Finite Group Databasebeta

← #12308169

Subgroups — #12308169

Order 1280.

2158 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2715C211yesmaximal, characteristic, complemented
2#10614846C211yesmaximal, characteristic, complemented
3#10614812C211yesmaximal, characteristic, complemented
4#10614718C211yesmaximal, characteristic, complemented
5#10614691C211yesmaximal, characteristic, complemented
6#10609451C211yesmaximal, characteristic, complemented
7#10609416C211yesmaximal, characteristic, complemented
8#10609339C211yesmaximal, characteristic, complemented
9#10609205C211yesmaximal, characteristic, complemented
10#10609170C211yesmaximal, characteristic, complemented
11#10609157C211yesmaximal, characteristic, complemented
12#10609155C211yesmaximal, characteristic, complemented
13#10609034C211yesmaximal, characteristic, complemented
14#10608998C211yesmaximal, characteristic, complemented
15#10608985C211yesmaximal, characteristic, complemented
16#10608805C211yesmaximal, characteristic, complemented
17#10608626C211yesmaximal, characteristic
18#10608382C211yesmaximal, characteristic, complemented
19#10608343C211yesmaximal, characteristic, complemented
20#10607975C211yesmaximal, characteristic, complemented
21#10607844C211yesmaximal, characteristic, complemented
22#10607668C211yesmaximal, characteristic, complemented
23#10607258C211yesmaximal, characteristic, complemented
24#10607156C211yesmaximal, characteristic, complemented
25#10606676C211yesmaximal, characteristic, complemented
26D5×#386C211yesmaximal, characteristic, complemented
27#10606559C211yesmaximal, characteristic, complemented
28#10606387C211yesmaximal, characteristic, complemented
29#10606268C211yesmaximal, characteristic, complemented
30#10605780C211yesmaximal, characteristic, complemented
31#10605768C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C2×C5×#126C2211yescharacteristic, complemented
35C2×C5×#124C2211yescharacteristic
36C2×#4093C2211yescharacteristic
37C2×#4092C2211yescharacteristic
38C2×#4070C2211yescharacteristic, complemented
39C2×#4044C2211yescharacteristic, complemented
40C2×#4043C2211yescharacteristic
41C2×#4043C2211yescharacteristic, complemented
42C2×#4042C2211yescharacteristic
43C2×#4040C2211yescharacteristic, complemented
44C2×#4040C2211yescharacteristic, complemented
45C2×#4039C2211yescharacteristic
46C2×#4031C2211yescharacteristic, complemented
47C2×#4031C2211yescharacteristic, complemented
48C2×#4030C2211yescharacteristic
49C2×#4030C2211yescharacteristic
50C2×#4028C2211yescharacteristic
51C2×#4028C2211yescharacteristic
52C2×D5×C22⋊C4C2211yescharacteristic
53C2×D5×C22⋊C4C2211yescharacteristic
54C2×D5×C22⋊C4C2211yescharacteristic
55C5×#397C2211yescharacteristic, complemented
56C5×#397C2211yescharacteristic, complemented
57C5×#396C2211yescharacteristic, complemented
58C5×#396C2211yescharacteristic, complemented
59C5×#395C2211yescharacteristic, complemented
60C5×#394C2211yescharacteristic
61C5×#391C2211yescharacteristic, complemented
62C5×#389C2211yescharacteristic, complemented
63C5×#388C2211yescharacteristic, complemented
64C5×#387C2211yescharacteristic, complemented
65C5×#386C2211yescharacteristic
66C5×#385C2211yescharacteristic, complemented
67C5×#380C2211yescharacteristic, complemented
68#65520C2211yescharacteristic, complemented
69#65519C2211yescharacteristic, complemented
70#65512C2211yescharacteristic
71#65510C2211yescharacteristic
72#65509C2211yescharacteristic
73#65502C2211yescharacteristic
74#65502C2211yescharacteristic, complemented
75#65283C2211yescharacteristic, complemented
76#65283C2211yescharacteristic, complemented
77#65283C2211yescharacteristic, complemented
78#65282C2211yescharacteristic, complemented
79#65282C2211yescharacteristic, complemented
80#65281C2211yescharacteristic, complemented
81#65280C2211yescharacteristic
82#65280C2211yescharacteristic, complemented
83#65280C2211yescharacteristic, complemented
84#65279C2211yescharacteristic, complemented
85#65279C2211yescharacteristic, complemented
86#65278C2211yescharacteristic
87#65278C2211yescharacteristic
88#65278C2211yescharacteristic
89#65278C2211yescharacteristic
90#65278C2211yescharacteristic, complemented
91#65278C2211yescharacteristic, complemented
92#65277C2211yescharacteristic, complemented
93#65276C2211yescharacteristic
94#65276C2211yescharacteristic
95#65276C2211yescharacteristic, complemented
96#65276C2211yescharacteristic, complemented
97#65275C2211yescharacteristic, complemented
98#65273C2211yescharacteristic, complemented
99#65272C2211yescharacteristic, complemented
100#65270C2211yescharacteristic, complemented
101#65268C2211yescharacteristic, complemented
102#65268C2211yescharacteristic, complemented
103#65261C2211yescharacteristic, complemented
104#65250C2211yescharacteristic, complemented
105#65250C2211yescharacteristic, complemented
106#65248C2211yescharacteristic
107#65248C2211yescharacteristic
108#65248C2211yescharacteristic
109#65248C2211yescharacteristic
110#65248C2211yescharacteristic, complemented
111#65248C2211yescharacteristic, complemented
112#65247C2211yescharacteristic
113#65247C2211yescharacteristic, complemented
114#65246C2211yescharacteristic
115#65246C2211yescharacteristic
116#65245C2211yescharacteristic
117#65245C2211yescharacteristic
118#65244C2211yescharacteristic
119#65244C2211yescharacteristic
120#65244C2211yescharacteristic
121#65244C2211yescharacteristic
122#65244C2211yescharacteristic
123#65244C2211yescharacteristic
124#65242C2211yescharacteristic, complemented
125#65242C2211yescharacteristic, complemented
126#65241C2211yescharacteristic, complemented
127#65241C2211yescharacteristic, complemented
128#65241C2211yescharacteristic, complemented
129#65240C2211yescharacteristic, complemented
130#65239C2211yescharacteristic, complemented
131#65239C2211yescharacteristic, complemented
132#65238C2211yescharacteristic, complemented
133#65237C2211yescharacteristic, complemented
134#65236C2211yescharacteristic, complemented
135#65235C2211yescharacteristic, complemented
136#65234C2211yescharacteristic, complemented
137#65234C2211yescharacteristic, complemented
138#65233C2211yescharacteristic, complemented
139#65229C2211yescharacteristic, complemented
140#65229C2211yescharacteristic, complemented
141#65228C2211yescharacteristic
142#65228C2211yescharacteristic, complemented
143C4×#685C2211yescharacteristic
144C4×#685C2211yescharacteristic
145#65222C2211yescharacteristic, complemented
146#65218C2211yescharacteristic, complemented
147#64966C2211yescharacteristic, complemented
148#64964C2211yescharacteristic, complemented
149#64964C2211yescharacteristic, complemented
150#64963C2211yescharacteristic, complemented
151#64962C2211yescharacteristic, complemented
152#64962C2211yescharacteristic, complemented
153#64962C2211yescharacteristic, complemented
154#64961C2211yescharacteristic, complemented
155#64961C2211yescharacteristic, complemented
156#64960C2211yescharacteristic
157#64959C2211yescharacteristic, complemented
158#64958C2211yescharacteristic, complemented
159#64958C2211yescharacteristic, complemented
160#64957C2211yescharacteristic
161#64957C2211yescharacteristic
162#64957C2211yescharacteristic, complemented
163#64957C2211yescharacteristic, complemented
164#64956C2211yescharacteristic
165#64955C2211yescharacteristic
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64953C2211yescharacteristic, complemented
173#64953C2211yescharacteristic, complemented
174#64953C2211yescharacteristic, complemented
175D5×#95C2211yescharacteristic
176D5×#95C2211yescharacteristic
177#64943C2211yescharacteristic, complemented
178#64943C2211yescharacteristic, complemented
179#64943C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64940C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36793—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×Q8C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C2×D4×D5—24no—
199C2×D4×D5—42no—
200C2×D4×D5—42no—
201C22×D20C2311yescharacteristic
202C22×D20C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×D20C2311yescharacteristic
205C22×C4×D5—42no—
206C22×C4×D5—42no—
207C22×C4×D5—42no—
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×C4×D5C2311yescharacteristic
215C22×C4×D5C2311yescharacteristic
216C22×Dic10C2311yescharacteristic
217C22×Dic10C2311yescharacteristic
218C5×#126—42no—
219C5×#124—42no—
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C42×C5C2311yescharacteristic
241C2×C42×C5C2311yescharacteristic
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
251#4093—42no—
252#4092—24no—
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
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
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296#4070—42no—
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×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314#4044—42no—
315#4043—42no—
316#4043—42no—
317#4042—42no—
318#4040—42no—
319#4040—42no—
320#4039—24no—
321#4031—42no—
322#4031—42no—
323#4030—42no—
324#4030—42no—
325#4028—42no—
326#4028—42no—
327D5×C22⋊C4—42no—
328D5×C22⋊C4—42no—
329D5×C22⋊C4—42no—
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
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#2848—51no—
372#2796—51no—
373#2761—51no—
374#2757—51no—
375#2751—51no—
376#2737—51no—
377#2730—51no—
378#2723—51no—
379#2715D511yescharacteristic, complemented
380#2712—51no—
381#2710—51no—
382#2705—51no—
383#2701—51no—
384#2700—51no—
385#2691—51no—
386#2686—51no—
387#2672—51no—
388#2626—51no—
389#2622—51no—
390#2564—51no—
391#2549—51no—
392#2480—51no—
393#2480—51no—
394#2472—51no—
395#2472—51no—
396#2435—51no—
397#2408—51no—
398#2329—51no—
399#2318—51no—
400C2×#386—51no—
401C24×C5C2411yescharacteristic
402C24×C5C2411yescharacteristic
403C23×D5—22no—
404C23×D5—22no—
405C23×D5—22no—
406C23×D5—22no—
407C23×D5—22no—
408C23×D5—22no—
409C23×D5—22no—
410C23×D5—22no—
411C23×D5—41no—
412C23×D5—41no—
413C23×D5—41no—
414C23×D5—41no—
415C23×D5—41no—
416C23×D5—41no—
417C23×D5C2411yescharacteristic
418C23×D5C2411yescharacteristic
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C2×C5×Q8—22no—
422C2×C5×Q8—41no—
423C2×C5×Q8—41no—
424C2×C5×D4—22no—
425C2×C5×D4—22no—
426C2×C5×D4—41no—
427C22×C4×C5—22no—
428C22×C4×C5—41no—
429C22×C4×C5—41no—
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C2×C22⋊D5—22no—
444C2×C22⋊D5—22no—
445C2×C22⋊D5—22no—
446C2×C22⋊D5—22no—
447C2×C22⋊D5—22no—
448C2×C22⋊D5—41no—
449C2×C22⋊D5—41no—
450C2×C22⋊D5—41no—
451C2×C22⋊D5—41no—
452C2×C22⋊D5—41no—
453C2×C22⋊D5—41no—
454C2×C22⋊D5—41no—
455C22×Dic5—41no—
456C22×Dic5—41no—
457C22×Dic5—41no—
458C22×Dic5C2411yescharacteristic
459C22×Dic5C2411yescharacteristic
460C22×Dic5C2411yescharacteristic
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C22×Dic5C2411yescharacteristic
464C22×Dic5C2411yescharacteristic
465C22×Dic5C2411yescharacteristic
466C22×Dic5C2411yescharacteristic
467C22×Dic5C2411yescharacteristic
468C22×Dic5C2411yescharacteristic
469C22×Dic5C2411yescharacteristic
470D4×D5—416no—
471C2×D20—22no—
472C2×D20—22no—
473C2×D20—22no—
474C2×D20—22no—
475C2×D20—22no—
476C2×D20—22no—
477C2×D20—41no—
478C2×D20—41no—
479C2×D20—41no—
480C2×D20—41no—
481C2×D20—41no—
482C2×D20—41no—
483C2×C4×D5—22no—
484C2×C4×D5—22no—
485C2×C4×D5—22no—
486C2×C4×D5—22no—
487C2×C4×D5—22no—
488C2×C4×D5—22no—
489C2×C4×D5—22no—
490C2×C4×D5—22no—
491C2×C4×D5—22no—
492C2×C4×D5—41no—
493C2×C4×D5—41no—
494C2×C4×D5—41no—
495C2×C4×D5—41no—
496C2×C4×D5—41no—
497C2×C4×D5—41no—
498C2×C4×D5—41no—
499C2×C4×D5—41no—
500C2×C4×D5—416no—
501C2×C4×D5—41no—
502C2×C4×D5—41no—
503C2×C4×D5—41no—
504C2×C4×D5—41no—
505C2×C4×D5—41no—
506C2×C4×D5—41no—
507C2×C4×D5#4114yes—
508C2×Dic10—22no—
509C2×Dic10—41no—
510C2×Dic10—41no—
511C2×Dic10—41no—
512C2×Dic10—41no—
513C2×Dic10—41no—
514C5×C4⋊C4—22no—
515C5×C4⋊C4—22no—
516C5×C4⋊C4—41no—
517C5×C4⋊C4—41no—
518C5×C4⋊C4—41no—
519C5×C4⋊C4—41no—
520C5×C4⋊C4—41no—
521C5×C4⋊C4—41no—
522C5×C4⋊C4—41no—
523C5×C22⋊C4—22no—
524C5×C22⋊C4—22no—
525C5×C22⋊C4—22no—
526C5×C22⋊C4—22no—
527C5×C22⋊C4—22no—
528C5×C22⋊C4—41no—
529C5×C22⋊C4—41no—
530C5×C22⋊C4—41no—
531C5×C22⋊C4—41no—
532C5×C22⋊C4—41no—
533C5×C22⋊C4—41no—
534C42×C5—41no—
535C42×C5—41no—
536C22⋊Dic5—22no—
537C22⋊Dic5—41no—
538C22⋊Dic5—41no—
539C22⋊Dic5—41no—
540C22⋊Dic5—41no—
541C22⋊Dic5—41no—
542C22⋊Dic5—41no—
543C22⋊Dic5—41no—
544C22⋊Dic5—41no—
545#685—22no—
546#685—22no—
547#685—22no—
548#685—22no—
549#685—22no—
550#685—22no—
551#685—22no—
552#685—22no—
553#685—22no—
554#685—22no—
555#685—22no—
556#685—22no—
557#685—22no—
558#685—41no—
559#685—41no—
560#685—41no—
561#685—41no—
562#685—41no—
563#685—41no—
564#685—41no—
565#685—41no—
566#685—41no—
567#685—41no—
568#685—41no—
569#685—41no—
570#685—41no—
571#685—41no—
572#685—41no—
573#685—41no—
574#685—41no—
575#685—41no—
576#685—41no—
577#685—41no—
578#685—41no—
579#685—41no—
580#685—41no—
581C4⋊Dic5—22no—
582C4⋊Dic5—22no—
583C4⋊Dic5—41no—
584C4⋊Dic5—41no—
585C4⋊Dic5—41no—
586C4⋊Dic5—41no—
587C4⋊Dic5—41no—
588#683—22no—
589#683—22no—
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—
600C4×Dic5—22no—
601C4×Dic5—41no—
602C4×Dic5—41no—
603C4×Dic5—41no—
604C4×Dic5—41no—
605C23×D4—51no—
606C24×C4—51no—
607C2×#126—51no—
608C2×#126C2×D511yescharacteristic, complemented
609C2×#124—51no—
610C2×#124—51no—
611C2×#124—51no—
612C2×#124C2×D511yescharacteristic
613C2×#123—51no—
614C2×#123—51no—
615C2×C22⋊Q8—51no—
616C2×C22⋊Q8—51no—
617C2×C22⋊Q8—51no—
618C2×C22⋊Q8—51no—
619C2×C22⋊Q8—51no—
620C2×#121—51no—
621C2×#121—51no—
622C2×#120—51no—
623C2×#120—51no—
624C2×C4×D4—51no—
625C22×C22⋊C4—51no—
626C22×C22⋊C4—51no—
627C22×C22⋊C4—51no—
628#400—51no—
629#399—51no—
630#399—51no—
631#399—51no—
632#398—51no—
633#398—51no—
634#397—51no—
635#397—51no—
636#397—51no—
637#397—51no—
638#397—51no—
639#397—51no—
640#397—51no—
641#397—51no—
642#397—51no—
643#397—51no—
644#397C2×D511yescharacteristic, complemented
645#397C2×D511yescharacteristic, complemented
646#396—51no—
647#396—51no—
648#396—51no—
649#396—51no—
650#396C2×D511yescharacteristic, complemented
651#396C2×D511yescharacteristic, complemented
652#395—51no—
653#395—51no—
654#395C2×D511yescharacteristic, complemented
655#394—51no—
656#394—51no—
657#394—51no—
658#394—51no—
659#394—51no—
660#394—51no—
661#394—51no—
662#394—51no—
663#394—51no—
664#394—51no—
665#394—51no—
666#394—51no—
667#394—51no—
668#394C2×D511yescharacteristic
669#393—51no—
670#393—51no—
671#393—51no—
672#393—51no—
673#393—51no—
674#392—51no—
675#392—51no—
676#391—51no—
677#391—51no—
678#391—51no—
679#391C2×D511yescharacteristic, complemented
680#390—51no—
681#390—51no—
682#390—51no—
683#390—51no—
684#390—51no—
685#390—51no—
686#389—51no—
687#389—51no—
688#389—51no—
689#389C2×D511yescharacteristic, complemented
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#388C2×D511yescharacteristic, complemented
702#387—51no—
703#387—51no—
704#387—51no—
705#387—51no—
706#387—51no—
707#387—51no—
708#387—51no—
709#387C2×D511yescharacteristic, complemented
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#386C2×D511yescharacteristic
724#385—51no—
725#385—51no—
726#385—51no—
727#385—51no—
728#385—51no—
729#385—51no—
730#385—51no—
731#385—51no—
732#385—51no—
733#385—51no—
734#385—51no—
735#385—51no—
736#385—51no—
737#385C2×D511yescharacteristic, complemented
738#383—51no—
739#382—51no—
740#381—51no—
741#381—51no—
742#381—51no—
743#380—51no—
744#380—51no—
745#380—51no—
746#380—51no—
747#380—51no—
748#380C2×D511yescharacteristic, complemented
749#379—51no—
750#379—51no—
751#379—51no—
752#379—51no—
753#379—51no—
754#379—51no—
755C4×C22⋊C4—51no—
756C4×C22⋊C4—51no—
757C4×C22⋊C4—51no—
758C2×#95—51no—
759C2×#95—51no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—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×C5H(5,𝔽2)12yes—
774C23×C5C2511yescharacteristic
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—28no—
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—21no—
789C22×D5—21no—
790C22×D5—21no—
791C22×D5—21no—
792C22×D5—21no—
793C22×D5—21no—
794C22×D5—21no—
795C22×D5—21no—
796C22×D5—21no—
797C22×D5—21no—
798C22×D5—21no—
799C22×D5—21no—
800C22×D5—44no—
801C22×D5—44no—
802C22×D5—44no—
803C22×D5—44no—
804C22×D5—44no—
805C22×D5—44no—
806C22×D5—44no—
807C22×D5—44no—
808C22×D5—44no—
809C22×D5—82no—
810C22×D5—82no—
811C22×D5—82no—
812C22×D5—82no—
813C22×D5C2×#4112yes—
814C22×D5H(5,𝔽2)12yes—
815C22×D5H(5,𝔽2)12yes—
816C22×D52−1+412yes—
817C5×Q8—82no—
818C5×D4—44no—
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—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—44no—
857C2×C4×C5C2×#4112yes—
858C2×C4×C5H(5,𝔽2)12yes—
859C22⋊D5—44no—
860C22⋊D5—44no—
861C22⋊D5—82no—
862C22⋊D5—82no—
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×Dic5C2×#4112yes—
900D20—44no—
901D20—44no—
902D20—82no—
903D20—82no—
904C4×D5—44no—
905C4×D5—44no—
906C4×D5—44no—
907C4×D5—44no—
908C4×D5—44no—
909C4×D5—82no—
910C4×D5—82no—
911C4×D5—82no—
912Dic10—82no—
913Dic10—82no—
914C25—51no—
915C25—51no—
916C22×Q8—51no—
917C22×Q8—51no—
918C22×Q8C22×D511yescharacteristic
919C22×D4—51no—
920C22×D4—51no—
921C22×D4—51no—
922C22×D4—51no—
923C22×D4—51no—
924C22×D4—51no—
925C22×D4—51no—
926C22×D4—51no—
927C22×D4—104no—
928C22×D4—202no—
929C22×D4—202no—
930C22×D4C22×D511yescharacteristic
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
944#126—42no—
945#126—202no—
946#124—42no—
947#124—202no—
948#124—202no—
949#124—202no—
950#123—202no—
951#123—202no—
952C22⋊Q8—104no—
953C22⋊Q8—202no—
954C22⋊Q8—202no—
955C22⋊Q8—202no—
956C22⋊Q8—202no—
957#121—202no—
958#121—202no—
959#120—202no—
960#120—202no—
961C4×D4—104no—
962C2×C4⋊C4—51no—
963C2×C4⋊C4—51no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—51no—
970C2×C4⋊C4—51no—
971C2×C4⋊C4—51no—
972C2×C4⋊C4—51no—
973C2×C4⋊C4—51no—
974C2×C4⋊C4—51no—
975C2×C4⋊C4—51no—
976C2×C4⋊C4—51no—
977C2×C4⋊C4—51no—
978C2×C4⋊C4—51no—
979C2×C4⋊C4—51no—
980C2×C4⋊C4—51no—
981C2×C4⋊C4C22×D511yescharacteristic
982C2×C4⋊C4C22×D511yescharacteristic
983C2×C4⋊C4C22×D511yescharacteristic
984C2×C4⋊C4C22×D511yescharacteristic
985C2×C4⋊C4C22×D511yescharacteristic
986C2×C4⋊C4C22×D511yescharacteristic
987C2×C4⋊C4C22×D511yescharacteristic
988C2×C4⋊C4C22×D511yescharacteristic
989C2×C4⋊C4C22×D511yescharacteristic
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4—51no—
1018C2×C22⋊C4—51no—
1019C2×C22⋊C4—51no—
1020C2×C22⋊C4—51no—
1021C2×C22⋊C4—51no—
1022C2×C22⋊C4—51no—
1023C2×C22⋊C4—51no—
1024C2×C22⋊C4—51no—
1025C2×C22⋊C4—51no—
1026C2×C22⋊C4—51no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—202no—
1036C2×C22⋊C4—202no—
1037C2×C22⋊C4—202no—
1038C2×C22⋊C4C22×D511yescharacteristic
1039C2×C22⋊C4C22×D511yescharacteristic
1040C2×C22⋊C4C22×D511yescharacteristic
1041C2×C22⋊C4C22×D511yescharacteristic
1042C2×C22⋊C4C22×D511yescharacteristic
1043C2×C22⋊C4C22×D511yescharacteristic
1044C2×C22⋊C4C22×D511yescharacteristic
1045C2×C22⋊C4C22×D511yescharacteristic
1046C2×C22⋊C4C22×D511yescharacteristic
1047C2×C22⋊C4C22×D511yescharacteristic
1048C2×C22⋊C4C22×D511yescharacteristic
1049C2×C42—51no—
1050C2×C42—51no—
1051C2×C42—51no—
1052C2×C42—51no—
1053C2×C42—51no—
1054C2×C42C22×D511yescharacteristic
1055C2×C42C22×D511yescharacteristic
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#95C22×D511yescharacteristic
1087#95C22×D511yescharacteristic
1088#95C22×D511yescharacteristic
1089#95C22×D511yescharacteristic
1090#95C22×D511yescharacteristic
1091#95C22×D511yescharacteristic
1092#95C22×D511yescharacteristic
1093#95C22×D511yescharacteristic
1094#95C22×D511yescharacteristic
1095#95C22×D511yescharacteristic
1096C22×C5—22no—
1097C22×C5—22no—
1098C22×C5—22no—
1099C22×C5—41no—
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×C5C22×#4111yescharacteristic
1111C22×C5C2×H(5,𝔽2)11yescharacteristic
1112C22×C5C2×H(5,𝔽2)11yescharacteristic
1113C22×C5C2×H(5,𝔽2)11yescharacteristic
1114C22×C5C2×H(5,𝔽2)11yescharacteristic
1115C22×C5C2×2−1+411yescharacteristic
1116C22×C5#58511yescharacteristic
1117C2×D5—22no—
1118C2×D5—22no—
1119C2×D5—22no—
1120C2×D5—22no—
1121C2×D5—22no—
1122C2×D5—22no—
1123C2×D5—22no—
1124C2×D5—22no—
1125C2×D5—22no—
1126C2×D5—416no—
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—41no—
1142C2×D5—41no—
1143C2×D5—41no—
1144C2×D5—41no—
1145C2×D5—88no—
1146C2×D5#54214yes—
1147C4×C5—22no—
1148C4×C5—22no—
1149C4×C5—41no—
1150C4×C5—41no—
1151C4×C5—41no—
1152C4×C5—41no—
1153C4×C5—41no—
1154C4×C5—41no—
1155C4×C5—41no—
1156C4×C5—41no—
1157C4×C5—41no—
1158C4×C5—41no—
1159C4×C5—41no—
1160Dic5—22no—
1161Dic5—41no—
1162Dic5—41no—
1163Dic5—41no—
1164Dic5—41no—
1165Dic5—41no—
1166Dic5—41no—
1167Dic5—41no—
1168Dic5—41no—
1169Dic5—41no—
1170Dic5—41no—
1171Dic5—41no—
1172C24—51no—
1173C24—51no—
1174C24—51no—
1175C24—51no—
1176C24—102no—
1177C24—102no—
1178C24—102no—
1179C24—102no—
1180C24—102no—
1181C24—102no—
1182C24—102no—
1183C24—102no—
1184C24—201no—
1185C24—201no—
1186C24—201no—
1187C24—201no—
1188C24—201no—
1189C24—201no—
1190C24C23×D511yescharacteristic
1191C24C23×D511yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—102no—
1196C2×Q8—201no—
1197C2×Q8—201no—
1198C2×Q8—201no—
1199C2×Q8—201no—
1200C2×Q8—201no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—41no—
1204C2×D4—102no—
1205C2×D4—102no—
1206C2×D4—102no—
1207C2×D4—102no—
1208C2×D4—102no—
1209C2×D4—102no—
1210C2×D4—102no—
1211C2×D4—102no—
1212C2×D4—102no—
1213C2×D4—102no—
1214C2×D4—102no—
1215C2×D4—201no—
1216C2×D4—201no—
1217C2×D4—201no—
1218C2×D4—201no—
1219C2×D4—201no—
1220C2×D4—201no—
1221C2×D4—201no—
1222C2×D4—201no—
1223C2×D4—201no—
1224C2×D4—201no—
1225C2×D4—201no—
1226C2×D4—201no—
1227C2×D4—201no—
1228C2×D4—2016no—
1229C22×C4—22no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—51no—
1233C22×C4—54no—
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—51no—
1244C22×C4—51no—
1245C22×C4—102no—
1246C22×C4—102no—
1247C22×C4—102no—
1248C22×C4—102no—
1249C22×C4—102no—
1250C22×C4—102no—
1251C22×C4—102no—
1252C22×C4—102no—
1253C22×C4—102no—
1254C22×C4—201no—
1255C22×C4—201no—
1256C22×C4—201no—
1257C22×C4—201no—
1258C22×C4—201no—
1259C22×C4—201no—
1260C22×C4—201no—
1261C22×C4—201no—
1262C22×C4—201no—
1263C22×C4—201no—
1264C22×C4—201no—
1265C22×C4—201no—
1266C22×C4—201no—
1267C22×C4—201no—
1268C22×C4—2016no—
1269C22×C4—201no—
1270C22×C4—201no—
1271C22×C4—201no—
1272C22×C4C23×D511yescharacteristic
1273C22×C4C23×D511yescharacteristic
1274C22×C4C23×D511yescharacteristic
1275C22×C4C23×D511yescharacteristic
1276C22×C4C23×D511yescharacteristic
1277C22×C4C23×D511yescharacteristic
1278C22×C4C23×D511yescharacteristic
1279C22×C4C23×D511yescharacteristic
1280C22×C4C23×D511yescharacteristic
1281C22×C4C23×D511yescharacteristic
1282C22×C4C23×D511yescharacteristic
1283C22×C4C23×D511yescharacteristic
1284C22×C4C23×D511yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
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—201no—
1299C4⋊C4—201no—
1300C4⋊C4—201no—
1301C4⋊C4—201no—
1302C4⋊C4—201no—
1303C4⋊C4—201no—
1304C4⋊C4—201no—
1305C4⋊C4—201no—
1306C4⋊C4—201no—
1307C4⋊C4—201no—
1308C4⋊C4—201no—
1309C4⋊C4—201no—
1310C4⋊C4—201no—
1311C4⋊C4—201no—
1312C4⋊C4—201no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—102no—
1325C22⋊C4—102no—
1326C22⋊C4—102no—
1327C22⋊C4—102no—
1328C22⋊C4—102no—
1329C22⋊C4—102no—
1330C22⋊C4—102no—
1331C22⋊C4—102no—
1332C22⋊C4—102no—
1333C22⋊C4—102no—
1334C22⋊C4—102no—
1335C22⋊C4—102no—
1336C22⋊C4—102no—
1337C22⋊C4—102no—
1338C22⋊C4—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—
1353C22⋊C4—201no—
1354C22⋊C4—201no—
1355C22⋊C4—201no—
1356C22⋊C4—201no—
1357C22⋊C4—201no—
1358C22⋊C4—201no—
1359C22⋊C4—201no—
1360C22⋊C4—201no—
1361C22⋊C4—201no—
1362C22⋊C4—201no—
1363C22⋊C4—201no—
1364C22⋊C4—201no—
1365C22⋊C4—201no—
1366C22⋊C4—201no—
1367C22⋊C4—201no—
1368C22⋊C4—201no—
1369C42—41no—
1370C42—41no—
1371C42—102no—
1372C42—201no—
1373C42—201no—
1374C42—201no—
1375C42—201no—
1376C2×C5—42no—
1377C2×C5—81no—
1378C2×C5C2×#54211yescharacteristic
1379C2×C5#349011yescharacteristic
1380C2×C5#350611yescharacteristic
1381C2×C5#353211yescharacteristic
1382C2×C5#353411yescharacteristic
1383C2×C5#353511yescharacteristic
1384C2×C5#353611yescharacteristic
1385D5—24no—
1386D5—42no—
1387D5—81no—
1388D5—81no—
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—52no—
1403C23—52no—
1404C23—52no—
1405C23—52no—
1406C23—108no—
1407C23—101no—
1408C23—101no—
1409C23—101no—
1410C23—101no—
1411C23—101no—
1412C23—101no—
1413C23—101no—
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—101no—
1429C23—101no—
1430C23—101no—
1431C23—204no—
1432C23—204no—
1433C23—204no—
1434C23—204no—
1435C23—204no—
1436C23—204no—
1437C23—204no—
1438C23—204no—
1439C23—204no—
1440C23—402no—
1441C23—402no—
1442C23—402no—
1443C23—402no—
1444C23#414412yes—
1445C23C24×D511yescharacteristic
1446Q8—82no—
1447Q8—402no—
1448Q8—402no—
1449D4—44no—
1450D4—204no—
1451D4—204no—
1452D4—204no—
1453D4—204no—
1454D4—402no—
1455D4—402no—
1456D4—402no—
1457D4—402no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—52no—
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—101no—
1530C2×C4—101no—
1531C2×C4—101no—
1532C2×C4—204no—
1533C2×C4—204no—
1534C2×C4—204no—
1535C2×C4—204no—
1536C2×C4—204no—
1537C2×C4—204no—
1538C2×C4—402no—
1539C2×C4—402no—
1540C2×C4—402no—
1541C2×C4D5×#4112yes—
1542C2×C4#414912yes—
1543C5#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—54no—
1559C22—102no—
1560C22—102no—
1561C22—102no—
1562C22—102no—
1563C22—102no—
1564C22—102no—
1565C22—102no—
1566C22—102no—
1567C22—102no—
1568C22—2016no—
1569C22—201no—
1570C22—201no—
1571C22—201no—
1572C22—201no—
1573C22—201no—
1574C22—201no—
1575C22—201no—
1576C22—201no—
1577C22—201no—
1578C22—201no—
1579C22—201no—
1580C22—201no—
1581C22—201no—
1582C22—201no—
1583C22—201no—
1584C22—201no—
1585C22—201no—
1586C22—201no—
1587C22—408no—
1588C22C2×#414411yescharacteristic
1589C22C2×D5×#4111yescharacteristic
1590C22C2×#414911yescharacteristic
1591C22D5×H(5,𝔽2)11yescharacteristic
1592C22D5×H(5,𝔽2)11yescharacteristic
1593C22D5×2−1+411yescharacteristic
1594C22#6628711yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—102no—
1609C4—201no—
1610C4—201no—
1611C4—201no—
1612C4—201no—
1613C4—201no—
1614C4—201no—
1615C4—201no—
1616C4—201no—
1617C4—201no—
1618C4—201no—
1619C4—201no—
1620C2—42no—
1621C2—81no—
1622C2—104no—
1623C2—202no—
1624C2—401no—
1625C2—401no—
1626C2#1061828411yescharacteristic
1627C2#1061831911yescharacteristic
1628C2D5×#54211yescharacteristic
1629C2#1061856511yescharacteristic
1630C2#1061860611yescharacteristic
1631C2#1061890611yescharacteristic
1632C2#1061903011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2715C2
prime radical#10608626C2
hypercenter#2715D5
hypocenterC5#36793
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
1. C5×#2715C2semidirect
2. #10614846C2semidirect
3. #10614812C2semidirect
4. #10614718C2semidirect
5. #10614691C2semidirect
6. #10609451C2semidirect
7. #10609416C2semidirect
8. #10609339C2semidirect
9. #10609205C2semidirect
10. #10609170C2semidirect
11. #10609157C2semidirect
12. #10609155C2semidirect
13. #10609034C2semidirect
14. #10608998C2semidirect
15. #10608985C2semidirect
16. #10608805C2semidirect
18. #10608382C2semidirect
19. #10608343C2semidirect
20. #10607975C2semidirect
21. #10607844C2semidirect
22. #10607668C2semidirect
23. #10607258C2semidirect
24. #10607156C2semidirect
25. #10606676C2semidirect
26. D5×#386C2semidirect
27. #10606559C2semidirect
28. #10606387C2semidirect
29. #10606268C2semidirect
30. #10605780C2semidirect
31. #10605768C2semidirect
34. C2×C5×#126C22semidirect
38. C2×#4070C22semidirect
39. C2×#4044C22semidirect
41. C2×#4043C22semidirect
43. C2×#4040C22semidirect
44. C2×#4040C22semidirect
46. C2×#4031C22semidirect
47. C2×#4031C22semidirect
55. C5×#397C22semidirect
56. C5×#397C22semidirect
57. C5×#396C22semidirect
58. C5×#396C22semidirect
59. C5×#395C22semidirect
61. C5×#391C22semidirect
62. C5×#389C22semidirect
63. C5×#388C22semidirect
64. C5×#387C22semidirect
66. C5×#385C22semidirect
67. C5×#380C22semidirect
68. #65520C22semidirect
69. #65519C22semidirect
74. #65502C22semidirect
75. #65283C22semidirect
76. #65283C22semidirect
77. #65283C22semidirect
78. #65282C22semidirect
79. #65282C22semidirect
80. #65281C22semidirect
82. #65280C22semidirect
83. #65280C22semidirect
84. #65279C22semidirect
85. #65279C22semidirect
90. #65278C22semidirect
91. #65278C22semidirect
92. #65277C22semidirect
95. #65276C22semidirect
96. #65276C22semidirect
97. #65275C22semidirect
98. #65273C22semidirect
99. #65272C22semidirect
100. #65270C22semidirect
101. #65268C22semidirect
102. #65268C22semidirect
103. #65261C22semidirect
104. #65250C22semidirect
105. #65250C22semidirect
110. #65248C22semidirect
111. #65248C22semidirect
113. #65247C22semidirect
124. #65242C22semidirect
125. #65242C22semidirect
126. #65241C22semidirect
127. #65241C22semidirect
128. #65241C22semidirect
129. #65240C22semidirect
130. #65239C22semidirect
131. #65239C22semidirect
132. #65238C22semidirect
133. #65237C22semidirect
134. #65236C22semidirect
135. #65235C22semidirect
136. #65234C22semidirect
137. #65234C22semidirect
138. #65233C22semidirect
139. #65229C22semidirect
140. #65229C22semidirect
142. #65228C22semidirect
145. #65222C22semidirect
146. #65218C22semidirect
147. #64966C22semidirect
148. #64964C22semidirect
149. #64964C22semidirect
150. #64963C22semidirect
151. #64962C22semidirect
152. #64962C22semidirect
153. #64962C22semidirect
154. #64961C22semidirect
155. #64961C22semidirect
157. #64959C22semidirect
158. #64958C22semidirect
159. #64958C22semidirect
162. #64957C22semidirect
163. #64957C22semidirect
172. #64953C22semidirect
173. #64953C22semidirect
174. #64953C22semidirect
177. #64943C22semidirect
178. #64943C22semidirect
179. #64943C22semidirect
180. #64942C22semidirect
181. #64941C22semidirect
182. #64940C22semidirect
183. #64939C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
379. #2715D5semidirect
608. C2×#126C2×D5semidirect
644. #397C2×D5semidirect
645. #397C2×D5semidirect
650. #396C2×D5semidirect
651. #396C2×D5semidirect
654. #395C2×D5semidirect
679. #391C2×D5semidirect
689. #389C2×D5semidirect
701. #388C2×D5semidirect
709. #387C2×D5semidirect
737. #385C2×D5semidirect
748. #380C2×D5semidirect
1543. C5#36793semidirect

Maximal subgroups

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

subgroupindex
C5×#27152
#106148462
#106148122
#106147182
#106146912
#106094512
#106094162
#106093392
#106092052
#106091702
#106091572
#106091552
#106090342
#106089982
#106089852
#106088052
#106086262
#106083822
#106083432
#106079752
#106078442
#106076682
#106072582
#106071562
#106066762
D5×#3862
#106065592
#106063872
#106062682
#106057802
#106057682
#367935