Finite Group Databasebeta

← #14495498

Subgroups — #14495498

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#11756465C211yesmaximal, characteristic, complemented
2C5×#5711C211yesmaximal, characteristic, complemented
3C3×#66046C211yesmaximal, characteristic, complemented
4#11753942C211yesmaximal, characteristic, complemented
5#11753886C211yesmaximal, characteristic, complemented
6#11753864C211yesmaximal, characteristic, complemented
7#11753814C211yesmaximal, characteristic, complemented
8#11753811C211yesmaximal, characteristic, complemented
9#11753766C211yesmaximal, characteristic, complemented
10#11753662C211yesmaximal, characteristic, complemented
11#11753654C211yesmaximal, characteristic, complemented
12#11753646C211yesmaximal, characteristic, complemented
13#11753578C211yesmaximal, characteristic, complemented
14#11753536C211yesmaximal, characteristic, complemented
15#11753423C211yesmaximal, characteristic, complemented
16#11753300C211yesmaximal, characteristic, complemented
17#11753298C211yesmaximal, characteristic, complemented
18#11753221C211yesmaximal, characteristic, complemented
19#11753185C211yesmaximal, characteristic, complemented
20#11753177C211yesmaximal, characteristic, complemented
21#11753176C211yesmaximal, characteristic, complemented
22#11753075C211yesmaximal, characteristic, complemented
23#11753053C211yesmaximal, characteristic, complemented
24#11752989C211yesmaximal, characteristic, complemented
25#11752882C211yesmaximal, characteristic, complemented
26#11752842C211yesmaximal, characteristic, complemented
27#11752842C211yesmaximal, characteristic, complemented
28#11752774C211yesmaximal, characteristic, complemented
29#11752702C211yesmaximal, characteristic, complemented
30#11752642C211yesmaximal, characteristic, complemented
31#11752559C211yesmaximal, characteristic, complemented
32#10618971—31nomaximal, Hall
33C22×D3×Dic5C2211yescharacteristic, complemented
34C2×#6780C2211yescharacteristic
35C2×C4×D3×D5C2211yescharacteristic, complemented
36C2×#6768C2211yescharacteristic
37C2×#6768C2211yescharacteristic
38C2×#6768C2211yescharacteristic, complemented
39C3×C5×#126C2211yescharacteristic, complemented
40#91785C2211yescharacteristic, complemented
41#91783C2211yescharacteristic, complemented
42#91782C2211yescharacteristic, complemented
43#91781C2211yescharacteristic, complemented
44#91778C2211yescharacteristic, complemented
45#91776C2211yescharacteristic, complemented
46#91774C2211yescharacteristic
47#91773C2211yescharacteristic
48#91772C2211yescharacteristic, complemented
49#91770C2211yescharacteristic
50#91770C2211yescharacteristic, complemented
51#91766C2211yescharacteristic, complemented
52#91765C2211yescharacteristic, complemented
53C42×D15C2211yescharacteristic, 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×#4044C2211yescharacteristic, complemented
69C3×#4043C2211yescharacteristic, complemented
70C3×#4042C2211yescharacteristic, complemented
71C3×#4036C2211yescharacteristic, complemented
72C3×#4035C2211yescharacteristic, complemented
73C3×#4034C2211yescharacteristic, complemented
74C3×#4032C2211yescharacteristic
75C3×#4031C2211yescharacteristic
76C3×#4029C2211yescharacteristic
77C3×#4025C2211yescharacteristic, complemented
78C3×#4024C2211yescharacteristic, complemented
79C3×#4024C2211yescharacteristic, complemented
80C3×#4022C2211yescharacteristic, complemented
81C3×#4015C2211yescharacteristic, complemented
82#91577C2211yescharacteristic
83#91570C2211yescharacteristic
84#91570C2211yescharacteristic, complemented
85#91568C2211yescharacteristic
86#91567C2211yescharacteristic
87#91566C2211yescharacteristic
88#91566C2211yescharacteristic
89#67⋊Dic5C2211yescharacteristic
90#67⋊Dic5C2211yescharacteristic, complemented
91#91558C2211yescharacteristic, complemented
92#91557C2211yescharacteristic
93#91555C2211yescharacteristic, complemented
94#91539C2211yescharacteristic, complemented
95#91525C2211yescharacteristic
96#91476C2211yescharacteristic, complemented
97#91475C2211yescharacteristic
98#91475C2211yescharacteristic
99#91475C2211yescharacteristic, complemented
100#91475C2211yescharacteristic, complemented
101#91466C2211yescharacteristic, complemented
102#91466C2211yescharacteristic, complemented
103#91466C2211yescharacteristic, complemented
104#91466C2211yescharacteristic, complemented
105#91464C2211yescharacteristic
106#91462C2211yescharacteristic
107#91461C2211yescharacteristic
108#91460C2211yescharacteristic, complemented
109#91454C2211yescharacteristic, complemented
110#91453C2211yescharacteristic
111#91453C2211yescharacteristic
112#91453C2211yescharacteristic
113#91453C2211yescharacteristic, complemented
114#91452C2211yescharacteristic, complemented
115#91451C2211yescharacteristic
116#91449C2211yescharacteristic
117#91448C2211yescharacteristic
118#91447C2211yescharacteristic, complemented
119#91442C2211yescharacteristic
120#91442C2211yescharacteristic
121#91442C2211yescharacteristic, complemented
122#91438C2211yescharacteristic
123#91438C2211yescharacteristic, complemented
124#91436C2211yescharacteristic, complemented
125#91436C2211yescharacteristic, complemented
126#91435C2211yescharacteristic
127#91435C2211yescharacteristic, complemented
128#91435C2211yescharacteristic, complemented
129#91435C2211yescharacteristic, complemented
130#91435C2211yescharacteristic, complemented
131#91435C2211yescharacteristic, complemented
132#91432C2211yescharacteristic, complemented
133#91429C2211yescharacteristic, complemented
134#91427C2211yescharacteristic
135#91427C2211yescharacteristic, complemented
136#91423C2211yescharacteristic
137#91423C2211yescharacteristic, complemented
138#91423C2211yescharacteristic, complemented
139#91423C2211yescharacteristic, complemented
140#91423C2211yescharacteristic, complemented
141#91420C2211yescharacteristic
142#91417C2211yescharacteristic, complemented
143#91416C2211yescharacteristic
144#91416C2211yescharacteristic
145#91416C2211yescharacteristic
146#91416C2211yescharacteristic, complemented
147#91416C2211yescharacteristic, complemented
148#91411C2211yescharacteristic, complemented
149#91410C2211yescharacteristic, complemented
150#91410C2211yescharacteristic, complemented
151#91406C2211yescharacteristic
152#91406C2211yescharacteristic, complemented
153#91406C2211yescharacteristic, complemented
154#91400C2211yescharacteristic, complemented
155#91400C2211yescharacteristic, complemented
156#91400C2211yescharacteristic, complemented
157C4×D3×Dic5C2211yescharacteristic, complemented
158C4×D3×Dic5C2211yescharacteristic, complemented
159#91396C2211yescharacteristic, complemented
160#91394C2211yescharacteristic, complemented
161#91382C2211yescharacteristic, complemented
162#91377C2211yescharacteristic, complemented
163#91373C2211yescharacteristic
164#91372C2211yescharacteristic, complemented
165#91372C2211yescharacteristic, complemented
166#91370C2211yescharacteristic
167#91370C2211yescharacteristic, complemented
168#91369C2211yescharacteristic, complemented
169#91365C2211yescharacteristic, complemented
170#91355C2211yescharacteristic, complemented
171#91354C2211yescharacteristic, complemented
172#91352C2211yescharacteristic, complemented
173#91352C2211yescharacteristic, complemented
174#91351C2211yescharacteristic, complemented
175#91351C2211yescharacteristic, complemented
176#91350C2211yescharacteristic
177#91350C2211yescharacteristic, complemented
178#91346C2211yescharacteristic, complemented
179#91345C2211yescharacteristic, complemented
180#91342C2211yescharacteristic, complemented
181#91341C2211yescharacteristic, complemented
182#91341C2211yescharacteristic, complemented
183#91339C2211yescharacteristic, complemented
184#91327C2211yescharacteristic, complemented
185#91326C2211yescharacteristic
186#91326C2211yescharacteristic, complemented
187#91325C2211yescharacteristic, complemented
188#87115—51nomaximal, Hall
189C5×#560—31no—
190#66054—31no—
191#66050—31no—
192#66046—31no—
193#66046D311yescharacteristic, complemented
194#66040—31no—
195#66040—31no—
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
223C2×#1220C2311yescharacteristic
224C22×Dic15C2311yescharacteristic
225C2×D60C2311yescharacteristic
226C2×C4×D15C2311yescharacteristic
227C2×C4×D15C2311yescharacteristic
228C2×C4×D15C2311yescharacteristic
229C2×C4×D15C2311yescharacteristic
230C2×Dic30C2311yescharacteristic
231C2×C5×#67C2311yescharacteristic
232C2×C5×#67C2311yescharacteristic
233C2×C5×#67C2311yescharacteristic
234C2×C5×D12C2311yescharacteristic
235C2×C5×D12C2311yescharacteristic
236C2×C5×D12C2311yescharacteristic
237C2×C5×D12C2311yescharacteristic
238C2×C5×D12C2311yescharacteristic
239C2×C5×D12C2311yescharacteristic
240C2×C5×D12C2311yescharacteristic
241C2×C5×D12C2311yescharacteristic
242C2×C5×D12C2311yescharacteristic
243C2×C4×C5×D3C2311yescharacteristic
244C2×C4×C5×D3C2311yescharacteristic
245C2×C4×C5×D3C2311yescharacteristic
246C2×C3×C22⋊D5C2311yescharacteristic
247C22×C3×Dic5C2311yescharacteristic
248C2×C3×C4×D5C2311yescharacteristic
249C2×C3×Dic10C2311yescharacteristic
250C2×C3×Dic10C2311yescharacteristic
251C2×C3×Dic10C2311yescharacteristic
252C2×#1204C2311yescharacteristic
253C2×#1204C2311yescharacteristic
254C2×#1203C2311yescharacteristic
255C2×#1203C2311yescharacteristic
256C2×#1203C2311yescharacteristic
257C2×#1203C2311yescharacteristic
258C2×#1203C2311yescharacteristic
259C2×#1203C2311yescharacteristic
260C2×#1203C2311yescharacteristic
261C2×#1203C2311yescharacteristic
262C2×#1203C2311yescharacteristic
263C2×#1202C2311yescharacteristic
264C2×#1201C2311yescharacteristic
265C2×#1201C2311yescharacteristic
266C2×#1201C2311yescharacteristic
267C2×#1201C2311yescharacteristic
268C2×#1200C2311yescharacteristic
269C2×D3×Dic5—42no—
270C2×D3×Dic5C2311yescharacteristic
271C2×D3×Dic5C2311yescharacteristic
272C2×D3×Dic5C2311yescharacteristic
273C2×D3×Dic5C2311yescharacteristic
274C2×D3×Dic5C2311yescharacteristic
275C2×D3×Dic5C2311yescharacteristic
276C2×D3×Dic5C2311yescharacteristic
277C2×D3×Dic5C2311yescharacteristic
278C2×D3×Dic5C2311yescharacteristic
279#6780—42no—
280C2×D5×Dic3C2311yescharacteristic
281C4×D3×D5—42no—
282#6768—42no—
283#6768—42no—
284#6768—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#6714C2311yescharacteristic
294#6714C2311yescharacteristic
295#6714C2311yescharacteristic
296#6714C2311yescharacteristic
297#6714C2311yescharacteristic
298#6714C2311yescharacteristic
299C4⋊Dic15C2311yescharacteristic
300#6712C2311yescharacteristic
301#6712C2311yescharacteristic
302#6712C2311yescharacteristic
303#6712C2311yescharacteristic
304#6712C2311yescharacteristic
305#6712C2311yescharacteristic
306C4×Dic15C2311yescharacteristic
307C4×Dic15C2311yescharacteristic
308C4×Dic15C2311yescharacteristic
309C4×Dic15C2311yescharacteristic
310C4×Dic15C2311yescharacteristic
311C5×(C2×D3)⋊C4C2311yescharacteristic
312C5×(C2×D3)⋊C4C2311yescharacteristic
313C5×(C2×D3)⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
321C5×Dic3⋊C4C2311yescharacteristic
322C5×Dic3⋊C4C2311yescharacteristic
323C3×C22⋊Dic5C2311yescharacteristic
324C3×C22⋊Dic5C2311yescharacteristic
325C3×#685C2311yescharacteristic
326C3×#685C2311yescharacteristic
327C3×#685C2311yescharacteristic
328C3×#685C2311yescharacteristic
329C3×#685C2311yescharacteristic
330C3×C4⋊Dic5C2311yescharacteristic
331C3×C4⋊Dic5C2311yescharacteristic
332C3×C4⋊Dic5C2311yescharacteristic
333C3×C4⋊Dic5C2311yescharacteristic
334C3×C4⋊Dic5C2311yescharacteristic
335C3×C4⋊Dic5C2311yescharacteristic
336C3×#683C2311yescharacteristic
337C3×#683C2311yescharacteristic
338C3×#683C2311yescharacteristic
339C3×#683C2311yescharacteristic
340C3×#683C2311yescharacteristic
341C3×#683C2311yescharacteristic
342C3×#683C2311yescharacteristic
343C3×C4×Dic5C2311yescharacteristic
344C3×C4×Dic5C2311yescharacteristic
345Dic3⋊Dic5C2311yescharacteristic
346Dic3⋊Dic5C2311yescharacteristic
347Dic3⋊Dic5C2311yescharacteristic
348#6669C2311yescharacteristic
349#6669C2311yescharacteristic
350#6669C2311yescharacteristic
351#6669C2311yescharacteristic
352#6668C2311yescharacteristic
353#6668C2311yescharacteristic
354#6668C2311yescharacteristic
355#6667C2311yescharacteristic
356#6667C2311yescharacteristic
357#6667C2311yescharacteristic
358#6667C2311yescharacteristic
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(C2×D3)⋊Dic5C2311yescharacteristic
374(C2×D3)⋊Dic5C2311yescharacteristic
375(C2×D3)⋊Dic5C2311yescharacteristic
376#6665C2311yescharacteristic
377Dic3×Dic5C2311yescharacteristic
378Dic3×Dic5C2311yescharacteristic
379Dic3×Dic5C2311yescharacteristic
380Dic3×Dic5C2311yescharacteristic
381C3×#563—51no—
382#5735—51no—
383#5735—51no—
384#5725—51no—
385#5725—51no—
386#5711—51no—
387#5711—51no—
388#5711—51no—
389#5711D511yescharacteristic, complemented
390#5706—51no—
391#5706—51no—
392#5706—51no—
393#5706—51no—
394#5700—51no—
395#5700—51no—
396#5691—51no—
397#5691—51no—
398#5683—51no—
399#5668—51no—
400#5666—51no—
401#5666—51no—
402#5656—51no—
403#5656—51no—
404#5647—51no—
405#5647—51no—
406#5647—51no—
407#5647—51no—
408#5627—51no—
409#5627—51no—
410#5627—51no—
411#5627—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#4044C2×D311yescharacteristic, complemented
493#4043—31no—
494#4043C2×D311yescharacteristic, complemented
495#4042—31no—
496#4042—31no—
497#4042—31no—
498#4042C2×D311yescharacteristic, complemented
499#4040—31no—
500#4040—31no—
501#4039—31no—
502#4039—31no—
503#4038—31no—
504#4038—31no—
505#4036—31no—
506#4036C2×D311yescharacteristic, complemented
507#4035—31no—
508#4035—31no—
509#4035—31no—
510#4035C2×D311yescharacteristic, complemented
511#4034—31no—
512#4034C2×D311yescharacteristic, complemented
513#4033—31no—
514#4033—31no—
515#4032—31no—
516#4032—31no—
517#4032C2×D311yescharacteristic
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#4030—31no—
530#4029—31no—
531#4029—31no—
532#4029—31no—
533#4029—31no—
534#4029—31no—
535#4029C2×D311yescharacteristic
536#4028—31no—
537#4027—31no—
538#4027—31no—
539#4027—31no—
540#4027—31no—
541#4027—31no—
542#4027—31no—
543#4027—31no—
544#4027—31no—
545#4025—31no—
546#4025—31no—
547#4025—31no—
548#4025—31no—
549#4025—31no—
550#4025C2×D311yescharacteristic, complemented
551#4024—31no—
552#4024—31no—
553#4024—31no—
554#4024—31no—
555#4024—31no—
556#4024—31no—
557#4024C2×D311yescharacteristic, complemented
558#4024C2×D311yescharacteristic, complemented
559#4023—31no—
560#4023—31no—
561#4023—31no—
562#4023—31no—
563#4022—31no—
564#4022C2×D311yescharacteristic, complemented
565C42×D5—31no—
566#4015C2×D311yescharacteristic, complemented
567#3529—151noSylow
568C23×C3×C5C2411yescharacteristic
569C22×D15C2411yescharacteristic
570C22×D15C2411yescharacteristic
571C22×C5×D3—41no—
572C22×C5×D3—41no—
573C22×C5×D3—41no—
574C22×C5×D3C2411yescharacteristic
575C22×C5×D3C2411yescharacteristic
576C22×C5×D3C2411yescharacteristic
577C22×C5×D3C2411yescharacteristic
578C22×C5×D3C2411yescharacteristic
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—
590#1220—41no—
591C2×Dic15—22no—
592C2×Dic15C2411yescharacteristic
593C2×Dic15C2411yescharacteristic
594C2×Dic15C2411yescharacteristic
595C2×Dic15C2411yescharacteristic
596C2×Dic15C2411yescharacteristic
597C2×Dic15C2411yescharacteristic
598D60—41no—
599C4×D15—22no—
600C4×D15—22no—
601C4×D15—41no—
602C4×D15—41no—
603Dic30—41no—
604C5×#67—41no—
605C5×#67—41no—
606C5×#67—41no—
607C2×C5×Dic3C2411yescharacteristic
608C2×C5×Dic3C2411yescharacteristic
609C2×C5×Dic3C2411yescharacteristic
610C5×D12—41no—
611C5×D12—41no—
612C5×D12—41no—
613C5×D12—41no—
614C5×D12—41no—
615C5×D12—41no—
616C5×D12—41no—
617C5×D12—41no—
618C5×D12—41no—
619C4×C5×D3—41no—
620C4×C5×D3—41no—
621C4×C5×D3—41no—
622C3×C22⋊D5—41no—
623C2×C3×Dic5—41no—
624C2×C3×Dic5C2411yescharacteristic
625C2×C3×Dic5C2411yescharacteristic
626C2×C3×Dic5C2411yescharacteristic
627C2×C3×Dic5C2411yescharacteristic
628C2×C3×Dic5C2411yescharacteristic
629C2×C3×Dic5C2411yescharacteristic
630C2×C3×Dic5C2411yescharacteristic
631C3×C4×D5—41no—
632C3×Dic10—41no—
633C3×Dic10—41no—
634C3×Dic10—41no—
635#1204—41no—
636#1204—41no—
637#1203—41no—
638#1203—41no—
639#1203—41no—
640#1203—41no—
641#1203—41no—
642#1203—41no—
643#1203—41no—
644#1203—41no—
645#1203—41no—
646#1202—41no—
647#1201—41no—
648#1201—41no—
649#1201—41no—
650#1201—41no—
651#1200—41no—
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—22no—
662C2×#239—51no—
663C2×#239—51no—
664C2×#239—51no—
665C2×#237—51no—
666C22×C4×D3—51no—
667C22×C4×D3—51no—
668C3×C4⋊Q8—51no—
669C3×C4⋊Q8—51no—
670C3×#126—51no—
671C3×#126—51no—
672C3×#126—51no—
673C3×#126C2×D511yescharacteristic, complemented
674C3×#125—51no—
675C3×#125—51no—
676C3×#124—51no—
677C3×#123—51no—
678C3×#123—51no—
679C3×C22⋊Q8—51no—
680C3×C22⋊Q8—51no—
681C3×C22⋊Q8—51no—
682C3×C22⋊Q8—51no—
683#947—51no—
684#947—51no—
685#947—51no—
686#947—51no—
687#946—51no—
688#946—51no—
689#946—51no—
690#946—51no—
691#944—51no—
692#940—51no—
693#937—51no—
694#937—51no—
695#930—51no—
696#930—51no—
697#930—51no—
698#930—51no—
699#929—51no—
700#929—51no—
701#898—51no—
702#898—51no—
703#898—51no—
704#898—51no—
705#897—51no—
706#897—51no—
707#896—51no—
708#896—51no—
709#896—51no—
710#896—51no—
711#896—51no—
712#896—51no—
713#896—51no—
714#896—51no—
715#895—51no—
716#895—51no—
717#895—51no—
718#895—51no—
719#895—51no—
720#895—51no—
721#895—51no—
722#895—51no—
723#895—51no—
724#895—51no—
725#895—51no—
726#895C2×D511yescharacteristic
727#895C2×D511yescharacteristic
728#895C2×D511yescharacteristic, complemented
729#894—51no—
730#894—51no—
731#894—51no—
732#894—51no—
733#894—51no—
734#894—51no—
735#894—51no—
736#894—51no—
737#894—51no—
738#894—51no—
739#894—51no—
740#894—51no—
741#894—51no—
742#894C2×D511yescharacteristic
743#894C2×D511yescharacteristic, complemented
744#894C2×D511yescharacteristic, complemented
745#893—51no—
746#893—51no—
747#893—51no—
748#893—51no—
749#893—51no—
750#893—51no—
751#893—51no—
752#893—51no—
753#893—51no—
754#893—51no—
755#892—51no—
756#892—51no—
757#892—51no—
758#892—51no—
759#889—51no—
760#889—51no—
761#889—51no—
762#889—51no—
763#887—51no—
764#887—51no—
765#885—51no—
766#885—51no—
767#885—51no—
768#885—51no—
769#884—51no—
770#884—51no—
771#884—51no—
772#884—51no—
773#884—51no—
774#884—51no—
775#884—51no—
776#884—51no—
777#884—51no—
778#884C2×D511yescharacteristic
779#884C2×D511yescharacteristic
780#884C2×D511yescharacteristic, complemented
781#883—51no—
782#883—51no—
783#883—51no—
784#883—51no—
785#882—51no—
786#882—51no—
787#882—51no—
788#882—51no—
789#882—51no—
790#882—51no—
791#882—51no—
792#882C2×D511yescharacteristic
793#882C2×D511yescharacteristic, complemented
794#882C2×D511yescharacteristic, complemented
795#67⋊C4—51no—
796#67⋊C4—51no—
797#67⋊C4—51no—
798#67⋊C4—51no—
799#67⋊C4—51no—
800#67⋊C4—51no—
801#67⋊C4—51no—
802#67⋊C4—51no—
803#877—51no—
804#877—51no—
805#876—51no—
806#876—51no—
807#876—51no—
808#876C2×D511yescharacteristic, complemented
809#875—51no—
810#875—51no—
811#875—51no—
812#874—51no—
813#874C2×D511yescharacteristic
814C42×D3—51no—
815C42×D3—51no—
816C42×D3—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⋊D5—31no—
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×D20—31no—
868C2×C4×D5—31no—
869C2×C4×D5—31no—
870C2×C4×D5—31no—
871C2×C4×D5—31no—
872C2×C4×D5—31no—
873C2×C4×D5—31no—
874C2×C4×D5—122no—
875C2×C4×D5C22×D311yescharacteristic
876C2×Dic10—31no—
877C2×Dic10—31no—
878C2×Dic10—31no—
879C2×Dic10C22×D311yescharacteristic
880C2×Dic10C22×D311yescharacteristic
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⋊Dic5C22×D311yescharacteristic
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#685—31no—
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⋊Dic5C22×D311yescharacteristic
942C4⋊Dic5C22×D311yescharacteristic
943C4⋊Dic5C22×D311yescharacteristic
944C4⋊Dic5C22×D311yescharacteristic
945C4⋊Dic5C22×D311yescharacteristic
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#683C22×D311yescharacteristic
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×Dic5—31no—
974C4×Dic5—31no—
975C4×Dic5—31no—
976C4×Dic5C22×D311yescharacteristic
977C4×Dic5C22×D311yescharacteristic
978#563—51no—
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—151no—
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×D15—21no—
1017C2×D15—21no—
1018C2×D15—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—21no—
1032C2×C5×D3—21no—
1033C2×C5×D3—21no—
1034C2×C5×D3—44no—
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—
1050Dic15H(5,𝔽2)12yes—
1051C3×Dic5—21no—
1052C3×Dic5—21no—
1053C3×Dic5—21no—
1054C3×Dic5—21no—
1055C3×Dic5—21no—
1056C3×Dic5—21no—
1057C3×Dic5—21no—
1058C5×Dic3—21no—
1059C5×Dic3—21no—
1060C5×Dic3—21no—
1061C23×D3—51no—
1062C23×D3C22×D511yescharacteristic
1063C2×C3×Q8—51no—
1064C2×C3×Q8—51no—
1065C2×C3×Q8—51no—
1066C2×C3×D4—51no—
1067C22×C3×C4—51no—
1068C22×C3×C4—51no—
1069C2×#67—51no—
1070C2×#67—51no—
1071C2×#67—51no—
1072C2×#67—51no—
1073C2×#67—51no—
1074C2×#67—51no—
1075C2×#67—51no—
1076C2×#67C22×D511yescharacteristic
1077C2×#67C22×D511yescharacteristic
1078C2×#67C22×D511yescharacteristic
1079C22×Dic3—51no—
1080C22×Dic3—51no—
1081#239—202no—
1082#239—202no—
1083#239—202no—
1084#237—202no—
1085C2×D12—51no—
1086C2×D12—51no—
1087C2×D12—51no—
1088C2×D12—51no—
1089C2×D12—51no—
1090C2×D12—51no—
1091C2×D12—51no—
1092C2×D12—51no—
1093C2×D12—51no—
1094C2×D12—51no—
1095C2×D12C22×D511yescharacteristic
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×C4×D3—51no—
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—51no—
1117C2×C4×D3—51no—
1118C2×C4×D3—202no—
1119C2×C4×D3—202no—
1120C2×C4×D3C22×D511yescharacteristic
1121C2×C4×D3C22×D511yescharacteristic
1122C2×C4×D3C22×D511yescharacteristic
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⋊C4—51no—
1134C3×C4⋊C4—51no—
1135C3×C4⋊C4—51no—
1136C3×C4⋊C4—51no—
1137C3×C4⋊C4—51no—
1138C3×C4⋊C4—51no—
1139C3×C4⋊C4C22×D511yescharacteristic
1140C3×C4⋊C4C22×D511yescharacteristic
1141C3×C4⋊C4C22×D511yescharacteristic
1142C3×C22⋊C4—51no—
1143C3×C22⋊C4—51no—
1144C3×C22⋊C4—51no—
1145C3×C22⋊C4—51no—
1146C3×C22⋊C4—51no—
1147C3×C22⋊C4—51no—
1148C3×C22⋊C4—51no—
1149C3×C22⋊C4C22×D511yescharacteristic
1150C3×C22⋊C4C22×D511yescharacteristic
1151C3×C22⋊C4C22×D511yescharacteristic
1152C3×C42—51no—
1153C3×C42—51no—
1154C3×C42C22×D511yescharacteristic
1155#217—51no—
1156#217—51no—
1157(C2×D3)⋊C4—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)⋊C4—51no—
1182(C2×D3)⋊C4—51no—
1183(C2×D3)⋊C4—51no—
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
1190(C2×D3)⋊C4C22×D511yescharacteristic
1191(C2×D3)⋊C4C22×D511yescharacteristic
1192(C2×D3)⋊C4C22×D511yescharacteristic
1193C4⋊Dic3—51no—
1194C4⋊Dic3—51no—
1195C4⋊Dic3—51no—
1196C4⋊Dic3—51no—
1197Dic3⋊C4—51no—
1198Dic3⋊C4—51no—
1199Dic3⋊C4—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⋊C4C22×D511yescharacteristic
1211Dic3⋊C4C22×D511yescharacteristic
1212Dic3⋊C4C22×D511yescharacteristic
1213C4×Dic3—51no—
1214C4×Dic3—51no—
1215C4×Dic3—51no—
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—31no—
1233C22×D5—121no—
1234C22×D5—121no—
1235C22×D5—121no—
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—121no—
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—31no—
1278C2×Dic5—31no—
1279C2×Dic5—31no—
1280C2×Dic5—31no—
1281C2×Dic5—31no—
1282C2×Dic5—31no—
1283C2×Dic5—41no—
1284C2×Dic5—62no—
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×Dic5C23×D311yescharacteristic
1295C2×Dic5C23×D311yescharacteristic
1296C2×Dic5C23×D311yescharacteristic
1297C2×Dic5C23×D311yescharacteristic
1298C2×Dic5C23×D311yescharacteristic
1299C2×Dic5C23×D311yescharacteristic
1300C2×Dic5C23×D311yescharacteristic
1301D20—121no—
1302D20—121no—
1303C4×D5—41no—
1304C4×D5—62no—
1305C4×D5—62no—
1306C4×D5—62no—
1307C4×D5—121no—
1308C4×D5—121no—
1309C4×D5—121no—
1310Dic10—41no—
1311Dic10—41no—
1312Dic10—41no—
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—51no—
1323C4⋊Q8—51no—
1324C4⋊Q8—151no—
1325#127—31no—
1326#127—151no—
1327#127—151no—
1328#126—31no—
1329#126—51no—
1330#126—51no—
1331#126—51no—
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—51no—
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—51no—
1384C22⋊Q8—51no—
1385C22⋊Q8—51no—
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—151no—
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—151no—
1443C4×Q8—151no—
1444C4×D4—151no—
1445C4×D4—151no—
1446C4×D4—151no—
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—151no—
1463#117—151no—
1464#117—151no—
1465#117—151no—
1466#117—151no—
1467#117—151no—
1468C2×C42—151no—
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—
1476D15—41no—
1477C3×D5—41no—
1478C5×D3—41no—
1479C5×D3—41no—
1480C5×D3—41no—
1481C5×D3—41no—
1482C5×D3—41no—
1483C23×C3—51no—
1484C23×C3C23×D511yescharacteristic
1485C22×D3—41no—
1486C22×D3—41no—
1487C22×D3—41no—
1488C22×D3—51no—
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×Q8—201no—
1500C3×Q8—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—51no—
1509C2×C3×C4—201no—
1510C2×C3×C4—201no—
1511C2×C3×C4C23×D511yescharacteristic
1512C2×C3×C4C23×D511yescharacteristic
1513C2×C3×C4C23×D511yescharacteristic
1514C2×C3×C4C23×D511yescharacteristic
1515C2×C3×C4C23×D511yescharacteristic
1516C2×C3×C4C23×D511yescharacteristic
1517#67—41no—
1518#67—41no—
1519#67—41no—
1520#67—201no—
1521#67—201no—
1522#67—201no—
1523#67—201no—
1524#67—201no—
1525#67—201no—
1526#67—201no—
1527C2×Dic3—51no—
1528C2×Dic3—51no—
1529C2×Dic3—51no—
1530C2×Dic3—51no—
1531C2×Dic3—51no—
1532C2×Dic3—51no—
1533C2×Dic3—102no—
1534C2×Dic3—102no—
1535C2×Dic3C23×D511yescharacteristic
1536C2×Dic3C23×D511yescharacteristic
1537C2×Dic3C23×D511yescharacteristic
1538D12—41no—
1539D12—41no—
1540D12—41no—
1541D12—41no—
1542D12—41no—
1543D12—41no—
1544D12—41no—
1545D12—41no—
1546D12—41no—
1547D12—201no—
1548D12—201no—
1549D12—201no—
1550D12—201no—
1551D12—201no—
1552D12—201no—
1553D12—201no—
1554D12—201no—
1555D12—201no—
1556D12—201no—
1557C4×D3—41no—
1558C4×D3—41no—
1559C4×D3—41no—
1560C4×D3—102no—
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—
1572C4×D3—201no—
1573C4×D3—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—61no—
1601C2×D5—61no—
1602C2×D5—61no—
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—21no—
1622Dic5—21no—
1623Dic5—32no—
1624Dic5—61no—
1625Dic5—61no—
1626Dic5—61no—
1627Dic5—61no—
1628Dic5—61no—
1629C24—31no—
1630C24—151no—
1631#41—602no—
1632#41—602no—
1633#41—602no—
1634#41—602no—
1635C2×Q8—51no—
1636C2×Q8—51no—
1637C2×Q8—51no—
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—151no—
1655C2×D4—151no—
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—151no—
1677C22×C4—151no—
1678C22×C4—151no—
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—51no—
1705C4⋊C4—51no—
1706C4⋊C4—51no—
1707C4⋊C4—51no—
1708C4⋊C4—51no—
1709C4⋊C4—51no—
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—151no—
1781C42—151no—
1782C42—151no—
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×C3C24×D511yescharacteristic
1798C2×D3—21no—
1799C2×D3—21no—
1800C2×D3—21no—
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—44no—
1814C2×D3—101no—
1815C2×D3—101no—
1816C2×D3—101no—
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—101no—
1828C3×C4—101no—
1829C3×C4—101no—
1830C3×C4—101no—
1831C3×C4—101no—
1832C3×C4—101no—
1833C3×C4—101no—
1834Dic3—21no—
1835Dic3—21no—
1836Dic3—21no—
1837Dic3—52no—
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×C5D3×H(5,𝔽2)11yescharacteristic
1850C2×C5#596811yescharacteristic
1851C2×C5#596811yescharacteristic
1852D5—41no—
1853D5—121no—
1854D5—121no—
1855C23—31no—
1856C23—31no—
1857C23—31no—
1858C23—31no—
1859C23—31no—
1860C23—51no—
1861C23—121no—
1862C23—121no—
1863C23—121no—
1864C23—151no—
1865C23—151no—
1866C23—601no—
1867C23—601no—
1868C23—601no—
1869C23C22×D3×D511yescharacteristic
1870Q8—201no—
1871Q8—201no—
1872Q8—201no—
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—601no—
1890D4—601no—
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—51no—
1916C2×C4—121no—
1917C2×C4—121no—
1918C2×C4—121no—
1919C2×C4—151no—
1920C2×C4—151no—
1921C2×C4—151no—
1922C2×C4—151no—
1923C2×C4—151no—
1924C2×C4—151no—
1925C2×C4—201no—
1926C2×C4—201no—
1927C2×C4—302no—
1928C2×C4—302no—
1929C2×C4—302no—
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×C3D5×H(5,𝔽2)11yescharacteristic
1952C2×C3#6628511yescharacteristic
1953C2×C3#6628511yescharacteristic
1954D3—41no—
1955D3—41no—
1956D3—41no—
1957D3—41no—
1958D3—41no—
1959D3—201no—
1960D3—201no—
1961C5#8711511yescharacteristic, 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—124no—
1984C22—301no—
1985C22—301no—
1986C22—301no—
1987C22—301no—
1988C22—301no—
1989C22—301no—
1990C22—604no—
1991C22C23×D3×D511yescharacteristic
1992C4—21no—
1993C4—21no—
1994C4—21no—
1995C4—21no—
1996C4—21no—
1997C4—21no—
1998C4—61no—
1999C4—61no—
2000C4—61no—
2001C4—101no—
2002C4—101no—
2003C4—101no—
2004C4—101no—
2005C4—101no—
2006C4—101no—
2007C4—101no—
2008C4—152no—
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—601no—
2023C2—601no—
2024C2#1175705411yescharacteristic
2025C2#1175706411yescharacteristic
2026C2#1175706411yescharacteristic
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. #11756465C2semidirect
2. C5×#5711C2semidirect
3. C3×#66046C2semidirect
4. #11753942C2semidirect
5. #11753886C2semidirect
6. #11753864C2semidirect
7. #11753814C2semidirect
8. #11753811C2semidirect
9. #11753766C2semidirect
10. #11753662C2semidirect
11. #11753654C2semidirect
12. #11753646C2semidirect
13. #11753578C2semidirect
14. #11753536C2semidirect
15. #11753423C2semidirect
16. #11753300C2semidirect
17. #11753298C2semidirect
18. #11753221C2semidirect
19. #11753185C2semidirect
20. #11753177C2semidirect
21. #11753176C2semidirect
22. #11753075C2semidirect
23. #11753053C2semidirect
24. #11752989C2semidirect
25. #11752882C2semidirect
26. #11752842C2semidirect
27. #11752842C2semidirect
28. #11752774C2semidirect
29. #11752702C2semidirect
30. #11752642C2semidirect
31. #11752559C2semidirect
33. C22×D3×Dic5C22semidirect
35. C2×C4×D3×D5C22semidirect
38. C2×#6768C22semidirect
39. C3×C5×#126C22semidirect
40. #91785C22semidirect
41. #91783C22semidirect
42. #91782C22semidirect
43. #91781C22semidirect
44. #91778C22semidirect
45. #91776C22semidirect
48. #91772C22semidirect
50. #91770C22semidirect
51. #91766C22semidirect
52. #91765C22semidirect
53. C42×D15C22semidirect
56. C5×#895C22semidirect
58. C5×#894C22semidirect
59. C5×#894C22semidirect
62. C5×#884C22semidirect
64. C5×#882C22semidirect
65. C5×#882C22semidirect
66. C5×#876C22semidirect
68. C3×#4044C22semidirect
69. C3×#4043C22semidirect
70. C3×#4042C22semidirect
71. C3×#4036C22semidirect
72. C3×#4035C22semidirect
73. C3×#4034C22semidirect
77. C3×#4025C22semidirect
78. C3×#4024C22semidirect
79. C3×#4024C22semidirect
80. C3×#4022C22semidirect
81. C3×#4015C22semidirect
84. #91570C22semidirect
90. #67⋊Dic5C22semidirect
91. #91558C22semidirect
93. #91555C22semidirect
94. #91539C22semidirect
96. #91476C22semidirect
99. #91475C22semidirect
100. #91475C22semidirect
101. #91466C22semidirect
102. #91466C22semidirect
103. #91466C22semidirect
104. #91466C22semidirect
108. #91460C22semidirect
109. #91454C22semidirect
113. #91453C22semidirect
114. #91452C22semidirect
118. #91447C22semidirect
121. #91442C22semidirect
123. #91438C22semidirect
124. #91436C22semidirect
125. #91436C22semidirect
127. #91435C22semidirect
128. #91435C22semidirect
129. #91435C22semidirect
130. #91435C22semidirect
131. #91435C22semidirect
132. #91432C22semidirect
133. #91429C22semidirect
135. #91427C22semidirect
137. #91423C22semidirect
138. #91423C22semidirect
139. #91423C22semidirect
140. #91423C22semidirect
142. #91417C22semidirect
146. #91416C22semidirect
147. #91416C22semidirect
148. #91411C22semidirect
149. #91410C22semidirect
150. #91410C22semidirect
152. #91406C22semidirect
153. #91406C22semidirect
154. #91400C22semidirect
155. #91400C22semidirect
156. #91400C22semidirect
157. C4×D3×Dic5C22semidirect
158. C4×D3×Dic5C22semidirect
159. #91396C22semidirect
160. #91394C22semidirect
161. #91382C22semidirect
162. #91377C22semidirect
164. #91372C22semidirect
165. #91372C22semidirect
167. #91370C22semidirect
168. #91369C22semidirect
169. #91365C22semidirect
170. #91355C22semidirect
171. #91354C22semidirect
172. #91352C22semidirect
173. #91352C22semidirect
174. #91351C22semidirect
175. #91351C22semidirect
177. #91350C22semidirect
178. #91346C22semidirect
179. #91345C22semidirect
180. #91342C22semidirect
181. #91341C22semidirect
182. #91341C22semidirect
183. #91339C22semidirect
184. #91327C22semidirect
186. #91326C22semidirect
187. #91325C22semidirect
193. #66046D3semidirect
389. #5711D5semidirect
420. C5×#126C2×D3semidirect
492. #4044C2×D3semidirect
494. #4043C2×D3semidirect
498. #4042C2×D3semidirect
506. #4036C2×D3semidirect
510. #4035C2×D3semidirect
512. #4034C2×D3semidirect
550. #4025C2×D3semidirect
557. #4024C2×D3semidirect
558. #4024C2×D3semidirect
564. #4022C2×D3semidirect
566. #4015C2×D3semidirect
673. C3×#126C2×D5semidirect
728. #895C2×D5semidirect
743. #894C2×D5semidirect
744. #894C2×D5semidirect
780. #884C2×D5semidirect
793. #882C2×D5semidirect
794. #882C2×D5semidirect
808. #876C2×D5semidirect
1339. #126D3×D5semidirect
1790. C3×C5#3529semidirect
1961. C5#87115semidirect
2014. C3#10618971semidirect

Maximal subgroups

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

subgroupindex
#117564652
C5×#57112
C3×#660462
#117539422
#117538862
#117538642
#117538142
#117538112
#117537662
#117536622
#117536542
#117536462
#117535782
#117535362
#117534232
#117533002
#117532982
#117532212
#117531852
#117531772
#117531762
#117530752
#117530532
#117529892
#117528822
#117528422
#117527742
#117527022
#117526422
#117525592
#106189713
#871155