Finite Group Databasebeta

← #14484177

Subgroups — #14484177

Order 1920.

2264 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756290C211yesmaximal, characteristic, complemented
2C5×#5527C211yesmaximal, characteristic, complemented
3C3×#65856C211yesmaximal, characteristic, complemented
4#11754636C211yesmaximal, characteristic, complemented
5#11754409C211yesmaximal, characteristic, complemented
6#11754307C211yesmaximal, characteristic, complemented
7C2×#91398C211yesmaximal, characteristic, complemented
8#11753898C211yesmaximal, characteristic, complemented
9#11753862C211yesmaximal, characteristic, complemented
10#11753496C211yesmaximal, characteristic, complemented
11#11753493C211yesmaximal, characteristic, complemented
12#11753490C211yesmaximal, characteristic, complemented
13#11753485C211yesmaximal, characteristic, complemented
14#11753477C211yesmaximal, characteristic, complemented
15#11753457C211yesmaximal, characteristic, complemented
16#11753265C211yesmaximal, characteristic, complemented
17D3×#4027C211yesmaximal, characteristic, complemented
18#11753157C211yesmaximal, characteristic, complemented
19#11753134C211yesmaximal, characteristic, complemented
20#11753108C211yesmaximal, characteristic, complemented
21#11753021C211yesmaximal, characteristic, complemented
22#11752840C211yesmaximal, characteristic, complemented
23#11752820C211yesmaximal, characteristic, complemented
24#11752758C211yesmaximal, characteristic, complemented
25D5×#872C211yesmaximal, characteristic, complemented
26#11752688C211yesmaximal, characteristic, complemented
27#11752686C211yesmaximal, characteristic, complemented
28#11752684C211yesmaximal, characteristic, complemented
29#11752683C211yesmaximal, characteristic, complemented
30C4×#6772C211yesmaximal, characteristic, complemented
31#11752572C211yesmaximal, characteristic, complemented
32#10618691—31nomaximal, Hall
33C2×C3×#709C2211yescharacteristic
34C2×D3×C22⋊D5C2211yescharacteristic
35C22×D3×Dic5C2211yescharacteristic
36C2×#6780C2211yescharacteristic
37C2×C4×D3×D5C2211yescharacteristic
38C2×#6772C2211yescharacteristic
39C3×C5×#117C2211yescharacteristic, complemented
40#91818C2211yescharacteristic
41C2×#6712C2211yescharacteristic, complemented
42#91787C2211yescharacteristic, complemented
43#91785C2211yescharacteristic, complemented
44#91778C2211yescharacteristic, complemented
45#91778C2211yescharacteristic, complemented
46#91775C2211yescharacteristic
47#91770C2211yescharacteristic
48#91767C2211yescharacteristic, complemented
49#91766C2211yescharacteristic, complemented
50#91765C2211yescharacteristic, complemented
51#91761C2211yescharacteristic, complemented
52#91759C2211yescharacteristic, complemented
53C4×Dic30C2211yescharacteristic, complemented
54C5×#929C2211yescharacteristic, complemented
55C2×C5×(C2×D3)⋊C4C2211yescharacteristic
56C5×#898C2211yescharacteristic, complemented
57C5×#896C2211yescharacteristic
58C5×#894C2211yescharacteristic
59C5×#894C2211yescharacteristic, complemented
60C5×#882C2211yescharacteristic
61C5×#67⋊C4C2211yescharacteristic, complemented
62C5×D3×C22⋊C4C2211yescharacteristic
63C5×#878C2211yescharacteristic, complemented
64C5×#876C2211yescharacteristic, complemented
65C5×#875C2211yescharacteristic, complemented
66C4×C5×D12C2211yescharacteristic
67C5×#872C2211yescharacteristic
68C2×C3×C4×Dic5C2211yescharacteristic, complemented
69C3×#4039C2211yescharacteristic, complemented
70C3×#4039C2211yescharacteristic, complemented
71C3×#4033C2211yescharacteristic, complemented
72C3×#4033C2211yescharacteristic, complemented
73C3×#4027C2211yescharacteristic
74C3×#4027C2211yescharacteristic
75C3×#4027C2211yescharacteristic, complemented
76C3×#4027C2211yescharacteristic, complemented
77C3×#4018C2211yescharacteristic, complemented
78C3×#4018C2211yescharacteristic, complemented
79C3×C42×D5C2211yescharacteristic, complemented
80C3×C42×D5C2211yescharacteristic, complemented
81#91574C2211yescharacteristic, complemented
82#91571C2211yescharacteristic, complemented
83#91569C2211yescharacteristic
84#91568C2211yescharacteristic
85#91566C2211yescharacteristic
86#91559C2211yescharacteristic
87Dic3×C22⋊D5C2211yescharacteristic
88#91552C2211yescharacteristic
89Dic5×#67C2211yescharacteristic, complemented
90C2×#6669C2211yescharacteristic, complemented
91C2×(C2×D3)⋊Dic5C2211yescharacteristic
92#91537C2211yescharacteristic, complemented
93C2×Dic3×Dic5C2211yescharacteristic, complemented
94#91475C2211yescharacteristic
95#91474C2211yescharacteristic
96D3×#685C2211yescharacteristic
97D5×(C2×D3)⋊C4C2211yescharacteristic
98D5×(C2×D3)⋊C4C2211yescharacteristic
99#91464C2211yescharacteristic, complemented
100#91461C2211yescharacteristic, complemented
101#91457C2211yescharacteristic
102#91455C2211yescharacteristic, complemented
103#91453C2211yescharacteristic, complemented
104#91452C2211yescharacteristic
105#91449C2211yescharacteristic
106#91448C2211yescharacteristic
107#91447C2211yescharacteristic
108#91447C2211yescharacteristic, complemented
109#91447C2211yescharacteristic, complemented
110#91444C2211yescharacteristic, complemented
111#91442C2211yescharacteristic
112#91441C2211yescharacteristic, complemented
113#91440C2211yescharacteristic
114#91440C2211yescharacteristic
115#91440C2211yescharacteristic, complemented
116#91440C2211yescharacteristic, complemented
117#91440C2211yescharacteristic, complemented
118C4×#1201C2211yescharacteristic
119C4×#1201C2211yescharacteristic, complemented
120#91432C2211yescharacteristic, complemented
121#91431C2211yescharacteristic, complemented
122#91430C2211yescharacteristic, complemented
123#91423C2211yescharacteristic
124#91417C2211yescharacteristic
125#91416C2211yescharacteristic
126Dic5×D12C2211yescharacteristic
127Dic5×D12C2211yescharacteristic, complemented
128#91414C2211yescharacteristic
129#91410C2211yescharacteristic
130#91410C2211yescharacteristic, complemented
131#91408C2211yescharacteristic
132#91408C2211yescharacteristic, complemented
133#91407C2211yescharacteristic, complemented
134#91406C2211yescharacteristic
135#91405C2211yescharacteristic
136#91405C2211yescharacteristic, complemented
137#91402C2211yescharacteristic, complemented
138#91402C2211yescharacteristic, complemented
139#91400C2211yescharacteristic, complemented
140D3×#683C2211yescharacteristic
141#91398C2211yescharacteristic
142#91398C2211yescharacteristic
143#91398C2211yescharacteristic
144#91398C2211yescharacteristic
145#91398C2211yescharacteristic
146#91398C2211yescharacteristic, complemented
147#91398C2211yescharacteristic, complemented
148#91398C2211yescharacteristic, complemented
149#91398C2211yescharacteristic, complemented
150#91398C2211yescharacteristic, complemented
151C4×D3×Dic5C2211yescharacteristic
152C4×D3×Dic5C2211yescharacteristic, complemented
153#91394C2211yescharacteristic, complemented
154D5×Dic3⋊C4C2211yescharacteristic, complemented
155D5×Dic3⋊C4C2211yescharacteristic, complemented
156C4×D5×Dic3C2211yescharacteristic, complemented
157#91387C2211yescharacteristic, complemented
158#91386C2211yescharacteristic, complemented
159#91382C2211yescharacteristic, complemented
160#91378C2211yescharacteristic, complemented
161#91378C2211yescharacteristic, complemented
162#91372C2211yescharacteristic, complemented
163#91372C2211yescharacteristic, complemented
164#91372C2211yescharacteristic, complemented
165#91371C2211yescharacteristic
166#91367C2211yescharacteristic, complemented
167#91363C2211yescharacteristic, complemented
168#91362C2211yescharacteristic, complemented
169#91359C2211yescharacteristic, complemented
170#91358C2211yescharacteristic, complemented
171#91352C2211yescharacteristic
172#91351C2211yescharacteristic, complemented
173#91350C2211yescharacteristic
174#91350C2211yescharacteristic, complemented
175#91349C2211yescharacteristic, complemented
176#91348C2211yescharacteristic, complemented
177#91343C2211yescharacteristic, complemented
178#91337C2211yescharacteristic, complemented
179#91334C2211yescharacteristic, complemented
180#91333C2211yescharacteristic, complemented
181Dic5×Dic6C2211yescharacteristic, complemented
182#91329C2211yescharacteristic, complemented
183#91327C2211yescharacteristic, complemented
184#91326C2211yescharacteristic
185#91324C2211yescharacteristic, complemented
186#91323C2211yescharacteristic, complemented
187#91323C2211yescharacteristic, complemented
188#85841—51nomaximal, Hall
189C5×#551—31no—
190#66042—31no—
191#66040—31no—
192#66040—31no—
193#66036—31no—
194#66014—31no—
195#66004—31no—
196#65995—31no—
197#65990—31no—
198#65989—31no—
199#65984—31no—
200#65983—31no—
201#65983—31no—
202#65971—31no—
203#65970—31no—
204#65958—31no—
205#65956—31no—
206#65925—31no—
207#65920—31no—
208#65890—31no—
209#65874—31no—
210C4×#711—31no—
211C4×#711—31no—
212#65865—31no—
213#65865—31no—
214#65856D311yescharacteristic, complemented
215D5×#117—31no—
216#65829—31no—
217#65824—31no—
218C2×#4027—31no—
219C2×#4023—31no—
220C23×C5×D3C2311yescharacteristic
221C22×D3×D5C2311yescharacteristic
222C22×C3×C4×C5C2311yescharacteristic
223C2×#1220C2311yescharacteristic
224C22×Dic15C2311yescharacteristic
225C22×Dic15C2311yescharacteristic
226C2×C4×D15C2311yescharacteristic
227C2×Dic30C2311yescharacteristic
228C2×C5×#67C2311yescharacteristic
229C22×C5×Dic3C2311yescharacteristic
230C2×C5×D12C2311yescharacteristic
231C2×C5×D12C2311yescharacteristic
232C2×C4×C5×D3C2311yescharacteristic
233C2×C4×C5×D3C2311yescharacteristic
234C2×C4×C5×D3C2311yescharacteristic
235C2×C5×Dic6C2311yescharacteristic
236C2×C3×C22⋊D5C2311yescharacteristic
237C2×C3×C22⋊D5C2311yescharacteristic
238C22×C3×Dic5C2311yescharacteristic
239C22×C3×Dic5C2311yescharacteristic
240C3×#709—24no—
241C2×C3×D20C2311yescharacteristic
242C2×C3×C4×D5C2311yescharacteristic
243C2×C3×C4×D5C2311yescharacteristic
244C2×C3×C4×D5C2311yescharacteristic
245C2×C3×C4×D5C2311yescharacteristic
246C2×C3×C4×D5C2311yescharacteristic
247C2×C3×C4×D5C2311yescharacteristic
248C2×C3×Dic10C2311yescharacteristic
249D3×C22⋊D5—24no—
250C2×#1204C2311yescharacteristic
251C2×#1204C2311yescharacteristic
252C2×#1203C2311yescharacteristic
253C2×#1203C2311yescharacteristic
254C2×#1202C2311yescharacteristic
255C2×#1201C2311yescharacteristic
256C2×#1201C2311yescharacteristic
257C2×#1201C2311yescharacteristic
258C2×#1201C2311yescharacteristic
259C2×#1201C2311yescharacteristic
260C2×#1200C2311yescharacteristic
261C2×D3×Dic5—24no—
262C2×D3×Dic5C2311yescharacteristic
263C2×D3×Dic5C2311yescharacteristic
264C2×D3×Dic5C2311yescharacteristic
265C2×D3×Dic5C2311yescharacteristic
266C2×D3×Dic5C2311yescharacteristic
267C2×D3×Dic5C2311yescharacteristic
268C2×D3×Dic5C2311yescharacteristic
269#6780—24no—
270C2×D5×Dic3C2311yescharacteristic
271C2×D5×Dic3C2311yescharacteristic
272C2×D5×Dic3C2311yescharacteristic
273C4×D3×D5—24no—
274#6772—24no—
275C3×C5×C4⋊C4C2311yescharacteristic
276C3×C5×C4⋊C4C2311yescharacteristic
277C3×C5×C22⋊C4C2311yescharacteristic
278C3×C5×C22⋊C4C2311yescharacteristic
279C3×C42×C5C2311yescharacteristic
280C3×C42×C5C2311yescharacteristic
281#6719C2311yescharacteristic
282#6714C2311yescharacteristic
283#6714C2311yescharacteristic
284#6714C2311yescharacteristic
285#6714C2311yescharacteristic
286#6714C2311yescharacteristic
287C4⋊Dic15C2311yescharacteristic
288C4⋊Dic15C2311yescharacteristic
289C4⋊Dic15C2311yescharacteristic
290#6712C2311yescharacteristic
291#6712C2311yescharacteristic
292#6712C2311yescharacteristic
293#6712C2311yescharacteristic
294#6712C2311yescharacteristic
295#6712C2311yescharacteristic
296#6712C2311yescharacteristic
297#6712C2311yescharacteristic
298#6712C2311yescharacteristic
299#6712C2311yescharacteristic
300#6712C2311yescharacteristic
301C4×Dic15C2311yescharacteristic
302C4×Dic15C2311yescharacteristic
303C4×Dic15C2311yescharacteristic
304C5×#217C2311yescharacteristic
305C5×(C2×D3)⋊C4C2311yescharacteristic
306C5×(C2×D3)⋊C4C2311yescharacteristic
307C5×(C2×D3)⋊C4C2311yescharacteristic
308C5×(C2×D3)⋊C4C2311yescharacteristic
309C5×(C2×D3)⋊C4C2311yescharacteristic
310C5×(C2×D3)⋊C4C2311yescharacteristic
311C5×(C2×D3)⋊C4C2311yescharacteristic
312C5×(C2×D3)⋊C4C2311yescharacteristic
313C5×(C2×D3)⋊C4C2311yescharacteristic
314C5×(C2×D3)⋊C4C2311yescharacteristic
315C5×(C2×D3)⋊C4C2311yescharacteristic
316C5×C4⋊Dic3C2311yescharacteristic
317C5×Dic3⋊C4C2311yescharacteristic
318C5×Dic3⋊C4C2311yescharacteristic
319C5×Dic3⋊C4C2311yescharacteristic
320C5×Dic3⋊C4C2311yescharacteristic
321C5×Dic3⋊C4C2311yescharacteristic
322C4×C5×Dic3C2311yescharacteristic
323C3×#685C2311yescharacteristic
324C3×#685C2311yescharacteristic
325C3×#685C2311yescharacteristic
326C3×#685C2311yescharacteristic
327C3×#683C2311yescharacteristic
328C3×#683C2311yescharacteristic
329C3×#683C2311yescharacteristic
330C3×#683C2311yescharacteristic
331C3×C4×Dic5C2311yescharacteristic
332C3×C4×Dic5C2311yescharacteristic
333C3×C4×Dic5C2311yescharacteristic
334C3×C4×Dic5C2311yescharacteristic
335C3×C4×Dic5C2311yescharacteristic
336C3×C4×Dic5C2311yescharacteristic
337C3×C4×Dic5C2311yescharacteristic
338C3×C4×Dic5C2311yescharacteristic
339Dic3⋊Dic5C2311yescharacteristic
340Dic3⋊Dic5C2311yescharacteristic
341Dic3⋊Dic5C2311yescharacteristic
342Dic3⋊Dic5C2311yescharacteristic
343Dic3⋊Dic5C2311yescharacteristic
344#6669C2311yescharacteristic
345#6669C2311yescharacteristic
346#6669C2311yescharacteristic
347#6669C2311yescharacteristic
348#6669C2311yescharacteristic
349#6669C2311yescharacteristic
350#6669C2311yescharacteristic
351#6668C2311yescharacteristic
352#6668C2311yescharacteristic
353#6668C2311yescharacteristic
354#6668C2311yescharacteristic
355#6667C2311yescharacteristic
356#6667C2311yescharacteristic
357#6667C2311yescharacteristic
358(C2×D3)⋊Dic5C2311yescharacteristic
359(C2×D3)⋊Dic5C2311yescharacteristic
360(C2×D3)⋊Dic5C2311yescharacteristic
361(C2×D3)⋊Dic5C2311yescharacteristic
362(C2×D3)⋊Dic5C2311yescharacteristic
363(C2×D3)⋊Dic5C2311yescharacteristic
364(C2×D3)⋊Dic5C2311yescharacteristic
365(C2×D3)⋊Dic5C2311yescharacteristic
366(C2×D3)⋊Dic5C2311yescharacteristic
367#6665C2311yescharacteristic
368#6665C2311yescharacteristic
369#6665C2311yescharacteristic
370#6665C2311yescharacteristic
371#6665C2311yescharacteristic
372#6665C2311yescharacteristic
373Dic3×Dic5C2311yescharacteristic
374Dic3×Dic5C2311yescharacteristic
375Dic3×Dic5C2311yescharacteristic
376Dic3×Dic5C2311yescharacteristic
377Dic3×Dic5C2311yescharacteristic
378Dic3×Dic5C2311yescharacteristic
379Dic3×Dic5C2311yescharacteristic
380Dic3×Dic5C2311yescharacteristic
381C3×C4×#41—51no—
382#5829—51no—
383#5824—51no—
384#5581—51no—
385#5580—51no—
386#5578—51no—
387#5568—51no—
388#5556—51no—
389#5556—51no—
390#5554—51no—
391#5547—51no—
392#5547—51no—
393C4×D3×D4—51no—
394#5540—51no—
395#5540—51no—
396#5539—51no—
397#5538—51no—
398#5538—51no—
399C4×#237—51no—
400#5532—51no—
401#5531—51no—
402#5531—51no—
403#5529—51no—
404#5527—51no—
405#5527D511yescharacteristic, complemented
406#5479—51no—
407#5479—51no—
408#5479—51no—
409C4×#235—51no—
410C2×#872—51no—
411C2×#872—51no—
412C22×C22⋊D5—31no—
413C23×Dic5—31no—
414C2×#711—31no—
415C2×#711—31no—
416C2×#709C2×D311yescharacteristic
417C22×C4×D5—31no—
418C5×#126—31no—
419C5×#126—31no—
420C5×#124—31no—
421C5×#123—31no—
422C5×#123—31no—
423C5×#123—31no—
424C5×C22⋊Q8—31no—
425C5×C22⋊Q8—31no—
426C5×#120—31no—
427C4×C5×D4—31no—
428C4×C5×D4—31no—
429C5×#117—31no—
430C5×#117C2×D311yescharacteristic, complemented
431C2×C5×C22⋊C4—31no—
432C2×C5×C22⋊C4—31no—
433#4099—31no—
434C2×C22⋊Dic5—31no—
435#4093—31no—
436#4092—31no—
437Q8×Dic5—31no—
438#4090—31no—
439#4085—31no—
440#4085—31no—
441#4085—31no—
442#4085—31no—
443#4084—31no—
444#4083—31no—
445#4081—31no—
446D4×Dic5—31no—
447D4×Dic5—31no—
448D4×Dic5—31no—
449#4076—31no—
450#4075—31no—
451#4075—31no—
452#4075—31no—
453C4×C22⋊D5—31no—
454C4×C22⋊D5—31no—
455C4×C22⋊D5—31no—
456C4×C22⋊D5—31no—
457C2×#685—31no—
458#4072—31no—
459#4070—31no—
460C2×#683—31no—
461C2×#683—31no—
462C2×#683—31no—
463C2×C4×Dic5—31no—
464C2×C4×Dic5—31no—
465C2×C4×Dic5—31no—
466C2×C4×Dic5C2×D311yescharacteristic, complemented
467#4044—31no—
468#4044—31no—
469#4044—31no—
470#4044—31no—
471#4042—31no—
472#4042—31no—
473#4042—31no—
474#4042—31no—
475#4040—31no—
476#4040—31no—
477#4039—31no—
478#4039C2×D311yescharacteristic, complemented
479#4039C2×D311yescharacteristic, complemented
480#4038—31no—
481#4038—31no—
482#4038—31no—
483#4038—31no—
484D5×C4⋊C4—31no—
485D5×C4⋊C4—31no—
486#4036—31no—
487#4035—31no—
488#4035—31no—
489#4035—31no—
490#4035—31no—
491#4035—31no—
492#4035—31no—
493#4034—31no—
494#4033—31no—
495#4033—31no—
496#4033—31no—
497#4033C2×D311yescharacteristic, complemented
498#4033C2×D311yescharacteristic, complemented
499#4032—31no—
500#4032—31no—
501#4032—31no—
502#4031—31no—
503#4031—31no—
504#4031—31no—
505#4031—31no—
506#4030—31no—
507#4030—31no—
508#4030—31no—
509#4030—31no—
510#4029—31no—
511#4029—31no—
512#4029—31no—
513#4029—31no—
514#4028—31no—
515#4027—31no—
516#4027—31no—
517#4027—31no—
518#4027—31no—
519#4027—31no—
520#4027—31no—
521#4027—31no—
522#4027—31no—
523#4027—31no—
524#4027—31no—
525#4027—31no—
526#4027—31no—
527#4027C2×D311yescharacteristic
528#4027C2×D311yescharacteristic
529#4027C2×D311yescharacteristic, complemented
530#4027C2×D311yescharacteristic, complemented
531D5×C22⋊C4—31no—
532D5×C22⋊C4—31no—
533#4025—31no—
534#4025—31no—
535#4025—31no—
536#4025—31no—
537#4024—31no—
538#4024—31no—
539#4024—31no—
540#4024—31no—
541#4024—31no—
542#4024—31no—
543#4023—31no—
544#4023—31no—
545#4023—31no—
546#4023—31no—
547#4023—31no—
548#4023—31no—
549#4023—31no—
550#4023—31no—
551#4023—31no—
552#4023—31no—
553#4023—31no—
554#4023—31no—
555#4022—31no—
556#4022—31no—
557#4018—31no—
558#4018—31no—
559#4018C2×D311yescharacteristic, complemented
560#4018C2×D311yescharacteristic, complemented
561C42×D5—31no—
562C42×D5C2×D311yescharacteristic, complemented
563C42×D5C2×D311yescharacteristic, complemented
564#4016—31no—
565C4×Dic10—31no—
566C4×Dic10—31no—
567#3475—151noSylow
568C23×C3×C5C2411yescharacteristic
569C22×D15C2411yescharacteristic
570C22×C5×D3—22no—
571C22×C5×D3—22no—
572C22×C5×D3—41no—
573C22×C5×D3C2411yescharacteristic
574C22×C5×D3C2411yescharacteristic
575C22×C5×D3C2411yescharacteristic
576C22×C3×D5C2411yescharacteristic
577C22×C3×D5C2411yescharacteristic
578C2×D3×D5—22no—
579C2×D3×D5—22no—
580C2×D3×D5—41no—
581C2×C3×C4×C5—22no—
582C2×C3×C4×C5C2411yescharacteristic
583C2×C3×C4×C5C2411yescharacteristic
584C2×C3×C4×C5C2411yescharacteristic
585C2×C3×C4×C5C2411yescharacteristic
586C2×C3×C4×C5C2411yescharacteristic
587C2×C3×C4×C5C2411yescharacteristic
588#1220—22no—
589C2×Dic15—22no—
590C2×Dic15—22no—
591C2×Dic15C2411yescharacteristic
592C2×Dic15C2411yescharacteristic
593C2×Dic15C2411yescharacteristic
594C2×Dic15C2411yescharacteristic
595C2×Dic15C2411yescharacteristic
596C2×Dic15C2411yescharacteristic
597C2×Dic15C2411yescharacteristic
598C4×D15—22no—
599Dic30—22no—
600C5×#67—22no—
601C2×C5×Dic3—41no—
602C2×C5×Dic3C2411yescharacteristic
603C2×C5×Dic3C2411yescharacteristic
604C2×C5×Dic3C2411yescharacteristic
605C2×C5×Dic3C2411yescharacteristic
606C2×C5×Dic3C2411yescharacteristic
607C5×D12—22no—
608C5×D12—41no—
609C4×C5×D3—22no—
610C4×C5×D3—41no—
611C4×C5×D3—41no—
612C5×Dic6—41no—
613C3×C22⋊D5—22no—
614C3×C22⋊D5#4114yescomplemented
615C2×C3×Dic5—22no—
616C2×C3×Dic5—41no—
617C2×C3×Dic5C2411yescharacteristic
618C2×C3×Dic5C2411yescharacteristic
619C2×C3×Dic5C2411yescharacteristic
620C2×C3×Dic5C2411yescharacteristic
621C2×C3×Dic5C2411yescharacteristic
622C2×C3×Dic5C2411yescharacteristic
623C3×D20—22no—
624C3×C4×D5—22no—
625C3×C4×D5—22no—
626C3×C4×D5—22no—
627C3×C4×D5—22no—
628C3×C4×D5—41no—
629C3×C4×D5—41no—
630C3×Dic10—22no—
631#1204—22no—
632#1204—41no—
633#1203—22no—
634#1203—41no—
635#1202—41no—
636#1201—22no—
637#1201—22no—
638#1201—22no—
639#1201—22no—
640#1201—41no—
641#1200—22no—
642D3×Dic5—22no—
643D3×Dic5—22no—
644D3×Dic5—22no—
645D3×Dic5—22no—
646D3×Dic5—22no—
647D3×Dic5—22no—
648D3×Dic5#4114yescomplemented
649D5×Dic3—22no—
650D5×Dic3—22no—
651D5×Dic3—41no—
652C2×C3×#41—51no—
653C2×#237—51no—
654C2×D3×D4—51no—
655C2×#235—51no—
656C22×C4×D3—51no—
657C22×C4×D3—51no—
658C3×C4×Q8—51no—
659C3×C4×Q8—51no—
660C3×C4×D4—51no—
661C3×C4×D4—51no—
662C3×C4×D4—51no—
663C3×C4×D4—51no—
664C3×C4×D4—51no—
665C3×C4×D4—51no—
666C3×#117—51no—
667C3×#117—51no—
668C3×#117C2×D511yescharacteristic, complemented
669C2×C3×C42—51no—
670C2×C3×C42—51no—
671C2×C3×C42—51no—
672#947—51no—
673#946—51no—
674#946—51no—
675#944—51no—
676#939—51no—
677#939—51no—
678#939—51no—
679#939—51no—
680#937—51no—
681#937—51no—
682#935—51no—
683#935—51no—
684D4×Dic3—51no—
685D4×Dic3—51no—
686#930—51no—
687#930—51no—
688#930—51no—
689#929—51no—
690#929—51no—
691#929—51no—
692#929—51no—
693#929—51no—
694#929C2×D511yescharacteristic, complemented
695C4×#67—51no—
696C4×#67—51no—
697C4×#67—51no—
698C4×#67—51no—
699C4×#67—51no—
700C4×#67—51no—
701C4×#67—51no—
702C4×#67—51no—
703C4×#67—51no—
704C4×#67—51no—
705C2×(C2×D3)⋊C4—51no—
706C2×(C2×D3)⋊C4—51no—
707C2×(C2×D3)⋊C4—51no—
708C2×(C2×D3)⋊C4C2×D511yescharacteristic
709#926—51no—
710#924—51no—
711#924—51no—
712#924—51no—
713C2×Dic3⋊C4—51no—
714C2×Dic3⋊C4—51no—
715C2×Dic3⋊C4—51no—
716C2×Dic3⋊C4—51no—
717C2×C4×Dic3—51no—
718C2×C4×Dic3—51no—
719#898—51no—
720#898—51no—
721#898—51no—
722#898C2×D511yescharacteristic, complemented
723#897—51no—
724#896—51no—
725#896—51no—
726#896—51no—
727#896C2×D511yescharacteristic
728#895—51no—
729#894—51no—
730#894—51no—
731#894C2×D511yescharacteristic
732#894C2×D511yescharacteristic, complemented
733#893—51no—
734#892—51no—
735D3×C4⋊C4—51no—
736#890—51no—
737#889—51no—
738#889—51no—
739#889—51no—
740#889—51no—
741#888—51no—
742#887—51no—
743#886—51no—
744#886—51no—
745#885—51no—
746#885—51no—
747#884—51no—
748#884—51no—
749#883—51no—
750#883—51no—
751#882—51no—
752#882C2×D511yescharacteristic
753#67⋊C4—51no—
754#67⋊C4—51no—
755#67⋊C4—51no—
756#67⋊C4C2×D511yescharacteristic, complemented
757D3×C22⋊C4—51no—
758D3×C22⋊C4C2×D511yescharacteristic
759#879—51no—
760#879—51no—
761#878—51no—
762#878—51no—
763#878—51no—
764#878C2×D511yescharacteristic, complemented
765#877—51no—
766#877—51no—
767#876—51no—
768#876—51no—
769#876—51no—
770#876—51no—
771#876—51no—
772#876C2×D511yescharacteristic, complemented
773#875—51no—
774#875—51no—
775#875C2×D511yescharacteristic, complemented
776C4×D12—51no—
777C4×D12—51no—
778C4×D12—51no—
779C4×D12—51no—
780C4×D12C2×D511yescharacteristic
781#872—51no—
782#872—51no—
783#872—51no—
784#872—51no—
785#872—51no—
786#872—51no—
787#872—51no—
788#872—51no—
789#872—51no—
790#872—51no—
791#872—51no—
792#872—51no—
793#872—51no—
794#872—51no—
795#872—51no—
796#872C2×D511yescharacteristic
797C42×D3—51no—
798C42×D3—51no—
799#870—51no—
800#870—51no—
801#870—51no—
802C4×Dic6—51no—
803C4×Dic6—51no—
804C4×Dic6—51no—
805C4×Dic6—51no—
806C4×Dic6—51no—
807C24×C5—31no—
808C23×D5—31no—
809C2×C5×Q8—31no—
810C2×C5×D4—31no—
811C2×C5×D4—31no—
812C2×C5×D4—31no—
813C22×C4×C5—31no—
814C22×C4×C5—31no—
815C22×C4×C5—31no—
816C22×C4×C5—31no—
817C22×C4×C5C22×D311yescharacteristic
818C2×C22⋊D5—31no—
819C2×C22⋊D5—31no—
820C2×C22⋊D5—31no—
821C2×C22⋊D5—31no—
822C2×C22⋊D5—31no—
823C2×C22⋊D5—31no—
824C2×C22⋊D5—31no—
825C2×C22⋊D5—31no—
826C2×C22⋊D5—64no—
827C2×C22⋊D5C22×D311yescharacteristic
828C2×C22⋊D5C22×D311yescharacteristic
829C22×Dic5—31no—
830C22×Dic5—31no—
831C22×Dic5—31no—
832C22×Dic5—31no—
833C22×Dic5—31no—
834C22×Dic5—31no—
835C22×Dic5—31no—
836C22×Dic5—31no—
837C22×Dic5—31no—
838C22×Dic5—64no—
839C22×Dic5C22×D311yescharacteristic
840C22×Dic5C22×D311yescharacteristic
841#711—64no—
842#711—64no—
843#709—24no—
844C2×D20—31no—
845C2×D20C22×D311yescharacteristic
846C2×C4×D5—31no—
847C2×C4×D5—31no—
848C2×C4×D5—31no—
849C2×C4×D5—31no—
850C2×C4×D5—31no—
851C2×C4×D5—64no—
852C2×C4×D5C22×D311yescharacteristic
853C2×C4×D5C22×D311yescharacteristic
854C2×C4×D5C22×D311yescharacteristic
855C2×C4×D5C22×D311yescharacteristic
856C2×C4×D5C22×D311yescharacteristic
857C2×C4×D5C22×D311yescharacteristic
858C2×Dic10—31no—
859C2×Dic10—31no—
860C2×Dic10—31no—
861C2×Dic10C22×D311yescharacteristic
862C5×C4⋊C4—31no—
863C5×C4⋊C4—31no—
864C5×C4⋊C4—31no—
865C5×C4⋊C4—31no—
866C5×C4⋊C4—31no—
867C5×C4⋊C4—31no—
868C5×C4⋊C4C22×D311yescharacteristic
869C5×C4⋊C4C22×D311yescharacteristic
870C5×C22⋊C4—31no—
871C5×C22⋊C4—31no—
872C5×C22⋊C4—31no—
873C5×C22⋊C4—31no—
874C5×C22⋊C4—31no—
875C5×C22⋊C4—31no—
876C5×C22⋊C4—31no—
877C5×C22⋊C4—31no—
878C5×C22⋊C4—31no—
879C5×C22⋊C4—31no—
880C5×C22⋊C4—31no—
881C5×C22⋊C4—31no—
882C5×C22⋊C4C22×D311yescharacteristic
883C5×C22⋊C4C22×D311yescharacteristic
884C42×C5—31no—
885C42×C5C22×D311yescharacteristic
886C42×C5C22×D311yescharacteristic
887C22⋊Dic5—31no—
888C22⋊Dic5—31no—
889C22⋊Dic5—31no—
890C22⋊Dic5—31no—
891C22⋊Dic5—31no—
892C22⋊Dic5—31no—
893C22⋊Dic5—31no—
894C22⋊Dic5—31no—
895C22⋊Dic5—31no—
896C22⋊Dic5—31no—
897#685—31no—
898#685—31no—
899#685—31no—
900#685—31no—
901#685—31no—
902#685—31no—
903#685—31no—
904#685—31no—
905#685—31no—
906#685—31no—
907#685—31no—
908#685—31no—
909#685—31no—
910#685—31no—
911#685C22×D311yescharacteristic
912#685C22×D311yescharacteristic
913#685C22×D311yescharacteristic
914#685C22×D311yescharacteristic
915C4⋊Dic5—31no—
916C4⋊Dic5—31no—
917C4⋊Dic5—31no—
918C4⋊Dic5—31no—
919C4⋊Dic5—31no—
920C4⋊Dic5—31no—
921C4⋊Dic5—31no—
922C4⋊Dic5—31no—
923#683—31no—
924#683—31no—
925#683—31no—
926#683—31no—
927#683—31no—
928#683—31no—
929#683—31no—
930#683—31no—
931#683—31no—
932#683—31no—
933#683—31no—
934#683—31no—
935#683—31no—
936#683—31no—
937#683—31no—
938#683—31no—
939#683—31no—
940#683—31no—
941#683—31no—
942#683—31no—
943#683—31no—
944#683—31no—
945#683C22×D311yescharacteristic
946#683C22×D311yescharacteristic
947#683C22×D311yescharacteristic
948#683C22×D311yescharacteristic
949C4×Dic5—31no—
950C4×Dic5—31no—
951C4×Dic5—31no—
952C4×Dic5—31no—
953C4×Dic5—31no—
954C4×Dic5—31no—
955C4×Dic5—31no—
956C4×Dic5—31no—
957C4×Dic5—31no—
958C4×Dic5—31no—
959C4×Dic5—31no—
960C4×Dic5C22×D311yescharacteristic
961C4×Dic5C22×D311yescharacteristic
962C4×Dic5C22×D311yescharacteristic
963C4×Dic5C22×D311yescharacteristic
964C4×Dic5C22×D311yescharacteristic
965C4×Dic5C22×D311yescharacteristic
966C4×Dic5C22×D311yescharacteristic
967C4×Dic5C22×D311yescharacteristic
968#556—151no—
969#555—151no—
970#554—151no—
971#553—151no—
972#553—151no—
973#552—151no—
974#552—151no—
975#552—151no—
976#552—151no—
977#551—31no—
978#551—151no—
979#551—151no—
980#551—151no—
981#547—151no—
982#546—151no—
983#546—151no—
984#533—151no—
985#529—151no—
986#529—151no—
987#529—151no—
988#529—151no—
989#529—151no—
990#529—151no—
991#525—151no—
992#525—151no—
993C4×#41—51no—
994C4×#41—151no—
995C4×#41—151no—
996C2×C4×D4—151no—
997C2×#117—151no—
998C2×#117—151no—
999C22×C3×C5—21no—
1000C22×C3×C5—21no—
1001C22×C3×C5C2×#4112yes—
1002C22×C3×C5C2511yescharacteristic
1003C2×D15—21no—
1004C2×D15—21no—
1005C2×D15—21no—
1006C2×C5×D3—21no—
1007C2×C5×D3—21no—
1008C2×C5×D3—21no—
1009C2×C5×D3—21no—
1010C2×C5×D3—21no—
1011C2×C5×D3—21no—
1012C2×C5×D3—21no—
1013C2×C5×D3—21no—
1014C2×C5×D3—44no—
1015C2×C5×D3C2×#4112yes—
1016C2×C3×D5—21no—
1017C2×C3×D5—21no—
1018C2×C3×D5—21no—
1019C2×C3×D5—21no—
1020C2×C3×D5—21no—
1021C2×C3×D5C2×#4112yes—
1022D3×D5—44no—
1023C3×C4×C5—21no—
1024C3×C4×C5—21no—
1025C3×C4×C5—21no—
1026C3×C4×C5—21no—
1027C3×C4×C5—21no—
1028C3×C4×C5—21no—
1029Dic15—21no—
1030Dic15—21no—
1031Dic15—21no—
1032Dic15—21no—
1033Dic15—21no—
1034Dic15—21no—
1035Dic15C2×#4112yes—
1036C3×Dic5—21no—
1037C3×Dic5—21no—
1038C3×Dic5—21no—
1039C3×Dic5—21no—
1040C3×Dic5C2×#4112yes—
1041C3×Dic5C2×#4112yes—
1042C5×Dic3—21no—
1043C5×Dic3—21no—
1044C5×Dic3—21no—
1045C5×Dic3—21no—
1046C5×Dic3—21no—
1047C23×D3—51no—
1048C23×D3C22×D511yescharacteristic
1049C3×#41—104no—
1050C2×C3×Q8—51no—
1051C2×C3×D4—51no—
1052C2×C3×D4—51no—
1053C2×C3×D4—51no—
1054C22×C3×C4—51no—
1055C22×C3×C4—51no—
1056C22×C3×C4—51no—
1057C22×C3×C4—51no—
1058C22×C3×C4—51no—
1059C22×C3×C4—51no—
1060C22×C3×C4—51no—
1061C22×C3×C4—51no—
1062C22×C3×C4C22×D511yescharacteristic
1063C2×#67—51no—
1064C2×#67—51no—
1065C2×#67—51no—
1066C2×#67—51no—
1067C2×#67—51no—
1068C2×#67—51no—
1069C2×#67—51no—
1070C2×#67C22×D511yescharacteristic
1071C22×Dic3—51no—
1072C22×Dic3—51no—
1073C22×Dic3—51no—
1074C22×Dic3—51no—
1075C22×Dic3—51no—
1076C22×Dic3C22×D511yescharacteristic
1077#237—104no—
1078D3×D4—104no—
1079#235—104no—
1080C2×D12—51no—
1081C2×D12—51no—
1082C2×D12C22×D511yescharacteristic
1083C2×D12C22×D511yescharacteristic
1084C2×C4×D3—51no—
1085C2×C4×D3—51no—
1086C2×C4×D3—51no—
1087C2×C4×D3—51no—
1088C2×C4×D3—51no—
1089C2×C4×D3—51no—
1090C2×C4×D3—51no—
1091C2×C4×D3—51no—
1092C2×C4×D3—51no—
1093C2×C4×D3—104no—
1094C2×C4×D3—104no—
1095C2×C4×D3C22×D511yescharacteristic
1096C2×C4×D3C22×D511yescharacteristic
1097C2×C4×D3C22×D511yescharacteristic
1098C2×Dic6—51no—
1099C2×Dic6—51no—
1100C2×Dic6—51no—
1101C2×Dic6C22×D511yescharacteristic
1102C3×C4⋊C4—51no—
1103C3×C4⋊C4—51no—
1104C3×C4⋊C4—51no—
1105C3×C4⋊C4—51no—
1106C3×C4⋊C4C22×D511yescharacteristic
1107C3×C4⋊C4C22×D511yescharacteristic
1108C3×C22⋊C4—51no—
1109C3×C22⋊C4—51no—
1110C3×C22⋊C4—51no—
1111C3×C22⋊C4—51no—
1112C3×C22⋊C4C22×D511yescharacteristic
1113C3×C22⋊C4C22×D511yescharacteristic
1114C3×C42—51no—
1115C3×C42—51no—
1116C3×C42—51no—
1117C3×C42—51no—
1118C3×C42—51no—
1119C3×C42—51no—
1120C3×C42—51no—
1121C3×C42—51no—
1122C3×C42C22×D511yescharacteristic
1123C3×C42C22×D511yescharacteristic
1124#217—51no—
1125#217—51no—
1126#217—51no—
1127#217—51no—
1128#217—51no—
1129#217—51no—
1130#217—51no—
1131#217C22×D511yescharacteristic
1132(C2×D3)⋊C4—51no—
1133(C2×D3)⋊C4—51no—
1134(C2×D3)⋊C4—51no—
1135(C2×D3)⋊C4—51no—
1136(C2×D3)⋊C4—51no—
1137(C2×D3)⋊C4—51no—
1138(C2×D3)⋊C4—51no—
1139(C2×D3)⋊C4—51no—
1140(C2×D3)⋊C4—51no—
1141(C2×D3)⋊C4—51no—
1142(C2×D3)⋊C4—51no—
1143(C2×D3)⋊C4—51no—
1144(C2×D3)⋊C4—51no—
1145(C2×D3)⋊C4—51no—
1146(C2×D3)⋊C4—51no—
1147(C2×D3)⋊C4—51no—
1148(C2×D3)⋊C4—51no—
1149(C2×D3)⋊C4C22×D511yescharacteristic
1150(C2×D3)⋊C4C22×D511yescharacteristic
1151(C2×D3)⋊C4C22×D511yescharacteristic
1152(C2×D3)⋊C4C22×D511yescharacteristic
1153(C2×D3)⋊C4C22×D511yescharacteristic
1154(C2×D3)⋊C4C22×D511yescharacteristic
1155(C2×D3)⋊C4C22×D511yescharacteristic
1156(C2×D3)⋊C4C22×D511yescharacteristic
1157(C2×D3)⋊C4C22×D511yescharacteristic
1158(C2×D3)⋊C4C22×D511yescharacteristic
1159(C2×D3)⋊C4C22×D511yescharacteristic
1160C4⋊Dic3—51no—
1161C4⋊Dic3—51no—
1162C4⋊Dic3—51no—
1163C4⋊Dic3—51no—
1164C4⋊Dic3—51no—
1165C4⋊Dic3—51no—
1166C4⋊Dic3—51no—
1167C4⋊Dic3C22×D511yescharacteristic
1168Dic3⋊C4—51no—
1169Dic3⋊C4—51no—
1170Dic3⋊C4—51no—
1171Dic3⋊C4—51no—
1172Dic3⋊C4—51no—
1173Dic3⋊C4—51no—
1174Dic3⋊C4—51no—
1175Dic3⋊C4—51no—
1176Dic3⋊C4—51no—
1177Dic3⋊C4—51no—
1178Dic3⋊C4—51no—
1179Dic3⋊C4—51no—
1180Dic3⋊C4—51no—
1181Dic3⋊C4—51no—
1182Dic3⋊C4—51no—
1183Dic3⋊C4—51no—
1184Dic3⋊C4—51no—
1185Dic3⋊C4—51no—
1186Dic3⋊C4—51no—
1187Dic3⋊C4—51no—
1188Dic3⋊C4—51no—
1189Dic3⋊C4—51no—
1190Dic3⋊C4—51no—
1191Dic3⋊C4C22×D511yescharacteristic
1192Dic3⋊C4C22×D511yescharacteristic
1193Dic3⋊C4C22×D511yescharacteristic
1194Dic3⋊C4C22×D511yescharacteristic
1195Dic3⋊C4C22×D511yescharacteristic
1196C4×Dic3—51no—
1197C4×Dic3—51no—
1198C4×Dic3—51no—
1199C4×Dic3—51no—
1200C4×Dic3—51no—
1201C4×Dic3—51no—
1202C4×Dic3—51no—
1203C4×Dic3—51no—
1204C4×Dic3—51no—
1205C4×Dic3—51no—
1206C4×Dic3—51no—
1207C4×Dic3C22×D511yescharacteristic
1208C23×C5—31no—
1209C23×C5—31no—
1210C23×C5—31no—
1211C23×C5—62no—
1212C23×C5—62no—
1213C23×C5—121no—
1214C23×C5C23×D311yescharacteristic
1215C22×D5—31no—
1216C22×D5—62no—
1217C22×D5—62no—
1218C22×D5—121no—
1219C22×D5C23×D311yescharacteristic
1220C22×D5C23×D311yescharacteristic
1221C5×Q8—121no—
1222C5×D4—62no—
1223C5×D4—62no—
1224C5×D4—121no—
1225C2×C4×C5—22no—
1226C2×C4×C5—31no—
1227C2×C4×C5—31no—
1228C2×C4×C5—31no—
1229C2×C4×C5—31no—
1230C2×C4×C5—31no—
1231C2×C4×C5—62no—
1232C2×C4×C5—121no—
1233C2×C4×C5—121no—
1234C2×C4×C5—121no—
1235C2×C4×C5C23×D311yescharacteristic
1236C2×C4×C5C23×D311yescharacteristic
1237C2×C4×C5C23×D311yescharacteristic
1238C2×C4×C5C23×D311yescharacteristic
1239C2×C4×C5C23×D311yescharacteristic
1240C2×C4×C5C23×D311yescharacteristic
1241C22⋊D5—22no—
1242C22⋊D5—62no—
1243C22⋊D5—62no—
1244C22⋊D5—62no—
1245C22⋊D5—62no—
1246C22⋊D5—62no—
1247C22⋊D5—62no—
1248C22⋊D5—121no—
1249C22⋊D5—121no—
1250C22⋊D5#23514yescomplemented
1251C2×Dic5—22no—
1252C2×Dic5—31no—
1253C2×Dic5—34no—
1254C2×Dic5—31no—
1255C2×Dic5—31no—
1256C2×Dic5—31no—
1257C2×Dic5—31no—
1258C2×Dic5—31no—
1259C2×Dic5—31no—
1260C2×Dic5—41no—
1261C2×Dic5—62no—
1262C2×Dic5—62no—
1263C2×Dic5—62no—
1264C2×Dic5—62no—
1265C2×Dic5—62no—
1266C2×Dic5—62no—
1267C2×Dic5—62no—
1268C2×Dic5—62no—
1269C2×Dic5C23×D311yescharacteristic
1270C2×Dic5C23×D311yescharacteristic
1271C2×Dic5C23×D311yescharacteristic
1272C2×Dic5C23×D311yescharacteristic
1273C2×Dic5C23×D311yescharacteristic
1274C2×Dic5C23×D311yescharacteristic
1275D20—22no—
1276D20—121no—
1277C4×D5—22no—
1278C4×D5—22no—
1279C4×D5—22no—
1280C4×D5—22no—
1281C4×D5—41no—
1282C4×D5—41no—
1283C4×D5—62no—
1284C4×D5—62no—
1285C4×D5—62no—
1286C4×D5—62no—
1287C4×D5—121no—
1288Dic10—22no—
1289Dic10—62no—
1290Dic10—62no—
1291Dic10—121no—
1292C2×#41—51no—
1293C2×#41—151no—
1294C2×#41—151no—
1295C22×D4—151no—
1296C23×C4—151no—
1297C23×C4—151no—
1298C4⋊Q8—151no—
1299C4⋊Q8—151no—
1300#126—31no—
1301#126—31no—
1302#126—151no—
1303#126—151no—
1304#126—151no—
1305#126—151no—
1306#126—151no—
1307#126—151no—
1308#126—151no—
1309#126—151no—
1310#126—151no—
1311#126—151no—
1312#125—151no—
1313#125—151no—
1314#125—151no—
1315#125—151no—
1316#125—151no—
1317#125—151no—
1318#125—151no—
1319#125—151no—
1320#124—31no—
1321#124—151no—
1322#124—151no—
1323#124—151no—
1324#124—151no—
1325#124—151no—
1326#123—31no—
1327#123—31no—
1328#123—31no—
1329#123—151no—
1330#123—151no—
1331#123—151no—
1332#123—151no—
1333#123—151no—
1334#123—151no—
1335#123—151no—
1336#123—151no—
1337#123—151no—
1338#123—151no—
1339#123—151no—
1340#123—151no—
1341#123—151no—
1342C22⋊Q8—31no—
1343C22⋊Q8—31no—
1344C22⋊Q8—151no—
1345C22⋊Q8—151no—
1346C22⋊Q8—151no—
1347C22⋊Q8—151no—
1348C22⋊Q8—151no—
1349C22⋊Q8—151no—
1350C22⋊Q8—151no—
1351C22⋊Q8—151no—
1352C22⋊Q8—151no—
1353C22⋊Q8—151no—
1354C22⋊Q8—151no—
1355C22⋊Q8—151no—
1356#121—151no—
1357#121—151no—
1358#121—151no—
1359#121—151no—
1360#121—151no—
1361#121—151no—
1362#121—151no—
1363#121—151no—
1364#121—151no—
1365#121—151no—
1366#120—31no—
1367#120—151no—
1368#120—151no—
1369#120—151no—
1370C4×Q8—51no—
1371C4×Q8—51no—
1372C4×Q8—151no—
1373C4×Q8—151no—
1374C4×Q8—151no—
1375C4×Q8—151no—
1376C4×Q8—151no—
1377C4×Q8—151no—
1378C4×D4—31no—
1379C4×D4—31no—
1380C4×D4—51no—
1381C4×D4—51no—
1382C4×D4—51no—
1383C4×D4—51no—
1384C4×D4—51no—
1385C4×D4—51no—
1386C4×D4—151no—
1387C4×D4—151no—
1388C4×D4—151no—
1389C4×D4—151no—
1390C4×D4—151no—
1391C4×D4—151no—
1392C4×D4—151no—
1393C4×D4—151no—
1394C4×D4—151no—
1395C4×D4—151no—
1396C4×D4—151no—
1397C4×D4—151no—
1398C4×D4—151no—
1399C4×D4—151no—
1400C4×D4—151no—
1401C4×D4—151no—
1402C4×D4—151no—
1403C4×D4—151no—
1404C4×D4—151no—
1405C4×D4—151no—
1406#117—31no—
1407#117—51no—
1408#117—51no—
1409#117—151no—
1410#117—151no—
1411#117—151no—
1412#117—151no—
1413#117—151no—
1414#117—151no—
1415#117—151no—
1416#117—151no—
1417#117—151no—
1418#117—151no—
1419#117—151no—
1420#117—151no—
1421#117—151no—
1422#117—151no—
1423#117—151no—
1424#117—151no—
1425#117—151no—
1426#117—151no—
1427#117—151no—
1428#117D3×D511yescharacteristic, complemented
1429C2×C4⋊C4—151no—
1430C2×C4⋊C4—151no—
1431C2×C4⋊C4—151no—
1432C2×C4⋊C4—151no—
1433C2×C4⋊C4—151no—
1434C2×C22⋊C4—31no—
1435C2×C22⋊C4—31no—
1436C2×C22⋊C4—151no—
1437C2×C22⋊C4—151no—
1438C2×C22⋊C4—151no—
1439C2×C22⋊C4—151no—
1440C2×C42—51no—
1441C2×C42—51no—
1442C2×C42—51no—
1443C2×C42—151no—
1444C2×C42—151no—
1445C2×C42—151no—
1446C2×C42—151no—
1447C2×C3×C5—22no—
1448C2×C3×C5C22×#4111yescharacteristic
1449C2×C3×C5C22×#4111yescharacteristic
1450C2×C3×C5#58511yescharacteristic
1451D15—41no—
1452C3×D5—22no—
1453C3×D5—41no—
1454C5×D3—22no—
1455C5×D3—41no—
1456C5×D3—41no—
1457C23×C3—51no—
1458C23×C3—51no—
1459C23×C3C23×D511yescharacteristic
1460C22×D3—22no—
1461C22×D3—22no—
1462C22×D3—41no—
1463C22×D3—51no—
1464C22×D3—102no—
1465C22×D3—102no—
1466C22×D3—201no—
1467C22×D3C23×D511yescharacteristic
1468C22×D3C23×D511yescharacteristic
1469C22×D3C23×D511yescharacteristic
1470C3×Q8—102no—
1471C3×D4—54no—
1472C3×D4—102no—
1473C3×D4—102no—
1474C2×C3×C4—22no—
1475C2×C3×C4—51no—
1476C2×C3×C4—51no—
1477C2×C3×C4—51no—
1478C2×C3×C4—51no—
1479C2×C3×C4—51no—
1480C2×C3×C4—51no—
1481C2×C3×C4—102no—
1482C2×C3×C4—102no—
1483C2×C3×C4—102no—
1484C2×C3×C4—102no—
1485C2×C3×C4—102no—
1486C2×C3×C4—201no—
1487C2×C3×C4—201no—
1488C2×C3×C4—201no—
1489C2×C3×C4C23×D511yescharacteristic
1490C2×C3×C4C23×D511yescharacteristic
1491C2×C3×C4C23×D511yescharacteristic
1492C2×C3×C4C23×D511yescharacteristic
1493C2×C3×C4C23×D511yescharacteristic
1494C2×C3×C4C23×D511yescharacteristic
1495#67—22no—
1496#67—102no—
1497#67—102no—
1498#67—102no—
1499#67—102no—
1500#67—102no—
1501#67—201no—
1502#67—201no—
1503C2×Dic3—41no—
1504C2×Dic3—51no—
1505C2×Dic3—51no—
1506C2×Dic3—51no—
1507C2×Dic3—51no—
1508C2×Dic3—51no—
1509C2×Dic3—51no—
1510C2×Dic3—51no—
1511C2×Dic3—102no—
1512C2×Dic3—102no—
1513C2×Dic3—102no—
1514C2×Dic3—102no—
1515C2×Dic3—201no—
1516C2×Dic3C23×D511yescharacteristic
1517C2×Dic3C23×D511yescharacteristic
1518C2×Dic3C23×D511yescharacteristic
1519C2×Dic3C23×D511yescharacteristic
1520C2×Dic3C23×D511yescharacteristic
1521D12—22no—
1522D12—41no—
1523D12—102no—
1524D12—201no—
1525C4×D3—22no—
1526C4×D3—41no—
1527C4×D3—41no—
1528C4×D3—54no—
1529C4×D3—102no—
1530C4×D3—102no—
1531C4×D3—102no—
1532C4×D3—102no—
1533C4×D3—102no—
1534C4×D3—102no—
1535C4×D3—102no—
1536C4×D3—102no—
1537Dic6—41no—
1538Dic6—102no—
1539Dic6—102no—
1540Dic6—201no—
1541C22×C5—21no—
1542C22×C5—21no—
1543C22×C5—32no—
1544C22×C5—61no—
1545C22×C5—61no—
1546C22×C5—61no—
1547C22×C5—61no—
1548C22×C5—61no—
1549C22×C5—61no—
1550C22×C5—61no—
1551C22×C5—61no—
1552C22×C5—124no—
1553C22×C5C2×#23512yes—
1554C22×C5C24×D311yescharacteristic
1555C2×D5—21no—
1556C2×D5—21no—
1557C2×D5—21no—
1558C2×D5—21no—
1559C2×D5—21no—
1560C2×D5—61no—
1561C2×D5—61no—
1562C2×D5—61no—
1563C2×D5—124no—
1564C2×D5C2×#23512yes—
1565C4×C5—21no—
1566C4×C5—21no—
1567C4×C5—21no—
1568C4×C5—21no—
1569C4×C5—21no—
1570C4×C5—21no—
1571C4×C5—61no—
1572C4×C5—61no—
1573C4×C5—61no—
1574C4×C5—61no—
1575C4×C5—61no—
1576Dic5—21no—
1577Dic5—21no—
1578Dic5—21no—
1579Dic5—21no—
1580Dic5—32no—
1581Dic5—61no—
1582Dic5—61no—
1583Dic5—61no—
1584Dic5—61no—
1585Dic5—61no—
1586Dic5—61no—
1587Dic5C2×#23512yes—
1588Dic5D3×#4112yes—
1589C24—31no—
1590C24—151no—
1591#41—104no—
1592#41—304no—
1593#41—304no—
1594C2×Q8—31no—
1595C2×Q8—51no—
1596C2×Q8—151no—
1597C2×Q8—151no—
1598C2×Q8—151no—
1599C2×D4—31no—
1600C2×D4—31no—
1601C2×D4—31no—
1602C2×D4—51no—
1603C2×D4—51no—
1604C2×D4—51no—
1605C2×D4—151no—
1606C2×D4—151no—
1607C2×D4—151no—
1608C2×D4—151no—
1609C2×D4—151no—
1610C2×D4—151no—
1611C2×D4—151no—
1612C2×D4—151no—
1613C2×D4—151no—
1614C2×D4—304no—
1615C22×C4—31no—
1616C22×C4—31no—
1617C22×C4—31no—
1618C22×C4—31no—
1619C22×C4—51no—
1620C22×C4—51no—
1621C22×C4—51no—
1622C22×C4—51no—
1623C22×C4—51no—
1624C22×C4—51no—
1625C22×C4—51no—
1626C22×C4—51no—
1627C22×C4—151no—
1628C22×C4—151no—
1629C22×C4—151no—
1630C22×C4—151no—
1631C22×C4—151no—
1632C22×C4—151no—
1633C22×C4—151no—
1634C22×C4—151no—
1635C22×C4—151no—
1636C22×C4—151no—
1637C22×C4—151no—
1638C22×C4—151no—
1639C22×C4—151no—
1640C22×C4—151no—
1641C22×C4—304no—
1642C22×C4—304no—
1643C22×C4C2×D3×D511yescharacteristic
1644C4⋊C4—31no—
1645C4⋊C4—31no—
1646C4⋊C4—31no—
1647C4⋊C4—31no—
1648C4⋊C4—31no—
1649C4⋊C4—31no—
1650C4⋊C4—51no—
1651C4⋊C4—51no—
1652C4⋊C4—51no—
1653C4⋊C4—51no—
1654C4⋊C4—151no—
1655C4⋊C4—151no—
1656C4⋊C4—151no—
1657C4⋊C4—151no—
1658C4⋊C4—151no—
1659C4⋊C4—151no—
1660C4⋊C4—151no—
1661C4⋊C4—151no—
1662C4⋊C4—151no—
1663C4⋊C4—151no—
1664C4⋊C4—151no—
1665C4⋊C4—151no—
1666C4⋊C4—151no—
1667C4⋊C4—151no—
1668C4⋊C4—151no—
1669C4⋊C4—151no—
1670C4⋊C4—151no—
1671C4⋊C4—151no—
1672C4⋊C4—151no—
1673C4⋊C4—151no—
1674C4⋊C4—151no—
1675C4⋊C4—151no—
1676C4⋊C4—151no—
1677C4⋊C4—151no—
1678C4⋊C4—151no—
1679C4⋊C4—151no—
1680C4⋊C4—151no—
1681C4⋊C4—151no—
1682C4⋊C4—151no—
1683C4⋊C4—151no—
1684C4⋊C4C2×D3×D511yescharacteristic
1685C4⋊C4C2×D3×D511yescharacteristic
1686C22⋊C4—31no—
1687C22⋊C4—31no—
1688C22⋊C4—31no—
1689C22⋊C4—31no—
1690C22⋊C4—31no—
1691C22⋊C4—31no—
1692C22⋊C4—31no—
1693C22⋊C4—31no—
1694C22⋊C4—31no—
1695C22⋊C4—31no—
1696C22⋊C4—31no—
1697C22⋊C4—31no—
1698C22⋊C4—51no—
1699C22⋊C4—51no—
1700C22⋊C4—51no—
1701C22⋊C4—51no—
1702C22⋊C4—151no—
1703C22⋊C4—151no—
1704C22⋊C4—151no—
1705C22⋊C4—151no—
1706C22⋊C4—151no—
1707C22⋊C4—151no—
1708C22⋊C4—151no—
1709C22⋊C4—151no—
1710C22⋊C4—151no—
1711C22⋊C4—151no—
1712C22⋊C4—151no—
1713C22⋊C4—151no—
1714C22⋊C4—151no—
1715C22⋊C4—151no—
1716C22⋊C4—151no—
1717C22⋊C4—151no—
1718C22⋊C4—151no—
1719C22⋊C4—151no—
1720C22⋊C4—151no—
1721C22⋊C4—151no—
1722C22⋊C4—151no—
1723C22⋊C4—151no—
1724C22⋊C4—151no—
1725C22⋊C4—151no—
1726C22⋊C4C2×D3×D511yescharacteristic
1727C22⋊C4C2×D3×D511yescharacteristic
1728C42—31no—
1729C42—51no—
1730C42—51no—
1731C42—51no—
1732C42—51no—
1733C42—51no—
1734C42—51no—
1735C42—51no—
1736C42—51no—
1737C42—151no—
1738C42—151no—
1739C42—151no—
1740C42—151no—
1741C42—151no—
1742C42—151no—
1743C42—151no—
1744C42—151no—
1745C42—151no—
1746C42—151no—
1747C42—151no—
1748C42C2×D3×D511yescharacteristic
1749C42C2×D3×D511yescharacteristic
1750C3×C5#347511yescharacteristic, complemented, Hall
1751C22×C3—21no—
1752C22×C3—21no—
1753C22×C3—52no—
1754C22×C3—101no—
1755C22×C3—101no—
1756C22×C3—101no—
1757C22×C3—101no—
1758C22×C3—101no—
1759C22×C3D5×#4112yes—
1760C22×C3C24×D511yescharacteristic
1761C2×D3—21no—
1762C2×D3—21no—
1763C2×D3—21no—
1764C2×D3—21no—
1765C2×D3—21no—
1766C2×D3—21no—
1767C2×D3—21no—
1768C2×D3—21no—
1769C2×D3—44no—
1770C2×D3—101no—
1771C2×D3—101no—
1772C2×D3—101no—
1773C2×D3—204no—
1774C2×D3D5×#4112yes—
1775C3×C4—21no—
1776C3×C4—21no—
1777C3×C4—21no—
1778C3×C4—21no—
1779C3×C4—21no—
1780C3×C4—21no—
1781C3×C4—52no—
1782C3×C4—52no—
1783C3×C4—101no—
1784C3×C4—101no—
1785C3×C4—101no—
1786C3×C4—101no—
1787Dic3—21no—
1788Dic3—21no—
1789Dic3—21no—
1790Dic3—21no—
1791Dic3—21no—
1792Dic3—52no—
1793Dic3—101no—
1794Dic3—101no—
1795Dic3—101no—
1796Dic3—101no—
1797Dic3—101no—
1798Dic3—101no—
1799C2×C5—22no—
1800C2×C5—62no—
1801C2×C5—121no—
1802C2×C5—121no—
1803C2×C5C22×#23511yescharacteristic
1804C2×C5C2×D3×#4111yescharacteristic
1805C2×C5#596411yescharacteristic
1806D5—22no—
1807D5—41no—
1808D5—121no—
1809C23—31no—
1810C23—31no—
1811C23—31no—
1812C23—51no—
1813C23—51no—
1814C23—62no—
1815C23—62no—
1816C23—121no—
1817C23—151no—
1818C23—302no—
1819C23—302no—
1820C23—601no—
1821C23C22×D3×D511yescharacteristic
1822Q8—102no—
1823Q8—121no—
1824Q8—302no—
1825Q8—302no—
1826Q8—601no—
1827D4—54no—
1828D4—62no—
1829D4—62no—
1830D4—102no—
1831D4—102no—
1832D4—121no—
1833D4—302no—
1834D4—302no—
1835D4—302no—
1836D4—302no—
1837D4—302no—
1838D4—302no—
1839D4—601no—
1840D4—601no—
1841D4—601no—
1842C2×C4—22no—
1843C2×C4—31no—
1844C2×C4—31no—
1845C2×C4—31no—
1846C2×C4—31no—
1847C2×C4—31no—
1848C2×C4—51no—
1849C2×C4—51no—
1850C2×C4—51no—
1851C2×C4—51no—
1852C2×C4—51no—
1853C2×C4—51no—
1854C2×C4—62no—
1855C2×C4—102no—
1856C2×C4—102no—
1857C2×C4—102no—
1858C2×C4—102no—
1859C2×C4—102no—
1860C2×C4—121no—
1861C2×C4—121no—
1862C2×C4—121no—
1863C2×C4—154no—
1864C2×C4—151no—
1865C2×C4—151no—
1866C2×C4—151no—
1867C2×C4—151no—
1868C2×C4—151no—
1869C2×C4—151no—
1870C2×C4—151no—
1871C2×C4—201no—
1872C2×C4—201no—
1873C2×C4—201no—
1874C2×C4—302no—
1875C2×C4—302no—
1876C2×C4—302no—
1877C2×C4—302no—
1878C2×C4—302no—
1879C2×C4—302no—
1880C2×C4—302no—
1881C2×C4—302no—
1882C2×C4—302no—
1883C2×C4—302no—
1884C2×C4—302no—
1885C2×C4—302no—
1886C2×C4—601no—
1887C2×C4C22×D3×D511yescharacteristic
1888C2×C4C22×D3×D511yescharacteristic
1889C2×C4C22×D3×D511yescharacteristic
1890C2×C4C22×D3×D511yescharacteristic
1891C2×C4C22×D3×D511yescharacteristic
1892C2×C4C22×D3×D511yescharacteristic
1893C2×C3—22no—
1894C2×C3—102no—
1895C2×C3—201no—
1896C2×C3C2×D5×#4111yescharacteristic
1897C2×C3C2×D5×#4111yescharacteristic
1898C2×C3#6628511yescharacteristic
1899D3—22no—
1900D3—41no—
1901D3—41no—
1902D3—201no—
1903C5#8584111yescharacteristic, complemented, Sylow
1904C22—21no—
1905C22—21no—
1906C22—32no—
1907C22—52no—
1908C22—61no—
1909C22—61no—
1910C22—61no—
1911C22—61no—
1912C22—61no—
1913C22—61no—
1914C22—61no—
1915C22—61no—
1916C22—101no—
1917C22—101no—
1918C22—101no—
1919C22—101no—
1920C22—101no—
1921C22—124no—
1922C22—301no—
1923C22—301no—
1924C22—301no—
1925C22—604no—
1926C22D5×#23512yes—
1927C22C23×D3×D511yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—21no—
1931C4—21no—
1932C4—21no—
1933C4—21no—
1934C4—52no—
1935C4—52no—
1936C4—61no—
1937C4—61no—
1938C4—61no—
1939C4—61no—
1940C4—61no—
1941C4—101no—
1942C4—101no—
1943C4—101no—
1944C4—101no—
1945C4—152no—
1946C4—301no—
1947C4—301no—
1948C4—301no—
1949C4—301no—
1950C4—301no—
1951C4—301no—
1952C3#1061869111yescharacteristic, complemented, Sylow
1953C2—22no—
1954C2—62no—
1955C2—102no—
1956C2—121no—
1957C2—121no—
1958C2—201no—
1959C2—601no—
1960C2C2×D5×#23511yescharacteristic
1961C2D3×D5×#4111yescharacteristic
1962C2#1175705911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#117C22
hypercenter#117D3×D5
hypocenterC3×C5#3475
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
1. #11756290C2semidirect
2. C5×#5527C2semidirect
3. C3×#65856C2semidirect
4. #11754636C2semidirect
5. #11754409C2semidirect
6. #11754307C2semidirect
7. C2×#91398C2semidirect
8. #11753898C2semidirect
9. #11753862C2semidirect
10. #11753496C2semidirect
11. #11753493C2semidirect
12. #11753490C2semidirect
13. #11753485C2semidirect
14. #11753477C2semidirect
15. #11753457C2semidirect
16. #11753265C2semidirect
17. D3×#4027C2semidirect
18. #11753157C2semidirect
19. #11753134C2semidirect
20. #11753108C2semidirect
21. #11753021C2semidirect
22. #11752840C2semidirect
23. #11752820C2semidirect
24. #11752758C2semidirect
25. D5×#872C2semidirect
26. #11752688C2semidirect
27. #11752686C2semidirect
28. #11752684C2semidirect
29. #11752683C2semidirect
30. C4×#6772C2semidirect
31. #11752572C2semidirect
39. C3×C5×#117C22semidirect
41. C2×#6712C22semidirect
42. #91787C22semidirect
43. #91785C22semidirect
44. #91778C22semidirect
45. #91778C22semidirect
48. #91767C22semidirect
49. #91766C22semidirect
50. #91765C22semidirect
51. #91761C22semidirect
52. #91759C22semidirect
53. C4×Dic30C22semidirect
54. C5×#929C22semidirect
56. C5×#898C22semidirect
59. C5×#894C22semidirect
61. C5×#67⋊C4C22semidirect
63. C5×#878C22semidirect
64. C5×#876C22semidirect
65. C5×#875C22semidirect
68. C2×C3×C4×Dic5C22semidirect
69. C3×#4039C22semidirect
70. C3×#4039C22semidirect
71. C3×#4033C22semidirect
72. C3×#4033C22semidirect
75. C3×#4027C22semidirect
76. C3×#4027C22semidirect
77. C3×#4018C22semidirect
78. C3×#4018C22semidirect
79. C3×C42×D5C22semidirect
80. C3×C42×D5C22semidirect
81. #91574C22semidirect
82. #91571C22semidirect
89. Dic5×#67C22semidirect
90. C2×#6669C22semidirect
92. #91537C22semidirect
93. C2×Dic3×Dic5C22semidirect
99. #91464C22semidirect
100. #91461C22semidirect
102. #91455C22semidirect
103. #91453C22semidirect
108. #91447C22semidirect
109. #91447C22semidirect
110. #91444C22semidirect
112. #91441C22semidirect
115. #91440C22semidirect
116. #91440C22semidirect
117. #91440C22semidirect
119. C4×#1201C22semidirect
120. #91432C22semidirect
121. #91431C22semidirect
122. #91430C22semidirect
127. Dic5×D12C22semidirect
130. #91410C22semidirect
132. #91408C22semidirect
133. #91407C22semidirect
136. #91405C22semidirect
137. #91402C22semidirect
138. #91402C22semidirect
139. #91400C22semidirect
146. #91398C22semidirect
147. #91398C22semidirect
148. #91398C22semidirect
149. #91398C22semidirect
150. #91398C22semidirect
152. C4×D3×Dic5C22semidirect
153. #91394C22semidirect
154. D5×Dic3⋊C4C22semidirect
155. D5×Dic3⋊C4C22semidirect
156. C4×D5×Dic3C22semidirect
157. #91387C22semidirect
158. #91386C22semidirect
159. #91382C22semidirect
160. #91378C22semidirect
161. #91378C22semidirect
162. #91372C22semidirect
163. #91372C22semidirect
164. #91372C22semidirect
166. #91367C22semidirect
167. #91363C22semidirect
168. #91362C22semidirect
169. #91359C22semidirect
170. #91358C22semidirect
172. #91351C22semidirect
174. #91350C22semidirect
175. #91349C22semidirect
176. #91348C22semidirect
177. #91343C22semidirect
178. #91337C22semidirect
179. #91334C22semidirect
180. #91333C22semidirect
181. Dic5×Dic6C22semidirect
182. #91329C22semidirect
183. #91327C22semidirect
185. #91324C22semidirect
186. #91323C22semidirect
187. #91323C22semidirect
214. #65856D3semidirect
405. #5527D5semidirect
430. C5×#117C2×D3semidirect
466. C2×C4×Dic5C2×D3semidirect
478. #4039C2×D3semidirect
479. #4039C2×D3semidirect
497. #4033C2×D3semidirect
498. #4033C2×D3semidirect
529. #4027C2×D3semidirect
530. #4027C2×D3semidirect
559. #4018C2×D3semidirect
560. #4018C2×D3semidirect
562. C42×D5C2×D3semidirect
563. C42×D5C2×D3semidirect
614. C3×C22⋊D5#41semidirect
648. D3×Dic5#41semidirect
668. C3×#117C2×D5semidirect
694. #929C2×D5semidirect
722. #898C2×D5semidirect
732. #894C2×D5semidirect
756. #67⋊C4C2×D5semidirect
764. #878C2×D5semidirect
772. #876C2×D5semidirect
775. #875C2×D5semidirect
1250. C22⋊D5#235semidirect
1428. #117D3×D5semidirect
1750. C3×C5#3475semidirect
1903. C5#85841semidirect
1952. C3#10618691semidirect

Maximal subgroups

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

subgroupindex
#117562902
C5×#55272
C3×#658562
#117546362
#117544092
#117543072
C2×#913982
#117538982
#117538622
#117534962
#117534932
#117534902
#117534852
#117534772
#117534572
#117532652
D3×#40272
#117531572
#117531342
#117531082
#117530212
#117528402
#117528202
#117527582
D5×#8722
#117526882
#117526862
#117526842
#117526832
C4×#67722
#117525722
#106186913
#858415