Finite Group Databasebeta

← #14495497

Subgroups — #14495497

Order 1920.

2116 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756471C211yesmaximal, characteristic, complemented
2C5×#5711C211yesmaximal, characteristic, complemented
3C3×#66040C211yesmaximal, characteristic, complemented
4#11753940C211yesmaximal, characteristic, complemented
5#11753873C211yesmaximal, characteristic, complemented
6#11753862C211yesmaximal, characteristic, complemented
7#11753816C211yesmaximal, characteristic, complemented
8#11753814C211yesmaximal, characteristic, complemented
9#11753680C211yesmaximal, characteristic, complemented
10#11753654C211yesmaximal, characteristic, complemented
11#11753643C211yesmaximal, characteristic, complemented
12#11753535C211yesmaximal, characteristic, complemented
13#11753490C211yesmaximal, characteristic, complemented
14#11753488C211yesmaximal, characteristic, complemented
15#11753377C211yesmaximal, characteristic, complemented
16#11753301C211yesmaximal, characteristic, complemented
17#11753300C211yesmaximal, characteristic, complemented
18#11753249C211yesmaximal, characteristic, complemented
19#11753177C211yesmaximal, characteristic, complemented
20#11753174C211yesmaximal, characteristic, complemented
21#11753171C211yesmaximal, characteristic, complemented
22#11753169C211yesmaximal, characteristic, complemented
23#11752895C211yesmaximal, characteristic, complemented
24#11752871C211yesmaximal, characteristic, complemented
25#11752843C211yesmaximal, characteristic, complemented
26#11752840C211yesmaximal, characteristic, complemented
27#11752840C211yesmaximal, characteristic, complemented
28#11752774C211yesmaximal, characteristic, complemented
29#11752684C211yesmaximal, characteristic, complemented
30#11752672C211yesmaximal, characteristic, complemented
31#11752659C211yesmaximal, characteristic, complemented
32#10618971—31nomaximal, Hall
33C2×#6782C2211yescharacteristic
34C22×D3×Dic5C2211yescharacteristic, complemented
35C2×C4×D3×D5C2211yescharacteristic, complemented
36C2×#6772C2211yescharacteristic
37C2×#6772C2211yescharacteristic
38C2×#6772C2211yescharacteristic, complemented
39C3×C5×#126C2211yescharacteristic, complemented
40#91787C2211yescharacteristic, complemented
41#91786C2211yescharacteristic, complemented
42#91785C2211yescharacteristic, complemented
43#91779C2211yescharacteristic, complemented
44#91778C2211yescharacteristic, complemented
45#91777C2211yescharacteristic, complemented
46#91775C2211yescharacteristic
47#91774C2211yescharacteristic
48#91772C2211yescharacteristic
49#91768C2211yescharacteristic, complemented
50#91767C2211yescharacteristic, complemented
51#91767C2211yescharacteristic, complemented
52#91765C2211yescharacteristic, complemented
53#91758C2211yescharacteristic, complemented
54C5×#895C2211yescharacteristic
55C5×#895C2211yescharacteristic
56C5×#895C2211yescharacteristic, complemented
57C5×#894C2211yescharacteristic
58C5×#894C2211yescharacteristic, complemented
59C5×#894C2211yescharacteristic, complemented
60C5×#884C2211yescharacteristic
61C5×#884C2211yescharacteristic
62C5×#884C2211yescharacteristic, complemented
63C5×#882C2211yescharacteristic
64C5×#882C2211yescharacteristic, complemented
65C5×#882C2211yescharacteristic, complemented
66C5×#876C2211yescharacteristic, complemented
67C5×#874C2211yescharacteristic
68C3×#4042C2211yescharacteristic, complemented
69C3×#4040C2211yescharacteristic, complemented
70C3×#4039C2211yescharacteristic, complemented
71C3×#4038C2211yescharacteristic, complemented
72C3×#4035C2211yescharacteristic, complemented
73C3×#4033C2211yescharacteristic, complemented
74C3×#4031C2211yescharacteristic
75C3×#4030C2211yescharacteristic
76C3×#4029C2211yescharacteristic, complemented
77C3×#4027C2211yescharacteristic
78C3×#4027C2211yescharacteristic, complemented
79C3×#4023C2211yescharacteristic, complemented
80C3×#4022C2211yescharacteristic, complemented
81C3×C42×D5C2211yescharacteristic, complemented
82#91577C2211yescharacteristic
83#91571C2211yescharacteristic
84#91571C2211yescharacteristic
85#91570C2211yescharacteristic
86#91568C2211yescharacteristic
87#91568C2211yescharacteristic, complemented
88#91567C2211yescharacteristic
89#91565C2211yescharacteristic, complemented
90#91555C2211yescharacteristic, complemented
91Dic5×#67C2211yescharacteristic
92Dic5×#67C2211yescharacteristic, complemented
93#91549C2211yescharacteristic
94#91543C2211yescharacteristic, complemented
95#91525C2211yescharacteristic
96#91475C2211yescharacteristic
97#91475C2211yescharacteristic
98#91475C2211yescharacteristic, complemented
99#91475C2211yescharacteristic, complemented
100#91474C2211yescharacteristic, complemented
101#91466C2211yescharacteristic
102#91464C2211yescharacteristic
103#91464C2211yescharacteristic, complemented
104#91463C2211yescharacteristic
105#91462C2211yescharacteristic
106#91462C2211yescharacteristic, complemented
107#91461C2211yescharacteristic
108#91457C2211yescharacteristic
109#91457C2211yescharacteristic, complemented
110#91456C2211yescharacteristic, complemented
111#91454C2211yescharacteristic, complemented
112#91453C2211yescharacteristic
113#91453C2211yescharacteristic
114#91453C2211yescharacteristic
115#91453C2211yescharacteristic, complemented
116#91453C2211yescharacteristic, complemented
117#91452C2211yescharacteristic, complemented
118#91452C2211yescharacteristic, complemented
119#91449C2211yescharacteristic, complemented
120#91449C2211yescharacteristic, complemented
121#91449C2211yescharacteristic, complemented
122#91449C2211yescharacteristic, complemented
123#91448C2211yescharacteristic
124#91447C2211yescharacteristic, complemented
125#91444C2211yescharacteristic, complemented
126#91440C2211yescharacteristic
127#91440C2211yescharacteristic, complemented
128#91440C2211yescharacteristic, complemented
129#91436C2211yescharacteristic, complemented
130#91432C2211yescharacteristic, complemented
131#91432C2211yescharacteristic, complemented
132#91431C2211yescharacteristic, complemented
133#91423C2211yescharacteristic
134#91423C2211yescharacteristic, complemented
135#91423C2211yescharacteristic, complemented
136#91423C2211yescharacteristic, complemented
137#91423C2211yescharacteristic, complemented
138#91422C2211yescharacteristic, complemented
139#91417C2211yescharacteristic, complemented
140#91417C2211yescharacteristic, complemented
141#91416C2211yescharacteristic
142#91416C2211yescharacteristic
143#91416C2211yescharacteristic
144#91416C2211yescharacteristic, complemented
145Dic5×D12C2211yescharacteristic
146Dic5×D12C2211yescharacteristic, complemented
147Dic5×D12C2211yescharacteristic, complemented
148Dic5×D12C2211yescharacteristic, complemented
149Dic5×D12C2211yescharacteristic, complemented
150Dic5×D12C2211yescharacteristic, complemented
151#91414C2211yescharacteristic
152#91414C2211yescharacteristic, complemented
153#91410C2211yescharacteristic, complemented
154#91408C2211yescharacteristic
155#91405C2211yescharacteristic
156#91405C2211yescharacteristic
157#91405C2211yescharacteristic, complemented
158#91402C2211yescharacteristic, complemented
159#91398C2211yescharacteristic, complemented
160#91398C2211yescharacteristic, complemented
161#91398C2211yescharacteristic, complemented
162C4×D3×Dic5C2211yescharacteristic, complemented
163C4×D3×Dic5C2211yescharacteristic, complemented
164#91378C2211yescharacteristic, complemented
165#91373C2211yescharacteristic
166#91373C2211yescharacteristic, complemented
167#91370C2211yescharacteristic
168#91369C2211yescharacteristic, complemented
169#91367C2211yescharacteristic, complemented
170#91367C2211yescharacteristic, complemented
171#91365C2211yescharacteristic, complemented
172#91362C2211yescharacteristic, complemented
173#91355C2211yescharacteristic, complemented
174#91352C2211yescharacteristic, complemented
175#91352C2211yescharacteristic, complemented
176#91351C2211yescharacteristic, complemented
177#91350C2211yescharacteristic
178#91349C2211yescharacteristic, complemented
179#91348C2211yescharacteristic, complemented
180#91343C2211yescharacteristic, complemented
181#91342C2211yescharacteristic, complemented
182#91342C2211yescharacteristic, complemented
183#91341C2211yescharacteristic, complemented
184#91334C2211yescharacteristic, complemented
185#91328C2211yescharacteristic, complemented
186#91326C2211yescharacteristic
187#91323C2211yescharacteristic, complemented
188#86171—51nomaximal, Hall
189C5×#560—31no—
190#66054—31no—
191#66050—31no—
192#66046—31no—
193#66046—31no—
194#66040—31no—
195#66040D311yescharacteristic, complemented
196#66001—31no—
197#66001—31no—
198#65990—31no—
199#65985—31no—
200#65983—31no—
201#65983—31no—
202#65955—31no—
203#65955—31no—
204#65955—31no—
205#65955—31no—
206#65954—31no—
207#65954—31no—
208#65940—31no—
209#65940—31no—
210#65934—31no—
211#65934—31no—
212#65930—31no—
213#65930—31no—
214#65929—31no—
215#65929—31no—
216#65928—31no—
217#65920—31no—
218#65920—31no—
219#65920—31no—
220C23×C5×D3C2311yescharacteristic
221C22×D3×D5C2311yescharacteristic
222C2×#1220C2311yescharacteristic
223C22×Dic15C2311yescharacteristic
224C2×C4×D15C2311yescharacteristic
225C2×Dic30C2311yescharacteristic
226C2×Dic30C2311yescharacteristic
227C2×Dic30C2311yescharacteristic
228C2×C5×#67C2311yescharacteristic
229C2×C5×#67C2311yescharacteristic
230C2×C5×#67C2311yescharacteristic
231C2×C5×D12C2311yescharacteristic
232C2×C5×D12C2311yescharacteristic
233C2×C5×D12C2311yescharacteristic
234C2×C5×D12C2311yescharacteristic
235C2×C5×D12C2311yescharacteristic
236C2×C5×D12C2311yescharacteristic
237C2×C5×D12C2311yescharacteristic
238C2×C5×D12C2311yescharacteristic
239C2×C5×D12C2311yescharacteristic
240C2×C4×C5×D3C2311yescharacteristic
241C2×C4×C5×D3C2311yescharacteristic
242C2×C4×C5×D3C2311yescharacteristic
243C2×C3×C22⋊D5C2311yescharacteristic
244C2×C3×C22⋊D5C2311yescharacteristic
245C22×C3×Dic5C2311yescharacteristic
246C2×C3×D20C2311yescharacteristic
247C2×C3×C4×D5C2311yescharacteristic
248C2×C3×C4×D5C2311yescharacteristic
249C2×C3×C4×D5C2311yescharacteristic
250C2×C3×C4×D5C2311yescharacteristic
251C2×C3×Dic10C2311yescharacteristic
252C2×#1204C2311yescharacteristic
253C2×#1204C2311yescharacteristic
254C2×#1203C2311yescharacteristic
255C2×#1203C2311yescharacteristic
256C2×#1203C2311yescharacteristic
257C2×#1203C2311yescharacteristic
258C2×#1202C2311yescharacteristic
259C2×#1201C2311yescharacteristic
260C2×#1201C2311yescharacteristic
261C2×#1201C2311yescharacteristic
262C2×#1201C2311yescharacteristic
263C2×#1201C2311yescharacteristic
264C2×#1201C2311yescharacteristic
265C2×#1201C2311yescharacteristic
266C2×#1201C2311yescharacteristic
267C2×#1201C2311yescharacteristic
268C2×#1200C2311yescharacteristic
269#6782—42no—
270C2×D3×Dic5—42no—
271C2×D3×Dic5C2311yescharacteristic
272C2×D3×Dic5C2311yescharacteristic
273C2×D3×Dic5C2311yescharacteristic
274C2×D3×Dic5C2311yescharacteristic
275C2×D3×Dic5C2311yescharacteristic
276C2×D3×Dic5C2311yescharacteristic
277C2×D3×Dic5C2311yescharacteristic
278C2×D3×Dic5C2311yescharacteristic
279C2×D3×Dic5C2311yescharacteristic
280C2×D5×Dic3C2311yescharacteristic
281C4×D3×D5—42no—
282#6772—42no—
283#6772—42no—
284#6772—42no—
285C3×C5×C4⋊C4C2311yescharacteristic
286C3×C5×C4⋊C4C2311yescharacteristic
287C3×C5×C4⋊C4C2311yescharacteristic
288C3×C5×C22⋊C4C2311yescharacteristic
289C3×C5×C22⋊C4C2311yescharacteristic
290C3×C5×C22⋊C4C2311yescharacteristic
291C3×C42×C5C2311yescharacteristic
292#6719C2311yescharacteristic
293#6719C2311yescharacteristic
294#6714C2311yescharacteristic
295#6714C2311yescharacteristic
296#6714C2311yescharacteristic
297#6714C2311yescharacteristic
298#6714C2311yescharacteristic
299C4⋊Dic15C2311yescharacteristic
300C4⋊Dic15C2311yescharacteristic
301C4⋊Dic15C2311yescharacteristic
302C4⋊Dic15C2311yescharacteristic
303C4⋊Dic15C2311yescharacteristic
304C4⋊Dic15C2311yescharacteristic
305#6712C2311yescharacteristic
306#6712C2311yescharacteristic
307#6712C2311yescharacteristic
308#6712C2311yescharacteristic
309#6712C2311yescharacteristic
310#6712C2311yescharacteristic
311#6712C2311yescharacteristic
312C4×Dic15C2311yescharacteristic
313C4×Dic15C2311yescharacteristic
314C5×(C2×D3)⋊C4C2311yescharacteristic
315C5×(C2×D3)⋊C4C2311yescharacteristic
316C5×(C2×D3)⋊C4C2311yescharacteristic
317C5×(C2×D3)⋊C4C2311yescharacteristic
318C5×(C2×D3)⋊C4C2311yescharacteristic
319C5×(C2×D3)⋊C4C2311yescharacteristic
320C5×(C2×D3)⋊C4C2311yescharacteristic
321C5×(C2×D3)⋊C4C2311yescharacteristic
322C5×(C2×D3)⋊C4C2311yescharacteristic
323C5×Dic3⋊C4C2311yescharacteristic
324C5×Dic3⋊C4C2311yescharacteristic
325C5×Dic3⋊C4C2311yescharacteristic
326C3×C22⋊Dic5C2311yescharacteristic
327C3×#685C2311yescharacteristic
328C3×#685C2311yescharacteristic
329C3×#685C2311yescharacteristic
330C3×#685C2311yescharacteristic
331C3×#685C2311yescharacteristic
332C3×#685C2311yescharacteristic
333C3×C4⋊Dic5C2311yescharacteristic
334C3×#683C2311yescharacteristic
335C3×#683C2311yescharacteristic
336C3×#683C2311yescharacteristic
337C3×#683C2311yescharacteristic
338C3×#683C2311yescharacteristic
339C3×#683C2311yescharacteristic
340C3×C4×Dic5C2311yescharacteristic
341C3×C4×Dic5C2311yescharacteristic
342C3×C4×Dic5C2311yescharacteristic
343C3×C4×Dic5C2311yescharacteristic
344C3×C4×Dic5C2311yescharacteristic
345Dic3⋊Dic5C2311yescharacteristic
346Dic3⋊Dic5C2311yescharacteristic
347Dic3⋊Dic5C2311yescharacteristic
348#6669C2311yescharacteristic
349#6669C2311yescharacteristic
350#6669C2311yescharacteristic
351#6668C2311yescharacteristic
352#6668C2311yescharacteristic
353#6668C2311yescharacteristic
354#6668C2311yescharacteristic
355#6667C2311yescharacteristic
356(C2×D3)⋊Dic5C2311yescharacteristic
357(C2×D3)⋊Dic5C2311yescharacteristic
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(C2×D3)⋊Dic5C2311yescharacteristic
368(C2×D3)⋊Dic5C2311yescharacteristic
369(C2×D3)⋊Dic5C2311yescharacteristic
370(C2×D3)⋊Dic5C2311yescharacteristic
371(C2×D3)⋊Dic5C2311yescharacteristic
372(C2×D3)⋊Dic5C2311yescharacteristic
373#6665C2311yescharacteristic
374#6665C2311yescharacteristic
375#6665C2311yescharacteristic
376#6665C2311yescharacteristic
377Dic3×Dic5C2311yescharacteristic
378Dic3×Dic5C2311yescharacteristic
379Dic3×Dic5C2311yescharacteristic
380Dic3×Dic5C2311yescharacteristic
381C3×#529—51no—
382#5712—51no—
383#5712—51no—
384#5711—51no—
385#5711D511yescharacteristic, complemented
386#5700—51no—
387#5699—51no—
388#5684—51no—
389#5683—51no—
390#5667—51no—
391#5667—51no—
392#5666—51no—
393#5666—51no—
394#5647—51no—
395#5647—51no—
396#5620—51no—
397#5620—51no—
398#5580—51no—
399#5580—51no—
400#5548—51no—
401#5548—51no—
402#5547—51no—
403#5547—51no—
404#5547—51no—
405#5547—51no—
406#5528—51no—
407#5528—51no—
408#5524—51no—
409#5524—51no—
410#5479—51no—
411#5477—51no—
412C23×Dic5—31no—
413C2×#711—31no—
414C2×#711—31no—
415C2×#711—31no—
416C2×#711—31no—
417C22×C4×D5—31no—
418C5×#127—31no—
419C5×#126—31no—
420C5×#126C2×D311yescharacteristic, complemented
421C5×#123—31no—
422C5×#123—31no—
423C5×#123—31no—
424C5×#121—31no—
425C5×#121—31no—
426C5×#121—31no—
427C5×#121—31no—
428C5×#121—31no—
429C5×#121—31no—
430C5×#120—31no—
431C5×#120—31no—
432C5×#120—31no—
433#4099—31no—
434#4099—31no—
435#4099—31no—
436#4086—31no—
437#4086—31no—
438#4085—31no—
439#4085—31no—
440#4085—31no—
441#4085—31no—
442#4085—31no—
443#4085—31no—
444#4085—31no—
445#4085—31no—
446#4085—31no—
447#4085—31no—
448#4085—31no—
449#4085—31no—
450#4084—31no—
451#4084—31no—
452#4084—31no—
453#4084—31no—
454#4084—31no—
455#4084—31no—
456#4083—31no—
457#4083—31no—
458#4083—31no—
459#4083—31no—
460#4083—31no—
461#4082—31no—
462#4082—31no—
463#4082—31no—
464#4082—31no—
465#4081—31no—
466#4081—31no—
467#4081—31no—
468#4081—31no—
469#4081—31no—
470#4081—31no—
471#4081—31no—
472D4×Dic5—31no—
473D4×Dic5—31no—
474D4×Dic5—31no—
475D4×Dic5—31no—
476D4×Dic5—31no—
477D4×Dic5—31no—
478D4×Dic5—31no—
479D4×Dic5—31no—
480#4076—31no—
481#4076—31no—
482#4075—31no—
483#4075—31no—
484#4075—31no—
485#4070—31no—
486#4070—31no—
487#4070—31no—
488#4070—31no—
489C2×C4×Dic5—31no—
490C2×C4×Dic5—31no—
491#4044—31no—
492#4044—31no—
493#4043—31no—
494#4043—31no—
495#4042—31no—
496#4042—31no—
497#4042—31no—
498#4042C2×D311yescharacteristic, complemented
499#4040—31no—
500#4040C2×D311yescharacteristic, complemented
501#4039—31no—
502#4039C2×D311yescharacteristic, complemented
503#4038—31no—
504#4038C2×D311yescharacteristic, complemented
505#4036—31no—
506#4036—31no—
507#4035—31no—
508#4035—31no—
509#4035—31no—
510#4035C2×D311yescharacteristic, complemented
511#4034—31no—
512#4034—31no—
513#4033—31no—
514#4033C2×D311yescharacteristic, complemented
515#4032—31no—
516#4032—31no—
517#4032—31no—
518#4031—31no—
519#4031—31no—
520#4031—31no—
521#4031—31no—
522#4031—31no—
523#4031—31no—
524#4031—31no—
525#4031C2×D311yescharacteristic
526#4030—31no—
527#4030—31no—
528#4030—31no—
529#4030C2×D311yescharacteristic
530#4029—31no—
531#4029—31no—
532#4029—31no—
533#4029—31no—
534#4029—31no—
535#4029C2×D311yescharacteristic, complemented
536#4028—31no—
537#4027—31no—
538#4027—31no—
539#4027—31no—
540#4027—31no—
541#4027—31no—
542#4027—31no—
543#4027C2×D311yescharacteristic
544#4027C2×D311yescharacteristic, complemented
545#4025—31no—
546#4025—31no—
547#4025—31no—
548#4025—31no—
549#4025—31no—
550#4025—31no—
551#4024—31no—
552#4024—31no—
553#4024—31no—
554#4024—31no—
555#4024—31no—
556#4024—31no—
557#4024—31no—
558#4024—31no—
559#4023—31no—
560#4023—31no—
561#4023—31no—
562#4023C2×D311yescharacteristic, complemented
563#4022—31no—
564#4022C2×D311yescharacteristic, complemented
565C42×D5C2×D311yescharacteristic, complemented
566#4015—31no—
567#3529—151noSylow
568C23×C3×C5C2411yescharacteristic
569C22×D15C2411yescharacteristic
570C22×C5×D3—41no—
571C22×C5×D3—41no—
572C22×C5×D3—41no—
573C22×C5×D3C2411yescharacteristic
574C22×C5×D3C2411yescharacteristic
575C22×C5×D3C2411yescharacteristic
576C22×C5×D3C2411yescharacteristic
577C22×C5×D3C2411yescharacteristic
578C22×C3×D5C2411yescharacteristic
579C22×C3×D5C2411yescharacteristic
580C2×D3×D5—41no—
581C2×D3×D5—41no—
582C2×D3×D5—41no—
583C2×C3×C4×C5C2411yescharacteristic
584C2×C3×C4×C5C2411yescharacteristic
585C2×C3×C4×C5C2411yescharacteristic
586C2×C3×C4×C5C2411yescharacteristic
587C2×C3×C4×C5C2411yescharacteristic
588C2×C3×C4×C5C2411yescharacteristic
589#1220—41no—
590C2×Dic15—41no—
591C2×Dic15C2411yescharacteristic
592C2×Dic15C2411yescharacteristic
593C2×Dic15C2411yescharacteristic
594C2×Dic15C2411yescharacteristic
595C2×Dic15C2411yescharacteristic
596C2×Dic15C2411yescharacteristic
597C2×Dic15C2411yescharacteristic
598C4×D15—41no—
599Dic30—41no—
600Dic30—41no—
601Dic30—41no—
602C5×#67—41no—
603C5×#67—41no—
604C5×#67—41no—
605C2×C5×Dic3C2411yescharacteristic
606C2×C5×Dic3C2411yescharacteristic
607C2×C5×Dic3C2411yescharacteristic
608C5×D12—41no—
609C5×D12—41no—
610C5×D12—41no—
611C5×D12—41no—
612C5×D12—41no—
613C5×D12—41no—
614C5×D12—41no—
615C5×D12—41no—
616C5×D12—41no—
617C4×C5×D3—41no—
618C4×C5×D3—41no—
619C4×C5×D3—41no—
620C3×C22⋊D5—41no—
621C3×C22⋊D5—41no—
622C2×C3×Dic5—22no—
623C2×C3×Dic5C2411yescharacteristic
624C2×C3×Dic5C2411yescharacteristic
625C2×C3×Dic5C2411yescharacteristic
626C2×C3×Dic5C2411yescharacteristic
627C2×C3×Dic5C2411yescharacteristic
628C2×C3×Dic5C2411yescharacteristic
629C3×D20—41no—
630C3×C4×D5—22no—
631C3×C4×D5—22no—
632C3×C4×D5—41no—
633C3×C4×D5—41no—
634C3×Dic10—41no—
635#1204—41no—
636#1204—41no—
637#1203—41no—
638#1203—41no—
639#1203—41no—
640#1203—41no—
641#1202—41no—
642#1201—41no—
643#1201—41no—
644#1201—41no—
645#1201—41no—
646#1201—41no—
647#1201—41no—
648#1201—41no—
649#1201—41no—
650#1201—41no—
651#1200—22no—
652D3×Dic5—22no—
653D3×Dic5—22no—
654D3×Dic5—22no—
655D3×Dic5—22no—
656D3×Dic5—22no—
657D3×Dic5—41no—
658D3×Dic5—41no—
659D3×Dic5—41no—
660D3×Dic5—41no—
661D5×Dic3—41no—
662C2×#235—51no—
663C2×#235—51no—
664C2×#235—51no—
665C2×#235—51no—
666C22×C4×D3—51no—
667C22×C4×D3—51no—
668C3×#126—51no—
669C3×#126C2×D511yescharacteristic, complemented
670C3×#125—51no—
671C3×#124—51no—
672C3×#123—51no—
673C3×#123—51no—
674C3×C22⋊Q8—51no—
675C3×#121—51no—
676C3×C4×Q8—51no—
677C3×C4×D4—51no—
678C3×C4×D4—51no—
679C3×C4×D4—51no—
680C3×#117—51no—
681C3×#117—51no—
682C2×C3×C42—51no—
683#947—51no—
684#947—51no—
685#946—51no—
686#946—51no—
687#940—51no—
688#940—51no—
689#939—51no—
690#939—51no—
691#939—51no—
692#939—51no—
693#938—51no—
694#938—51no—
695#937—51no—
696#937—51no—
697#937—51no—
698#937—51no—
699#930—51no—
700#930—51no—
701#930—51no—
702#930—51no—
703#930—51no—
704#929—51no—
705#929—51no—
706C4×#67—51no—
707C4×#67—51no—
708C4×#67—51no—
709C4×#67—51no—
710C4×#67—51no—
711C4×#67—51no—
712#924—51no—
713#898—51no—
714#898—51no—
715#898—51no—
716#898—51no—
717#898—51no—
718#898—51no—
719#897—51no—
720#897—51no—
721#897—51no—
722#897—51no—
723#896—51no—
724#896—51no—
725#896—51no—
726#896—51no—
727#896—51no—
728#896—51no—
729#895—51no—
730#895—51no—
731#895—51no—
732#895—51no—
733#895—51no—
734#895C2×D511yescharacteristic
735#895C2×D511yescharacteristic
736#895C2×D511yescharacteristic, complemented
737#894—51no—
738#894—51no—
739#894—51no—
740#894—51no—
741#894—51no—
742#894—51no—
743#894—51no—
744#894C2×D511yescharacteristic
745#894C2×D511yescharacteristic, complemented
746#894C2×D511yescharacteristic, complemented
747#890—51no—
748#890—51no—
749#889—51no—
750#889—51no—
751#888—51no—
752#888—51no—
753#886—51no—
754#886—51no—
755#886—51no—
756#886—51no—
757#885—51no—
758#885—51no—
759#885—51no—
760#885—51no—
761#885—51no—
762#885—51no—
763#884—51no—
764#884—51no—
765#884—51no—
766#884—51no—
767#884—51no—
768#884—51no—
769#884—51no—
770#884C2×D511yescharacteristic
771#884C2×D511yescharacteristic
772#884C2×D511yescharacteristic, complemented
773#883—51no—
774#883—51no—
775#883—51no—
776#883—51no—
777#883—51no—
778#883—51no—
779#882—51no—
780#882—51no—
781#882—51no—
782#882—51no—
783#882—51no—
784#882C2×D511yescharacteristic
785#882C2×D511yescharacteristic, complemented
786#882C2×D511yescharacteristic, complemented
787#879—51no—
788#879—51no—
789#878—51no—
790#878—51no—
791#878—51no—
792#878—51no—
793#876—51no—
794#876C2×D511yescharacteristic, complemented
795#875—51no—
796#875—51no—
797#875—51no—
798#874C2×D511yescharacteristic
799C4×D12—51no—
800C4×D12—51no—
801C4×D12—51no—
802C4×D12—51no—
803C4×D12—51no—
804C4×D12—51no—
805C4×D12—51no—
806C4×D12—51no—
807C4×D12—51no—
808#872—51no—
809#872—51no—
810#872—51no—
811#872—51no—
812C42×D3—51no—
813C42×D3—51no—
814#870—51no—
815#869—51no—
816C4×Dic6—51no—
817C24×C5—31no—
818C23×D5—31no—
819C2×C5×D4—31no—
820C2×C5×D4—31no—
821C2×C5×D4—31no—
822C2×C5×D4—31no—
823C2×C5×D4—31no—
824C2×C5×D4—31no—
825C2×C5×D4—31no—
826C2×C5×D4—31no—
827C2×C5×D4—31no—
828C2×C5×D4—31no—
829C2×C5×D4—31no—
830C2×C5×D4—31no—
831C22×C4×C5—31no—
832C22×C4×C5—31no—
833C22×C4×C5—31no—
834C2×C22⋊D5—31no—
835C2×C22⋊D5—31no—
836C2×C22⋊D5—31no—
837C2×C22⋊D5—31no—
838C2×C22⋊D5—31no—
839C2×C22⋊D5—31no—
840C2×C22⋊D5—31no—
841C2×C22⋊D5—31no—
842C2×C22⋊D5—31no—
843C2×C22⋊D5—31no—
844C2×C22⋊D5—31no—
845C2×C22⋊D5—31no—
846C2×C22⋊D5—31no—
847C2×C22⋊D5—31no—
848C2×C22⋊D5C22×D311yescharacteristic
849C2×C22⋊D5C22×D311yescharacteristic
850C22×Dic5—31no—
851C22×Dic5—31no—
852C22×Dic5—31no—
853C22×Dic5—31no—
854C22×Dic5—31no—
855C22×Dic5—31no—
856C22×Dic5—31no—
857C22×Dic5—31no—
858C22×Dic5—31no—
859C22×Dic5—31no—
860C22×Dic5—122no—
861C22×Dic5C22×D311yescharacteristic
862#711—122no—
863#711—122no—
864#711—122no—
865#711—122no—
866C2×D20—31no—
867C2×D20C22×D311yescharacteristic
868C2×C4×D5—31no—
869C2×C4×D5—31no—
870C2×C4×D5—31no—
871C2×C4×D5—122no—
872C2×C4×D5C22×D311yescharacteristic
873C2×C4×D5C22×D311yescharacteristic
874C2×C4×D5C22×D311yescharacteristic
875C2×C4×D5C22×D311yescharacteristic
876C2×Dic10—31no—
877C2×Dic10—31no—
878C2×Dic10—31no—
879C2×Dic10—31no—
880C2×Dic10—31no—
881C2×Dic10C22×D311yescharacteristic
882C5×C4⋊C4—31no—
883C5×C4⋊C4—31no—
884C5×C4⋊C4—31no—
885C5×C4⋊C4C22×D311yescharacteristic
886C5×C4⋊C4C22×D311yescharacteristic
887C5×C4⋊C4C22×D311yescharacteristic
888C5×C22⋊C4—31no—
889C5×C22⋊C4—31no—
890C5×C22⋊C4—31no—
891C5×C22⋊C4—31no—
892C5×C22⋊C4—31no—
893C5×C22⋊C4—31no—
894C5×C22⋊C4—31no—
895C5×C22⋊C4—31no—
896C5×C22⋊C4—31no—
897C5×C22⋊C4C22×D311yescharacteristic
898C5×C22⋊C4C22×D311yescharacteristic
899C5×C22⋊C4C22×D311yescharacteristic
900C42×C5C22×D311yescharacteristic
901C22⋊Dic5—31no—
902C22⋊Dic5—31no—
903C22⋊Dic5—31no—
904C22⋊Dic5—31no—
905C22⋊Dic5—31no—
906C22⋊Dic5—31no—
907C22⋊Dic5—31no—
908C22⋊Dic5—31no—
909C22⋊Dic5—31no—
910C22⋊Dic5—31no—
911C22⋊Dic5—31no—
912C22⋊Dic5—31no—
913C22⋊Dic5—31no—
914C22⋊Dic5—31no—
915C22⋊Dic5—31no—
916C22⋊Dic5—31no—
917C22⋊Dic5—31no—
918C22⋊Dic5—31no—
919C22⋊Dic5—31no—
920C22⋊Dic5C22×D311yescharacteristic
921#685—31no—
922#685—31no—
923#685—31no—
924#685—31no—
925#685—31no—
926#685—31no—
927#685—31no—
928#685—31no—
929#685—31no—
930#685—31no—
931#685C22×D311yescharacteristic
932#685C22×D311yescharacteristic
933#685C22×D311yescharacteristic
934#685C22×D311yescharacteristic
935#685C22×D311yescharacteristic
936#685C22×D311yescharacteristic
937C4⋊Dic5—31no—
938C4⋊Dic5—31no—
939C4⋊Dic5—31no—
940C4⋊Dic5—31no—
941C4⋊Dic5—31no—
942C4⋊Dic5—31no—
943C4⋊Dic5—31no—
944C4⋊Dic5—31no—
945C4⋊Dic5—31no—
946C4⋊Dic5C22×D311yescharacteristic
947#683—31no—
948#683—31no—
949#683—31no—
950#683—31no—
951#683—31no—
952#683—31no—
953#683—31no—
954#683—31no—
955#683—31no—
956#683—31no—
957#683—31no—
958#683—31no—
959#683—31no—
960#683—31no—
961#683C22×D311yescharacteristic
962#683C22×D311yescharacteristic
963#683C22×D311yescharacteristic
964#683C22×D311yescharacteristic
965#683C22×D311yescharacteristic
966#683C22×D311yescharacteristic
967C4×Dic5—31no—
968C4×Dic5—31no—
969C4×Dic5—31no—
970C4×Dic5—31no—
971C4×Dic5—31no—
972C4×Dic5—31no—
973C4×Dic5C22×D311yescharacteristic
974C4×Dic5C22×D311yescharacteristic
975C4×Dic5C22×D311yescharacteristic
976C4×Dic5C22×D311yescharacteristic
977C4×Dic5C22×D311yescharacteristic
978#563—151no—
979#563—151no—
980#563—151no—
981#562—151no—
982#562—151no—
983#562—151no—
984#562—151no—
985#562—151no—
986#562—151no—
987H(3,𝔽4)—151no—
988#560—31no—
989#560—151no—
990#560—151no—
991#560—151no—
992#560—151no—
993#560—151no—
994#532—151no—
995#532—151no—
996#532—151no—
997#529—51no—
998#529—151no—
999#529—151no—
1000#529—151no—
1001#529—151no—
1002#529—151no—
1003#525—151no—
1004#525—151no—
1005#525—151no—
1006#525—151no—
1007#525—151no—
1008#525—151no—
1009C22×C3×C5—21no—
1010C22×C3×C5—21no—
1011C22×C3×C5—21no—
1012C22×C3×C5C2511yescharacteristic
1013C2×D15—21no—
1014C2×D15—21no—
1015C2×D15—21no—
1016C2×C5×D3—21no—
1017C2×C5×D3—21no—
1018C2×C5×D3—21no—
1019C2×C5×D3—21no—
1020C2×C5×D3—21no—
1021C2×C5×D3—21no—
1022C2×C5×D3—21no—
1023C2×C5×D3—21no—
1024C2×C5×D3—21no—
1025C2×C5×D3—21no—
1026C2×C5×D3—21no—
1027C2×C5×D3—21no—
1028C2×C5×D3—21no—
1029C2×C5×D3—21no—
1030C2×C5×D3—21no—
1031C2×C5×D3—44no—
1032C2×C3×D5—21no—
1033C2×C3×D5—21no—
1034C2×C3×D5—21no—
1035C2×C3×D5—21no—
1036C2×C3×D5—21no—
1037C2×C3×D5—21no—
1038D3×D5—44no—
1039C3×C4×C5—21no—
1040C3×C4×C5—21no—
1041C3×C4×C5—21no—
1042C3×C4×C5—21no—
1043C3×C4×C5—21no—
1044C3×C4×C5—21no—
1045Dic15—21no—
1046Dic15—21no—
1047Dic15—21no—
1048Dic15—21no—
1049Dic15—21no—
1050Dic15—21no—
1051Dic15—21no—
1052C3×Dic5—21no—
1053C3×Dic5—21no—
1054C3×Dic5—21no—
1055C3×Dic5—21no—
1056C3×Dic5—21no—
1057C3×Dic5H(5,𝔽2)12yes—
1058C5×Dic3—21no—
1059C5×Dic3—21no—
1060C5×Dic3—21no—
1061C23×D3—51no—
1062C23×D3C22×D511yescharacteristic
1063C2×C3×Q8—51no—
1064C2×C3×D4—51no—
1065C2×C3×D4—51no—
1066C2×C3×D4—51no—
1067C22×C3×C4—51no—
1068C22×C3×C4—51no—
1069C22×C3×C4—51no—
1070C22×C3×C4—51no—
1071C22×C3×C4—51no—
1072C2×#67—51no—
1073C2×#67—51no—
1074C2×#67—51no—
1075C2×#67—51no—
1076C2×#67—51no—
1077C2×#67—51no—
1078C2×#67—51no—
1079C2×#67—51no—
1080C2×#67—51no—
1081C2×#67—51no—
1082C2×#67—51no—
1083C2×#67C22×D511yescharacteristic
1084C2×#67C22×D511yescharacteristic
1085C2×#67C22×D511yescharacteristic
1086C22×Dic3—51no—
1087C22×Dic3—51no—
1088#235—202no—
1089#235—202no—
1090#235—202no—
1091#235—202no—
1092C2×D12—51no—
1093C2×D12—51no—
1094C2×D12—51no—
1095C2×D12—51no—
1096C2×D12C22×D511yescharacteristic
1097C2×D12C22×D511yescharacteristic
1098C2×D12C22×D511yescharacteristic
1099C2×D12C22×D511yescharacteristic
1100C2×D12C22×D511yescharacteristic
1101C2×D12C22×D511yescharacteristic
1102C2×D12C22×D511yescharacteristic
1103C2×D12C22×D511yescharacteristic
1104C2×D12C22×D511yescharacteristic
1105C2×C4×D3—51no—
1106C2×C4×D3—51no—
1107C2×C4×D3—51no—
1108C2×C4×D3—51no—
1109C2×C4×D3—51no—
1110C2×C4×D3—51no—
1111C2×C4×D3—51no—
1112C2×C4×D3—51no—
1113C2×C4×D3—51no—
1114C2×C4×D3—51no—
1115C2×C4×D3—51no—
1116C2×C4×D3—202no—
1117C2×C4×D3—202no—
1118C2×C4×D3C22×D511yescharacteristic
1119C2×C4×D3C22×D511yescharacteristic
1120C2×C4×D3C22×D511yescharacteristic
1121C2×Dic6—51no—
1122C2×Dic6—51no—
1123C2×Dic6—51no—
1124C2×Dic6—51no—
1125C2×Dic6—51no—
1126C3×C4⋊C4—51no—
1127C3×C4⋊C4—51no—
1128C3×C4⋊C4—51no—
1129C3×C4⋊C4—51no—
1130C3×C4⋊C4—51no—
1131C3×C4⋊C4—51no—
1132C3×C4⋊C4—51no—
1133C3×C4⋊C4C22×D511yescharacteristic
1134C3×C4⋊C4C22×D511yescharacteristic
1135C3×C4⋊C4C22×D511yescharacteristic
1136C3×C22⋊C4—51no—
1137C3×C22⋊C4—51no—
1138C3×C22⋊C4—51no—
1139C3×C22⋊C4—51no—
1140C3×C22⋊C4—51no—
1141C3×C22⋊C4—51no—
1142C3×C22⋊C4—51no—
1143C3×C22⋊C4C22×D511yescharacteristic
1144C3×C22⋊C4C22×D511yescharacteristic
1145C3×C22⋊C4C22×D511yescharacteristic
1146C3×C42—51no—
1147C3×C42—51no—
1148C3×C42—51no—
1149C3×C42—51no—
1150C3×C42—51no—
1151C3×C42C22×D511yescharacteristic
1152#217—51no—
1153#217—51no—
1154#217—51no—
1155#217—51no—
1156#217—51no—
1157#217—51no—
1158(C2×D3)⋊C4—51no—
1159(C2×D3)⋊C4—51no—
1160(C2×D3)⋊C4—51no—
1161(C2×D3)⋊C4—51no—
1162(C2×D3)⋊C4—51no—
1163(C2×D3)⋊C4—51no—
1164(C2×D3)⋊C4—51no—
1165(C2×D3)⋊C4—51no—
1166(C2×D3)⋊C4—51no—
1167(C2×D3)⋊C4—51no—
1168(C2×D3)⋊C4—51no—
1169(C2×D3)⋊C4—51no—
1170(C2×D3)⋊C4—51no—
1171(C2×D3)⋊C4—51no—
1172(C2×D3)⋊C4—51no—
1173(C2×D3)⋊C4—51no—
1174(C2×D3)⋊C4—51no—
1175(C2×D3)⋊C4—51no—
1176(C2×D3)⋊C4—51no—
1177(C2×D3)⋊C4—51no—
1178(C2×D3)⋊C4—51no—
1179(C2×D3)⋊C4—51no—
1180(C2×D3)⋊C4—51no—
1181(C2×D3)⋊C4C22×D511yescharacteristic
1182(C2×D3)⋊C4C22×D511yescharacteristic
1183(C2×D3)⋊C4C22×D511yescharacteristic
1184(C2×D3)⋊C4C22×D511yescharacteristic
1185(C2×D3)⋊C4C22×D511yescharacteristic
1186(C2×D3)⋊C4C22×D511yescharacteristic
1187(C2×D3)⋊C4C22×D511yescharacteristic
1188(C2×D3)⋊C4C22×D511yescharacteristic
1189(C2×D3)⋊C4C22×D511yescharacteristic
1190C4⋊Dic3—51no—
1191C4⋊Dic3—51no—
1192C4⋊Dic3—51no—
1193C4⋊Dic3—51no—
1194C4⋊Dic3—51no—
1195C4⋊Dic3—51no—
1196C4⋊Dic3—51no—
1197C4⋊Dic3—51no—
1198C4⋊Dic3—51no—
1199C4⋊Dic3—51no—
1200Dic3⋊C4—51no—
1201Dic3⋊C4—51no—
1202Dic3⋊C4—51no—
1203Dic3⋊C4—51no—
1204Dic3⋊C4—51no—
1205Dic3⋊C4—51no—
1206Dic3⋊C4—51no—
1207Dic3⋊C4—51no—
1208Dic3⋊C4—51no—
1209Dic3⋊C4—51no—
1210Dic3⋊C4—51no—
1211Dic3⋊C4—51no—
1212Dic3⋊C4—51no—
1213Dic3⋊C4C22×D511yescharacteristic
1214Dic3⋊C4C22×D511yescharacteristic
1215Dic3⋊C4C22×D511yescharacteristic
1216C4×Dic3—51no—
1217C4×Dic3—51no—
1218C4×Dic3—51no—
1219C4×Dic3—51no—
1220C4×Dic3—51no—
1221C4×Dic3—51no—
1222C23×C5—31no—
1223C23×C5—31no—
1224C23×C5—31no—
1225C23×C5—31no—
1226C23×C5—31no—
1227C23×C5—121no—
1228C23×C5—121no—
1229C23×C5—121no—
1230C23×C5C23×D311yescharacteristic
1231C22×D5—31no—
1232C22×D5—121no—
1233C22×D5—121no—
1234C22×D5—121no—
1235C22×D5C23×D311yescharacteristic
1236C22×D5C23×D311yescharacteristic
1237C5×D4—121no—
1238C5×D4—121no—
1239C5×D4—121no—
1240C5×D4—121no—
1241C5×D4—121no—
1242C5×D4—121no—
1243C5×D4—121no—
1244C5×D4—121no—
1245C5×D4—121no—
1246C5×D4—121no—
1247C5×D4—121no—
1248C5×D4—121no—
1249C2×C4×C5—31no—
1250C2×C4×C5—31no—
1251C2×C4×C5—31no—
1252C2×C4×C5—121no—
1253C2×C4×C5—121no—
1254C2×C4×C5—121no—
1255C2×C4×C5C23×D311yescharacteristic
1256C2×C4×C5C23×D311yescharacteristic
1257C2×C4×C5C23×D311yescharacteristic
1258C2×C4×C5C23×D311yescharacteristic
1259C2×C4×C5C23×D311yescharacteristic
1260C2×C4×C5C23×D311yescharacteristic
1261C22⋊D5—41no—
1262C22⋊D5—41no—
1263C22⋊D5—121no—
1264C22⋊D5—121no—
1265C22⋊D5—121no—
1266C22⋊D5—121no—
1267C22⋊D5—121no—
1268C22⋊D5—121no—
1269C22⋊D5—121no—
1270C22⋊D5—121no—
1271C22⋊D5—121no—
1272C22⋊D5—121no—
1273C22⋊D5—121no—
1274C22⋊D5—121no—
1275C22⋊D5—121no—
1276C22⋊D5—121no—
1277C2×Dic5—22no—
1278C2×Dic5—31no—
1279C2×Dic5—31no—
1280C2×Dic5—31no—
1281C2×Dic5—31no—
1282C2×Dic5—31no—
1283C2×Dic5—31no—
1284C2×Dic5—31no—
1285C2×Dic5—62no—
1286C2×Dic5—62no—
1287C2×Dic5—62no—
1288C2×Dic5—62no—
1289C2×Dic5—62no—
1290C2×Dic5—121no—
1291C2×Dic5—121no—
1292C2×Dic5—121no—
1293C2×Dic5—121no—
1294C2×Dic5—121no—
1295C2×Dic5C23×D311yescharacteristic
1296C2×Dic5C23×D311yescharacteristic
1297C2×Dic5C23×D311yescharacteristic
1298C2×Dic5C23×D311yescharacteristic
1299C2×Dic5C23×D311yescharacteristic
1300C2×Dic5C23×D311yescharacteristic
1301D20—41no—
1302D20—121no—
1303C4×D5—22no—
1304C4×D5—22no—
1305C4×D5—41no—
1306C4×D5—41no—
1307C4×D5—62no—
1308C4×D5—121no—
1309C4×D5—121no—
1310Dic10—41no—
1311Dic10—121no—
1312Dic10—121no—
1313Dic10—121no—
1314Dic10—121no—
1315Dic10—121no—
1316C2×#41—151no—
1317C2×#41—151no—
1318C2×#41—151no—
1319C2×#41—151no—
1320C23×C4—151no—
1321C23×C4—151no—
1322C4⋊Q8—151no—
1323C4⋊Q8—151no—
1324C4⋊Q8—151no—
1325#127—31no—
1326#127—151no—
1327#127—151no—
1328#126—31no—
1329#126—51no—
1330#126—151no—
1331#126—151no—
1332#126—151no—
1333#126—151no—
1334#126—151no—
1335#126—151no—
1336#126—151no—
1337#126—151no—
1338#126—151no—
1339#126D3×D511yescharacteristic, complemented
1340#125—51no—
1341#125—151no—
1342#125—151no—
1343#125—151no—
1344#125—151no—
1345#125—151no—
1346#124—51no—
1347#124—151no—
1348#124—151no—
1349#124—151no—
1350#124—151no—
1351#124—151no—
1352#124—151no—
1353#124—151no—
1354#124—151no—
1355#124—151no—
1356#124—151no—
1357#124—151no—
1358#123—31no—
1359#123—31no—
1360#123—31no—
1361#123—51no—
1362#123—51no—
1363#123—151no—
1364#123—151no—
1365#123—151no—
1366#123—151no—
1367#123—151no—
1368#123—151no—
1369#123—151no—
1370#123—151no—
1371#123—151no—
1372#123—151no—
1373#123—151no—
1374#123—151no—
1375#123—151no—
1376#123—151no—
1377#123—151no—
1378#123—151no—
1379#123—151no—
1380#123—151no—
1381#123—151no—
1382C22⋊Q8—51no—
1383C22⋊Q8—151no—
1384C22⋊Q8—151no—
1385C22⋊Q8—151no—
1386C22⋊Q8—151no—
1387C22⋊Q8—151no—
1388C22⋊Q8—151no—
1389C22⋊Q8—151no—
1390C22⋊Q8—151no—
1391C22⋊Q8—151no—
1392C22⋊Q8—151no—
1393C22⋊Q8—151no—
1394C22⋊Q8—151no—
1395C22⋊Q8—151no—
1396C22⋊Q8—151no—
1397C22⋊Q8—151no—
1398C22⋊Q8—151no—
1399C22⋊Q8—151no—
1400#121—31no—
1401#121—31no—
1402#121—31no—
1403#121—31no—
1404#121—31no—
1405#121—31no—
1406#121—51no—
1407#121—151no—
1408#121—151no—
1409#121—151no—
1410#121—151no—
1411#121—151no—
1412#121—151no—
1413#121—151no—
1414#121—151no—
1415#121—151no—
1416#121—151no—
1417#121—151no—
1418#121—151no—
1419#121—151no—
1420#121—151no—
1421#121—151no—
1422#121—151no—
1423#121—151no—
1424#121—151no—
1425#121—151no—
1426#121—151no—
1427#121—151no—
1428#121—151no—
1429#121—151no—
1430#120—31no—
1431#120—31no—
1432#120—31no—
1433#120—151no—
1434#120—151no—
1435#120—151no—
1436#120—151no—
1437#120—151no—
1438#120—151no—
1439#120—151no—
1440#120—151no—
1441#120—151no—
1442C4×Q8—51no—
1443C4×Q8—151no—
1444C4×D4—51no—
1445C4×D4—51no—
1446C4×D4—51no—
1447C4×D4—151no—
1448C4×D4—151no—
1449C4×D4—151no—
1450C4×D4—151no—
1451C4×D4—151no—
1452C4×D4—151no—
1453C4×D4—151no—
1454C4×D4—151no—
1455C4×D4—151no—
1456C4×D4—151no—
1457C4×D4—151no—
1458C4×D4—151no—
1459C4×D4—151no—
1460C4×D4—151no—
1461C4×D4—151no—
1462#117—51no—
1463#117—51no—
1464#117—151no—
1465#117—151no—
1466#117—151no—
1467#117—151no—
1468C2×C42—51no—
1469C2×C42—151no—
1470C2×C42—151no—
1471C2×C3×C5—41no—
1472C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
1473C2×C3×C5#58511yescharacteristic
1474C2×C3×C5#58511yescharacteristic
1475D15—41no—
1476C3×D5—41no—
1477C3×D5—41no—
1478C5×D3—41no—
1479C5×D3—41no—
1480C5×D3—41no—
1481C5×D3—41no—
1482C5×D3—41no—
1483C23×C3—51no—
1484C23×C3—51no—
1485C23×C3C23×D511yescharacteristic
1486C22×D3—41no—
1487C22×D3—41no—
1488C22×D3—41no—
1489C22×D3—51no—
1490C22×D3—201no—
1491C22×D3—201no—
1492C22×D3—201no—
1493C22×D3C23×D511yescharacteristic
1494C22×D3C23×D511yescharacteristic
1495C22×D3C23×D511yescharacteristic
1496C22×D3C23×D511yescharacteristic
1497C22×D3C23×D511yescharacteristic
1498C3×Q8—201no—
1499C3×D4—201no—
1500C3×D4—201no—
1501C3×D4—201no—
1502C2×C3×C4—51no—
1503C2×C3×C4—51no—
1504C2×C3×C4—51no—
1505C2×C3×C4—51no—
1506C2×C3×C4—51no—
1507C2×C3×C4—51no—
1508C2×C3×C4—102no—
1509C2×C3×C4—102no—
1510C2×C3×C4—102no—
1511C2×C3×C4—201no—
1512C2×C3×C4—201no—
1513C2×C3×C4C23×D511yescharacteristic
1514C2×C3×C4C23×D511yescharacteristic
1515C2×C3×C4C23×D511yescharacteristic
1516C2×C3×C4C23×D511yescharacteristic
1517C2×C3×C4C23×D511yescharacteristic
1518C2×C3×C4C23×D511yescharacteristic
1519#67—41no—
1520#67—41no—
1521#67—41no—
1522#67—201no—
1523#67—201no—
1524#67—201no—
1525#67—201no—
1526#67—201no—
1527#67—201no—
1528#67—201no—
1529#67—201no—
1530#67—201no—
1531#67—201no—
1532#67—201no—
1533C2×Dic3—51no—
1534C2×Dic3—51no—
1535C2×Dic3—51no—
1536C2×Dic3—51no—
1537C2×Dic3—51no—
1538C2×Dic3—51no—
1539C2×Dic3—51no—
1540C2×Dic3—201no—
1541C2×Dic3—201no—
1542C2×Dic3C23×D511yescharacteristic
1543C2×Dic3C23×D511yescharacteristic
1544C2×Dic3C23×D511yescharacteristic
1545D12—41no—
1546D12—41no—
1547D12—41no—
1548D12—41no—
1549D12—41no—
1550D12—41no—
1551D12—41no—
1552D12—41no—
1553D12—41no—
1554D12—201no—
1555D12—201no—
1556D12—201no—
1557D12—201no—
1558C4×D3—41no—
1559C4×D3—41no—
1560C4×D3—41no—
1561C4×D3—102no—
1562C4×D3—102no—
1563C4×D3—102no—
1564C4×D3—102no—
1565C4×D3—102no—
1566C4×D3—102no—
1567C4×D3—201no—
1568C4×D3—201no—
1569C4×D3—201no—
1570C4×D3—201no—
1571C4×D3—201no—
1572Dic6—201no—
1573Dic6—201no—
1574Dic6—201no—
1575Dic6—201no—
1576Dic6—201no—
1577C22×C5—21no—
1578C22×C5—21no—
1579C22×C5—21no—
1580C22×C5—61no—
1581C22×C5—61no—
1582C22×C5—61no—
1583C22×C5—61no—
1584C22×C5—61no—
1585C22×C5—61no—
1586C22×C5—61no—
1587C22×C5—61no—
1588C22×C5—61no—
1589C22×C5—61no—
1590C22×C5—61no—
1591C22×C5—61no—
1592C22×C5—61no—
1593C22×C5—61no—
1594C22×C5—61no—
1595C22×C5—124no—
1596C22×C5C24×D311yescharacteristic
1597C2×D5—21no—
1598C2×D5—21no—
1599C2×D5—21no—
1600C2×D5—21no—
1601C2×D5—21no—
1602C2×D5—21no—
1603C2×D5—61no—
1604C2×D5—61no—
1605C2×D5—61no—
1606C2×D5—124no—
1607C4×C5—21no—
1608C4×C5—21no—
1609C4×C5—21no—
1610C4×C5—21no—
1611C4×C5—21no—
1612C4×C5—21no—
1613C4×C5—61no—
1614C4×C5—61no—
1615C4×C5—61no—
1616Dic5—21no—
1617Dic5—21no—
1618Dic5—21no—
1619Dic5—21no—
1620Dic5—21no—
1621Dic5—61no—
1622Dic5—61no—
1623Dic5—61no—
1624Dic5—61no—
1625Dic5—61no—
1626Dic5—61no—
1627Dic5—61no—
1628Dic5#100912yes—
1629C24—31no—
1630C24—151no—
1631#41—602no—
1632#41—602no—
1633#41—602no—
1634#41—602no—
1635C2×Q8—51no—
1636C2×Q8—151no—
1637C2×Q8—151no—
1638C2×Q8—151no—
1639C2×Q8—151no—
1640C2×Q8—151no—
1641C2×D4—31no—
1642C2×D4—31no—
1643C2×D4—31no—
1644C2×D4—31no—
1645C2×D4—31no—
1646C2×D4—31no—
1647C2×D4—31no—
1648C2×D4—31no—
1649C2×D4—31no—
1650C2×D4—31no—
1651C2×D4—31no—
1652C2×D4—31no—
1653C2×D4—51no—
1654C2×D4—51no—
1655C2×D4—51no—
1656C2×D4—151no—
1657C2×D4—151no—
1658C2×D4—151no—
1659C2×D4—151no—
1660C2×D4—151no—
1661C2×D4—151no—
1662C2×D4—151no—
1663C2×D4—151no—
1664C2×D4—151no—
1665C2×D4—151no—
1666C2×D4—151no—
1667C2×D4—151no—
1668C2×D4—151no—
1669C2×D4—151no—
1670C2×D4—151no—
1671C22×C4—31no—
1672C22×C4—31no—
1673C22×C4—31no—
1674C22×C4—51no—
1675C22×C4—51no—
1676C22×C4—51no—
1677C22×C4—51no—
1678C22×C4—51no—
1679C22×C4—151no—
1680C22×C4—151no—
1681C22×C4—151no—
1682C22×C4—151no—
1683C22×C4—151no—
1684C22×C4—151no—
1685C22×C4—151no—
1686C22×C4—151no—
1687C22×C4—151no—
1688C22×C4—151no—
1689C22×C4—151no—
1690C22×C4—151no—
1691C22×C4—151no—
1692C22×C4—602no—
1693C22×C4—602no—
1694C4⋊C4—31no—
1695C4⋊C4—31no—
1696C4⋊C4—31no—
1697C4⋊C4—51no—
1698C4⋊C4—51no—
1699C4⋊C4—51no—
1700C4⋊C4—51no—
1701C4⋊C4—51no—
1702C4⋊C4—51no—
1703C4⋊C4—51no—
1704C4⋊C4—151no—
1705C4⋊C4—151no—
1706C4⋊C4—151no—
1707C4⋊C4—151no—
1708C4⋊C4—151no—
1709C4⋊C4—151no—
1710C4⋊C4—151no—
1711C4⋊C4—151no—
1712C4⋊C4—151no—
1713C4⋊C4—151no—
1714C4⋊C4—151no—
1715C4⋊C4—151no—
1716C4⋊C4—151no—
1717C4⋊C4—151no—
1718C4⋊C4—151no—
1719C4⋊C4—151no—
1720C4⋊C4—151no—
1721C4⋊C4—151no—
1722C4⋊C4—151no—
1723C4⋊C4—151no—
1724C4⋊C4—151no—
1725C4⋊C4—151no—
1726C4⋊C4—151no—
1727C4⋊C4C2×D3×D511yescharacteristic
1728C4⋊C4C2×D3×D511yescharacteristic
1729C4⋊C4C2×D3×D511yescharacteristic
1730C22⋊C4—31no—
1731C22⋊C4—31no—
1732C22⋊C4—31no—
1733C22⋊C4—31no—
1734C22⋊C4—31no—
1735C22⋊C4—31no—
1736C22⋊C4—31no—
1737C22⋊C4—31no—
1738C22⋊C4—31no—
1739C22⋊C4—51no—
1740C22⋊C4—51no—
1741C22⋊C4—51no—
1742C22⋊C4—51no—
1743C22⋊C4—51no—
1744C22⋊C4—51no—
1745C22⋊C4—51no—
1746C22⋊C4—151no—
1747C22⋊C4—151no—
1748C22⋊C4—151no—
1749C22⋊C4—151no—
1750C22⋊C4—151no—
1751C22⋊C4—151no—
1752C22⋊C4—151no—
1753C22⋊C4—151no—
1754C22⋊C4—151no—
1755C22⋊C4—151no—
1756C22⋊C4—151no—
1757C22⋊C4—151no—
1758C22⋊C4—151no—
1759C22⋊C4—151no—
1760C22⋊C4—151no—
1761C22⋊C4—151no—
1762C22⋊C4—151no—
1763C22⋊C4—151no—
1764C22⋊C4—151no—
1765C22⋊C4—151no—
1766C22⋊C4—151no—
1767C22⋊C4—151no—
1768C22⋊C4—151no—
1769C22⋊C4—151no—
1770C22⋊C4—151no—
1771C22⋊C4—151no—
1772C22⋊C4—151no—
1773C22⋊C4—151no—
1774C22⋊C4—151no—
1775C22⋊C4C2×D3×D511yescharacteristic
1776C22⋊C4C2×D3×D511yescharacteristic
1777C22⋊C4C2×D3×D511yescharacteristic
1778C42—51no—
1779C42—51no—
1780C42—51no—
1781C42—51no—
1782C42—51no—
1783C42—151no—
1784C42—151no—
1785C42—151no—
1786C42—151no—
1787C42—151no—
1788C42—151no—
1789C42C2×D3×D511yescharacteristic
1790C3×C5#352911yescharacteristic, complemented, Hall
1791C22×C3—21no—
1792C22×C3—21no—
1793C22×C3—21no—
1794C22×C3—101no—
1795C22×C3—101no—
1796C22×C3—101no—
1797C22×C3—101no—
1798C22×C3—101no—
1799C22×C3—101no—
1800C22×C3C24×D511yescharacteristic
1801C2×D3—21no—
1802C2×D3—21no—
1803C2×D3—21no—
1804C2×D3—21no—
1805C2×D3—21no—
1806C2×D3—21no—
1807C2×D3—21no—
1808C2×D3—21no—
1809C2×D3—21no—
1810C2×D3—21no—
1811C2×D3—21no—
1812C2×D3—21no—
1813C2×D3—21no—
1814C2×D3—21no—
1815C2×D3—21no—
1816C2×D3—44no—
1817C2×D3—101no—
1818C2×D3—101no—
1819C2×D3—101no—
1820C2×D3—204no—
1821C3×C4—21no—
1822C3×C4—21no—
1823C3×C4—21no—
1824C3×C4—21no—
1825C3×C4—21no—
1826C3×C4—21no—
1827C3×C4—52no—
1828C3×C4—101no—
1829C3×C4—101no—
1830C3×C4—101no—
1831C3×C4—101no—
1832C3×C4—101no—
1833Dic3—21no—
1834Dic3—21no—
1835Dic3—21no—
1836Dic3—101no—
1837Dic3—101no—
1838Dic3—101no—
1839Dic3—101no—
1840Dic3—101no—
1841Dic3—101no—
1842Dic3—101no—
1843C2×C5—41no—
1844C2×C5—121no—
1845C2×C5—121no—
1846C2×C5—121no—
1847C2×C5—121no—
1848C2×C5—121no—
1849C2×C5C2×#100911yescharacteristic
1850C2×C5#596411yescharacteristic
1851C2×C5#596411yescharacteristic
1852D5—41no—
1853D5—41no—
1854D5—121no—
1855C23—31no—
1856C23—31no—
1857C23—31no—
1858C23—31no—
1859C23—31no—
1860C23—51no—
1861C23—51no—
1862C23—121no—
1863C23—121no—
1864C23—121no—
1865C23—151no—
1866C23—601no—
1867C23—601no—
1868C23—601no—
1869C23C22×D3×D511yescharacteristic
1870Q8—201no—
1871Q8—601no—
1872Q8—601no—
1873Q8—601no—
1874Q8—601no—
1875Q8—601no—
1876D4—121no—
1877D4—121no—
1878D4—121no—
1879D4—121no—
1880D4—121no—
1881D4—121no—
1882D4—121no—
1883D4—121no—
1884D4—121no—
1885D4—121no—
1886D4—121no—
1887D4—121no—
1888D4—201no—
1889D4—201no—
1890D4—201no—
1891D4—601no—
1892D4—601no—
1893D4—601no—
1894D4—601no—
1895D4—601no—
1896D4—601no—
1897D4—601no—
1898D4—601no—
1899D4—601no—
1900D4—601no—
1901D4—601no—
1902D4—601no—
1903D4—601no—
1904D4—601no—
1905D4—601no—
1906C2×C4—31no—
1907C2×C4—31no—
1908C2×C4—31no—
1909C2×C4—51no—
1910C2×C4—51no—
1911C2×C4—51no—
1912C2×C4—51no—
1913C2×C4—51no—
1914C2×C4—51no—
1915C2×C4—102no—
1916C2×C4—102no—
1917C2×C4—102no—
1918C2×C4—121no—
1919C2×C4—121no—
1920C2×C4—121no—
1921C2×C4—151no—
1922C2×C4—151no—
1923C2×C4—151no—
1924C2×C4—151no—
1925C2×C4—151no—
1926C2×C4—151no—
1927C2×C4—151no—
1928C2×C4—201no—
1929C2×C4—201no—
1930C2×C4—302no—
1931C2×C4—302no—
1932C2×C4—302no—
1933C2×C4—302no—
1934C2×C4—302no—
1935C2×C4—302no—
1936C2×C4—601no—
1937C2×C4—601no—
1938C2×C4—601no—
1939C2×C4—601no—
1940C2×C4—601no—
1941C2×C4—601no—
1942C2×C4—601no—
1943C2×C4C22×D3×D511yescharacteristic
1944C2×C4C22×D3×D511yescharacteristic
1945C2×C4C22×D3×D511yescharacteristic
1946C2×C4C22×D3×D511yescharacteristic
1947C2×C4C22×D3×D511yescharacteristic
1948C2×C4C22×D3×D511yescharacteristic
1949C2×C3—41no—
1950C2×C3—201no—
1951C2×C3—201no—
1952C2×C3D5×H(5,𝔽2)11yescharacteristic
1953C2×C3#6628511yescharacteristic
1954C2×C3#6628511yescharacteristic
1955D3—41no—
1956D3—41no—
1957D3—41no—
1958D3—41no—
1959D3—41no—
1960D3—201no—
1961C5#8617111yescharacteristic, complemented, Sylow
1962C22—21no—
1963C22—21no—
1964C22—21no—
1965C22—61no—
1966C22—61no—
1967C22—61no—
1968C22—61no—
1969C22—61no—
1970C22—61no—
1971C22—61no—
1972C22—61no—
1973C22—61no—
1974C22—61no—
1975C22—61no—
1976C22—61no—
1977C22—61no—
1978C22—61no—
1979C22—61no—
1980C22—101no—
1981C22—101no—
1982C22—101no—
1983C22—101no—
1984C22—101no—
1985C22—101no—
1986C22—124no—
1987C22—301no—
1988C22—301no—
1989C22—301no—
1990C22—604no—
1991C22C23×D3×D511yescharacteristic
1992C4—21no—
1993C4—21no—
1994C4—21no—
1995C4—21no—
1996C4—21no—
1997C4—21no—
1998C4—52no—
1999C4—61no—
2000C4—61no—
2001C4—61no—
2002C4—101no—
2003C4—101no—
2004C4—101no—
2005C4—101no—
2006C4—101no—
2007C4—301no—
2008C4—301no—
2009C4—301no—
2010C4—301no—
2011C4—301no—
2012C4—301no—
2013C4—301no—
2014C3#1061897111yescharacteristic, complemented, Sylow
2015C2—41no—
2016C2—121no—
2017C2—121no—
2018C2—121no—
2019C2—121no—
2020C2—121no—
2021C2—201no—
2022C2—201no—
2023C2—601no—
2024C2D5×#100911yescharacteristic
2025C2#1175705911yescharacteristic
2026C2#1175705911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#126C22
hypercenter#126D3×D5
hypocenterC3×C5#3529
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #126

Complements

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

NH ≅ G/Ntype
1. #11756471C2semidirect
2. C5×#5711C2semidirect
3. C3×#66040C2semidirect
4. #11753940C2semidirect
5. #11753873C2semidirect
6. #11753862C2semidirect
7. #11753816C2semidirect
8. #11753814C2semidirect
9. #11753680C2semidirect
10. #11753654C2semidirect
11. #11753643C2semidirect
12. #11753535C2semidirect
13. #11753490C2semidirect
14. #11753488C2semidirect
15. #11753377C2semidirect
16. #11753301C2semidirect
17. #11753300C2semidirect
18. #11753249C2semidirect
19. #11753177C2semidirect
20. #11753174C2semidirect
21. #11753171C2semidirect
22. #11753169C2semidirect
23. #11752895C2semidirect
24. #11752871C2semidirect
25. #11752843C2semidirect
26. #11752840C2semidirect
27. #11752840C2semidirect
28. #11752774C2semidirect
29. #11752684C2semidirect
30. #11752672C2semidirect
31. #11752659C2semidirect
34. C22×D3×Dic5C22semidirect
35. C2×C4×D3×D5C22semidirect
38. C2×#6772C22semidirect
39. C3×C5×#126C22semidirect
40. #91787C22semidirect
41. #91786C22semidirect
42. #91785C22semidirect
43. #91779C22semidirect
44. #91778C22semidirect
45. #91777C22semidirect
49. #91768C22semidirect
50. #91767C22semidirect
51. #91767C22semidirect
52. #91765C22semidirect
53. #91758C22semidirect
56. C5×#895C22semidirect
58. C5×#894C22semidirect
59. C5×#894C22semidirect
62. C5×#884C22semidirect
64. C5×#882C22semidirect
65. C5×#882C22semidirect
66. C5×#876C22semidirect
68. C3×#4042C22semidirect
69. C3×#4040C22semidirect
70. C3×#4039C22semidirect
71. C3×#4038C22semidirect
72. C3×#4035C22semidirect
73. C3×#4033C22semidirect
76. C3×#4029C22semidirect
78. C3×#4027C22semidirect
79. C3×#4023C22semidirect
80. C3×#4022C22semidirect
81. C3×C42×D5C22semidirect
87. #91568C22semidirect
89. #91565C22semidirect
90. #91555C22semidirect
92. Dic5×#67C22semidirect
94. #91543C22semidirect
98. #91475C22semidirect
99. #91475C22semidirect
100. #91474C22semidirect
103. #91464C22semidirect
106. #91462C22semidirect
109. #91457C22semidirect
110. #91456C22semidirect
111. #91454C22semidirect
115. #91453C22semidirect
116. #91453C22semidirect
117. #91452C22semidirect
118. #91452C22semidirect
119. #91449C22semidirect
120. #91449C22semidirect
121. #91449C22semidirect
122. #91449C22semidirect
124. #91447C22semidirect
125. #91444C22semidirect
127. #91440C22semidirect
128. #91440C22semidirect
129. #91436C22semidirect
130. #91432C22semidirect
131. #91432C22semidirect
132. #91431C22semidirect
134. #91423C22semidirect
135. #91423C22semidirect
136. #91423C22semidirect
137. #91423C22semidirect
138. #91422C22semidirect
139. #91417C22semidirect
140. #91417C22semidirect
144. #91416C22semidirect
146. Dic5×D12C22semidirect
147. Dic5×D12C22semidirect
148. Dic5×D12C22semidirect
149. Dic5×D12C22semidirect
150. Dic5×D12C22semidirect
152. #91414C22semidirect
153. #91410C22semidirect
157. #91405C22semidirect
158. #91402C22semidirect
159. #91398C22semidirect
160. #91398C22semidirect
161. #91398C22semidirect
162. C4×D3×Dic5C22semidirect
163. C4×D3×Dic5C22semidirect
164. #91378C22semidirect
166. #91373C22semidirect
168. #91369C22semidirect
169. #91367C22semidirect
170. #91367C22semidirect
171. #91365C22semidirect
172. #91362C22semidirect
173. #91355C22semidirect
174. #91352C22semidirect
175. #91352C22semidirect
176. #91351C22semidirect
178. #91349C22semidirect
179. #91348C22semidirect
180. #91343C22semidirect
181. #91342C22semidirect
182. #91342C22semidirect
183. #91341C22semidirect
184. #91334C22semidirect
185. #91328C22semidirect
187. #91323C22semidirect
195. #66040D3semidirect
385. #5711D5semidirect
420. C5×#126C2×D3semidirect
498. #4042C2×D3semidirect
500. #4040C2×D3semidirect
502. #4039C2×D3semidirect
504. #4038C2×D3semidirect
510. #4035C2×D3semidirect
514. #4033C2×D3semidirect
535. #4029C2×D3semidirect
544. #4027C2×D3semidirect
562. #4023C2×D3semidirect
564. #4022C2×D3semidirect
565. C42×D5C2×D3semidirect
669. C3×#126C2×D5semidirect
736. #895C2×D5semidirect
745. #894C2×D5semidirect
746. #894C2×D5semidirect
772. #884C2×D5semidirect
785. #882C2×D5semidirect
786. #882C2×D5semidirect
794. #876C2×D5semidirect
1339. #126D3×D5semidirect
1790. C3×C5#3529semidirect
1961. C5#86171semidirect
2014. C3#10618971semidirect

Maximal subgroups

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

subgroupindex
#117564712
C5×#57112
C3×#660402
#117539402
#117538732
#117538622
#117538162
#117538142
#117536802
#117536542
#117536432
#117535352
#117534902
#117534882
#117533772
#117533012
#117533002
#117532492
#117531772
#117531742
#117531712
#117531692
#117528952
#117528712
#117528432
#117528402
#117527742
#117526842
#117526722
#117526592
#106189713
#861715