Finite Group Databasebeta

← #13007984

Subgroups — #13007984

Order 1280.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3485C211yesmaximal, characteristic, complemented
2#10619182C212yesmaximal, complemented
3#10619174C211yesmaximal, characteristic, complemented
4C2×#66166C211yesmaximal, characteristic, complemented
5#10618598C214yesmaximal, complemented
6#10618596C214yesmaximal, complemented
7#10618589C214yesmaximal, complemented
8#10618579C214yesmaximal, complemented
9#10618557C214yesmaximal, complemented
10#10618556C214yesmaximal, complemented
11#10618540C214yesmaximal, complemented
12#10618532C214yesmaximal, complemented
13#10618248C212yesmaximal, complemented
14#10618247C212yesmaximal, complemented
15#10618205C212yesmaximal, complemented
16#10618204C212yesmaximal, complemented
17#10618200C212yesmaximal, complemented
18#10618199C212yesmaximal, complemented
19#10617946C214yesmaximal, complemented
20#10617914C214yesmaximal, complemented
21#10617913C212yesmaximal, complemented
22C2×#65983C212yesmaximal, complemented
23#10617762C212yesmaximal, complemented
24C2×C5×H(5,𝔽2)C2211yescharacteristic, complemented
25C22×C5×#41C2211yescharacteristic, complemented
26C2×#4144C2211yescharacteristic, complemented
27C2×#4144C2212yescomplemented
28C22×#709C2211yescharacteristic, complemented
29C5×#547C2214yescomplemented
30C5×#547C2214yescomplemented
31C5×#546C2214yescomplemented
32C5×#546C2214yescomplemented
33C5×#536C2212yescomplemented
34C5×#534C2212yescomplemented
35C5×#534C2212yescomplemented
36C5×#525C2212yescomplemented
37C2×C5×#123C2212yescomplemented
38C2×C5×#123C2212yescomplemented
39C5×#518C2211yescharacteristic, complemented
40#66167C2214yescomplemented
41#66166C2214yescomplemented
42#66166C2214yescomplemented
43#66166C2214yescomplemented
44#66166C2214yescomplemented
45#66166C2214yescomplemented
46#66163C2214yescomplemented
47#66163C2214yescomplemented
48#66163C2214yescomplemented
49#66163C2214yescomplemented
50#66158C2214yescomplemented
51#66158C2214yescomplemented
52#66158C2214yescomplemented
53#66158C2214yescomplemented
54#66150C2212yescomplemented
55C2×#4093C2211yescharacteristic, complemented
56C2×#4090C2211yescharacteristic, complemented
57#66140C2214yescomplemented
58#66140C2214yescomplemented
59#66138C2212yescomplemented
60#66138C2212yescomplemented
61#66138C2212yescomplemented
62#66138C2214yescomplemented
63C2×#4086C2211yescharacteristic, complemented
64C2×#4085C2212yes—
65C2×#4085C2212yescomplemented
66C2×#4085C2212yescomplemented
67C2×#4085C2214yescomplemented
68D4×C22⋊D5C2214yescomplemented
69D4×C22⋊D5C2214yescomplemented
70#66132C2211yescharacteristic, complemented
71C2×#4082C2211yescharacteristic, complemented
72C2×D4×Dic5C2212yescomplemented
73#66125C2212yescomplemented
74C2×#4075C2212yescomplemented
75C2×#4075C2212yescomplemented
76C2×C4×C22⋊D5C2212yescomplemented
77C2×C4×C22⋊D5C2212yescomplemented
78C22×C4×Dic5C2211yescharacteristic, complemented
79#66069C2212yescomplemented
80#66069C2212yescomplemented
81#66068C2212yescomplemented
82#66067C2214yescomplemented
83#66063C2214yescomplemented
84#66056C2212yescomplemented
85#66017C2212yescomplemented
86#66012C2214yescomplemented
87#66006C2212yescomplemented
88#66004C2212yescomplemented
89#66004C2212yescomplemented
90#66003C2214yescomplemented
91#66000C2212yescomplemented
92#65999C2214yescomplemented
93#65998C2214yescomplemented
94#65998C2212yescomplemented
95#65997C2214yescomplemented
96#65997C2214yescomplemented
97#65996C2214yescomplemented
98#65996C2214yescomplemented
99#65995C2214yescomplemented
100#65995C2214yescomplemented
101#65994C2214yescomplemented
102#65993C2214yescomplemented
103#65993C2212yescomplemented
104#65992C2214yescomplemented
105#65991C2214yescomplemented
106#65990C2214yescomplemented
107#65989C2214yescomplemented
108#65989C2214yescomplemented
109#65989C2214yescomplemented
110#65989C2214yescomplemented
111#65988C2214yescomplemented
112#65988C2214yescomplemented
113#65988C2214yescomplemented
114#65988C2214yescomplemented
115#65987C2214yescomplemented
116D5×#123C2214yescomplemented
117#65985C2212yescomplemented
118#65984C2214yescomplemented
119#65983C2214yescomplemented
120#65983C2214yescomplemented
121#65983C2214yescomplemented
122#65983C2214yescomplemented
123#65983C2214yescomplemented
124#65983C2214yescomplemented
125#65983C2214yescomplemented
126#65983C2214yescomplemented
127#65983C2214yescomplemented
128#65982C2214yescomplemented
129#65981C2214yescomplemented
130#65980C2214yescomplemented
131#65978C2214yescomplemented
132#65974C2214yescomplemented
133#65974C2214yescomplemented
134#65974C2214yescomplemented
135#65972C2214yescomplemented
136#65971C2214yescomplemented
137#65971C2214yescomplemented
138#65970C2214yescomplemented
139#65970C2214yescomplemented
140#65957C2214yescomplemented
141#65955C2214yescomplemented
142#65954C2214yescomplemented
143#65952C2214yescomplemented
144#65950C2214yescomplemented
145#65949C2214yescomplemented
146#65949C2214yescomplemented
147#65947C2214yescomplemented
148#65947C2214yescomplemented
149#65944C2214yescomplemented
150#65941C2214yescomplemented
151#65939C2214yescomplemented
152D5×#121C2214yescomplemented
153#65937C2214yescomplemented
154#65935C2214yescomplemented
155#65935C2214yescomplemented
156#65935C2214yescomplemented
157#65933C2214yescomplemented
158#65932C2214yescomplemented
159#65931C2214yescomplemented
160#65930C2214yescomplemented
161#65929C2212yescomplemented
162#65928C2212yescomplemented
163#65927C2214yescomplemented
164#65927C2214yescomplemented
165#65926C2214yescomplemented
166#65925C2214yescomplemented
167#65925C2214yescomplemented
168#65925C2214yescomplemented
169#65924C2214yescomplemented
170#65924C2214yescomplemented
171#65924C2212yescomplemented
172#65921C2214yescomplemented
173#65921C2212yescomplemented
174#65920C2214yescomplemented
175#65899C2214yescomplemented
176#65898C2214yescomplemented
177#65898C2214yescomplemented
178#65894C2214yescomplemented
179#65894C2214yescomplemented
180#65893C2214yescomplemented
181#65892C2214yescomplemented
182#65890C2214yescomplemented
183#65886C2214yescomplemented
184#65881C2214yescomplemented
185#65880C2214yescomplemented
186#65879C2214yescomplemented
187#65874C2214yescomplemented
188#65874C2214yescomplemented
189#65874C2214yescomplemented
190#65872C2214yescomplemented
191#65865C2214yescomplemented
192#65861C2214yescomplemented
193#65849C2214yescomplemented
194#65848C2214yescomplemented
195C2×#4044C2212yescomplemented
196#65845C2214yescomplemented
197#65841C2214yescomplemented
198#65841C2214yescomplemented
199#65838C2214yescomplemented
200C2×#4038C2212yescomplemented
201C2×#4035C2212yescomplemented
202C2×#4033C2212yescomplemented
203#65829C2214yescomplemented
204#65829C2214yescomplemented
205#65828C2214yescomplemented
206#65827C2212yescomplemented
207C2×#4031C2212yescomplemented
208#65824C2214yescomplemented
209#65824C2214yescomplemented
210#65824C2214yescomplemented
211#65824C2214yescomplemented
212#65820C2212yescomplemented
213#65820C2214yescomplemented
214C2×#4027C2212yescomplemented
215C2×#4027C2212yescomplemented
216C2×#4025C2212yescomplemented
217C2×#4024C2212yescomplemented
218C2×#4023C2212yescomplemented
219#62822—51nomaximal, Sylow
220C5×H(5,𝔽2)—44no—
221C2×C5×#41—44no—
222C2×C5×#41C2312yes—
223C2×C5×#41C2314yes—
224C2×C5×#41C2314yes—
225C2×C5×#41C2314yes—
226C22×C5×Q8C2311yescharacteristic
227C22×C5×D4C2312yes—
228C22×C5×D4C2311yescharacteristic
229C22×C5×D4C2311yescharacteristic
230C22×C5×D4C2311yescharacteristic
231C22×C5×D4C2312yes—
232C22×C5×D4C2314yes—
233C23×C4×C5C2311yescharacteristic
234C23×C4×C5C2311yescharacteristic
235C23×C4×C5C2311yescharacteristic
236C22×C22⋊D5C2312yes—
237C22×C22⋊D5C2312yes—
238C22×C22⋊D5C2312yes—
239C22×C22⋊D5C2314yes—
240C22×C22⋊D5C2312yes—
241C22×C22⋊D5C2314yes—
242C22×C22⋊D5C2312yes—
243C22×C22⋊D5C2312yes—
244C23×Dic5C2312yes—
245C23×Dic5C2312yes—
246#4144—48no—
247#4144—44no—
248C2×#711C2314yes—
249C2×#711C2314yes—
250C2×#711C2314yes—
251C2×#711C2314yes—
252C2×D4×D5C2314yes—
253C2×D4×D5C2314yes—
254C2×D4×D5C2314yes—
255C2×D4×D5C2314yes—
256C2×#709—44no—
257C2×#709C2314yes—
258C2×#709C2314yes—
259C2×#709C2314yes—
260C2×#709C2314yes—
261C2×#709C2312yes—
262C22×D20C2311yescharacteristic
263C22×C4×D5C2312yes—
264C22×C4×D5C2312yes—
265C22×Dic10C2312yes—
266C22×Dic10C2311yescharacteristic
267C5×C4⋊Q8C2312yes—
268C5×C4⋊Q8C2312yes—
269C5×#124C2312yes—
270C5×#124C2312yes—
271C5×#123C2314yes—
272C5×#123C2314yes—
273C5×#123C2314yes—
274C5×#123C2314yes—
275C5×#123C2314yes—
276C5×#123C2314yes—
277C5×#123C2314yes—
278C5×#123C2314yes—
279C5×#123C2312yes—
280C5×#123C2312yes—
281C5×C22⋊Q8C2314yes—
282C5×C22⋊Q8C2314yes—
283C5×C22⋊Q8C2314yes—
284C5×#121C2314yes—
285C5×#121C2314yes—
286C5×#121C2314yes—
287C5×#121C2314yes—
288C5×#121C2314yes—
289C5×#120C2314yes—
290C5×#120C2314yes—
291C5×#120C2312yes—
292C5×#120C2312yes—
293C4×C5×D4C2314yes—
294C4×C5×D4C2314yes—
295C4×C5×D4C2314yes—
296C4×C5×D4C2314yes—
297C5×#117C2312yes—
298C2×C5×C4⋊C4C2312yes—
299C2×C5×C4⋊C4C2312yes—
300C2×C5×C4⋊C4C2314yes—
301C2×C5×C22⋊C4C2312yes—
302C2×C5×C22⋊C4C2312yes—
303C2×C5×C22⋊C4C2312yes—
304C2×C5×C22⋊C4C2314yes—
305C2×C5×C22⋊C4C2312yes—
306#4099C2314yes—
307#4099C2314yes—
308#4099C2314yes—
309#4099C2314yes—
310C2×C22⋊Dic5C2312yes—
311C2×C22⋊Dic5C2312yes—
312C2×C22⋊Dic5C2312yes—
313C2×C22⋊Dic5C2314yes—
314C2×C22⋊Dic5C2312yes—
315C2×C22⋊Dic5C2312yes—
316C2×C22⋊Dic5C2312yes—
317#4093C2314yes—
318#4093C2314yes—
319#4093C2312yes—
320#4093C2312yes—
321#4093C2312yes—
322#4093C2312yes—
323#4092C2314yes—
324#4092C2314yes—
325#4092C2314yes—
326#4092C2314yes—
327#4090C2314yes—
328#4090C2312yes—
329#4090C2312yes—
330#4090C2314yes—
331#4090C2312yes—
332#4090C2312yes—
333#4086C2314yes—
334#4086C2312yes—
335#4086C2314yes—
336#4086C2312yes—
337#4086C2314yes—
338#4085C2314yes—
339#4085C2314yes—
340#4085C2314yes—
341#4085C2314yes—
342#4085C2314yes—
343#4085C2314yes—
344#4085C2314yes—
345#4085C2314yes—
346#4085C2314yes—
347#4085C2314yes—
348#4085C2314yes—
349#4085C2314yes—
350#4085C2314yes—
351#4085C2314yes—
352#4085C2314yes—
353#4085C2314yes—
354#4085C2314yes—
355#4085C2314yes—
356#4085C2314yes—
357#4085C2314yes—
358#4085C2314yes—
359#4085C2314yes—
360#4085C2314yes—
361#4085C2314yes—
362#4085C2314yes—
363#4085C2314yes—
364#4084C2314yes—
365#4084C2314yes—
366#4084C2314yes—
367#4084C2314yes—
368#4083C2314yes—
369#4083C2314yes—
370#4083C2314yes—
371#4083C2314yes—
372#4083C2312yes—
373#4083C2312yes—
374#4083C2314yes—
375#4083C2314yes—
376#4082C2312yes—
377#4082C2314yes—
378#4082C2312yes—
379#4082C2314yes—
380#4082C2314yes—
381#4081C2314yes—
382#4081C2314yes—
383#4081C2314yes—
384#4081C2314yes—
385#4081C2312yes—
386#4081C2312yes—
387#4081C2314yes—
388#4081C2314yes—
389D4×Dic5C2314yes—
390D4×Dic5C2314yes—
391D4×Dic5C2314yes—
392D4×Dic5C2314yes—
393D4×Dic5C2314yes—
394D4×Dic5C2314yes—
395D4×Dic5C2314yes—
396D4×Dic5C2314yes—
397#4076C2314yes—
398#4076C2314yes—
399#4076C2314yes—
400#4076C2314yes—
401#4076C2314yes—
402#4076C2314yes—
403#4075C2314yes—
404#4075C2314yes—
405#4075C2314yes—
406#4075C2314yes—
407#4075C2314yes—
408#4075C2314yes—
409#4075C2314yes—
410#4075C2314yes—
411#4075C2314yes—
412#4075C2314yes—
413#4075C2314yes—
414#4075C2314yes—
415C4×C22⋊D5C2314yes—
416C4×C22⋊D5C2314yes—
417C4×C22⋊D5C2314yes—
418C4×C22⋊D5C2314yes—
419C4×C22⋊D5C2314yes—
420C4×C22⋊D5C2314yes—
421C4×C22⋊D5C2314yes—
422C4×C22⋊D5C2314yes—
423C4×C22⋊D5C2314yes—
424C4×C22⋊D5C2314yes—
425C4×C22⋊D5C2314yes—
426C4×C22⋊D5C2314yes—
427C4×C22⋊D5C2314yes—
428C4×C22⋊D5C2314yes—
429C4×C22⋊D5C2314yes—
430C4×C22⋊D5C2314yes—
431C4×C22⋊D5C2314yes—
432C4×C22⋊D5C2314yes—
433C2×#685C2312yes—
434C2×#685C2312yes—
435C2×#685C2312yes—
436C2×#685C2312yes—
437C2×#685C2312yes—
438C2×#685C2312yes—
439C2×#685C2314yes—
440C2×#685C2314yes—
441#4072C2314yes—
442#4072C2312yes—
443C2×C4⋊Dic5C2312yes—
444C2×C4⋊Dic5C2312yes—
445#4070C2314yes—
446#4070C2314yes—
447#4070C2314yes—
448#4070C2314yes—
449C2×#683C2312yes—
450C2×#683C2312yes—
451C2×#683C2312yes—
452C2×#683C2312yes—
453C2×#683C2312yes—
454C2×#683C2312yes—
455C2×#683C2312yes—
456C2×#683C2312yes—
457C2×#683C2314yes—
458C2×#683C2314yes—
459C2×C4×Dic5C2312yes—
460C2×C4×Dic5C2312yes—
461C2×C4×Dic5C2312yes—
462C2×C4×Dic5C2312yes—
463C2×C4×Dic5C2312yes—
464C2×C4×Dic5C2312yes—
465C2×C4×Dic5C2312yes—
466C2×C4×Dic5C2311yescharacteristic
467C2×C4×Dic5C2311yescharacteristic
468#4044C2314yes—
469#4044C2314yes—
470#4044C2314yes—
471#4044C2314yes—
472#4044C2314yes—
473#4044C2314yes—
474#4044C2314yes—
475#4044C2314yes—
476#4043C2314yes—
477#4042C2314yes—
478#4042C2314yes—
479#4042C2314yes—
480#4042C2314yes—
481#4042C2314yes—
482#4042C2314yes—
483#4042C2314yes—
484#4042C2314yes—
485#4041C2314yes—
486#4041C2314yes—
487#4041C2314yes—
488#4040C2314yes—
489#4040C2314yes—
490#4040C2314yes—
491#4040C2314yes—
492#4040C2314yes—
493#4040C2314yes—
494#4040C2314yes—
495#4040C2314yes—
496#4039C2314yes—
497#4039C2314yes—
498#4039C2314yes—
499#4038C2314yes—
500#4038C2314yes—
501#4038C2314yes—
502#4038C2314yes—
503#4038C2314yes—
504D5×C4⋊C4C2314yes—
505D5×C4⋊C4C2314yes—
506D5×C4⋊C4C2314yes—
507#4036C2314yes—
508#4035C2314yes—
509#4035C2314yes—
510#4035C2314yes—
511#4035C2314yes—
512#4035C2314yes—
513#4035C2314yes—
514#4035C2314yes—
515#4035C2314yes—
516#4034C2314yes—
517#4034C2314yes—
518#4034C2314yes—
519#4033C2314yes—
520#4033C2314yes—
521#4033C2314yes—
522#4033C2314yes—
523#4033C2314yes—
524#4032C2314yes—
525#4032C2314yes—
526#4032C2314yes—
527#4032C2314yes—
528#4031C2314yes—
529#4031C2314yes—
530#4031C2314yes—
531#4031C2314yes—
532#4031C2314yes—
533#4031C2314yes—
534#4031C2314yes—
535#4031C2314yes—
536#4031C2314yes—
537#4031C2314yes—
538#4031C2314yes—
539#4031C2314yes—
540#4030C2314yes—
541#4030C2314yes—
542#4030C2314yes—
543#4030C2314yes—
544#4030C2314yes—
545#4030C2314yes—
546#4030C2314yes—
547#4030C2314yes—
548#4030C2314yes—
549#4030C2314yes—
550#4029C2314yes—
551#4029C2314yes—
552#4029C2314yes—
553#4029C2314yes—
554#4029C2314yes—
555#4029C2314yes—
556#4029C2314yes—
557#4029C2314yes—
558#4028C2314yes—
559#4028C2314yes—
560#4028C2314yes—
561#4028C2314yes—
562#4028C2314yes—
563#4028C2314yes—
564#4027C2314yes—
565#4027C2314yes—
566#4027C2314yes—
567#4027C2314yes—
568#4027C2314yes—
569#4027C2314yes—
570#4027C2314yes—
571#4027C2314yes—
572#4027C2314yes—
573#4027C2314yes—
574#4027C2314yes—
575#4027C2314yes—
576#4027C2314yes—
577#4027C2314yes—
578#4027C2314yes—
579#4027C2314yes—
580D5×C22⋊C4C2314yes—
581D5×C22⋊C4C2314yes—
582D5×C22⋊C4C2314yes—
583D5×C22⋊C4C2314yes—
584D5×C22⋊C4C2314yes—
585#4025C2314yes—
586#4025C2314yes—
587#4025C2314yes—
588#4025C2314yes—
589#4025C2314yes—
590#4025C2314yes—
591#4025C2314yes—
592#4025C2314yes—
593#4025C2314yes—
594#4025C2314yes—
595#4024C2314yes—
596#4024C2314yes—
597#4024C2314yes—
598#4024C2314yes—
599#4024C2314yes—
600#4024C2314yes—
601#4024C2314yes—
602#4024C2314yes—
603#4024C2314yes—
604#4024C2314yes—
605#4023C2314yes—
606#4023C2314yes—
607#4023C2314yes—
608#4023C2314yes—
609#4023C2314yes—
610#4023C2314yes—
611#4023C2314yes—
612#4022C2314yes—
613#4022C2314yes—
614#4021C2314yes—
615C4×D20C2314yes—
616#4018C2314yes—
617#4018C2314yes—
618#4016C2314yes—
619C4×Dic10C2314yes—
620#3560—54no—
621#3560—54no—
622#3559—54no—
623#3558—54no—
624#3545—52no—
625#3545—52no—
626#3544—52no—
627#3543—52no—
628#3522—54no—
629#3519—54no—
630#3513—54no—
631#3513—54no—
632#3505—52no—
633#3505—52no—
634#3496—52no—
635#3496—52no—
636#3494—54no—
637#3494—54no—
638#3485—51no—
639#3485—52no—
640#3485D511yescharacteristic, complemented
641C2×#532—51no—
642C2×#529—52no—
643C24×C5C2411yescharacteristic
644C24×C5C2411yescharacteristic
645C24×C5C2412yes—
646C24×C5C2412yes—
647C24×C5C2411yescharacteristic
648C23×D5C2412yes—
649C23×D5C2412yes—
650C23×D5C2412yes—
651C23×D5C2414yes—
652C5×#41—48no—
653C5×#41—48no—
654C5×#41—48no—
655C5×#41—44no—
656C2×C5×Q8—42no—
657C2×C5×Q8C2412yes—
658C2×C5×Q8C2412yes—
659C2×C5×Q8C2412yes—
660C2×C5×D4—24no—
661C2×C5×D4—28no—
662C2×C5×D4—24no—
663C2×C5×D4—42no—
664C2×C5×D4—44no—
665C2×C5×D4—48no—
666C2×C5×D4C2414yes—
667C2×C5×D4C2414yes—
668C2×C5×D4C2414yes—
669C2×C5×D4C2414yes—
670C2×C5×D4C2414yes—
671C2×C5×D4C2414yes—
672C2×C5×D4C2412yes—
673C2×C5×D4C2412yes—
674C2×C5×D4C2414yes—
675C2×C5×D4C2412yes—
676C22×C4×C5—24no—
677C22×C4×C5—42no—
678C22×C4×C5—42no—
679C22×C4×C5C2412yes—
680C22×C4×C5C2412yes—
681C22×C4×C5C2412yes—
682C22×C4×C5C2411yescharacteristic
683C22×C4×C5C2411yescharacteristic
684C22×C4×C5C2411yescharacteristic
685C22×C4×C5C2411yescharacteristic
686C22×C4×C5C2412yes—
687C22×C4×C5C2412yes—
688C22×C4×C5C2414yes—
689C22×C4×C5C2414yes—
690C22×C4×C5C2412yes—
691C22×C4×C5C2414yes—
692C22×C4×C5C2414yes—
693C2×C22⋊D5—28no—
694C2×C22⋊D5—28no—
695C2×C22⋊D5—44no—
696C2×C22⋊D5—48no—
697C2×C22⋊D5—44no—
698C2×C22⋊D5—44no—
699C2×C22⋊D5—48no—
700C2×C22⋊D5—44no—
701C2×C22⋊D5C2414yes—
702C2×C22⋊D5C2414yes—
703C2×C22⋊D5C2414yes—
704C2×C22⋊D5C2414yes—
705C2×C22⋊D5C2414yes—
706C2×C22⋊D5C2414yes—
707C2×C22⋊D5C2414yes—
708C2×C22⋊D5C2414yes—
709C2×C22⋊D5C2414yes—
710C2×C22⋊D5C2414yes—
711C2×C22⋊D5C2414yes—
712C2×C22⋊D5C2414yes—
713C2×C22⋊D5C2414yes—
714C2×C22⋊D5C2414yes—
715C2×C22⋊D5C2414yes—
716C2×C22⋊D5C2414yes—
717C2×C22⋊D5C2414yes—
718C22×Dic5—44no—
719C22×Dic5—44no—
720C22×Dic5C2412yes—
721C22×Dic5C2412yes—
722C22×Dic5C2412yes—
723C22×Dic5C2412yes—
724C22×Dic5C2414yes—
725C22×Dic5C2412yes—
726C22×Dic5C2412yes—
727C22×Dic5C2412yes—
728C22×Dic5C2414yes—
729C22×Dic5C2414yes—
730C22×Dic5C2414yes—
731C22×Dic5C2412yes—
732C22×Dic5C2412yes—
733C22×Dic5C2412yes—
734C22×Dic5C2412yes—
735#711—48no—
736#711—48no—
737#711—48no—
738#711—48no—
739D4×D5—48no—
740D4×D5—48no—
741D4×D5—48no—
742D4×D5—48no—
743#709—48no—
744#709—48no—
745#709—48no—
746#709—48no—
747#709—44no—
748C2×D20—42no—
749C2×D20C2412yes—
750C2×D20C2412yes—
751C2×D20C2412yes—
752C2×D20C2414yes—
753C2×D20C2414yes—
754C2×D20C2414yes—
755C2×C4×D5—44no—
756C2×C4×D5—44no—
757C2×C4×D5C2414yes—
758C2×C4×D5C2414yes—
759C2×C4×D5C2414yes—
760C2×C4×D5C2414yes—
761C2×C4×D5C2414yes—
762C2×C4×D5C2414yes—
763C2×C4×D5C2414yes—
764C2×C4×D5C2414yes—
765C2×C4×D5C2414yes—
766C2×Dic10—44no—
767C2×Dic10—42no—
768C2×Dic10C2414yes—
769C2×Dic10C2412yes—
770C2×Dic10C2412yes—
771C2×Dic10C2414yes—
772C2×Dic10C2412yes—
773C2×Dic10C2414yes—
774C5×C4⋊C4C2414yes—
775C5×C4⋊C4C2414yes—
776C5×C4⋊C4C2414yes—
777C5×C4⋊C4C2414yes—
778C5×C4⋊C4C2414yes—
779C5×C4⋊C4C2414yes—
780C5×C4⋊C4C2414yes—
781C5×C22⋊C4C2414yes—
782C5×C22⋊C4C2414yes—
783C5×C22⋊C4C2414yes—
784C5×C22⋊C4C2414yes—
785C5×C22⋊C4C2412yes—
786C5×C22⋊C4C2412yes—
787C5×C22⋊C4C2414yes—
788C5×C22⋊C4C2414yes—
789C5×C22⋊C4C2414yes—
790C5×C22⋊C4C2414yes—
791C5×C22⋊C4C2414yes—
792C5×C22⋊C4C2414yes—
793C42×C5C2412yes—
794C42×C5C2412yes—
795C22⋊Dic5C2414yes—
796C22⋊Dic5C2414yes—
797C22⋊Dic5C2414yes—
798C22⋊Dic5C2414yes—
799C22⋊Dic5C2414yes—
800C22⋊Dic5C2414yes—
801C22⋊Dic5C2414yes—
802C22⋊Dic5C2414yes—
803C22⋊Dic5C2414yes—
804C22⋊Dic5C2414yes—
805C22⋊Dic5C2414yes—
806C22⋊Dic5C2414yes—
807C22⋊Dic5C2412yes—
808C22⋊Dic5C2412yes—
809C22⋊Dic5C2414yes—
810C22⋊Dic5C2414yes—
811#685C2414yes—
812#685C2414yes—
813#685C2414yes—
814#685C2414yes—
815#685C2414yes—
816#685C2414yes—
817#685C2414yes—
818#685C2414yes—
819#685C2414yes—
820#685C2414yes—
821#685C2414yes—
822#685C2414yes—
823#685C2414yes—
824#685C2414yes—
825#685C2414yes—
826#685C2414yes—
827#685C2414yes—
828#685C2414yes—
829#685C2414yes—
830#685C2414yes—
831#685C2414yes—
832#685C2414yes—
833C4⋊Dic5C2414yes—
834C4⋊Dic5C2414yes—
835C4⋊Dic5C2414yes—
836C4⋊Dic5C2414yes—
837C4⋊Dic5C2414yes—
838C4⋊Dic5C2414yes—
839C4⋊Dic5C2414yes—
840#683C2414yes—
841#683C2414yes—
842#683C2414yes—
843#683C2414yes—
844#683C2414yes—
845#683C2414yes—
846#683C2414yes—
847#683C2414yes—
848#683C2414yes—
849#683C2414yes—
850#683C2414yes—
851#683C2414yes—
852#683C2414yes—
853#683C2414yes—
854#683C2414yes—
855#683C2414yes—
856#683C2414yes—
857#683C2414yes—
858#683C2414yes—
859#683C2414yes—
860#683C2414yes—
861#683C2414yes—
862C4×Dic5C2414yes—
863C4×Dic5C2414yes—
864C4×Dic5C2414yes—
865C4×Dic5C2414yes—
866C4×Dic5C2411yescharacteristic
867C4×Dic5C2412yes—
868C4×Dic5C2412yes—
869C4×Dic5C2412yes—
870C4×Dic5C2412yes—
871C4×Dic5C2414yes—
872C4×Dic5C2411yescharacteristic
873C4×Dic5C2412yes—
874C4×Dic5C2412yes—
875C4×Dic5C2412yes—
876C4×Dic5C2411yescharacteristic
877C4×Dic5C2412yes—
878C4×Dic5C2414yes—
879C4×Dic5C2411yescharacteristic
880C2×H(5,𝔽2)—51no—
881C2×H(5,𝔽2)—52no—
882C2×H(5,𝔽2)C2×D511yescharacteristic, complemented
883C22×#41—51no—
884C22×#41C2×D511yescharacteristic, complemented
885#563—52no—
886#563—52no—
887#563—52no—
888#563—52no—
889#563—54no—
890#562—54no—
891#562—54no—
892H(3,𝔽4)—52no—
893H(3,𝔽4)—52no—
894#560—52no—
895#560—54no—
896#560—52no—
897#559—54no—
898#559—52no—
899#559—54no—
900Q82—52no—
901#555—52no—
902#555—52no—
903#555—52no—
904#555—54no—
905#554—54no—
906#554—54no—
907#554—54no—
908#553—54no—
909#553—54no—
910#553—54no—
911#553—54no—
912#553—54no—
913#553—54no—
914#553—54no—
915#553—54no—
916#553—54no—
917#553—54no—
918#553—54no—
919#553—54no—
920#552—54no—
921#552—54no—
922#551—52no—
923#551—54no—
924#551—54no—
925#551—54no—
926#551—54no—
927#551—52no—
928#551—54no—
929#551—54no—
930#551—54no—
931#551—54no—
932#551—54no—
933#550—54no—
934#548—54no—
935#548—54no—
936#547—54no—
937#547—54no—
938#547—54no—
939#547—54no—
940#547—54no—
941#547—54no—
942#547—54no—
943#547—54no—
944#547—54no—
945#547—54no—
946#547C2×D514yescomplemented
947#547C2×D514yescomplemented
948#546—54no—
949#546—54no—
950#546—54no—
951#546—54no—
952#546—54no—
953#546—54no—
954#546—54no—
955#546—54no—
956#546—54no—
957#546—54no—
958#546—54no—
959#546—54no—
960#546—54no—
961#546—54no—
962#546—54no—
963#546—54no—
964#546—54no—
965#546—54no—
966#546C2×D514yescomplemented
967#546C2×D514yescomplemented
968D42—54no—
969D42—54no—
970D42—54no—
971D42—54no—
972D42—52no—
973#544—54no—
974#544—54no—
975#542—54no—
976#542—54no—
977#542—54no—
978#542—54no—
979#542—54no—
980#542—54no—
981#542—54no—
982#542—54no—
983#540—54no—
984#540—54no—
985#540—54no—
986#540—54no—
987#539—54no—
988#539—54no—
989#539—54no—
990#539—54no—
991#539—54no—
992#539—54no—
993#538—54no—
994#538—54no—
995#538—54no—
996#538—54no—
997#538—54no—
998#538—54no—
999#538—54no—
1000#538—54no—
1001#538—54no—
1002#538—54no—
1003#537—54no—
1004#537—54no—
1005#536—52no—
1006#536—54no—
1007#536C2×D512yescomplemented
1008#535—54no—
1009#535—54no—
1010#534—52no—
1011#534—52no—
1012#534—52no—
1013#534—54no—
1014#534—54no—
1015#534—54no—
1016#534—52no—
1017#534C2×D512yescomplemented
1018#534C2×D512yescomplemented
1019#532—54no—
1020#532—54no—
1021#532—54no—
1022#532—54no—
1023#532—54no—
1024#532—54no—
1025C2×C4⋊Q8—51no—
1026C2×#127—51no—
1027#529—54no—
1028#529—54no—
1029#529—54no—
1030#529—54no—
1031#529—54no—
1032#529—54no—
1033#529—54no—
1034#529—54no—
1035#529—54no—
1036#529—54no—
1037C2×#126—52no—
1038C2×#126—52no—
1039C2×#125—52no—
1040C2×#124—51no—
1041C2×#124—51no—
1042C2×#124—52no—
1043#525—52no—
1044#525—54no—
1045#525—54no—
1046#525—54no—
1047#525C2×D512yescomplemented
1048C2×#123—52no—
1049C2×#123—52no—
1050C2×#123—54no—
1051C2×#123C2×D512yescomplemented
1052C2×#123C2×D512yescomplemented
1053C2×C22⋊Q8—52no—
1054C2×#121—52no—
1055C2×#121—52no—
1056C2×#121—52no—
1057C2×#121—54no—
1058C2×#121—54no—
1059#520—54no—
1060#520—54no—
1061#518—51no—
1062#518—54no—
1063#518—52no—
1064#518—54no—
1065#518C2×D511yescharacteristic, complemented
1066C2×C4×Q8—52no—
1067C2×C4×D4—52no—
1068C2×C4×D4—52no—
1069C2×C4×D4—52no—
1070C2×C4×D4—52no—
1071C2×C4×D4—52no—
1072C2×#117—52no—
1073C2×#117—52no—
1074C22×C42—51no—
1075C23×C5—22no—
1076C23×C5—24no—
1077C23×C5—22no—
1078C23×C5—42no—
1079C23×C5—42no—
1080C23×C5—42no—
1081C23×C5—42no—
1082C23×C5—42no—
1083C23×C5—44no—
1084C23×C5—42no—
1085C23×C5H(5,𝔽2)14yes—
1086C23×C5C2512yes—
1087C23×C5C2514yes—
1088C23×C5C2512yes—
1089C23×C5C2511yescharacteristic
1090C23×C5C2512yes—
1091C22×D5—24no—
1092C22×D5—24no—
1093C22×D5—42no—
1094C22×D5—42no—
1095C22×D5—42no—
1096C22×D5—42no—
1097C22×D5—44no—
1098C22×D5—42no—
1099C22×D5—44no—
1100C22×D5—44no—
1101C22×D5—44no—
1102C22×D5C2514yes—
1103C22×D5C2514yes—
1104C5×Q8—42no—
1105C5×Q8—42no—
1106C5×Q8—42no—
1107C5×D4—28no—
1108C5×D4—28no—
1109C5×D4—28no—
1110C5×D4—28no—
1111C5×D4—44no—
1112C5×D4—44no—
1113C5×D4—44no—
1114C5×D4—42no—
1115C5×D4—42no—
1116C5×D4—42no—
1117C2×C4×C5—22no—
1118C2×C4×C5—22no—
1119C2×C4×C5—24no—
1120C2×C4×C5—24no—
1121C2×C4×C5—22no—
1122C2×C4×C5—24no—
1123C2×C4×C5—22no—
1124C2×C4×C5—42no—
1125C2×C4×C5—42no—
1126C2×C4×C5—44no—
1127C2×C4×C5—44no—
1128C2×C4×C5—44no—
1129C2×C4×C5—42no—
1130C2×C4×C5—44no—
1131C2×C4×C5C2511yescharacteristic
1132C2×C4×C5C2511yescharacteristic
1133C2×C4×C5C2512yes—
1134C2×C4×C5C2514yes—
1135C2×C4×C5C2512yes—
1136C2×C4×C5C2514yes—
1137C2×C4×C5C2514yes—
1138C2×C4×C5C2512yes—
1139C22⋊D5—28no—
1140C22⋊D5—28no—
1141C22⋊D5—28no—
1142C22⋊D5—28no—
1143C22⋊D5—28no—
1144C22⋊D5—28no—
1145C22⋊D5—28no—
1146C22⋊D5—44no—
1147C22⋊D5—44no—
1148C22⋊D5—44no—
1149C22⋊D5—44no—
1150C22⋊D5—44no—
1151C22⋊D5—44no—
1152C22⋊D5—44no—
1153C22⋊D5—44no—
1154C22⋊D5—44no—
1155C22⋊D5—44no—
1156C2×Dic5—24no—
1157C2×Dic5—24no—
1158C2×Dic5—24no—
1159C2×Dic5—24no—
1160C2×Dic5—28no—
1161C2×Dic5—24no—
1162C2×Dic5—42no—
1163C2×Dic5—44no—
1164C2×Dic5—42no—
1165C2×Dic5—44no—
1166C2×Dic5—42no—
1167C2×Dic5—42no—
1168C2×Dic5—44no—
1169C2×Dic5—42no—
1170C2×Dic5—42no—
1171C2×Dic5C2512yes—
1172C2×Dic5C2512yes—
1173C2×Dic5C2512yes—
1174C2×Dic5C2514yes—
1175C2×Dic5C2514yes—
1176C2×Dic5C2514yes—
1177C2×Dic5C2514yes—
1178C2×Dic5C2512yes—
1179D20—42no—
1180D20—42no—
1181D20—44no—
1182D20—44no—
1183D20—42no—
1184D20—44no—
1185C4×D5—28no—
1186C4×D5—44no—
1187C4×D5—44no—
1188C4×D5—44no—
1189C4×D5—44no—
1190C4×D5—44no—
1191C4×D5—44no—
1192C4×D5—44no—
1193C4×D5—44no—
1194Dic10—28no—
1195Dic10—44no—
1196Dic10—42no—
1197Dic10—42no—
1198Dic10—44no—
1199Dic10—42no—
1200H(5,𝔽2)—44no—
1201H(5,𝔽2)—204no—
1202H(5,𝔽2)—208no—
1203C2×#41—44no—
1204C2×#41—54no—
1205C2×#41—54no—
1206C2×#41—54no—
1207C2×#41—54no—
1208C2×#41—54no—
1209C2×#41—52no—
1210C2×#41—54no—
1211C2×#41—54no—
1212C2×#41—54no—
1213C2×#41—204no—
1214C2×#41C22×D512yes—
1215C2×#41C22×D514yes—
1216C2×#41C22×D514yes—
1217C2×#41C22×D514yes—
1218C22×Q8—52no—
1219C22×Q8—51no—
1220C22×Q8C22×D511yescharacteristic
1221C22×D4—52no—
1222C22×D4—52no—
1223C22×D4—52no—
1224C22×D4—52no—
1225C22×D4—52no—
1226C22×D4—54no—
1227C22×D4—54no—
1228C22×D4—52no—
1229C22×D4—54no—
1230C22×D4—54no—
1231C22×D4—54no—
1232C22×D4—54no—
1233C22×D4—51no—
1234C22×D4C22×D512yes—
1235C22×D4C22×D511yescharacteristic
1236C22×D4C22×D511yescharacteristic
1237C22×D4C22×D514yes—
1238C22×D4C22×D512yes—
1239C22×D4C22×D511yescharacteristic
1240C23×C4—52no—
1241C23×C4—52no—
1242C23×C4—52no—
1243C23×C4—52no—
1244C23×C4C22×D511yescharacteristic
1245C23×C4C22×D511yescharacteristic
1246C23×C4C22×D511yescharacteristic
1247C4⋊Q8—54no—
1248C4⋊Q8—52no—
1249C4⋊Q8—52no—
1250C4⋊Q8—54no—
1251C4⋊Q8—52no—
1252C4⋊Q8—52no—
1253C4⋊Q8—54no—
1254C4⋊Q8—54no—
1255C4⋊Q8—54no—
1256C4⋊Q8C22×D512yes—
1257C4⋊Q8C22×D512yes—
1258#127—54no—
1259#127—52no—
1260#127—52no—
1261#127—54no—
1262#127—54no—
1263#126—54no—
1264#126—54no—
1265#126—54no—
1266#126—54no—
1267#126—54no—
1268#126—54no—
1269#126—54no—
1270#126—54no—
1271#126—54no—
1272#126—54no—
1273#126—54no—
1274#126—54no—
1275#126—54no—
1276#126—54no—
1277#126—54no—
1278#126—54no—
1279#126—54no—
1280#126—54no—
1281#126—54no—
1282#126—54no—
1283#125—54no—
1284#125—54no—
1285#125—54no—
1286#125—54no—
1287#125—54no—
1288#125—54no—
1289#125—54no—
1290#125—54no—
1291#125—54no—
1292#125—54no—
1293#124—54no—
1294#124—52no—
1295#124—52no—
1296#124—54no—
1297#124—52no—
1298#124—52no—
1299#124—54no—
1300#124—52no—
1301#124—52no—
1302#124—54no—
1303#124—54no—
1304#124—54no—
1305#124—54no—
1306#124—54no—
1307#124—54no—
1308#124—54no—
1309#124—54no—
1310#124—54no—
1311#124—54no—
1312#124—54no—
1313#124—54no—
1314#124—54no—
1315#124—54no—
1316#124—54no—
1317#124C22×D512yes—
1318#124C22×D512yes—
1319#123—54no—
1320#123—54no—
1321#123—54no—
1322#123—54no—
1323#123—54no—
1324#123—52no—
1325#123—52no—
1326#123—54no—
1327#123—54no—
1328#123—54no—
1329#123—54no—
1330#123—54no—
1331#123—54no—
1332#123—54no—
1333#123—54no—
1334#123—54no—
1335#123—54no—
1336#123—54no—
1337#123—54no—
1338#123—54no—
1339#123—54no—
1340#123—54no—
1341#123—54no—
1342#123—54no—
1343#123—54no—
1344#123—54no—
1345#123—54no—
1346#123—54no—
1347#123—54no—
1348#123—54no—
1349#123—54no—
1350#123—54no—
1351#123—54no—
1352#123—54no—
1353#123—54no—
1354#123—54no—
1355#123—54no—
1356#123—54no—
1357#123—54no—
1358#123—54no—
1359#123C22×D514yes—
1360#123C22×D514yes—
1361#123C22×D514yes—
1362#123C22×D514yes—
1363#123C22×D514yes—
1364#123C22×D514yes—
1365#123C22×D514yes—
1366#123C22×D514yes—
1367#123C22×D512yes—
1368#123C22×D512yes—
1369C22⋊Q8—54no—
1370C22⋊Q8—54no—
1371C22⋊Q8—54no—
1372C22⋊Q8—54no—
1373C22⋊Q8—54no—
1374C22⋊Q8—54no—
1375C22⋊Q8—54no—
1376C22⋊Q8—54no—
1377C22⋊Q8—54no—
1378C22⋊Q8—54no—
1379C22⋊Q8—54no—
1380C22⋊Q8—54no—
1381C22⋊Q8—54no—
1382C22⋊Q8—54no—
1383C22⋊Q8—54no—
1384C22⋊Q8—54no—
1385C22⋊Q8—54no—
1386C22⋊Q8—54no—
1387C22⋊Q8—54no—
1388C22⋊Q8—54no—
1389C22⋊Q8—54no—
1390C22⋊Q8—54no—
1391C22⋊Q8—54no—
1392C22⋊Q8—54no—
1393C22⋊Q8—54no—
1394C22⋊Q8—54no—
1395C22⋊Q8—54no—
1396C22⋊Q8C22×D514yes—
1397C22⋊Q8C22×D514yes—
1398C22⋊Q8C22×D514yes—
1399#121—54no—
1400#121—54no—
1401#121—54no—
1402#121—54no—
1403#121—54no—
1404#121—54no—
1405#121—54no—
1406#121—54no—
1407#121—54no—
1408#121—54no—
1409#121—54no—
1410#121—54no—
1411#121—54no—
1412#121—54no—
1413#121—54no—
1414#121—54no—
1415#121—54no—
1416#121—54no—
1417#121—54no—
1418#121—54no—
1419#121—54no—
1420#121—54no—
1421#121—54no—
1422#121—54no—
1423#121—54no—
1424#121—54no—
1425#121—54no—
1426#121—54no—
1427#121—54no—
1428#121—54no—
1429#121—54no—
1430#121—54no—
1431#121—54no—
1432#121—54no—
1433#121—54no—
1434#121—54no—
1435#121—54no—
1436#121—54no—
1437#121—54no—
1438#121—54no—
1439#121—54no—
1440#121—54no—
1441#121—54no—
1442#121—54no—
1443#121—54no—
1444#121—54no—
1445#121—54no—
1446#121—54no—
1447#121—54no—
1448#121C22×D514yes—
1449#121C22×D514yes—
1450#121C22×D514yes—
1451#121C22×D514yes—
1452#121C22×D514yes—
1453#120—54no—
1454#120—54no—
1455#120—54no—
1456#120—54no—
1457#120—54no—
1458#120—54no—
1459#120—52no—
1460#120—54no—
1461#120—54no—
1462#120—52no—
1463#120—54no—
1464#120—54no—
1465#120—54no—
1466#120—54no—
1467#120—54no—
1468#120—54no—
1469#120—54no—
1470#120—54no—
1471#120C22×D514yes—
1472#120C22×D514yes—
1473#120C22×D512yes—
1474#120C22×D512yes—
1475C4×Q8—54no—
1476C4×Q8—54no—
1477C4×Q8—54no—
1478C4×Q8—54no—
1479C4×Q8—54no—
1480C4×Q8—54no—
1481C4×D4—54no—
1482C4×D4—54no—
1483C4×D4—54no—
1484C4×D4—54no—
1485C4×D4—54no—
1486C4×D4—54no—
1487C4×D4—54no—
1488C4×D4—54no—
1489C4×D4—54no—
1490C4×D4—54no—
1491C4×D4—54no—
1492C4×D4—54no—
1493C4×D4—54no—
1494C4×D4—54no—
1495C4×D4—54no—
1496C4×D4—54no—
1497C4×D4—54no—
1498C4×D4—54no—
1499C4×D4—54no—
1500C4×D4—54no—
1501C4×D4—54no—
1502C4×D4—54no—
1503C4×D4—54no—
1504C4×D4—54no—
1505C4×D4—54no—
1506C4×D4—54no—
1507C4×D4—54no—
1508C4×D4—54no—
1509C4×D4—54no—
1510C4×D4—54no—
1511C4×D4—54no—
1512C4×D4—54no—
1513C4×D4—54no—
1514C4×D4—54no—
1515C4×D4—54no—
1516C4×D4—54no—
1517C4×D4—54no—
1518C4×D4—54no—
1519C4×D4—54no—
1520C4×D4—54no—
1521C4×D4—54no—
1522C4×D4—54no—
1523C4×D4—54no—
1524C4×D4—54no—
1525C4×D4—54no—
1526C4×D4—54no—
1527C4×D4C22×D514yes—
1528C4×D4C22×D514yes—
1529C4×D4C22×D514yes—
1530C4×D4C22×D514yes—
1531#117—52no—
1532#117—54no—
1533#117—54no—
1534#117—54no—
1535#117—54no—
1536#117—54no—
1537#117—54no—
1538#117—54no—
1539#117—54no—
1540#117—54no—
1541#117—54no—
1542#117—54no—
1543#117—54no—
1544#117—54no—
1545#117—54no—
1546#117—54no—
1547#117C22×D512yes—
1548C2×C4⋊C4—52no—
1549C2×C4⋊C4—52no—
1550C2×C4⋊C4—52no—
1551C2×C4⋊C4—52no—
1552C2×C4⋊C4—52no—
1553C2×C4⋊C4—52no—
1554C2×C4⋊C4—52no—
1555C2×C4⋊C4—52no—
1556C2×C4⋊C4—52no—
1557C2×C4⋊C4—52no—
1558C2×C4⋊C4—54no—
1559C2×C4⋊C4—54no—
1560C2×C4⋊C4—54no—
1561C2×C4⋊C4—54no—
1562C2×C4⋊C4—54no—
1563C2×C4⋊C4C22×D512yes—
1564C2×C4⋊C4C22×D512yes—
1565C2×C4⋊C4C22×D514yes—
1566C2×C22⋊C4—52no—
1567C2×C22⋊C4—52no—
1568C2×C22⋊C4—52no—
1569C2×C22⋊C4—52no—
1570C2×C22⋊C4—52no—
1571C2×C22⋊C4—54no—
1572C2×C22⋊C4—52no—
1573C2×C22⋊C4—52no—
1574C2×C22⋊C4—52no—
1575C2×C22⋊C4—52no—
1576C2×C22⋊C4—52no—
1577C2×C22⋊C4—52no—
1578C2×C22⋊C4—52no—
1579C2×C22⋊C4—54no—
1580C2×C22⋊C4—54no—
1581C2×C22⋊C4—54no—
1582C2×C22⋊C4—54no—
1583C2×C22⋊C4—54no—
1584C2×C22⋊C4—54no—
1585C2×C22⋊C4—54no—
1586C2×C22⋊C4C22×D512yes—
1587C2×C22⋊C4C22×D512yes—
1588C2×C22⋊C4C22×D512yes—
1589C2×C22⋊C4C22×D514yes—
1590C2×C22⋊C4C22×D512yes—
1591C2×C42—52no—
1592C2×C42—52no—
1593C2×C42—52no—
1594C2×C42—52no—
1595C2×C42—52no—
1596C2×C42—51no—
1597C2×C42—52no—
1598C2×C42—52no—
1599C2×C42—51no—
1600C22×C5—22no—
1601C22×C5—22no—
1602C22×C5—22no—
1603C22×C5—22no—
1604C22×C5—24no—
1605C22×C5—22no—
1606C22×C5—24no—
1607C22×C5—24no—
1608C22×C5—24no—
1609C22×C5—24no—
1610C22×C5—44no—
1611C22×C5—82no—
1612C22×C5—82no—
1613C22×C5—84no—
1614C22×C5—162no—
1615C22×C5C2×H(5,𝔽2)12yes—
1616C22×C5C2×H(5,𝔽2)14yes—
1617C22×C5C2611yescharacteristic
1618C2×D5—24no—
1619C2×D5—24no—
1620C2×D5—24no—
1621C2×D5—24no—
1622C2×D5—24no—
1623C2×D5—24no—
1624C2×D5—84no—
1625C2×D5—84no—
1626C2×D5—164no—
1627C2×D5—162no—
1628C4×C5—21no—
1629C4×C5—21no—
1630C4×C5—24no—
1631C4×C5—22no—
1632C4×C5—22no—
1633C4×C5—22no—
1634C4×C5—24no—
1635C4×C5—24no—
1636Dic5—24no—
1637Dic5—24no—
1638Dic5—24no—
1639Dic5—22no—
1640Dic5—22no—
1641Dic5—24no—
1642Dic5—22no—
1643Dic5#58514yes—
1644C24—52no—
1645C24—52no—
1646C24—52no—
1647C24—54no—
1648C24C23×D511yescharacteristic
1649C24C23×D511yescharacteristic
1650C24C23×D512yes—
1651C24C23×D512yes—
1652C24C23×D511yescharacteristic
1653#41—48no—
1654#41—48no—
1655#41—44no—
1656#41—48no—
1657#41—208no—
1658#41—208no—
1659#41—204no—
1660#41—208no—
1661#41—208no—
1662#41—208no—
1663#41—208no—
1664#41—208no—
1665#41—208no—
1666C2×Q8—42no—
1667C2×Q8—54no—
1668C2×Q8—54no—
1669C2×Q8—54no—
1670C2×Q8—52no—
1671C2×Q8—52no—
1672C2×Q8—52no—
1673C2×Q8—202no—
1674C2×Q8—204no—
1675C2×Q8C23×D512yes—
1676C2×Q8C23×D512yes—
1677C2×Q8C23×D512yes—
1678C2×D4—24no—
1679C2×D4—24no—
1680C2×D4—28no—
1681C2×D4—42no—
1682C2×D4—44no—
1683C2×D4—48no—
1684C2×D4—54no—
1685C2×D4—54no—
1686C2×D4—54no—
1687C2×D4—54no—
1688C2×D4—54no—
1689C2×D4—54no—
1690C2×D4—54no—
1691C2×D4—54no—
1692C2×D4—54no—
1693C2×D4—54no—
1694C2×D4—54no—
1695C2×D4—54no—
1696C2×D4—54no—
1697C2×D4—54no—
1698C2×D4—54no—
1699C2×D4—54no—
1700C2×D4—54no—
1701C2×D4—54no—
1702C2×D4—54no—
1703C2×D4—52no—
1704C2×D4—52no—
1705C2×D4—52no—
1706C2×D4—54no—
1707C2×D4—108no—
1708C2×D4—108no—
1709C2×D4—202no—
1710C2×D4—208no—
1711C2×D4—204no—
1712C2×D4—204no—
1713C2×D4—204no—
1714C2×D4—208no—
1715C2×D4—208no—
1716C2×D4—208no—
1717C2×D4—208no—
1718C2×D4—204no—
1719C2×D4—208no—
1720C2×D4C23×D514yes—
1721C2×D4C23×D514yes—
1722C2×D4C23×D514yes—
1723C2×D4C23×D514yes—
1724C2×D4C23×D514yes—
1725C2×D4C23×D514yes—
1726C2×D4C23×D512yes—
1727C2×D4C23×D512yes—
1728C2×D4C23×D512yes—
1729C2×D4C23×D514yes—
1730C22×C4—24no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—52no—
1734C22×C4—52no—
1735C22×C4—52no—
1736C22×C4—52no—
1737C22×C4—52no—
1738C22×C4—54no—
1739C22×C4—52no—
1740C22×C4—52no—
1741C22×C4—52no—
1742C22×C4—52no—
1743C22×C4—52no—
1744C22×C4—54no—
1745C22×C4—54no—
1746C22×C4—54no—
1747C22×C4—52no—
1748C22×C4—54no—
1749C22×C4—54no—
1750C22×C4—54no—
1751C22×C4—54no—
1752C22×C4—54no—
1753C22×C4—54no—
1754C22×C4—54no—
1755C22×C4—54no—
1756C22×C4—54no—
1757C22×C4—204no—
1758C22×C4—204no—
1759C22×C4—204no—
1760C22×C4—204no—
1761C22×C4C23×D512yes—
1762C22×C4C23×D512yes—
1763C22×C4C23×D511yescharacteristic
1764C22×C4C23×D511yescharacteristic
1765C22×C4C23×D512yes—
1766C22×C4C23×D511yescharacteristic
1767C22×C4C23×D511yescharacteristic
1768C22×C4C23×D512yes—
1769C22×C4C23×D514yes—
1770C22×C4C23×D514yes—
1771C22×C4C23×D512yes—
1772C22×C4C23×D514yes—
1773C22×C4C23×D514yes—
1774C22×C4C23×D512yes—
1775C4⋊C4—54no—
1776C4⋊C4—54no—
1777C4⋊C4—54no—
1778C4⋊C4—54no—
1779C4⋊C4—54no—
1780C4⋊C4—54no—
1781C4⋊C4—54no—
1782C4⋊C4—54no—
1783C4⋊C4—54no—
1784C4⋊C4—54no—
1785C4⋊C4—54no—
1786C4⋊C4—54no—
1787C4⋊C4—54no—
1788C4⋊C4—54no—
1789C4⋊C4—54no—
1790C4⋊C4—54no—
1791C4⋊C4—54no—
1792C4⋊C4—54no—
1793C4⋊C4—54no—
1794C4⋊C4—54no—
1795C4⋊C4—54no—
1796C4⋊C4—54no—
1797C4⋊C4—54no—
1798C4⋊C4—54no—
1799C4⋊C4—54no—
1800C4⋊C4—54no—
1801C4⋊C4—54no—
1802C4⋊C4—54no—
1803C4⋊C4—54no—
1804C4⋊C4C23×D514yes—
1805C4⋊C4C23×D514yes—
1806C4⋊C4C23×D514yes—
1807C4⋊C4C23×D514yes—
1808C4⋊C4C23×D514yes—
1809C4⋊C4C23×D514yes—
1810C4⋊C4C23×D514yes—
1811C22⋊C4—54no—
1812C22⋊C4—54no—
1813C22⋊C4—54no—
1814C22⋊C4—54no—
1815C22⋊C4—54no—
1816C22⋊C4—54no—
1817C22⋊C4—54no—
1818C22⋊C4—54no—
1819C22⋊C4—54no—
1820C22⋊C4—54no—
1821C22⋊C4—54no—
1822C22⋊C4—54no—
1823C22⋊C4—54no—
1824C22⋊C4—52no—
1825C22⋊C4—52no—
1826C22⋊C4—54no—
1827C22⋊C4—54no—
1828C22⋊C4—54no—
1829C22⋊C4—54no—
1830C22⋊C4—54no—
1831C22⋊C4—54no—
1832C22⋊C4—54no—
1833C22⋊C4—54no—
1834C22⋊C4—54no—
1835C22⋊C4—54no—
1836C22⋊C4—54no—
1837C22⋊C4—54no—
1838C22⋊C4—54no—
1839C22⋊C4—54no—
1840C22⋊C4—54no—
1841C22⋊C4—54no—
1842C22⋊C4—54no—
1843C22⋊C4—54no—
1844C22⋊C4—54no—
1845C22⋊C4—54no—
1846C22⋊C4—54no—
1847C22⋊C4—54no—
1848C22⋊C4—54no—
1849C22⋊C4C23×D514yes—
1850C22⋊C4C23×D514yes—
1851C22⋊C4C23×D514yes—
1852C22⋊C4C23×D514yes—
1853C22⋊C4C23×D514yes—
1854C22⋊C4C23×D514yes—
1855C22⋊C4C23×D514yes—
1856C22⋊C4C23×D514yes—
1857C22⋊C4C23×D514yes—
1858C22⋊C4C23×D512yes—
1859C22⋊C4C23×D512yes—
1860C22⋊C4C23×D514yes—
1861C42—51no—
1862C42—52no—
1863C42—52no—
1864C42—52no—
1865C42—52no—
1866C42—51no—
1867C42—52no—
1868C42—52no—
1869C42—51no—
1870C42—51no—
1871C42—54no—
1872C42—54no—
1873C42—54no—
1874C42—54no—
1875C42—52no—
1876C42—54no—
1877C42—52no—
1878C42—54no—
1879C42C23×D512yes—
1880C42C23×D512yes—
1881C2×C5—22no—
1882C2×C5—24no—
1883C2×C5—42no—
1884C2×C5—44no—
1885C2×C5—42no—
1886C2×C5C22×H(5,𝔽2)11yescharacteristic
1887C2×C5C2×#58512yes—
1888D5—44no—
1889D5—44no—
1890C23—22no—
1891C23—22no—
1892C23—24no—
1893C23—42no—
1894C23—42no—
1895C23—42no—
1896C23—42no—
1897C23—42no—
1898C23—42no—
1899C23—44no—
1900C23—54no—
1901C23—54no—
1902C23—104no—
1903C23—104no—
1904C23—202no—
1905C23—202no—
1906C23—202no—
1907C23—202no—
1908C23—202no—
1909C23—204no—
1910C23—204no—
1911C23—204no—
1912C23—204no—
1913C23#414414yes—
1914C23C24×D512yes—
1915C23C24×D514yes—
1916C23C24×D512yes—
1917C23C24×D511yescharacteristic
1918C23C24×D512yes—
1919Q8—42no—
1920Q8—42no—
1921Q8—42no—
1922Q8—108no—
1923Q8—202no—
1924Q8—202no—
1925Q8—204no—
1926Q8—204no—
1927Q8—202no—
1928D4—28no—
1929D4—28no—
1930D4—28no—
1931D4—28no—
1932D4—42no—
1933D4—44no—
1934D4—42no—
1935D4—42no—
1936D4—44no—
1937D4—44no—
1938D4—108no—
1939D4—108no—
1940D4—108no—
1941D4—108no—
1942D4—108no—
1943D4—108no—
1944D4—108no—
1945D4—204no—
1946D4—202no—
1947D4—202no—
1948D4—202no—
1949D4—204no—
1950D4—204no—
1951D4—204no—
1952D4—204no—
1953D4—204no—
1954D4—204no—
1955D4—204no—
1956D4—204no—
1957D4—204no—
1958D4—204no—
1959D4—204no—
1960D4—204no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—24no—
1964C2×C4—24no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—24no—
1968C2×C4—44no—
1969C2×C4—44no—
1970C2×C4—42no—
1971C2×C4—44no—
1972C2×C4—42no—
1973C2×C4—42no—
1974C2×C4—44no—
1975C2×C4—52no—
1976C2×C4—52no—
1977C2×C4—52no—
1978C2×C4—54no—
1979C2×C4—52no—
1980C2×C4—54no—
1981C2×C4—54no—
1982C2×C4—54no—
1983C2×C4—108no—
1984C2×C4—104no—
1985C2×C4—104no—
1986C2×C4—104no—
1987C2×C4—108no—
1988C2×C4—104no—
1989C2×C4—104no—
1990C2×C4—204no—
1991C2×C4—204no—
1992C2×C4—204no—
1993C2×C4—204no—
1994C2×C4—204no—
1995C2×C4—204no—
1996C2×C4—204no—
1997C2×C4—204no—
1998C2×C4—204no—
1999C2×C4—202no—
2000C2×C4—202no—
2001C2×C4—202no—
2002C2×C4—202no—
2003C2×C4—202no—
2004C2×C4—204no—
2005C2×C4—202no—
2006C2×C4—204no—
2007C2×C4C24×D512yes—
2008C2×C4C24×D511yescharacteristic
2009C2×C4C24×D511yescharacteristic
2010C2×C4C24×D514yes—
2011C2×C4C24×D512yes—
2012C2×C4C24×D514yes—
2013C2×C4C24×D514yes—
2014C2×C4C24×D512yes—
2015C5#6282211yescharacteristic, complemented, Sylow
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—24no—
2022C22—24no—
2023C22—24no—
2024C22—24no—
2025C22—24no—
2026C22—44no—
2027C22—82no—
2028C22—82no—
2029C22—84no—
2030C22—104no—
2031C22—104no—
2032C22—104no—
2033C22—104no—
2034C22—104no—
2035C22—104no—
2036C22—162no—
2037C22—404no—
2038C22—404no—
2039C22—804no—
2040C22—802no—
2041C22C2×#414412yes—
2042C22C2×#414414yes—
2043C22C25×D511yescharacteristic
2044C4—22no—
2045C4—21no—
2046C4—21no—
2047C4—22no—
2048C4—24no—
2049C4—22no—
2050C4—24no—
2051C4—24no—
2052C4—54no—
2053C4—104no—
2054C4—104no—
2055C4—102no—
2056C4—104no—
2057C4—102no—
2058C4—102no—
2059C4—104no—
2060C2—22no—
2061C2—24no—
2062C2—44no—
2063C2—42no—
2064C2—42no—
2065C2—204no—
2066C2—204no—
2067C2C22×#414411yescharacteristic
2068C2D5×#58512yes—
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3485C2
hypercenter#3485D5
hypocenterC5#62822
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3485

Complements

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

NH ≅ G/Ntype
1. C5×#3485C2semidirect
2. #10619182C2semidirect
3. #10619174C2semidirect
4. C2×#66166C2semidirect
5. #10618598C2semidirect
6. #10618596C2semidirect
7. #10618589C2semidirect
8. #10618579C2semidirect
9. #10618557C2semidirect
10. #10618556C2semidirect
11. #10618540C2semidirect
12. #10618532C2semidirect
13. #10618248C2semidirect
14. #10618247C2semidirect
15. #10618205C2semidirect
16. #10618204C2semidirect
17. #10618200C2semidirect
18. #10618199C2semidirect
19. #10617946C2semidirect
20. #10617914C2semidirect
21. #10617913C2semidirect
22. C2×#65983C2semidirect
23. #10617762C2semidirect
24. C2×C5×H(5,𝔽2)C22semidirect
25. C22×C5×#41C22semidirect
26. C2×#4144C22semidirect
27. C2×#4144C22semidirect
28. C22×#709C22semidirect
29. C5×#547C22semidirect
30. C5×#547C22semidirect
31. C5×#546C22semidirect
32. C5×#546C22semidirect
33. C5×#536C22semidirect
34. C5×#534C22semidirect
35. C5×#534C22semidirect
36. C5×#525C22semidirect
37. C2×C5×#123C22semidirect
38. C2×C5×#123C22semidirect
39. C5×#518C22semidirect
40. #66167C22semidirect
41. #66166C22semidirect
42. #66166C22semidirect
43. #66166C22semidirect
44. #66166C22semidirect
45. #66166C22semidirect
46. #66163C22semidirect
47. #66163C22semidirect
48. #66163C22semidirect
49. #66163C22semidirect
50. #66158C22semidirect
51. #66158C22semidirect
52. #66158C22semidirect
53. #66158C22semidirect
54. #66150C22semidirect
55. C2×#4093C22semidirect
56. C2×#4090C22semidirect
57. #66140C22semidirect
58. #66140C22semidirect
59. #66138C22semidirect
60. #66138C22semidirect
61. #66138C22semidirect
62. #66138C22semidirect
63. C2×#4086C22semidirect
65. C2×#4085C22semidirect
66. C2×#4085C22semidirect
67. C2×#4085C22semidirect
68. D4×C22⋊D5C22semidirect
69. D4×C22⋊D5C22semidirect
70. #66132C22semidirect
71. C2×#4082C22semidirect
72. C2×D4×Dic5C22semidirect
73. #66125C22semidirect
74. C2×#4075C22semidirect
75. C2×#4075C22semidirect
76. C2×C4×C22⋊D5C22semidirect
77. C2×C4×C22⋊D5C22semidirect
78. C22×C4×Dic5C22semidirect
79. #66069C22semidirect
80. #66069C22semidirect
81. #66068C22semidirect
82. #66067C22semidirect
83. #66063C22semidirect
84. #66056C22semidirect
85. #66017C22semidirect
86. #66012C22semidirect
87. #66006C22semidirect
88. #66004C22semidirect
89. #66004C22semidirect
90. #66003C22semidirect
91. #66000C22semidirect
92. #65999C22semidirect
93. #65998C22semidirect
94. #65998C22semidirect
95. #65997C22semidirect
96. #65997C22semidirect
97. #65996C22semidirect
98. #65996C22semidirect
99. #65995C22semidirect
100. #65995C22semidirect
101. #65994C22semidirect
102. #65993C22semidirect
103. #65993C22semidirect
104. #65992C22semidirect
105. #65991C22semidirect
106. #65990C22semidirect
107. #65989C22semidirect
108. #65989C22semidirect
109. #65989C22semidirect
110. #65989C22semidirect
111. #65988C22semidirect
112. #65988C22semidirect
113. #65988C22semidirect
114. #65988C22semidirect
115. #65987C22semidirect
116. D5×#123C22semidirect
117. #65985C22semidirect
118. #65984C22semidirect
119. #65983C22semidirect
120. #65983C22semidirect
121. #65983C22semidirect
122. #65983C22semidirect
123. #65983C22semidirect
124. #65983C22semidirect
125. #65983C22semidirect
126. #65983C22semidirect
127. #65983C22semidirect
128. #65982C22semidirect
129. #65981C22semidirect
130. #65980C22semidirect
131. #65978C22semidirect
132. #65974C22semidirect
133. #65974C22semidirect
134. #65974C22semidirect
135. #65972C22semidirect
136. #65971C22semidirect
137. #65971C22semidirect
138. #65970C22semidirect
139. #65970C22semidirect
140. #65957C22semidirect
141. #65955C22semidirect
142. #65954C22semidirect
143. #65952C22semidirect
144. #65950C22semidirect
145. #65949C22semidirect
146. #65949C22semidirect
147. #65947C22semidirect
148. #65947C22semidirect
149. #65944C22semidirect
150. #65941C22semidirect
151. #65939C22semidirect
152. D5×#121C22semidirect
153. #65937C22semidirect
154. #65935C22semidirect
155. #65935C22semidirect
156. #65935C22semidirect
157. #65933C22semidirect
158. #65932C22semidirect
159. #65931C22semidirect
160. #65930C22semidirect
161. #65929C22semidirect
162. #65928C22semidirect
163. #65927C22semidirect
164. #65927C22semidirect
165. #65926C22semidirect
166. #65925C22semidirect
167. #65925C22semidirect
168. #65925C22semidirect
169. #65924C22semidirect
170. #65924C22semidirect
171. #65924C22semidirect
172. #65921C22semidirect
173. #65921C22semidirect
174. #65920C22semidirect
175. #65899C22semidirect
176. #65898C22semidirect
177. #65898C22semidirect
178. #65894C22semidirect
179. #65894C22semidirect
180. #65893C22semidirect
181. #65892C22semidirect
182. #65890C22semidirect
183. #65886C22semidirect
184. #65881C22semidirect
185. #65880C22semidirect
186. #65879C22semidirect
187. #65874C22semidirect
188. #65874C22semidirect
189. #65874C22semidirect
190. #65872C22semidirect
191. #65865C22semidirect
192. #65861C22semidirect
193. #65849C22semidirect
194. #65848C22semidirect
195. C2×#4044C22semidirect
196. #65845C22semidirect
197. #65841C22semidirect
198. #65841C22semidirect
199. #65838C22semidirect
200. C2×#4038C22semidirect
201. C2×#4035C22semidirect
202. C2×#4033C22semidirect
203. #65829C22semidirect
204. #65829C22semidirect
205. #65828C22semidirect
206. #65827C22semidirect
207. C2×#4031C22semidirect
208. #65824C22semidirect
209. #65824C22semidirect
210. #65824C22semidirect
211. #65824C22semidirect
212. #65820C22semidirect
213. #65820C22semidirect
214. C2×#4027C22semidirect
215. C2×#4027C22semidirect
216. C2×#4025C22semidirect
217. C2×#4024C22semidirect
218. C2×#4023C22semidirect
640. #3485D5semidirect
882. C2×H(5,𝔽2)C2×D5semidirect
884. C22×#41C2×D5semidirect
946. #547C2×D5semidirect
947. #547C2×D5semidirect
966. #546C2×D5semidirect
967. #546C2×D5semidirect
1007. #536C2×D5semidirect
1017. #534C2×D5semidirect
1018. #534C2×D5semidirect
1047. #525C2×D5semidirect
1051. C2×#123C2×D5semidirect
1052. C2×#123C2×D5semidirect
1065. #518C2×D5semidirect
2015. C5#62822semidirect

Maximal subgroups

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

subgroupindex
C5×#34852
#106191822
#106191742
C2×#661662
#106185982
#106185962
#106185892
#106185792
#106185572
#106185562
#106185402
#106185322
#106182482
#106182472
#106182052
#106182042
#106182002
#106181992
#106179462
#106179142
#106179132
C2×#659832
#106177622
#628225