Finite Group Databasebeta

← #12981680

Subgroups — #12981680

Order 1280.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10618582C211yesmaximal, characteristic, complemented
2#10618535C211yesmaximal, characteristic, complemented
3C5×#3306C211yesmaximal, characteristic, complemented
4#10615247C211yesmaximal, characteristic, complemented
5#10615236C211yesmaximal, characteristic, complemented
6#10613403C211yesmaximal, characteristic, complemented
7#10613398C211yesmaximal, characteristic, complemented
8#10613167C211yesmaximal, characteristic, complemented
9#10613146C211yesmaximal, characteristic, complemented
10#10613065C211yesmaximal, characteristic, complemented
11#10613043C211yesmaximal, characteristic, complemented
12#10612785C211yesmaximal, characteristic, complemented
13#10612779C211yesmaximal, characteristic, complemented
14#10612609C211yesmaximal, characteristic, complemented
15#10612581C211yesmaximal, characteristic, complemented
16#10612416C211yesmaximal, characteristic, complemented
17#10612364C211yesmaximal, characteristic, complemented
18#10612256C211yesmaximal, characteristic, complemented
19#10612240C211yesmaximal, characteristic, complemented
20#10611832C211yesmaximal, characteristic, complemented
21#10611804C211yesmaximal, characteristic, complemented
22#10611755C211yesmaximal, characteristic, complemented
23#10611722C211yesmaximal, characteristic, complemented
24#10611598C211yesmaximal, characteristic, complemented
25#10611583C211yesmaximal, characteristic, complemented
26#10611230C211yesmaximal, characteristic, complemented
27#10611185C211yesmaximal, characteristic, complemented
28#10610633C211yesmaximal, characteristic, complemented
29#10610599C211yesmaximal, characteristic, complemented
30#10610493C211yesmaximal, characteristic, complemented
31C2×#65045C211yesmaximal, characteristic, complemented
32C5×#547C2211yescharacteristic, complemented
33C5×#546C2211yescharacteristic, complemented
34#66163—21no—
35#66163C2211yescharacteristic, complemented
36#66162—21no—
37#66161C2211yescharacteristic, complemented
38C2×#4096C2211yescharacteristic
39D4×C22⋊D5C2211yescharacteristic
40C2×D4×Dic5C2211yescharacteristic, complemented
41C22×#686C2211yescharacteristic
42C2×D5×D8C2211yescharacteristic
43#66067C2211yescharacteristic, complemented
44#66064C2211yescharacteristic, complemented
45#66016C2211yescharacteristic, complemented
46#66015C2211yescharacteristic, complemented
47#65999—21no—
48#65995—21no—
49#65992—21no—
50#65992—21no—
51#65991—21no—
52D5×#123—21no—
53#65976C2211yescharacteristic
54#65972—21no—
55#65971—21no—
56#65958C2211yescharacteristic, complemented
57#65953C2211yescharacteristic, complemented
58#65953C2211yescharacteristic, complemented
59#65952—21no—
60#65952C2211yescharacteristic, complemented
61#65951—21no—
62#65946C2211yescharacteristic, complemented
63#65943C2211yescharacteristic
64#65934C2211yescharacteristic, complemented
65#65925—21no—
66#65920—21no—
67#65893C2211yescharacteristic, complemented
68#65889C2211yescharacteristic, complemented
69#65884C2211yescharacteristic, complemented
70#65879C2211yescharacteristic, complemented
71#65879C2211yescharacteristic, complemented
72#65877C2211yescharacteristic, complemented
73#65872C2211yescharacteristic
74#65848C2211yescharacteristic, complemented
75#65847C2211yescharacteristic
76#65838C2211yescharacteristic, complemented
77C2×#4039C2211yescharacteristic, complemented
78#65829—21no—
79C2×#4032—21no—
80C5×#489C2211yescharacteristic, complemented
81C5×#483C2211yescharacteristic, complemented
82C5×#481C2211yescharacteristic, complemented
83C5×#476C2211yescharacteristic, complemented
84C5×#469C2211yescharacteristic, complemented
85C5×#465C2211yescharacteristic, complemented
86C5×#463C2211yescharacteristic, complemented
87C5×#449C2211yescharacteristic, complemented
88C5×#447C2211yescharacteristic
89C5×#442C2211yescharacteristic, complemented
90C5×#435C2211yescharacteristic, complemented
91C5×#417C2211yescharacteristic, complemented
92C2×C5×#102C2211yescharacteristic, complemented
93#65527C2211yescharacteristic, complemented
94#65507C2211yescharacteristic, complemented
95#65458C2211yescharacteristic, complemented
96#65457C2211yescharacteristic, complemented
97#65452C2211yescharacteristic, complemented
98SD16×Dic5C2211yescharacteristic, complemented
99#65445C2211yescharacteristic
100#65442C2211yescharacteristic, complemented
101#65442C2211yescharacteristic, complemented
102#65441C2211yescharacteristic, complemented
103#65441C2211yescharacteristic, complemented
104#65440C2211yescharacteristic
105#65439C2211yescharacteristic
106#65424C2211yescharacteristic, complemented
107#65422C2211yescharacteristic, complemented
108#65417C2211yescharacteristic, complemented
109#65411C2211yescharacteristic, complemented
110#65403C2211yescharacteristic, complemented
111C2×#3953C2211yescharacteristic, complemented
112#65400C2211yescharacteristic
113C2×C8×Dic5C2211yescharacteristic, complemented
114#65376C2211yescharacteristic, complemented
115#65367C2211yescharacteristic, complemented
116#65348C2211yescharacteristic, complemented
117#65346C2211yescharacteristic, complemented
118#65340C2211yescharacteristic, complemented
119#65335C2211yescharacteristic, complemented
120#65327C2211yescharacteristic
121#65327C2211yescharacteristic, complemented
122#65327C2211yescharacteristic, complemented
123#65326C2211yescharacteristic, complemented
124#65322C2211yescharacteristic, complemented
125#65322C2211yescharacteristic, complemented
126#65305C2211yescharacteristic, complemented
127C4×#686C2211yescharacteristic
128C4×#686C2211yescharacteristic, complemented
129D4×#168C2211yescharacteristic, complemented
130#65296C2211yescharacteristic, complemented
131#65256C2211yescharacteristic, complemented
132#65256C2211yescharacteristic, complemented
133C2×#3939C2211yescharacteristic, complemented
134C2×#3939C2211yescharacteristic, complemented
135#65160C2211yescharacteristic, complemented
136#65160C2211yescharacteristic, complemented
137#65160C2211yescharacteristic, complemented
138#65158C2211yescharacteristic, complemented
139#65158C2211yescharacteristic, complemented
140#65156C2211yescharacteristic, complemented
141#65155C2211yescharacteristic, complemented
142#65149C2211yescharacteristic, complemented
143#65147C2211yescharacteristic, complemented
144#65147C2211yescharacteristic, complemented
145#65146C2211yescharacteristic, complemented
146#65141C2211yescharacteristic, complemented
147#65133C2211yescharacteristic, complemented
148#65131C2211yescharacteristic, complemented
149#65129C2211yescharacteristic, complemented
150#65119C2211yescharacteristic, complemented
151#65108C2211yescharacteristic, complemented
152#65108C2211yescharacteristic, complemented
153#65106C2211yescharacteristic, complemented
154#65106C2211yescharacteristic, complemented
155#65106C2211yescharacteristic, complemented
156#65104C2211yescharacteristic, complemented
157#65102C2211yescharacteristic, complemented
158#65101C2211yescharacteristic, complemented
159#65089C2211yescharacteristic, complemented
160#65088C2211yescharacteristic, complemented
161#65079C2211yescharacteristic, complemented
162#65079C2211yescharacteristic, complemented
163#65075C2211yescharacteristic
164#65069C2211yescharacteristic, complemented
165#65068C2211yescharacteristic, complemented
166#65065C2211yescharacteristic, complemented
167#65064C2211yescharacteristic
168#65062C2211yescharacteristic
169#65059C2211yescharacteristic, complemented
170#65059C2211yescharacteristic, complemented
171#65057C2211yescharacteristic, complemented
172#65053C2211yescharacteristic, complemented
173#65053C2211yescharacteristic, complemented
174#65052C2211yescharacteristic, complemented
175#65052C2211yescharacteristic, complemented
176#65052C2211yescharacteristic, complemented
177#65051C2211yescharacteristic, complemented
178#65046C2211yescharacteristic, complemented
179#65046C2211yescharacteristic, complemented
180#65046C2211yescharacteristic, complemented
181#65045C2211yescharacteristic
182#65045C2211yescharacteristic
183#65045C2211yescharacteristic
184#65045C2211yescharacteristic, complemented
185#65045C2211yescharacteristic, complemented
186#65045C2211yescharacteristic, complemented
187#65045C2211yescharacteristic, complemented
188#65045C2211yescharacteristic, complemented
189#65045C2211yescharacteristic, complemented
190#65045C2211yescharacteristic, complemented
191#65024C2211yescharacteristic, complemented
192#65023C2211yescharacteristic, complemented
193#65021C2211yescharacteristic
194#65014C2211yescharacteristic
195#65014C2211yescharacteristic, complemented
196#65010C2211yescharacteristic, complemented
197#65009C2211yescharacteristic, complemented
198#65008C2211yescharacteristic, complemented
199#65003C2211yescharacteristic, complemented
200#65000C2211yescharacteristic, complemented
201#64997C2211yescharacteristic, complemented
202#64990C2211yescharacteristic, complemented
203#61471—51nomaximal, Sylow
204C2×C5×#41—21no—
205C2×C5×#41C2311yescharacteristic
206C22×C5×D4C2311yescharacteristic
207C22×C22⋊D5—21no—
208C23×Dic5—21no—
209C2×#711—21no—
210C2×D4×D5—21no—
211C2×D4×D5C2311yescharacteristic
212C2×D4×D5C2311yescharacteristic
213C2×#709C2311yescharacteristic
214C22×D20C2311yescharacteristic
215C22×C4×D5—21no—
216C2×C5×SD16C2311yescharacteristic
217C2×C5×D8C2311yescharacteristic
218C2×C5×D8C2311yescharacteristic
219C2×C5×M16C2311yescharacteristic
220C22×C5×C8C2311yescharacteristic
221C5×C4⋊Q8C2311yescharacteristic
222C5×#124C2311yescharacteristic
223C5×#123—21no—
224C5×#123—21no—
225C5×#123—21no—
226C5×C22⋊Q8—21no—
227C5×C22⋊Q8C2311yescharacteristic
228C5×#121—21no—
229C5×#121C2311yescharacteristic
230C5×#121C2311yescharacteristic
231C5×#121C2311yescharacteristic
232C5×#120—21no—
233C4×C5×D4C2311yescharacteristic
234C4×C5×D4C2311yescharacteristic
235C4×C5×D4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4—21no—
239#4099—21no—
240C2×C22⋊Dic5—21no—
241#4096—24no—
242#4093—21no—
243#4093C2311yescharacteristic
244#4092—21no—
245#4092—21no—
246#4092—21no—
247#4092C2311yescharacteristic
248Q8×Dic5C2311yescharacteristic
249Q8×Dic5C2311yescharacteristic
250C2×#689C2311yescharacteristic
251C2×#688C2311yescharacteristic
252C2×#688C2311yescharacteristic
253#4086C2311yescharacteristic
254#4086C2311yescharacteristic
255#4085—21no—
256#4085—21no—
257#4085—21no—
258#4085—21no—
259#4085—21no—
260#4085D411yescharacteristic
261#4084—21no—
262#4084—21no—
263#4084—21no—
264#4084C2311yescharacteristic
265#4083—21no—
266#4083—21no—
267#4083—21no—
268#4083—21no—
269#4083—21no—
270#4082C2311yescharacteristic
271#4081—21no—
272#4081D411yescharacteristic
273D4×Dic5—21no—
274D4×Dic5—21no—
275D4×Dic5—21no—
276D4×Dic5—21no—
277D4×Dic5—21no—
278D4×Dic5—21no—
279D4×Dic5C2311yescharacteristic
280D4×Dic5C2311yescharacteristic
281D4×Dic5C2311yescharacteristic
282D4×Dic5C2311yescharacteristic
283D4×Dic5C2311yescharacteristic
284D4×Dic5C2311yescharacteristic
285C2×#687C2311yescharacteristic
286C2×#687C2311yescharacteristic
287C2×#686—24no—
288C2×#686C2311yescharacteristic
289C2×#686C2311yescharacteristic
290C2×#686C2311yescharacteristic
291C2×#686C2311yescharacteristic
292C2×#686C2311yescharacteristic
293#4076—21no—
294#4076C2311yescharacteristic
295#4076C2311yescharacteristic
296#4076C2311yescharacteristic
297#4075—21no—
298#4075—21no—
299#4075—21no—
300C4×C22⋊D5—21no—
301C4×C22⋊D5—21no—
302C4×C22⋊D5—21no—
303C4×C22⋊D5—21no—
304C4×C22⋊D5—21no—
305C4×C22⋊D5—21no—
306C4×C22⋊D5C2311yescharacteristic
307C4×C22⋊D5C2311yescharacteristic
308C2×#685—21no—
309C2×#685—21no—
310C2×#685—21no—
311C2×#685—21no—
312#4072—21no—
313#4072—21no—
314#4072C2311yescharacteristic
315C2×C4⋊Dic5—21no—
316C2×C4⋊Dic5—21no—
317C2×C4⋊Dic5C2311yescharacteristic
318C2×C4⋊Dic5C2311yescharacteristic
319#4070—21no—
320#4070C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C22×#168C2311yescharacteristic
323C22×#168C2311yescharacteristic
324D5×D8—24no—
325C2×D40C2311yescharacteristic
326C2×D40C2311yescharacteristic
327C2×#677C2311yescharacteristic
328C2×#676C2311yescharacteristic
329C2×C8×D5C2311yescharacteristic
330#4044—21no—
331#4044—21no—
332#4044—21no—
333#4044—21no—
334#4044—21no—
335#4044D411yescharacteristic
336#4043—21no—
337#4043—21no—
338#4043C2311yescharacteristic
339#4041C2311yescharacteristic
340#4040—21no—
341#4040—21no—
342#4040—21no—
343#4039—21no—
344#4039—21no—
345#4039C2311yescharacteristic
346#4039C2311yescharacteristic
347#4039C2311yescharacteristic
348#4039C2311yescharacteristic
349#4039C2311yescharacteristic
350#4039C2311yescharacteristic
351#4038—21no—
352#4038—21no—
353#4038C2311yescharacteristic
354#4038C2311yescharacteristic
355D5×C4⋊C4—21no—
356D5×C4⋊C4—21no—
357#4036—21no—
358#4036C2311yescharacteristic
359#4036C2311yescharacteristic
360#4036C2311yescharacteristic
361#4036C2311yescharacteristic
362#4035—21no—
363#4035D411yescharacteristic
364#4033C2311yescharacteristic
365#4033C2311yescharacteristic
366#4032—21no—
367#4032—21no—
368#4032—21no—
369#4032—21no—
370#4032—21no—
371#4032—21no—
372#4032—21no—
373#4032—21no—
374#4032—21no—
375#4032D411yescharacteristic
376#4031—21no—
377#4031—21no—
378#4031—21no—
379#4031D411yescharacteristic
380#4030—21no—
381#4030—21no—
382#4029—21no—
383#4029—21no—
384#4029—21no—
385#4029—21no—
386#4029—21no—
387#4028—21no—
388#4027—21no—
389#4027—21no—
390#4027—21no—
391#4027—21no—
392D5×C22⋊C4—21no—
393D5×C22⋊C4—21no—
394D5×C22⋊C4—21no—
395D5×C22⋊C4—21no—
396#4025—21no—
397#4025—21no—
398#4025—21no—
399#4025D411yescharacteristic
400#4024—21no—
401#4024—21no—
402#4024—21no—
403#4024D411yescharacteristic
404#4023—21no—
405#4023—21no—
406#4021C2311yescharacteristic
407C4×D20C2311yescharacteristic
408C4×D20C2311yescharacteristic
409#4018C2311yescharacteristic
410#4015C2311yescharacteristic
411C4×Dic10C2311yescharacteristic
412C5×#106C2311yescharacteristic
413C5×#106C2311yescharacteristic
414C5×#106C2311yescharacteristic
415C5×C4⋊C8C2311yescharacteristic
416C5×#103C2311yescharacteristic
417C5×#103C2311yescharacteristic
418C5×#103C2311yescharacteristic
419C5×#102C2311yescharacteristic
420C5×#102C2311yescharacteristic
421C5×#102C2311yescharacteristic
422C5×#102C2311yescharacteristic
423C5×#102C2311yescharacteristic
424C5×#102C2311yescharacteristic
425C5×#102C2311yescharacteristic
426C5×C22⋊C8C2311yescharacteristic
427C5×C22⋊C8C2311yescharacteristic
428C5×#97C2311yescharacteristic
429#3967C2311yescharacteristic
430#3964C2311yescharacteristic
431#3964C2311yescharacteristic
432#3964C2311yescharacteristic
433#3964C2311yescharacteristic
434#3964C2311yescharacteristic
435C22⋊#168C2311yescharacteristic
436C22⋊#168C2311yescharacteristic
437#3953C2311yescharacteristic
438#3953C2311yescharacteristic
439#3953C2311yescharacteristic
440#3953C2311yescharacteristic
441#3953C2311yescharacteristic
442#3953C2311yescharacteristic
443#3953C2311yescharacteristic
444#3952C2311yescharacteristic
445#3952C2311yescharacteristic
446#3949C2311yescharacteristic
447#3949C2311yescharacteristic
448#3949C2311yescharacteristic
449#3948C2311yescharacteristic
450#3948C2311yescharacteristic
451#3948C2311yescharacteristic
452#3947C2311yescharacteristic
453#3947C2311yescharacteristic
454#3947C2311yescharacteristic
455#3946C2311yescharacteristic
456#3946C2311yescharacteristic
457#3946C2311yescharacteristic
458#3946C2311yescharacteristic
459C8×Dic5C2311yescharacteristic
460C8×Dic5C2311yescharacteristic
461C8×Dic5C2311yescharacteristic
462C8×Dic5C2311yescharacteristic
463C8×Dic5C2311yescharacteristic
464#3942C2311yescharacteristic
465#3941C2311yescharacteristic
466#3941C2311yescharacteristic
467#3941C2311yescharacteristic
468#3941C2311yescharacteristic
469#3941C2311yescharacteristic
470#3939C2311yescharacteristic
471#3939C2311yescharacteristic
472#3939C2311yescharacteristic
473#3939C2311yescharacteristic
474#3939C2311yescharacteristic
475#3939C2311yescharacteristic
476#3939C2311yescharacteristic
477#3939C2311yescharacteristic
478#3939C2311yescharacteristic
479#3939C2311yescharacteristic
480C4⋊#168C2311yescharacteristic
481C4×#168C2311yescharacteristic
482#3513—51no—
483#3513—51no—
484#3396—51no—
485#3380—51no—
486#3370—51no—
487#3370—51no—
488#3339—51no—
489#3336—51no—
490#3334—51no—
491#3322—51no—
492#3322—51no—
493#3310—51no—
494#3310—51no—
495#3306—51no—
496#3306D511yescharacteristic, complemented
497#3280—51no—
498#3280—51no—
499D4×D8—51no—
500#3176—51no—
501#3175—51no—
502#3168—51no—
503#3119—51no—
504#3119—51no—
505#3118—51no—
506#3118—51no—
507#3114—51no—
508#3114—51no—
509#2966—51no—
510#2951—51no—
511#2948—51no—
512C2×C4×D8—51no—
513C24×C5—21no—
514C23×D5—21no—
515C23×D5—21no—
516C23×D5—21no—
517C5×#41—22no—
518C5×#41—41no—
519C5×#41—82no—
520C2×C5×Q8—21no—
521C2×C5×Q8C2411yescharacteristic
522C2×C5×D4—22no—
523C2×C5×D4—21no—
524C2×C5×D4—21no—
525C2×C5×D4—21no—
526C2×C5×D4—21no—
527C2×C5×D4—21no—
528C2×C5×D4—41no—
529C2×C5×D4C2×D411yescharacteristic
530C2×C5×D4C2411yescharacteristic
531C2×C5×D4C2411yescharacteristic
532C2×C5×D4C2411yescharacteristic
533C22×C4×C5—21no—
534C22×C4×C5—21no—
535C22×C4×C5—21no—
536C22×C4×C5—21no—
537C22×C4×C5—21no—
538C22×C4×C5C2411yescharacteristic
539C22×C4×C5C2411yescharacteristic
540C2×C22⋊D5—21no—
541C2×C22⋊D5—21no—
542C2×C22⋊D5—21no—
543C2×C22⋊D5—21no—
544C2×C22⋊D5—21no—
545C2×C22⋊D5—21no—
546C2×C22⋊D5—21no—
547C2×C22⋊D5—21no—
548C2×C22⋊D5—21no—
549C2×C22⋊D5—21no—
550C2×C22⋊D5—21no—
551C2×C22⋊D5—82no—
552C2×C22⋊D5C2×D411yescharacteristic
553C2×C22⋊D5C2×D411yescharacteristic
554C22×Dic5—21no—
555C22×Dic5—21no—
556C22×Dic5—21no—
557C22×Dic5—21no—
558C22×Dic5—21no—
559C22×Dic5—21no—
560C22×Dic5—21no—
561C22×Dic5—21no—
562C22×Dic5—82no—
563C22×Dic5C2×D411yescharacteristic
564C22×Dic5C2×D411yescharacteristic
565#711—82no—
566D4×D5—22no—
567D4×D5—22no—
568D4×D5—41no—
569D4×D5—41no—
570D4×D5—82no—
571#709—22no—
572#709—41no—
573C2×D20—22no—
574C2×D20—21no—
575C2×D20—21no—
576C2×D20—41no—
577C2×D20C2411yescharacteristic
578C2×D20C2411yescharacteristic
579C2×D20C2411yescharacteristic
580C2×C4×D5—21no—
581C2×C4×D5—21no—
582C2×C4×D5—21no—
583C2×C4×D5—21no—
584C2×C4×D5—21no—
585C2×C4×D5—21no—
586C2×C4×D5—21no—
587C2×C4×D5—21no—
588C2×C4×D5—21no—
589C2×C4×D5—82no—
590C2×C4×D5C2411yescharacteristic
591C2×Dic10—21no—
592C2×Dic10C2×D411yescharacteristic
593C2×Dic10C2411yescharacteristic
594C5×SD16—41no—
595C5×D8—22no—
596C5×D8—41no—
597C5×M16—41no—
598C2×C5×C8—41no—
599C2×C5×C8C2411yescharacteristic
600C2×C5×C8C2411yescharacteristic
601C2×C5×C8C2411yescharacteristic
602C2×C5×C8C2411yescharacteristic
603C5×C4⋊C4—21no—
604C5×C4⋊C4—21no—
605C5×C4⋊C4—21no—
606C5×C4⋊C4—21no—
607C5×C4⋊C4C2×D411yescharacteristic
608C5×C4⋊C4C2411yescharacteristic
609C5×C4⋊C4C2411yescharacteristic
610C5×C4⋊C4C2411yescharacteristic
611C5×C4⋊C4C2411yescharacteristic
612C5×C22⋊C4—21no—
613C5×C22⋊C4—21no—
614C5×C22⋊C4—21no—
615C5×C22⋊C4—21no—
616C5×C22⋊C4—21no—
617C5×C22⋊C4—21no—
618C5×C22⋊C4—21no—
619C5×C22⋊C4—21no—
620C5×C22⋊C4C2×D411yescharacteristic
621C5×C22⋊C4C2×D411yescharacteristic
622C42×C5C2411yescharacteristic
623C22⋊Dic5—21no—
624C22⋊Dic5—21no—
625C22⋊Dic5—21no—
626C22⋊Dic5—21no—
627C22⋊Dic5—21no—
628C22⋊Dic5—21no—
629C22⋊Dic5—21no—
630C22⋊Dic5—21no—
631C22⋊Dic5—21no—
632C22⋊Dic5—21no—
633C22⋊Dic5C2×D411yescharacteristic
634C22⋊Dic5C2×D411yescharacteristic
635C22⋊Dic5C2×D411yescharacteristic
636C22⋊Dic5C2×D411yescharacteristic
637#689—22no—
638#688—22no—
639#688—41no—
640#687—22no—
641#687—41no—
642#686—22no—
643#686—22no—
644#686—22no—
645#686—22no—
646#686#4114yescomplemented
647#685—21no—
648#685—21no—
649#685—21no—
650#685—21no—
651#685—21no—
652#685—21no—
653#685—21no—
654#685—21no—
655#685—21no—
656#685—21no—
657#685—21no—
658#685—21no—
659#685—21no—
660#685—21no—
661#685—21no—
662#685—21no—
663#685—21no—
664#685—21no—
665#685—21no—
666#685—21no—
667#685C2×D411yescharacteristic
668#685C2×D411yescharacteristic
669#685C2×D411yescharacteristic
670#685C2×D411yescharacteristic
671C4⋊Dic5—21no—
672C4⋊Dic5—21no—
673C4⋊Dic5—21no—
674C4⋊Dic5—21no—
675C4⋊Dic5—21no—
676C4⋊Dic5—21no—
677C4⋊Dic5—21no—
678C4⋊Dic5—21no—
679C4⋊Dic5—21no—
680C4⋊Dic5—21no—
681C4⋊Dic5C2×D411yescharacteristic
682C4⋊Dic5C2×D411yescharacteristic
683C4⋊Dic5C2×D411yescharacteristic
684C4⋊Dic5C2411yescharacteristic
685C4⋊Dic5C2411yescharacteristic
686C4⋊Dic5C2411yescharacteristic
687C4⋊Dic5C2411yescharacteristic
688#683—21no—
689#683—21no—
690#683—21no—
691#683—21no—
692#683—21no—
693#683—21no—
694#683—21no—
695#683—21no—
696#683C2×D411yescharacteristic
697#683C2×D411yescharacteristic
698#683C2×D411yescharacteristic
699#683C2×D411yescharacteristic
700#683C2×D411yescharacteristic
701#683C2×D411yescharacteristic
702C4×Dic5—21no—
703C4×Dic5—21no—
704C4×Dic5—21no—
705C4×Dic5—21no—
706C4×Dic5—21no—
707C4×Dic5—21no—
708C4×Dic5C2×D411yescharacteristic
709C4×Dic5C2×D411yescharacteristic
710C4×Dic5C2411yescharacteristic
711C4×Dic5C2411yescharacteristic
712C4×Dic5C2411yescharacteristic
713C2×#168—22no—
714C2×#168—22no—
715C2×#168C2411yescharacteristic
716C2×#168C2411yescharacteristic
717C2×#168C2411yescharacteristic
718C2×#168C2411yescharacteristic
719D40—22no—
720D40—41no—
721#677—41no—
722#676—41no—
723C8×D5—22no—
724C2×#135—51no—
725C22×D8—51no—
726C22×D8—51no—
727#559—51no—
728#559—51no—
729#554—51no—
730#554—51no—
731#553—51no—
732#553—51no—
733#553—101no—
734#553—101no—
735#552—51no—
736#552—51no—
737#551—101no—
738#551—101no—
739#551—101no—
740#551—101no—
741#547—51no—
742#547C2×D511yescharacteristic, complemented
743#546—51no—
744#546—51no—
745#546—51no—
746#546—101no—
747#546—101no—
748#546C2×D511yescharacteristic, complemented
749D42—51no—
750D42—51no—
751#542—51no—
752#542—51no—
753#540—51no—
754#540—51no—
755#539—101no—
756#539—101no—
757#538—101no—
758#538—101no—
759#529—51no—
760#529—51no—
761#529—51no—
762#525—101no—
763#525—101no—
764C2×#123—101no—
765C2×#123—101no—
766#520—51no—
767#520—51no—
768#518—51no—
769#518—51no—
770C2×C4×D4—51no—
771C2×C4×D4—51no—
772#500—51no—
773#499—51no—
774#499—51no—
775#495—51no—
776#495—51no—
777#493—51no—
778#490—51no—
779#490—51no—
780#489—51no—
781#489C2×D511yescharacteristic, complemented
782#488—51no—
783#488—51no—
784#485—51no—
785#485—51no—
786#483—51no—
787#483C2×D511yescharacteristic, complemented
788#482—51no—
789#482—51no—
790#481—51no—
791#481C2×D511yescharacteristic, complemented
792#480—51no—
793#480—51no—
794#480—51no—
795#480—51no—
796#479—51no—
797#479—51no—
798#478—51no—
799#478—51no—
800#478—51no—
801#478—51no—
802#478—51no—
803#478—51no—
804#476—51no—
805#476C2×D511yescharacteristic, complemented
806#474—51no—
807#474—51no—
808#469—51no—
809#469C2×D511yescharacteristic, complemented
810#468—51no—
811#468—51no—
812#467—51no—
813#467—51no—
814#466—51no—
815#466—51no—
816#466—51no—
817#466—51no—
818#465—51no—
819#465C2×D511yescharacteristic, complemented
820#463—51no—
821#463—51no—
822#463—51no—
823#463—51no—
824#463—51no—
825#463—51no—
826#463—51no—
827#463C2×D511yescharacteristic, complemented
828#460—51no—
829#460—51no—
830#459—51no—
831#459—51no—
832#450—51no—
833#450—51no—
834#450—51no—
835#450—51no—
836#449—51no—
837#449—51no—
838#449—51no—
839#449C2×D511yescharacteristic, complemented
840#447—51no—
841#447—51no—
842#447—51no—
843#447C2×D511yescharacteristic
844#446—51no—
845C8×Q8—51no—
846#442—51no—
847#442—51no—
848#442—51no—
849#442—51no—
850#442—51no—
851#442C2×D511yescharacteristic, complemented
852#440—51no—
853#440—51no—
854#440—51no—
855#440—51no—
856#440—51no—
857#440—51no—
858C4×Q16—51no—
859C4×Q16—51no—
860C4×SD16—51no—
861C4×SD16—51no—
862C4×D8—51no—
863C4×D8—51no—
864C4×D8—51no—
865C4×D8—51no—
866C4×D8—51no—
867C4×D8—51no—
868C4×D8—51no—
869C4×D8—51no—
870C4×D8—51no—
871C4×D8—51no—
872C4×D8—51no—
873C4×D8—51no—
874#436—51no—
875#435—51no—
876#435C2×D511yescharacteristic, complemented
877C8×D4—51no—
878C8×D4—51no—
879C8×D4—51no—
880#433—51no—
881#433—51no—
882#432—51no—
883#427—51no—
884C2×#107—51no—
885C2×#107—51no—
886#418—51no—
887#418—51no—
888#417—51no—
889#417C2×D511yescharacteristic, complemented
890C2×#102—51no—
891C2×#102C2×D511yescharacteristic, complemented
892#405—51no—
893#405—51no—
894C2×C4×C8—51no—
895C23×C5—21no—
896C23×C5—21no—
897C23×C5—21no—
898C23×C5—42no—
899C23×C5—42no—
900C23×C5—81no—
901C23×C5C22×D411yescharacteristic
902C23×C5C22×D411yescharacteristic
903C22×D5—21no—
904C22×D5—21no—
905C22×D5—21no—
906C22×D5—42no—
907C22×D5—42no—
908C22×D5—42no—
909C22×D5—42no—
910C22×D5—81no—
911C22×D5—81no—
912C22×D5—81no—
913C22×D5—81no—
914C22×D5—81no—
915C22×D5C22×D411yescharacteristic
916C5×Q8—21no—
917C5×Q8—21no—
918C5×Q8—81no—
919C5×D4—22no—
920C5×D4—21no—
921C5×D4—21no—
922C5×D4—21no—
923C5×D4—21no—
924C5×D4—21no—
925C5×D4—42no—
926C5×D4—42no—
927C5×D4—42no—
928C5×D4—81no—
929C5×D4—81no—
930C5×D4C2×#4112yes—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—42no—
941C2×C4×C5—42no—
942C2×C4×C5—81no—
943C2×C4×C5—81no—
944C2×C4×C5—81no—
945C2×C4×C5C22×D411yescharacteristic
946C2×C4×C5C22×D411yescharacteristic
947C2×C4×C5C22×D411yescharacteristic
948C2×C4×C5C22×D411yescharacteristic
949C2×C4×C5C2511yescharacteristic
950C22⋊D5—22no—
951C22⋊D5—41no—
952C22⋊D5—42no—
953C22⋊D5—42no—
954C22⋊D5—42no—
955C22⋊D5—42no—
956C22⋊D5—81no—
957C22⋊D5—81no—
958C22⋊D5—81no—
959C22⋊D5—81no—
960C22⋊D5—81no—
961C22⋊D5—81no—
962C22⋊D5—81no—
963C2×Dic5—22no—
964C2×Dic5—21no—
965C2×Dic5—21no—
966C2×Dic5—21no—
967C2×Dic5—21no—
968C2×Dic5—21no—
969C2×Dic5—41no—
970C2×Dic5—42no—
971C2×Dic5—81no—
972C2×Dic5—81no—
973C2×Dic5—81no—
974C2×Dic5—81no—
975C2×Dic5—81no—
976C2×Dic5—81no—
977C2×Dic5—81no—
978C2×Dic5C22×D411yescharacteristic
979C2×Dic5C22×D411yescharacteristic
980C2×Dic5C22×D411yescharacteristic
981C2×Dic5C22×D411yescharacteristic
982C2×Dic5C22×D411yescharacteristic
983C2×Dic5C22×D411yescharacteristic
984C2×Dic5C22×D411yescharacteristic
985D20—21no—
986D20—21no—
987D20—21no—
988D20—21no—
989D20—21no—
990D20—42no—
991D20—81no—
992D20C2×#4112yes—
993C4×D5—21no—
994C4×D5—21no—
995C4×D5—42no—
996C4×D5—81no—
997C4×D5—81no—
998C4×D5—81no—
999C4×D5—81no—
1000C4×D5—81no—
1001C4×D5—81no—
1002C4×D5—81no—
1003C4×D5—81no—
1004Dic10—21no—
1005Dic10—21no—
1006Dic10—41no—
1007Dic10—81no—
1008C5×C8—21no—
1009C5×C8—21no—
1010C5×C8—21no—
1011C5×C8—21no—
1012#168—21no—
1013#168—21no—
1014#168—21no—
1015#168C2×#4112yes—
1016C2×#41—21no—
1017C2×#41—51no—
1018C2×#41—101no—
1019C2×#41C22×D511yescharacteristic
1020C22×D4—51no—
1021C22×D4—51no—
1022C22×D4—51no—
1023C22×D4—101no—
1024C22×D4—101no—
1025C22×D4C22×D511yescharacteristic
1026C23×C4—101no—
1027C23×C4—101no—
1028#135—104no—
1029C2×Q16—51no—
1030C2×SD16—51no—
1031C2×SD16—51no—
1032C2×SD16—51no—
1033C2×SD16—51no—
1034C2×SD16—51no—
1035C2×SD16C22×D511yescharacteristic
1036C2×D8—51no—
1037C2×D8—51no—
1038C2×D8—51no—
1039C2×D8—51no—
1040C2×D8—51no—
1041C2×D8—51no—
1042C2×D8—51no—
1043C2×D8—104no—
1044C2×D8—104no—
1045C2×D8C22×D511yescharacteristic
1046C2×D8C22×D511yescharacteristic
1047C2×M16—51no—
1048C2×M16C22×D511yescharacteristic
1049C22×C8—51no—
1050C22×C8—51no—
1051C22×C8—51no—
1052C22×C8C22×D511yescharacteristic
1053C4⋊Q8—51no—
1054C4⋊Q8C22×D511yescharacteristic
1055#127—51no—
1056#127—51no—
1057#126—51no—
1058#126—51no—
1059#126—101no—
1060#126—101no—
1061#126—101no—
1062#126—101no—
1063#126—101no—
1064#126—101no—
1065#126—101no—
1066#126—101no—
1067#125—51no—
1068#125—51no—
1069#125—51no—
1070#125—51no—
1071#125—51no—
1072#125—101no—
1073#125—101no—
1074#124—51no—
1075#124—51no—
1076#124—51no—
1077#124—51no—
1078#124—101no—
1079#124—101no—
1080#124—101no—
1081#124—101no—
1082#124C22×D511yescharacteristic
1083#123—21no—
1084#123—21no—
1085#123—21no—
1086#123—51no—
1087#123—51no—
1088#123—101no—
1089#123—101no—
1090#123—101no—
1091#123—101no—
1092#123—101no—
1093#123—101no—
1094#123—101no—
1095#123—101no—
1096#123—101no—
1097#123—101no—
1098#123—101no—
1099#123—101no—
1100#123—101no—
1101#123—101no—
1102#123—101no—
1103#123—101no—
1104#123—101no—
1105#123—101no—
1106#123—101no—
1107#123—101no—
1108#123—101no—
1109C22⋊Q8—21no—
1110C22⋊Q8—51no—
1111C22⋊Q8—51no—
1112C22⋊Q8—51no—
1113C22⋊Q8—51no—
1114C22⋊Q8—101no—
1115C22⋊Q8—101no—
1116C22⋊Q8—101no—
1117C22⋊Q8—101no—
1118C22⋊Q8—101no—
1119C22⋊Q8—101no—
1120C22⋊Q8—101no—
1121C22⋊Q8—101no—
1122C22⋊Q8—101no—
1123C22⋊Q8C22×D511yescharacteristic
1124#121—21no—
1125#121—51no—
1126#121—51no—
1127#121—51no—
1128#121—51no—
1129#121—51no—
1130#121—51no—
1131#121—101no—
1132#121—101no—
1133#121—101no—
1134#121—101no—
1135#121—101no—
1136#121—101no—
1137#121—101no—
1138#121—101no—
1139#121—101no—
1140#121—101no—
1141#121—101no—
1142#121C22×D511yescharacteristic
1143#121C22×D511yescharacteristic
1144#121C22×D511yescharacteristic
1145#120—21no—
1146#120—101no—
1147#120—101no—
1148#120—101no—
1149#120—101no—
1150#120—101no—
1151#120—101no—
1152#120—101no—
1153C4×Q8—51no—
1154C4×Q8—51no—
1155C4×Q8—51no—
1156C4×Q8—51no—
1157C4×Q8—51no—
1158C4×D4—51no—
1159C4×D4—51no—
1160C4×D4—51no—
1161C4×D4—51no—
1162C4×D4—51no—
1163C4×D4—51no—
1164C4×D4—51no—
1165C4×D4—51no—
1166C4×D4—51no—
1167C4×D4—51no—
1168C4×D4—51no—
1169C4×D4—51no—
1170C4×D4—51no—
1171C4×D4—51no—
1172C4×D4—51no—
1173C4×D4—51no—
1174C4×D4—101no—
1175C4×D4—101no—
1176C4×D4—101no—
1177C4×D4—101no—
1178C4×D4—101no—
1179C4×D4—101no—
1180C4×D4—101no—
1181C4×D4—101no—
1182C4×D4—101no—
1183C4×D4—101no—
1184C4×D4—101no—
1185C4×D4—101no—
1186C4×D4—101no—
1187C4×D4—101no—
1188C4×D4—101no—
1189C4×D4—101no—
1190C4×D4—101no—
1191C4×D4—101no—
1192C4×D4C22×D511yescharacteristic
1193C4×D4C22×D511yescharacteristic
1194C4×D4C22×D511yescharacteristic
1195#117—51no—
1196#117—51no—
1197#117—51no—
1198#117—51no—
1199#117—101no—
1200#117—101no—
1201#117—101no—
1202#117—101no—
1203#117—101no—
1204#117—101no—
1205C2×C4⋊C4—51no—
1206C2×C4⋊C4—51no—
1207C2×C4⋊C4—101no—
1208C2×C4⋊C4—101no—
1209C2×C4⋊C4—101no—
1210C2×C4⋊C4—101no—
1211C2×C4⋊C4C22×D511yescharacteristic
1212C2×C4⋊C4C22×D511yescharacteristic
1213C2×C22⋊C4—21no—
1214C2×C22⋊C4—101no—
1215C2×C22⋊C4—101no—
1216C2×C22⋊C4—101no—
1217C2×C22⋊C4—101no—
1218C2×C22⋊C4—101no—
1219C2×C22⋊C4—101no—
1220C2×C22⋊C4—101no—
1221C2×C22⋊C4—101no—
1222C2×C22⋊C4—101no—
1223C2×C42—51no—
1224#107—51no—
1225#107—51no—
1226#107—51no—
1227#107—51no—
1228#107—51no—
1229#107—51no—
1230#107—51no—
1231#107—51no—
1232#107—51no—
1233#107—51no—
1234#106—51no—
1235#106—51no—
1236#106—51no—
1237#106C22×D511yescharacteristic
1238#106C22×D511yescharacteristic
1239#106C22×D511yescharacteristic
1240C4⋊C8—51no—
1241C4⋊C8—51no—
1242C4⋊C8—51no—
1243C4⋊C8—51no—
1244C4⋊C8—51no—
1245C4⋊C8C22×D511yescharacteristic
1246#103—51no—
1247#103—51no—
1248#103—51no—
1249#103—51no—
1250#103—51no—
1251#103C22×D511yescharacteristic
1252#103C22×D511yescharacteristic
1253#103C22×D511yescharacteristic
1254#102—51no—
1255#102—51no—
1256#102—51no—
1257#102—51no—
1258#102—51no—
1259#102—51no—
1260#102—51no—
1261#102—51no—
1262#102—51no—
1263#102—51no—
1264#102—51no—
1265#102—51no—
1266#102—51no—
1267#102—51no—
1268#102—51no—
1269#102—51no—
1270#102—51no—
1271#102C22×D511yescharacteristic
1272#102C22×D511yescharacteristic
1273#102C22×D511yescharacteristic
1274#102C22×D511yescharacteristic
1275#102C22×D511yescharacteristic
1276#102C22×D511yescharacteristic
1277#102C22×D511yescharacteristic
1278C22⋊C8—51no—
1279C22⋊C8—51no—
1280C22⋊C8—51no—
1281C22⋊C8—51no—
1282C22⋊C8C22×D511yescharacteristic
1283C22⋊C8C22×D511yescharacteristic
1284#97—51no—
1285#97—51no—
1286#97—51no—
1287#97C22×D511yescharacteristic
1288C4×C8—51no—
1289C4×C8—51no—
1290C4×C8—51no—
1291C4×C8—51no—
1292C4×C8—51no—
1293C4×C8—51no—
1294C22×C5—21no—
1295C22×C5—21no—
1296C22×C5—21no—
1297C22×C5—21no—
1298C22×C5—22no—
1299C22×C5—21no—
1300C22×C5—41no—
1301C22×C5—41no—
1302C22×C5—41no—
1303C22×C5—41no—
1304C22×C5—41no—
1305C22×C5—41no—
1306C22×C5—41no—
1307C22×C5—41no—
1308C22×C5—84no—
1309C22×C5#57612yes—
1310C22×C5C23×D411yescharacteristic
1311C2×D5—21no—
1312C2×D5—21no—
1313C2×D5—22no—
1314C2×D5—21no—
1315C2×D5—41no—
1316C2×D5—41no—
1317C2×D5—41no—
1318C2×D5—41no—
1319C2×D5—41no—
1320C2×D5—41no—
1321C2×D5—41no—
1322C2×D5—41no—
1323C2×D5—84no—
1324C2×D5—162no—
1325C2×D5—162no—
1326C4×C5—21no—
1327C4×C5—21no—
1328C4×C5—21no—
1329C4×C5—21no—
1330C4×C5—41no—
1331C4×C5—41no—
1332C4×C5—41no—
1333C4×C5—41no—
1334C4×C5—41no—
1335C4×C5C22×#4111yescharacteristic
1336C4×C5#58511yescharacteristic
1337Dic5—21no—
1338Dic5—21no—
1339Dic5—21no—
1340Dic5—21no—
1341Dic5—21no—
1342Dic5—21no—
1343Dic5—21no—
1344Dic5—41no—
1345Dic5—41no—
1346Dic5—41no—
1347Dic5—41no—
1348Dic5—41no—
1349C24—21no—
1350C24—101no—
1351C24—101no—
1352C24—101no—
1353#41—22no—
1354#41—41no—
1355#41—82no—
1356#41—102no—
1357#41—201no—
1358#41—402no—
1359C2×Q8—21no—
1360C2×Q8—51no—
1361C2×Q8—51no—
1362C2×Q8—101no—
1363C2×Q8C23×D511yescharacteristic
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—41no—
1371C2×D4—51no—
1372C2×D4—51no—
1373C2×D4—51no—
1374C2×D4—51no—
1375C2×D4—51no—
1376C2×D4—102no—
1377C2×D4—101no—
1378C2×D4—101no—
1379C2×D4—101no—
1380C2×D4—101no—
1381C2×D4—101no—
1382C2×D4—101no—
1383C2×D4—101no—
1384C2×D4—102no—
1385C2×D4—102no—
1386C2×D4—101no—
1387C2×D4—101no—
1388C2×D4—101no—
1389C2×D4—101no—
1390C2×D4—101no—
1391C2×D4—101no—
1392C2×D4—201no—
1393C2×D4—201no—
1394C2×D4—201no—
1395C2×D4—402no—
1396C2×D4—402no—
1397C2×D4D4×D511yescharacteristic
1398C2×D4C23×D511yescharacteristic
1399C2×D4C23×D511yescharacteristic
1400C2×D4C23×D511yescharacteristic
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—51no—
1407C22×C4—51no—
1408C22×C4—51no—
1409C22×C4—101no—
1410C22×C4—101no—
1411C22×C4—101no—
1412C22×C4—101no—
1413C22×C4—101no—
1414C22×C4—101no—
1415C22×C4—101no—
1416C22×C4—101no—
1417C22×C4—101no—
1418C22×C4—101no—
1419C22×C4—101no—
1420C22×C4—101no—
1421C22×C4—101no—
1422C22×C4—101no—
1423C22×C4—101no—
1424C22×C4—101no—
1425C22×C4—101no—
1426C22×C4—402no—
1427C22×C4—402no—
1428C22×C4C23×D511yescharacteristic
1429C22×C4C23×D511yescharacteristic
1430Q16—102no—
1431SD16—41no—
1432SD16—102no—
1433SD16—102no—
1434SD16—201no—
1435SD16—201no—
1436SD16—201no—
1437D8—22no—
1438D8—41no—
1439D8—54no—
1440D8—102no—
1441D8—102no—
1442D8—102no—
1443D8—102no—
1444D8—102no—
1445D8—201no—
1446M16—41no—
1447M16—201no—
1448C2×C8—41no—
1449C2×C8—51no—
1450C2×C8—51no—
1451C2×C8—51no—
1452C2×C8—51no—
1453C2×C8—102no—
1454C2×C8—102no—
1455C2×C8—102no—
1456C2×C8C23×D511yescharacteristic
1457C2×C8C23×D511yescharacteristic
1458C2×C8C23×D511yescharacteristic
1459C2×C8C23×D511yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—51no—
1465C4⋊C4—51no—
1466C4⋊C4—51no—
1467C4⋊C4—51no—
1468C4⋊C4—51no—
1469C4⋊C4—51no—
1470C4⋊C4—51no—
1471C4⋊C4—51no—
1472C4⋊C4—51no—
1473C4⋊C4—51no—
1474C4⋊C4—51no—
1475C4⋊C4—51no—
1476C4⋊C4—51no—
1477C4⋊C4—101no—
1478C4⋊C4—101no—
1479C4⋊C4—101no—
1480C4⋊C4—101no—
1481C4⋊C4—101no—
1482C4⋊C4—101no—
1483C4⋊C4—101no—
1484C4⋊C4—101no—
1485C4⋊C4—101no—
1486C4⋊C4—101no—
1487C4⋊C4—101no—
1488C4⋊C4—101no—
1489C4⋊C4—101no—
1490C4⋊C4—101no—
1491C4⋊C4—101no—
1492C4⋊C4—101no—
1493C4⋊C4—101no—
1494C4⋊C4—101no—
1495C4⋊C4D4×D511yescharacteristic
1496C4⋊C4C23×D511yescharacteristic
1497C4⋊C4C23×D511yescharacteristic
1498C4⋊C4C23×D511yescharacteristic
1499C4⋊C4C23×D511yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—51no—
1509C22⋊C4—51no—
1510C22⋊C4—51no—
1511C22⋊C4—51no—
1512C22⋊C4—51no—
1513C22⋊C4—51no—
1514C22⋊C4—51no—
1515C22⋊C4—51no—
1516C22⋊C4—101no—
1517C22⋊C4—101no—
1518C22⋊C4—101no—
1519C22⋊C4—101no—
1520C22⋊C4—101no—
1521C22⋊C4—101no—
1522C22⋊C4—101no—
1523C22⋊C4—101no—
1524C22⋊C4—101no—
1525C22⋊C4—101no—
1526C22⋊C4—101no—
1527C22⋊C4—101no—
1528C22⋊C4—101no—
1529C22⋊C4—101no—
1530C22⋊C4—101no—
1531C22⋊C4—101no—
1532C22⋊C4—101no—
1533C22⋊C4—101no—
1534C22⋊C4—101no—
1535C22⋊C4—101no—
1536C22⋊C4—101no—
1537C22⋊C4—101no—
1538C22⋊C4—101no—
1539C22⋊C4—101no—
1540C22⋊C4—101no—
1541C22⋊C4—101no—
1542C22⋊C4—101no—
1543C22⋊C4—101no—
1544C22⋊C4—101no—
1545C22⋊C4—101no—
1546C22⋊C4D4×D511yescharacteristic
1547C22⋊C4D4×D511yescharacteristic
1548C42—51no—
1549C42—51no—
1550C42—51no—
1551C42—51no—
1552C42—51no—
1553C42—101no—
1554C42—101no—
1555C42—101no—
1556C42—101no—
1557C42—101no—
1558C42—101no—
1559C42C23×D511yescharacteristic
1560C2×C5—22no—
1561C2×C5—42no—
1562C2×C5—41no—
1563C2×C5—81no—
1564C2×C5—81no—
1565C2×C5D4×#4111yescharacteristic
1566C2×C5C2×#57611yescharacteristic
1567C2×C5#358411yescharacteristic
1568D5—41no—
1569D5—42no—
1570D5—81no—
1571D5—81no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—42no—
1577C23—51no—
1578C23—81no—
1579C23—101no—
1580C23—101no—
1581C23—101no—
1582C23—202no—
1583C23—202no—
1584C23—202no—
1585C23—202no—
1586C23—401no—
1587C23—401no—
1588C23—401no—
1589C23—401no—
1590C23—401no—
1591C23C2×D4×D511yescharacteristic
1592C23C2×D4×D511yescharacteristic
1593Q8—21no—
1594Q8—21no—
1595Q8—81no—
1596Q8—101no—
1597Q8—101no—
1598Q8—201no—
1599Q8—401no—
1600D4—22no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—52no—
1610D4—81no—
1611D4—81no—
1612D4—102no—
1613D4—101no—
1614D4—101no—
1615D4—101no—
1616D4—101no—
1617D4—101no—
1618D4—202no—
1619D4—201no—
1620D4—202no—
1621D4—202no—
1622D4—202no—
1623D4—202no—
1624D4—401no—
1625D4—401no—
1626D4—401no—
1627D4—401no—
1628D4—401no—
1629D4—401no—
1630D4—401no—
1631D4—401no—
1632D4D5×#4112yes—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—51no—
1645C2×C4—51no—
1646C2×C4—51no—
1647C2×C4—51no—
1648C2×C4—51no—
1649C2×C4—51no—
1650C2×C4—51no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—102no—
1655C2×C4—101no—
1656C2×C4—101no—
1657C2×C4—101no—
1658C2×C4—101no—
1659C2×C4—101no—
1660C2×C4—101no—
1661C2×C4—101no—
1662C2×C4—202no—
1663C2×C4—201no—
1664C2×C4—202no—
1665C2×C4—401no—
1666C2×C4—401no—
1667C2×C4—401no—
1668C2×C4—401no—
1669C2×C4—401no—
1670C2×C4—401no—
1671C2×C4—401no—
1672C2×C4—401no—
1673C2×C4—401no—
1674C2×C4—401no—
1675C2×C4—401no—
1676C2×C4—401no—
1677C2×C4—401no—
1678C2×C4—401no—
1679C2×C4—401no—
1680C2×C4C2×D4×D511yescharacteristic
1681C2×C4C2×D4×D511yescharacteristic
1682C2×C4C2×D4×D511yescharacteristic
1683C2×C4C2×D4×D511yescharacteristic
1684C2×C4C24×D511yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—52no—
1690C8—101no—
1691C8—101no—
1692C8—101no—
1693C5#6147111yescharacteristic, complemented, Sylow
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—84no—
1709C22—101no—
1710C22—102no—
1711C22—101no—
1712C22—101no—
1713C22—201no—
1714C22—201no—
1715C22—201no—
1716C22—201no—
1717C22—201no—
1718C22—201no—
1719C22—201no—
1720C22—201no—
1721C22—404no—
1722C22—802no—
1723C22—802no—
1724C22#6610812yes—
1725C22C22×D4×D511yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—101no—
1736C4—101no—
1737C4—101no—
1738C4—101no—
1739C4—101no—
1740C4—101no—
1741C4—101no—
1742C4—201no—
1743C4—201no—
1744C4—201no—
1745C4—201no—
1746C4—201no—
1747C4C2×D5×#4111yescharacteristic
1748C4#6628511yescharacteristic
1749C2—22no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—81no—
1754C2—201no—
1755C2—202no—
1756C2—401no—
1757C2—401no—
1758C2#1061852711yescharacteristic
1759C2C2×#6610811yescharacteristic
1760C2#1061910711yescharacteristic
subgroupG/H
centerC22C22×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3306C2
socleC22×C5C23×D4
hypercenter#3306D5
hypocenterC5#61471
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #10618582C2semidirect
2. #10618535C2semidirect
3. C5×#3306C2semidirect
4. #10615247C2semidirect
5. #10615236C2semidirect
6. #10613403C2semidirect
7. #10613398C2semidirect
8. #10613167C2semidirect
9. #10613146C2semidirect
10. #10613065C2semidirect
11. #10613043C2semidirect
12. #10612785C2semidirect
13. #10612779C2semidirect
14. #10612609C2semidirect
15. #10612581C2semidirect
16. #10612416C2semidirect
17. #10612364C2semidirect
18. #10612256C2semidirect
19. #10612240C2semidirect
20. #10611832C2semidirect
21. #10611804C2semidirect
22. #10611755C2semidirect
23. #10611722C2semidirect
24. #10611598C2semidirect
25. #10611583C2semidirect
26. #10611230C2semidirect
27. #10611185C2semidirect
28. #10610633C2semidirect
29. #10610599C2semidirect
30. #10610493C2semidirect
31. C2×#65045C2semidirect
32. C5×#547C22semidirect
33. C5×#546C22semidirect
35. #66163C22semidirect
37. #66161C22semidirect
40. C2×D4×Dic5C22semidirect
43. #66067C22semidirect
44. #66064C22semidirect
45. #66016C22semidirect
46. #66015C22semidirect
56. #65958C22semidirect
57. #65953C22semidirect
58. #65953C22semidirect
60. #65952C22semidirect
62. #65946C22semidirect
64. #65934C22semidirect
67. #65893C22semidirect
68. #65889C22semidirect
69. #65884C22semidirect
70. #65879C22semidirect
71. #65879C22semidirect
72. #65877C22semidirect
74. #65848C22semidirect
76. #65838C22semidirect
77. C2×#4039C22semidirect
80. C5×#489C22semidirect
81. C5×#483C22semidirect
82. C5×#481C22semidirect
83. C5×#476C22semidirect
84. C5×#469C22semidirect
85. C5×#465C22semidirect
86. C5×#463C22semidirect
87. C5×#449C22semidirect
89. C5×#442C22semidirect
90. C5×#435C22semidirect
91. C5×#417C22semidirect
92. C2×C5×#102C22semidirect
93. #65527C22semidirect
94. #65507C22semidirect
95. #65458C22semidirect
96. #65457C22semidirect
97. #65452C22semidirect
98. SD16×Dic5C22semidirect
100. #65442C22semidirect
101. #65442C22semidirect
102. #65441C22semidirect
103. #65441C22semidirect
106. #65424C22semidirect
107. #65422C22semidirect
108. #65417C22semidirect
109. #65411C22semidirect
110. #65403C22semidirect
111. C2×#3953C22semidirect
113. C2×C8×Dic5C22semidirect
114. #65376C22semidirect
115. #65367C22semidirect
116. #65348C22semidirect
117. #65346C22semidirect
118. #65340C22semidirect
119. #65335C22semidirect
121. #65327C22semidirect
122. #65327C22semidirect
123. #65326C22semidirect
124. #65322C22semidirect
125. #65322C22semidirect
126. #65305C22semidirect
128. C4×#686C22semidirect
129. D4×#168C22semidirect
130. #65296C22semidirect
131. #65256C22semidirect
132. #65256C22semidirect
133. C2×#3939C22semidirect
134. C2×#3939C22semidirect
135. #65160C22semidirect
136. #65160C22semidirect
137. #65160C22semidirect
138. #65158C22semidirect
139. #65158C22semidirect
140. #65156C22semidirect
141. #65155C22semidirect
142. #65149C22semidirect
143. #65147C22semidirect
144. #65147C22semidirect
145. #65146C22semidirect
146. #65141C22semidirect
147. #65133C22semidirect
148. #65131C22semidirect
149. #65129C22semidirect
150. #65119C22semidirect
151. #65108C22semidirect
152. #65108C22semidirect
153. #65106C22semidirect
154. #65106C22semidirect
155. #65106C22semidirect
156. #65104C22semidirect
157. #65102C22semidirect
158. #65101C22semidirect
159. #65089C22semidirect
160. #65088C22semidirect
161. #65079C22semidirect
162. #65079C22semidirect
164. #65069C22semidirect
165. #65068C22semidirect
166. #65065C22semidirect
169. #65059C22semidirect
170. #65059C22semidirect
171. #65057C22semidirect
172. #65053C22semidirect
173. #65053C22semidirect
174. #65052C22semidirect
175. #65052C22semidirect
176. #65052C22semidirect
177. #65051C22semidirect
178. #65046C22semidirect
179. #65046C22semidirect
180. #65046C22semidirect
184. #65045C22semidirect
185. #65045C22semidirect
186. #65045C22semidirect
187. #65045C22semidirect
188. #65045C22semidirect
189. #65045C22semidirect
190. #65045C22semidirect
191. #65024C22semidirect
192. #65023C22semidirect
195. #65014C22semidirect
196. #65010C22semidirect
197. #65009C22semidirect
198. #65008C22semidirect
199. #65003C22semidirect
200. #65000C22semidirect
201. #64997C22semidirect
202. #64990C22semidirect
496. #3306D5semidirect
646. #686#41semidirect
742. #547C2×D5semidirect
748. #546C2×D5semidirect
781. #489C2×D5semidirect
787. #483C2×D5semidirect
791. #481C2×D5semidirect
805. #476C2×D5semidirect
809. #469C2×D5semidirect
819. #465C2×D5semidirect
827. #463C2×D5semidirect
839. #449C2×D5semidirect
851. #442C2×D5semidirect
876. #435C2×D5semidirect
889. #417C2×D5semidirect
891. C2×#102C2×D5semidirect
1693. C5#61471semidirect

Maximal subgroups

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

subgroupindex
#106185822
#106185352
C5×#33062
#106152472
#106152362
#106134032
#106133982
#106131672
#106131462
#106130652
#106130432
#106127852
#106127792
#106126092
#106125812
#106124162
#106123642
#106122562
#106122402
#106118322
#106118042
#106117552
#106117222
#106115982
#106115832
#106112302
#106111852
#106106332
#106105992
#106104932
C2×#650452
#614715