic, complemented
15#10608716C211yesmaximal, characteristic, complemented
16#10608665C211yesmaximal, characteristic, complemented
17#10608632C211yesmaximal, characteristic, complemented
18#10607552C211yesmaximal, characteristic, complemented
19#10607551C211yesmaximal, characteristic, complemented
20#10607352C211yesmaximal, characteristic, complemented
21#10607351C211yesmaximal, characteristic, complemented
22#10606606C211yesmaximal, characteristic, complemented
23#10606600C211yesmaximal, characteristic, complemented
24#10606486C211yesmaximal, characteristic, complemented
25#10606424C211yesmaximal, characteristic, complemented
26#10606183C211yesmaximal, characteristic, complemented
27#10606112C211yesmaximal, characteristic, complemented
28#10605735C211yesmaximal, characteristic, complemented
29#10605633C211yesmaximal, characteristic, complemented
30#10605558C211yesmaximal, characteristic, complemented
31#10605551C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C2×C5×#123C2211yescharacteristic, complemented
34C2×C5×#120C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic
36C22×C5×C22⋊C4C2211yescharacteristic
37C22×C22⋊Dic5C2211yescharacteristic
38C2×#4085C2211yescharacteristic
39C2×#4085C2211yescharacteristic
40C2×#4083C2211yescharacteristic
41C2×D4×Dic5C2211yescharacteristic
42C2×D4×Dic5C2211yescharacteristic
43C2×#4075C2211yescharacteristic, complemented
44C22×#685C2211yescharacteristic
45C22×#685C2211yescharacteristic
46C22×#683C2211yescharacteristic
47C22×C4×Dic5C2211yescharacteristic
48C22×C4×Dic5C2211yescharacteristic, complemented
49C2×#4044C2211yescharacteristic, complemented
50C2×#4035C2211yescharacteristic, complemented
51C2×#4033C2211yescharacteristic, complemented
52C2×#4031C2211yescharacteristic
53C2×#4031C2211yescharacteristic
54C2×#4025C2211yescharacteristic, complemented
55C2×#4024C2211yescharacteristic
56C2×#4024C2211yescharacteristic, complemented
57C5×#399C2211yescharacteristic, complemented
58C5×#397C2211yescharacteristic, complemented
59C5×#394C2211yescharacteristic, complemented
60C5×#394C2211yescharacteristic, complemented
61C5×#388C2211yescharacteristic, complemented
62C5×#388C2211yescharacteristic, complemented
63C5×#386C2211yescharacteristic
64C5×#386C2211yescharacteristic, complemented
65C5×#385C2211yescharacteristic
66C5×#380C2211yescharacteristic
67C5×#379C2211yescharacteristic
68#65536C2211yescharacteristic
69#65536C2211yescharacteristic
70#65512C2211yescharacteristic
71#65512C2211yescharacteristic
72#65510C2211yescharacteristic, complemented
73#65510C2211yescharacteristic, complemented
74#65509C2211yescharacteristic
75#65509C2211yescharacteristic, complemented
76#65509C2211yescharacteristic, complemented
77#65502C2211yescharacteristic, complemented
78#65501C2211yescharacteristic
79#65499C2211yescharacteristic
80#65499C2211yescharacteristic
81C4×C22⋊Dic5C2211yescharacteristic
82C4×C22⋊Dic5C2211yescharacteristic, complemented
83#65283C2211yescharacteristic, complemented
84#65282C2211yescharacteristic, complemented
85#65282C2211yescharacteristic, complemented
86#65281C2211yescharacteristic, complemented
87#65279C2211yescharacteristic, complemented
88#65279C2211yescharacteristic, complemented
89#65279C2211yescharacteristic, complemented
90#65279C2211yescharacteristic, complemented
91#65279C2211yescharacteristic, complemented
92#65272C2211yescharacteristic, complemented
93#65271C2211yescharacteristic, complemented
94#65267C2211yescharacteristic, complemented
95C4⋊C4×Dic5C2211yescharacteristic, complemented
96C4⋊C4×Dic5C2211yescharacteristic, complemented
97C4⋊C4×Dic5C2211yescharacteristic, complemented
98#65261C2211yescharacteristic, complemented
99#65261C2211yescharacteristic, complemented
100#65250C2211yescharacteristic
101#65250C2211yescharacteristic
102#65250C2211yescharacteristic
103#65250C2211yescharacteristic
104#65248C2211yescharacteristic
105#65248C2211yescharacteristic
106#65248C2211yescharacteristic, complemented
107#65248C2211yescharacteristic, complemented
108#65247C2211yescharacteristic, complemented
109#65247C2211yescharacteristic, complemented
110#65246C2211yescharacteristic
111#65246C2211yescharacteristic
112#65246C2211yescharacteristic
113#65246C2211yescharacteristic
114#65246C2211yescharacteristic
115#65246C2211yescharacteristic
116#65246C2211yescharacteristic
117#65246C2211yescharacteristic
118#65246C2211yescharacteristic
119#65246C2211yescharacteristic
120#65246C2211yescharacteristic
121#65246C2211yescharacteristic
122#65246C2211yescharacteristic, complemented
123#65246C2211yescharacteristic, complemented
124#65244C2211yescharacteristic
125#65244C2211yescharacteristic
126#65244C2211yescharacteristic
127#65242C2211yescharacteristic, complemented
128#65241C2211yescharacteristic, complemented
129#65241C2211yescharacteristic, complemented
130#65240C2211yescharacteristic, complemented
131#65240C2211yescharacteristic, complemented
132#65240C2211yescharacteristic, complemented
133#65240C2211yescharacteristic, complemented
134#65240C2211yescharacteristic, complemented
135#65239C2211yescharacteristic
136#65237C2211yescharacteristic, complemented
137#65237C2211yescharacteristic, complemented
138#65237C2211yescharacteristic, complemented
139#65234C2211yescharacteristic, complemented
140#65234C2211yescharacteristic, complemented
141#65234C2211yescharacteristic, complemented
142#65234C2211yescharacteristic, complemented
143#65234C2211yescharacteristic, complemented
144#65233C2211yescharacteristic, complemented
145#65233C2211yescharacteristic, complemented
146#65233C2211yescharacteristic, complemented
147#65233C2211yescharacteristic, complemented
148#65233C2211yescharacteristic, complemented
149#65231C2211yescharacteristic
150#65231C2211yescharacteristic
151#65231C2211yescharacteristic
152#65231C2211yescharacteristic, complemented
153C22⋊C4×Dic5C2211yescharacteristic
154C22⋊C4×Dic5C2211yescharacteristic
155C22⋊C4×Dic5C2211yescharacteristic
156C22⋊C4×Dic5C2211yescharacteristic
157C22⋊C4×Dic5C2211yescharacteristic, complemented
158C22⋊C4×Dic5C2211yescharacteristic, complemented
159#65229C2211yescharacteristic, complemented
160#65229C2211yescharacteristic, complemented
161C4×C4⋊Dic5C2211yescharacteristic, complemented
162C42×Dic5C2211yescharacteristic, complemented
163#64964C2211yescharacteristic, complemented
164#64963C2211yescharacteristic, complemented
165#64959C2211yescharacteristic, complemented
166#64959C2211yescharacteristic, complemented
167#64959C2211yescharacteristic, complemented
168#64959C2211yescharacteristic, complemented
169#64959C2211yescharacteristic, complemented
170#64959C2211yescharacteristic, complemented
171#64959C2211yescharacteristic, complemented
172#64958C2211yescharacteristic, complemented
173#64958C2211yescharacteristic, complemented
174#64958C2211yescharacteristic, complemented
175#64950C2211yescharacteristic, complemented
176#64947C2211yescharacteristic, complemented
177#64946C2211yescharacteristic, complemented
178#64946C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64939C2211yescharacteristic, complemented
181#64938C2211yescharacteristic, complemented
182#64938C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#35025—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C22×C22⋊D5—24no—
197C22×C22⋊D5—42no—
198C22×C22⋊D5—42no—
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C22×Dic10C2311yescharacteristic
211C5×#123—42no—
212C5×#120—24no—
213C4×C5×D4—24no—
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4—42no—
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊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×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C42×C5C2311yescharacteristic
237C2×C22⋊Dic5—24no—
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
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258#4085—42no—
259#4085—42no—
260#4083—24no—
261D4×Dic5—24no—
262D4×Dic5—24no—
263#4075—42no—
264C2×#685—24no—
265C2×#685—42no—
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
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×C4⋊Dic5C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×#683—42no—
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
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×C4×Dic5—42no—
313C2×C4×Dic5—42no—
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330#4044—42no—
331#4035—42no—
332#4033—42no—
333#4031—42no—
334#4031—42no—
335#4025—42no—
336#4024—24no—
337#4024—42no—
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340C5×#95C2311yescharacteristic
341C5×#95C2311yescharacteristic
342C5×#95C2311yescharacteristic
343C5×#95C2311yescharacteristic
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#2861—51no—
371#2860—51no—
372#2854—51no—
373#2850—51no—
374#2651—51no—
375#2651—51no—
376#2648—51no—
377#2648—51no—
378#2593—51no—
379#2593—51no—
380#2554—51no—
381#2554—51no—
382#2513—51no—
383#2490—51no—
384#2480—51no—
385#2480—51no—
386#2448—51no—
387#2442—51no—
388#2435—51no—
389#2426—51no—
390#2418—51no—
391#2418D511yescharacteristic, complemented
392#2417—51no—
393#2408—51no—
394#2321—51no—
395#2321—51no—
396#2312—51no—
397#2312—51no—
398C4×C22⋊Q8—51no—
399C2×#390—51no—
400C42×D4—51no—
401C24×C5—22no—
402C24×C5—22no—
403C24×C5—22no—
404C24×C5—41no—
405C24×C5—41no—
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—41no—
426C2×C5×D4—41no—
427C2×C5×D4—41no—
428C2×C5×D4—41no—
429C2×C5×D4#4114yes—
430C22×C4×C5—22no—
431C22×C4×C5—22no—
432C22×C4×C5—22no—
433C22×C4×C5—22no—
434C22×C4×C5—22no—
435C22×C4×C5—41no—
436C22×C4×C5—41no—
437C22×C4×C5—41no—
438C22×C4×C5—41no—
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C2×C22⋊D5—22no—
451C2×C22⋊D5—22no—
452C2×C22⋊D5—22no—
453C2×C22⋊D5—22no—
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—41no—
461C2×C22⋊D5—41no—
462C2×C22⋊D5—41no—
463C2×C22⋊D5—41no—
464C2×C22⋊D5—416no—
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—41no—
477C22×Dic5—41no—
478C22×Dic5—41no—
479C22×Dic5—41no—
480C22×Dic5—41no—
481C22×Dic5—41no—
482C22×Dic5#4114yes—
483C22×Dic5#4114yes—
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C2×Dic10—22no—
499C2×Dic10—22no—
500C2×Dic10—22no—
501C5×C4⋊C4—22no—
502C5×C4⋊C4—22no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C4⋊C4—41no—
506C5×C22⋊C4—22no—
507C5×C22⋊C4—22no—
508C5×C22⋊C4—22no—
509C5×C22⋊C4—22no—
510C5×C22⋊C4—22no—
511C5×C22⋊C4—22no—
512C5×C22⋊C4—22no—
513C5×C22⋊C4—22no—
514C5×C22⋊C4—41no—
515C5×C22⋊C4—41no—
516C5×C22⋊C4—41no—
517C5×C22⋊C4—41no—
518C5×C22⋊C4—41no—
519C5×C22⋊C4—41no—
520C5×C22⋊C4—41no—
521C5×C22⋊C4—41no—
522C42×C5—22no—
523C22⋊Dic5—22no—
524C22⋊Dic5—22no—
525C22⋊Dic5—22no—
526C22⋊Dic5—22no—
527C22⋊Dic5—22no—
528C22⋊Dic5—22no—
529C22⋊Dic5—22no—
530C22⋊Dic5—22no—
531C22⋊Dic5—22no—
532C22⋊Dic5—22no—
533C22⋊Dic5—41no—
534C22⋊Dic5—41no—
535C22⋊Dic5—41no—
536C22⋊Dic5—41no—
537C22⋊Dic5—41no—
538C22⋊Dic5—41no—
539C22⋊Dic5—41no—
540C22⋊Dic5—41no—
541C22⋊Dic5—41no—
542C22⋊Dic5—41no—
543#685—22no—
544#685—22no—
545#685—22no—
546#685—22no—
547#685—22no—
548#685—22no—
549#685—22no—
550#685—22no—
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—
561#685—41no—
562#685—41no—
563#685—41no—
564#685—41no—
565C4⋊Dic5—22no—
566C4⋊Dic5—22no—
567C4⋊Dic5—22no—
568C4⋊Dic5—41no—
569C4⋊Dic5—41no—
570C4⋊Dic5—41no—
571C4⋊Dic5—41no—
572#683—22no—
573#683—22no—
574#683—22no—
575#683—22no—
576#683—22no—
577#683—22no—
578#683—22no—
579#683—41no—
580#683—41no—
581#683—41no—
582#683—41no—
583#683—41no—
584#683—41no—
585#683—41no—
586#683—41no—
587#683—41no—
588C4×Dic5—22no—
589C4×Dic5—22no—
590C4×Dic5—22no—
591C4×Dic5—22no—
592C4×Dic5—22no—
593C4×Dic5—22no—
594C4×Dic5—22no—
595C4×Dic5—41no—
596C4×Dic5—41no—
597C4×Dic5—41no—
598C4×Dic5—41no—
599C4×Dic5—41no—
600C4×Dic5—41no—
601C4×Dic5—41no—
602C4×Dic5—41no—
603C4×Dic5—41no—
604C23×D4—51no—
605C2×#126—51no—
606C2×#126—51no—
607C2×#125—51no—
608C2×#124—51no—
609C2×#124—51no—
610C2×#123—51no—
611C2×#123C2×D511yescharacteristic, complemented
612C2×C22⋊Q8—51no—
613C2×C22⋊Q8—51no—
614C2×#121—51no—
615C2×#121—51no—
616C2×#120—51no—
617C2×#120C2×D511yescharacteristic
618C2×C4×Q8—51no—
619C2×C4×D4—51no—
620C2×C4×D4—51no—
621C2×C4×D4C2×D511yescharacteristic
622C22×C4⋊C4—51no—
623C22×C22⋊C4—51no—
624C22×C22⋊C4—51no—
625C22×C22⋊C4—51no—
626C22×C22⋊C4C2×D511yescharacteristic
627C22×C42—51no—
628C22×C42—51no—
629#400—51no—
630#400—51no—
631#399—51no—
632#399C2×D511yescharacteristic, complemented
633#398—51no—
634#398—51no—
635#398—51no—
636#398—51no—
637#397—51no—
638#397—51no—
639#397—51no—
640#397—51no—
641#397—51no—
642#397—51no—
643#397—51no—
644#397C2×D511yescharacteristic, complemented
645#396—51no—
646#396—51no—
647#396—51no—
648#396—51no—
649#394—51no—
650#394—51no—
651#394—51no—
652#394—51no—
653#394—51no—
654#394—51no—
655#394—51no—
656#394—51no—
657#394C2×D511yescharacteristic, complemented
658#394C2×D511yescharacteristic, complemented
659#392—51no—
660#392—51no—
661#391—51no—
662#391—51no—
663#390—51no—
664#390—51no—
665#390—51no—
666#390—51no—
667#390—51no—
668#390—51no—
669#390—51no—
670#390—51no—
671#390—51no—
672#390—51no—
673#390—51no—
674#390—51no—
675#390—51no—
676#390—51no—
677#390—51no—
678#390—51no—
679#389—51no—
680#389—51no—
681#389—51no—
682#389—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#388—51no—
697#388—51no—
698#388—51no—
699#388—51no—
700#388—51no—
701#388—51no—
702#388—51no—
703#388—51no—
704#388—51no—
705#388—51no—
706#388—51no—
707#388—51no—
708#388—51no—
709#388—51no—
710#388—51no—
711#388—51no—
712#388—51no—
713#388—51no—
714#388—51no—
715#388C2×D511yescharacteristic, complemented
716#388C2×D511yescharacteristic, complemented
717#387—51no—
718#387—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, complemented
727#385—51no—
728#385—51no—
729#385—51no—
730#385C2×D511yescharacteristic
731#382—51no—
732#380—51no—
733#380—51no—
734#380—51no—
735#380—51no—
736#380—51no—
737#380C2×D511yescharacteristic
738#379—51no—
739#379—51no—
740#379—51no—
741#379—51no—
742#379—51no—
743#379C2×D511yescharacteristic
744C4×C4⋊C4—51no—
745C4×C4⋊C4—51no—
746C4×C4⋊C4—51no—
747C4×C4⋊C4—51no—
748C4×C4⋊C4—51no—
749C4×C4⋊C4—51no—
750C4×C22⋊C4—51no—
751C4×C22⋊C4—51no—
752C4×C22⋊C4—51no—
753C4×C22⋊C4—51no—
754C4×C22⋊C4—51no—
755C4×C22⋊C4—51no—
756C4×C22⋊C4—51no—
757C4×C22⋊C4—51no—
758C43—51no—
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×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—44no—
784C23×C5—44no—
785C23×C5—44no—
786C23×C5—82no—
787C23×C5—82no—
788C23×C5—82no—
789C23×C5—82no—
790C23×C5C2×#4112yes—
791C23×C5C2×#4112yes—
792C23×C5C2×#4112yes—
793C23×C5C2×#4112yes—
794C23×C5C2511yescharacteristic
795C22×D5—21no—
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—44no—
810C22×D5—44no—
811C22×D5—44no—
812C22×D5—82no—
813C22×D5—82no—
814C22×D5—82no—
815C22×D5—82no—
816C5×D4—28no—
817C5×D4—82no—
818C5×D4—82no—
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—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—44no—
851C2×C4×C5—44no—
852C2×C4×C5—82no—
853C2×C4×C5C2×#4112yes—
854C2×C4×C5H(5,𝔽2)12yes—
855C22⋊D5—44no—
856C22⋊D5—44no—
857C22⋊D5—44no—
858C22⋊D5—44no—
859C22⋊D5—82no—
860C22⋊D5—82no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—28no—
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—82no—
902C2×Dic5C2×#4112yes—
903C2×Dic5C2×#4112yes—
904C2×Dic5C2×#4112yes—
905C2×Dic5C2×#4112yes—
906C2×Dic5H(5,𝔽2)12yes—
907C2×Dic5H(5,𝔽2)12yes—
908Dic10—44no—
909C25—51no—
910C25C22×D511yescharacteristic
911C22×Q8—51no—
912C22×D4—51no—
913C22×D4—51no—
914C22×D4—51no—
915C22×D4—51no—
916C22×D4—51no—
917C22×D4—51no—
918C22×D4—104no—
919C22×D4—202no—
920C22×D4—202no—
921C22×D4C22×D511yescharacteristic
922C22×D4C22×D511yescharacteristic
923C22×D4C22×D511yescharacteristic
924C23×C4—51no—
925C23×C4—51no—
926C23×C4—51no—
927C23×C4—51no—
928C23×C4—51no—
929C23×C4C22×D511yescharacteristic
930C23×C4C22×D511yescharacteristic
931C23×C4C22×D511yescharacteristic
932#126—202no—
933#126—202no—
934#125—202no—
935#124—202no—
936#124—202no—
937#123—42no—
938#123—202no—
939C22⋊Q8—104no—
940C22⋊Q8—202no—
941#121—202no—
942#121—202no—
943#120—24no—
944#120—104no—
945C4×Q8—202no—
946C4×D4—24no—
947C4×D4—104no—
948C4×D4—104no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—51no—
955C2×C4⋊C4—51no—
956C2×C4⋊C4—51no—
957C2×C4⋊C4—51no—
958C2×C4⋊C4—51no—
959C2×C4⋊C4—51no—
960C2×C4⋊C4—51no—
961C2×C4⋊C4—51no—
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—202no—
973C2×C4⋊C4C22×D511yescharacteristic
974C2×C4⋊C4C22×D511yescharacteristic
975C2×C4⋊C4C22×D511yescharacteristic
976C2×C4⋊C4C22×D511yescharacteristic
977C2×C4⋊C4C22×D511yescharacteristic
978C2×C22⋊C4—42no—
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—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—104no—
1022C2×C22⋊C4—104no—
1023C2×C22⋊C4—202no—
1024C2×C22⋊C4C22×D511yescharacteristic
1025C2×C22⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4C22×D511yescharacteristic
1027C2×C22⋊C4C22×D511yescharacteristic
1028C2×C22⋊C4C22×D511yescharacteristic
1029C2×C22⋊C4C22×D511yescharacteristic
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×C42—51no—
1041C2×C42—51no—
1042C2×C42—51no—
1043C2×C42—51no—
1044C2×C42—51no—
1045C2×C42—51no—
1046C2×C42—51no—
1047C2×C42—51no—
1048C2×C42—51no—
1049C2×C42—51no—
1050C2×C42—51no—
1051C2×C42—51no—
1052C2×C42—51no—
1053C2×C42—51no—
1054C2×C42—51no—
1055C2×C42—51no—
1056C2×C42—202no—
1057C2×C42—202no—
1058C2×C42C22×D511yescharacteristic
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#95C22×D511yescharacteristic
1086#95C22×D511yescharacteristic
1087#95C22×D511yescharacteristic
1088#95C22×D511yescharacteristic
1089#95C22×D511yescharacteristic
1090#95C22×D511yescharacteristic
1091C22×C5—22no—
1092C22×C5—22no—
1093C22×C5—22no—
1094C22×C5—22no—
1095C22×C5—22no—
1096C22×C5—22no—
1097C22×C5—22no—
1098C22×C5—22no—
1099C22×C5—22no—
1100C22×C5—41no—
1101C22×C5—41no—
1102C22×C5—41no—
1103C22×C5—41no—
1104C22×C5—41no—
1105C22×C5—41no—
1106C22×C5—41no—
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—88no—
1119C22×C5#52914yes—
1120C22×C5C22×#4111yescharacteristic
1121C22×C5C22×#4111yescharacteristic
1122C22×C5C22×#4111yescharacteristic
1123C22×C5C2×H(5,𝔽2)11yescharacteristic
1124C22×C5C2×H(5,𝔽2)11yescharacteristic
1125C22×C5C2×H(5,𝔽2)11yescharacteristic
1126C22×C5#58511yescharacteristic
1127C2×D5—41no—
1128C2×D5—41no—
1129C2×D5—41no—
1130C2×D5—41no—
1131C2×D5—41no—
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—88no—
1142C4×C5—22no—
1143C4×C5—22no—
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—
1153Dic5—22no—
1154Dic5—22no—
1155Dic5—22no—
1156Dic5—41no—
1157Dic5—41no—
1158Dic5—41no—
1159Dic5—41no—
1160Dic5—41no—
1161Dic5—41no—
1162Dic5—41no—
1163Dic5—41no—
1164Dic5—41no—
1165Dic5—41no—
1166Dic5#53814yes—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—51no—
1175C24—51no—
1176C24—102no—
1177C24—102no—
1178C24—102no—
1179C24—201no—
1180C24—201no—
1181C24—201no—
1182C24—201no—
1183C24C23×D511yescharacteristic
1184C24C23×D511yescharacteristic
1185C24C23×D511yescharacteristic
1186C24C23×D511yescharacteristic
1187C2×Q8—102no—
1188C2×Q8—102no—
1189C2×Q8—102no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—102no—
1199C2×D4—102no—
1200C2×D4—102no—
1201C2×D4—102no—
1202C2×D4—102no—
1203C2×D4—102no—
1204C2×D4—102no—
1205C2×D4—102no—
1206C2×D4—102no—
1207C2×D4—102no—
1208C2×D4—201no—
1209C2×D4—201no—
1210C2×D4—201no—
1211C2×D4—201no—
1212C2×D4—2016no—
1213C2×D4—201no—
1214C2×D4—201no—
1215C2×D4—201no—
1216C2×D4—201no—
1217C2×D4#71114yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—51no—
1228C22×C4—54no—
1229C22×C4—51no—
1230C22×C4—51no—
1231C22×C4—51no—
1232C22×C4—54no—
1233C22×C4—51no—
1234C22×C4—51no—
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—102no—
1244C22×C4—102no—
1245C22×C4—102no—
1246C22×C4—102no—
1247C22×C4—102no—
1248C22×C4—102no—
1249C22×C4—102no—
1250C22×C4—201no—
1251C22×C4—201no—
1252C22×C4—201no—
1253C22×C4—201no—
1254C22×C4—201no—
1255C22×C4—201no—
1256C22×C4C23×D511yescharacteristic
1257C22×C4C23×D511yescharacteristic
1258C22×C4C23×D511yescharacteristic
1259C22×C4C23×D511yescharacteristic
1260C22×C4C23×D511yescharacteristic
1261C22×C4C23×D511yescharacteristic
1262C22×C4C23×D511yescharacteristic
1263C22×C4C23×D511yescharacteristic
1264C22×C4C23×D511yescharacteristic
1265C22×C4C23×D511yescharacteristic
1266C22×C4C23×D511yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—102no—
1273C4⋊C4—102no—
1274C4⋊C4—102no—
1275C4⋊C4—102no—
1276C4⋊C4—102no—
1277C4⋊C4—102no—
1278C4⋊C4—102no—
1279C4⋊C4—102no—
1280C4⋊C4—102no—
1281C4⋊C4—102no—
1282C4⋊C4—201no—
1283C4⋊C4—201no—
1284C4⋊C4—201no—
1285C4⋊C4—201no—
1286C4⋊C4—201no—
1287C4⋊C4—201no—
1288C4⋊C4—201no—
1289C4⋊C4—201no—
1290C4⋊C4—201no—
1291C4⋊C4—201no—
1292C4⋊C4—201no—
1293C4⋊C4—201no—
1294C4⋊C4—201no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—102no—
1312C22⋊C4—102no—
1313C22⋊C4—102no—
1314C22⋊C4—102no—
1315C22⋊C4—102no—
1316C22⋊C4—102no—
1317C22⋊C4—102no—
1318C22⋊C4—102no—
1319C22⋊C4—102no—
1320C22⋊C4—102no—
1321C22⋊C4—102no—
1322C22⋊C4—102no—
1323C22⋊C4—102no—
1324C22⋊C4—102no—
1325C22⋊C4—102no—
1326C22⋊C4—102no—
1327C22⋊C4—102no—
1328C22⋊C4—102no—
1329C22⋊C4—201no—
1330C22⋊C4—201no—
1331C22⋊C4—201no—
1332C22⋊C4—201no—
1333C22⋊C4—201no—
1334C22⋊C4—201no—
1335C22⋊C4—201no—
1336C22⋊C4—201no—
1337C22⋊C4—201no—
1338C22⋊C4—201no—
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—
1353C42—22no—
1354C42—102no—
1355C42—102no—
1356C42—102no—
1357C42—102no—
1358C42—102no—
1359C42—102no—
1360C42—102no—
1361C42—201no—
1362C42—201no—
1363C42—201no—
1364C42—201no—
1365C42—201no—
1366C42—201no—
1367C42—201no—
1368C42—201no—
1369C42—201no—
1370C2×C5—24no—
1371C2×C5—42no—
1372C2×C5—81no—
1373C2×C5—81no—
1374C2×C5C2×#52911yescharacteristic
1375C2×C5C2×#53811yescharacteristic
1376C2×C5#346011yescharacteristic
1377C2×C5#350511yescharacteristic
1378C2×C5#350811yescharacteristic
1379C2×C5#351411yescharacteristic
1380C2×C5#351911yescharacteristic
1381D5—81no—
1382D5—81no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
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—44no—
1408C23—44no—
1409C23—44no—
1410C23—82no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—101no—
1415C23—101no—
1416C23—101no—
1417C23—101no—
1418C23—101no—
1419C23—101no—
1420C23—101no—
1421C23—101no—
1422C23—101no—
1423C23—101no—
1424C23—101no—
1425C23—101no—
1426C23—101no—
1427C23—101no—
1428C23—204no—
1429C23—204no—
1430C23—204no—
1431C23—402no—
1432C23—402no—
1433C23—402no—
1434C23—402no—
1435C23C2×#71112yes—
1436C23C2×#71112yes—
1437C23D5×#4112yes—
1438C23D5×#4112yes—
1439C23C24×D511yescharacteristic
1440Q8—204no—
1441D4—28no—
1442D4—82no—
1443D4—82no—
1444D4—204no—
1445D4—204no—
1446D4—204no—
1447D4—204no—
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—21no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—52no—
1484C2×C4—52no—
1485C2×C4—52no—
1486C2×C4—52no—
1487C2×C4—52no—
1488C2×C4—52no—
1489C2×C4—82no—
1490C2×C4—108no—
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—204no—
1528C2×C4—204no—
1529C2×C4—204no—
1530C2×C4—402no—
1531C2×C4C2×#71112yes—
1532C2×C4#414412yes—
1533C5#3502511yescharacteristic, complemented, Sylow
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—88no—
1562C22—201no—
1563C22—201no—
1564C22—201no—
1565C22—201no—
1566C22—201no—
1567C22—201no—
1568C22—201no—
1569C22—201no—
1570C22—201no—
1571C22—201no—
1572C22—201no—
1573C22—201no—
1574C22—201no—
1575C22—201no—
1576C22—408no—
1577C22#6598314yes—
1578C22C22×#71111yescharacteristic
1579C22C2×#414411yescharacteristic
1580C22C2×D5×#4111yescharacteristic
1581C22C2×D5×#4111yescharacteristic
1582C22#6628311yescharacteristic
1583C22D5×H(5,𝔽2)11yescharacteristic
1584C22D5×H(5,𝔽2)11yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—54no—
1597C4—102no—
1598C4—102no—
1599C4—102no—
1600C4—201no—
1601C4—201no—
1602C4—201no—
1603C4—201no—
1604C4—201no—
1605C4—201no—
1606C4—201no—
1607C4—201no—
1608C4—201no—
1609C4—201no—
1610C2—24no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2—401no—
1615C2—401no—
1616C2C2×#6598311yescharacteristic
1617C2#1061792111yescharacteristic
1618C2D5×#53811yescharacteristic
1619C2#1061851211yescharacteristic
1620C2#1061853411yescharacteristic
1621C2#1061853811yescharacteristic
1622C2#1061871811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
prime radical#10614313C2
hypercenter#2418D5
hypocenterC5#35025
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C5×#2418C2semidirect
2. #10614622C2semidirect
3. #10614592C2semidirect
5. #10614309C2semidirect
6. #10614135C2semidirect
7. C4×D4×Dic5C2semidirect
8. #10613843C2semidirect
9. C2×#65246C2semidirect
10. #10609786C2semidirect
11. #10609753C2semidirect
12. #10609287C2semidirect
13. #10609226C2semidirect
14. #10608718C2semidirect
15. #10608716C2semidirect
16. #10608665C2semidirect
17. #10608632C2semidirect
18. #10607552C2semidirect
19. #10607551C2semidirect
20. #10607352C2semidirect
21. #10607351C2semidirect
22. #10606606C2semidirect
23. #10606600C2semidirect
24. #10606486C2semidirect
25. #10606424C2semidirect
26. #10606183C2semidirect
27. #10606112C2semidirect
28. #10605735C2semidirect
29. #10605633C2semidirect
30. #10605558C2semidirect
31. #10605551C2semidirect
33. C2×C5×#123C22semidirect
43. C2×#4075C22semidirect
48. C22×C4×Dic5C22semidirect
49. C2×#4044C22semidirect
50. C2×#4035C22semidirect
51. C2×#4033C22semidirect
54. C2×#4025C22semidirect
56. C2×#4024C22semidirect
57. C5×#399C22semidirect
58. C5×#397C22semidirect
59. C5×#394C22semidirect
60. C5×#394C22semidirect
61. C5×#388C22semidirect
62. C5×#388C22semidirect
64. C5×#386C22semidirect
72. #65510C22semidirect
73. #65510C22semidirect
75. #65509C22semidirect
76. #65509C22semidirect
77. #65502C22semidirect
82. C4×C22⋊Dic5C22semidirect
83. #65283C22semidirect
84. #65282C22semidirect
85. #65282C22semidirect
86. #65281C22semidirect
87. #65279C22semidirect
88. #65279C22semidirect
89. #65279C22semidirect
90. #65279C22semidirect
91. #65279C22semidirect
92. #65272C22semidirect
93. #65271C22semidirect
94. #65267C22semidirect
95. C4⋊C4×Dic5C22semidirect
96. C4⋊C4×Dic5C22semidirect
97. C4⋊C4×Dic5C22semidirect
98. #65261C22semidirect
99. #65261C22semidirect
106. #65248C22semidirect
107. #65248C22semidirect
108. #65247C22semidirect
109. #65247C22semidirect
122. #65246C22semidirect
123. #65246C22semidirect
127. #65242C22semidirect
128. #65241C22semidirect
129. #65241C22semidirect
130. #65240C22semidirect
131. #65240C22semidirect
132. #65240C22semidirect
133. #65240C22semidirect
134. #65240C22semidirect
136. #65237C22semidirect
137. #65237C22semidirect
138. #65237C22semidirect
139. #65234C22semidirect
140. #65234C22semidirect
141. #65234C22semidirect
142. #65234C22semidirect
143. #65234C22semidirect
144. #65233C22semidirect
145. #65233C22semidirect
146. #65233C22semidirect
147. #65233C22semidirect
148. #65233C22semidirect
152. #65231C22semidirect
157. C22⋊C4×Dic5C22semidirect
158. C22⋊C4×Dic5C22semidirect
159. #65229C22semidirect
160. #65229C22semidirect
161. C4×C4⋊Dic5C22semidirect
162. C42×Dic5C22semidirect
163. #64964C22semidirect
164. #64963C22semidirect
165. #64959C22semidirect
166. #64959C22semidirect
167. #64959C22semidirect
168. #64959C22semidirect
169. #64959C22semidirect
170. #64959C22semidirect
171. #64959C22semidirect
172. #64958C22semidirect
173. #64958C22semidirect
174. #64958C22semidirect
175. #64950C22semidirect
176. #64947C22semidirect
177. #64946C22semidirect
178. #64946C22semidirect
179. #64942C22semidirect
180. #64939C22semidirect
181. #64938C22semidirect
182. #64938C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
391. #2418D5semidirect
611. C2×#123C2×D5semidirect
632. #399C2×D5semidirect
644. #397C2×D5semidirect
657. #394C2×D5semidirect
658. #394C2×D5semidirect
715. #388C2×D5semidirect
716. #388C2×D5semidirect
726. #386C2×D5semidirect
1533. C5#35025semidirect

Maximal subgroups

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

subgroupindex
C5×#24182
#106146222
#106145922
#106143132
#106143092
#106141352
C4×D4×Dic52
#106138432
C2×#652462
#106097862
#106097532
#106092872
#106092262
#106087182
#106087162
#106086652
#106086322
#106075522
#106075512
#106073522
#106073512
#106066062
#106066002
#106064862
#106064242
#106061832
#106061122
#106057352
#106056332
#106055582
#106055512
#350255