Finite Group Databasebeta

← #14484178

Subgroups — #14484178

Order 1920.

2264 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756281C211yesmaximal, characteristic, complemented
2C5×#5527C211yesmaximal, characteristic, complemented
3C3×#65865C211yesmaximal, characteristic, complemented
4#11754666C211yesmaximal, characteristic, complemented
5#11754449C211yesmaximal, characteristic, complemented
6#11754376C211yesmaximal, characteristic, complemented
7C2×#91400C211yesmaximal, characteristic, complemented
8#11753930C211yesmaximal, characteristic, complemented
9#11753864C211yesmaximal, characteristic, complemented
10#11753766C211yesmaximal, characteristic, complemented
11#11753735C211yesmaximal, characteristic, complemented
12#11753581C211yesmaximal, characteristic, complemented
13#11753550C211yesmaximal, characteristic, complemented
14#11753546C211yesmaximal, characteristic, complemented
15#11753460C211yesmaximal, characteristic, complemented
16#11753273C211yesmaximal, characteristic, complemented
17D3×#4027C211yesmaximal, characteristic, complemented
18#11753110C211yesmaximal, characteristic, complemented
19#11752988C211yesmaximal, characteristic, complemented
20#11752952C211yesmaximal, characteristic, complemented
21#11752842C211yesmaximal, characteristic, complemented
22#11752823C211yesmaximal, characteristic, complemented
23#11752804C211yesmaximal, characteristic, complemented
24#11752768C211yesmaximal, characteristic, complemented
25#11752723C211yesmaximal, characteristic, complemented
26#11752702C211yesmaximal, characteristic, complemented
27#11752688C211yesmaximal, characteristic, complemented
28#11752628C211yesmaximal, characteristic, complemented
29#11752612C211yesmaximal, characteristic, complemented
30#11752586C211yesmaximal, characteristic, complemented
31C4×#6768C211yesmaximal, characteristic, complemented
32#10618691—31nomaximal, Hall
33C2×#6817C2211yescharacteristic
34C2×D3×C22⋊D5C2211yescharacteristic
35C2×#6782C2211yescharacteristic
36C22×D3×Dic5C2211yescharacteristic
37C2×C4×D3×D5C2211yescharacteristic
38C2×#6768C2211yescharacteristic
39C3×C5×#117C2211yescharacteristic, complemented
40C2×C4×Dic15C2211yescharacteristic, complemented
41#91782C2211yescharacteristic, complemented
42#91782C2211yescharacteristic, complemented
43#91776C2211yescharacteristic, complemented
44#91776C2211yescharacteristic, complemented
45#91770C2211yescharacteristic
46#91770C2211yescharacteristic
47#91770C2211yescharacteristic, complemented
48#91770C2211yescharacteristic, complemented
49#91761C2211yescharacteristic, complemented
50#91761C2211yescharacteristic, complemented
51C42×D15C2211yescharacteristic, complemented
52C42×D15C2211yescharacteristic, complemented
53C5×#929C2211yescharacteristic, complemented
54C2×C5×(C2×D3)⋊C4C2211yescharacteristic
55C5×#898C2211yescharacteristic, complemented
56C5×#896C2211yescharacteristic
57C5×#894C2211yescharacteristic
58C5×#894C2211yescharacteristic, complemented
59C5×#882C2211yescharacteristic
60C5×#67⋊C4C2211yescharacteristic, complemented
61C5×D3×C22⋊C4C2211yescharacteristic
62C5×#878C2211yescharacteristic, complemented
63C5×#876C2211yescharacteristic, complemented
64C5×#875C2211yescharacteristic, complemented
65C4×C5×D12C2211yescharacteristic
66C5×#872C2211yescharacteristic
67C3×#4075C2211yescharacteristic
68C2×C3×#683C2211yescharacteristic, complemented
69C3×#4044C2211yescharacteristic, complemented
70C3×#4042C2211yescharacteristic, complemented
71C3×#4035C2211yescharacteristic, complemented
72C3×#4035C2211yescharacteristic, complemented
73C3×#4032C2211yescharacteristic
74C3×#4027C2211yescharacteristic
75C3×#4024C2211yescharacteristic, complemented
76C3×#4023C2211yescharacteristic, complemented
77C3×#4022C2211yescharacteristic, complemented
78C3×#4018C2211yescharacteristic, complemented
79C3×#4016C2211yescharacteristic, complemented
80C3×C4×Dic10C2211yescharacteristic, complemented
81#91576C2211yescharacteristic, complemented
82#91571C2211yescharacteristic
83#91570C2211yescharacteristic
84#91569C2211yescharacteristic
85#91566C2211yescharacteristic, complemented
86#67⋊Dic5C2211yescharacteristic, complemented
87#91559C2211yescharacteristic
88#91556C2211yescharacteristic
89#91552C2211yescharacteristic
90#91546C2211yescharacteristic, complemented
91C2×#6668C2211yescharacteristic, complemented
92C2×(C2×D3)⋊Dic5C2211yescharacteristic
93C2×Dic3×Dic5C2211yescharacteristic, complemented
94#91476C2211yescharacteristic
95#91475C2211yescharacteristic
96#91473C2211yescharacteristic
97#91473C2211yescharacteristic
98D3×#685C2211yescharacteristic
99#91466C2211yescharacteristic
100#91464C2211yescharacteristic
101#91464C2211yescharacteristic, complemented
102#91462C2211yescharacteristic
103#91461C2211yescharacteristic
104#91455C2211yescharacteristic, complemented
105#91453C2211yescharacteristic
106#91452C2211yescharacteristic, complemented
107#91448C2211yescharacteristic, complemented
108#91446C2211yescharacteristic, complemented
109C4×#1203C2211yescharacteristic
110C4×#1203C2211yescharacteristic, complemented
111#91442C2211yescharacteristic
112#91442C2211yescharacteristic, complemented
113#91440C2211yescharacteristic
114#91438C2211yescharacteristic
115#91436C2211yescharacteristic
116#91435C2211yescharacteristic
117#91435C2211yescharacteristic, complemented
118#91433C2211yescharacteristic, complemented
119#91432C2211yescharacteristic
120#91432C2211yescharacteristic, complemented
121#91427C2211yescharacteristic
122#91423C2211yescharacteristic
123#91420C2211yescharacteristic
124#91420C2211yescharacteristic, complemented
125#91419C2211yescharacteristic, complemented
126#91416C2211yescharacteristic, complemented
127#91411C2211yescharacteristic, complemented
128#91410C2211yescharacteristic, complemented
129#91406C2211yescharacteristic
130#91406C2211yescharacteristic
131#91406C2211yescharacteristic, complemented
132#91406C2211yescharacteristic, complemented
133#91406C2211yescharacteristic, complemented
134#91405C2211yescharacteristic
135#91404C2211yescharacteristic, complemented
136#91404C2211yescharacteristic, complemented
137#91402C2211yescharacteristic, complemented
138C4×#1200C2211yescharacteristic, complemented
139#91400C2211yescharacteristic
140#91400C2211yescharacteristic
141#91400C2211yescharacteristic
142#91400C2211yescharacteristic
143#91400C2211yescharacteristic
144#91400C2211yescharacteristic, complemented
145#91400C2211yescharacteristic, complemented
146#91400C2211yescharacteristic, complemented
147#91400C2211yescharacteristic, complemented
148#91400C2211yescharacteristic, complemented
149D3×#683C2211yescharacteristic
150#91398C2211yescharacteristic, complemented
151C4×D3×Dic5C2211yescharacteristic
152C4×D3×Dic5C2211yescharacteristic, complemented
153#91396C2211yescharacteristic, complemented
154#91394C2211yescharacteristic, complemented
155#91394C2211yescharacteristic, complemented
156#91383C2211yescharacteristic, complemented
157#91382C2211yescharacteristic, complemented
158#91382C2211yescharacteristic, complemented
159#91380C2211yescharacteristic, complemented
160#91378C2211yescharacteristic, complemented
161#91377C2211yescharacteristic, complemented
162#91372C2211yescharacteristic, complemented
163#91371C2211yescharacteristic
164#91367C2211yescharacteristic, complemented
165#91367C2211yescharacteristic, complemented
166#91367C2211yescharacteristic, complemented
167#91366C2211yescharacteristic, complemented
168#91361C2211yescharacteristic, complemented
169#91357C2211yescharacteristic, complemented
170#91355C2211yescharacteristic
171#91355C2211yescharacteristic, complemented
172#91355C2211yescharacteristic, complemented
173#91354C2211yescharacteristic, complemented
174#91352C2211yescharacteristic
175#91351C2211yescharacteristic
176#91350C2211yescharacteristic, complemented
177#91347C2211yescharacteristic, complemented
178#91346C2211yescharacteristic, complemented
179#91345C2211yescharacteristic, complemented
180#91344C2211yescharacteristic, complemented
181#91339C2211yescharacteristic, complemented
182#91331C2211yescharacteristic, complemented
183#91329C2211yescharacteristic, complemented
184#91328C2211yescharacteristic, complemented
185#91325C2211yescharacteristic, complemented
186#91325C2211yescharacteristic, complemented
187#91324C2211yescharacteristic, complemented
188#86827—51nomaximal, Hall
189C5×#551—31no—
190#66042—31no—
191#66040—31no—
192#66040—31no—
193#66036—31no—
194#66014—31no—
195#66004—31no—
196#65995—31no—
197#65990—31no—
198#65989—31no—
199#65984—31no—
200#65983—31no—
201#65983—31no—
202#65971—31no—
203#65970—31no—
204#65958—31no—
205#65956—31no—
206#65925—31no—
207#65920—31no—
208#65890—31no—
209#65874—31no—
210C4×#711—31no—
211C4×#711—31no—
212#65865—31no—
213#65865D311yescharacteristic, complemented
214#65856—31no—
215D5×#117—31no—
216#65829—31no—
217#65824—31no—
218C2×#4027—31no—
219C2×#4023—31no—
220C23×C5×D3C2311yescharacteristic
221C22×D3×D5C2311yescharacteristic
222C22×C3×C4×C5C2311yescharacteristic
223C2×#1220C2311yescharacteristic
224C2×#1220C2311yescharacteristic
225C22×Dic15C2311yescharacteristic
226C22×Dic15C2311yescharacteristic
227#6817—24no—
228C2×D60C2311yescharacteristic
229C2×C4×D15C2311yescharacteristic
230C2×C4×D15C2311yescharacteristic
231C2×C4×D15C2311yescharacteristic
232C2×C4×D15C2311yescharacteristic
233C2×C4×D15C2311yescharacteristic
234C2×C4×D15C2311yescharacteristic
235C2×Dic30C2311yescharacteristic
236C2×C5×#67C2311yescharacteristic
237C22×C5×Dic3C2311yescharacteristic
238C2×C5×D12C2311yescharacteristic
239C2×C5×D12C2311yescharacteristic
240C2×C4×C5×D3C2311yescharacteristic
241C2×C4×C5×D3C2311yescharacteristic
242C2×C4×C5×D3C2311yescharacteristic
243C2×C5×Dic6C2311yescharacteristic
244C2×C3×C22⋊D5C2311yescharacteristic
245C22×C3×Dic5C2311yescharacteristic
246C22×C3×Dic5C2311yescharacteristic
247C2×C3×C4×D5C2311yescharacteristic
248C2×C3×Dic10C2311yescharacteristic
249D3×C22⋊D5—24no—
250C2×#1204C2311yescharacteristic
251C2×#1204C2311yescharacteristic
252C2×#1203C2311yescharacteristic
253C2×#1203C2311yescharacteristic
254C2×#1203C2311yescharacteristic
255C2×#1203C2311yescharacteristic
256C2×#1203C2311yescharacteristic
257C2×#1202C2311yescharacteristic
258C2×#1201C2311yescharacteristic
259C2×#1201C2311yescharacteristic
260C2×#1200C2311yescharacteristic
261C2×#1200C2311yescharacteristic
262C2×#1200C2311yescharacteristic
263#6782—24no—
264C2×D3×Dic5—24no—
265C2×D3×Dic5C2311yescharacteristic
266C2×D3×Dic5C2311yescharacteristic
267C2×D3×Dic5C2311yescharacteristic
268C2×D3×Dic5C2311yescharacteristic
269C2×D3×Dic5C2311yescharacteristic
270C2×D3×Dic5C2311yescharacteristic
271C2×D3×Dic5C2311yescharacteristic
272C2×D5×Dic3C2311yescharacteristic
273C4×D3×D5—24no—
274#6768—24no—
275C3×C5×C4⋊C4C2311yescharacteristic
276C3×C5×C4⋊C4C2311yescharacteristic
277C3×C5×C22⋊C4C2311yescharacteristic
278C3×C5×C22⋊C4C2311yescharacteristic
279C3×C42×C5C2311yescharacteristic
280C3×C42×C5C2311yescharacteristic
281#6714C2311yescharacteristic
282#6714C2311yescharacteristic
283#6714C2311yescharacteristic
284#6714C2311yescharacteristic
285#6712C2311yescharacteristic
286#6712C2311yescharacteristic
287#6712C2311yescharacteristic
288#6712C2311yescharacteristic
289C4×Dic15C2311yescharacteristic
290C4×Dic15C2311yescharacteristic
291C4×Dic15C2311yescharacteristic
292C4×Dic15C2311yescharacteristic
293C4×Dic15C2311yescharacteristic
294C4×Dic15C2311yescharacteristic
295C4×Dic15C2311yescharacteristic
296C4×Dic15C2311yescharacteristic
297C5×#217C2311yescharacteristic
298C5×(C2×D3)⋊C4C2311yescharacteristic
299C5×(C2×D3)⋊C4C2311yescharacteristic
300C5×(C2×D3)⋊C4C2311yescharacteristic
301C5×(C2×D3)⋊C4C2311yescharacteristic
302C5×(C2×D3)⋊C4C2311yescharacteristic
303C5×(C2×D3)⋊C4C2311yescharacteristic
304C5×(C2×D3)⋊C4C2311yescharacteristic
305C5×(C2×D3)⋊C4C2311yescharacteristic
306C5×(C2×D3)⋊C4C2311yescharacteristic
307C5×(C2×D3)⋊C4C2311yescharacteristic
308C5×(C2×D3)⋊C4C2311yescharacteristic
309C5×C4⋊Dic3C2311yescharacteristic
310C5×Dic3⋊C4C2311yescharacteristic
311C5×Dic3⋊C4C2311yescharacteristic
312C5×Dic3⋊C4C2311yescharacteristic
313C5×Dic3⋊C4C2311yescharacteristic
314C5×Dic3⋊C4C2311yescharacteristic
315C4×C5×Dic3C2311yescharacteristic
316C3×C22⋊Dic5C2311yescharacteristic
317C3×#685C2311yescharacteristic
318C3×#685C2311yescharacteristic
319C3×#685C2311yescharacteristic
320C3×#685C2311yescharacteristic
321C3×#685C2311yescharacteristic
322C3×C4⋊Dic5C2311yescharacteristic
323C3×C4⋊Dic5C2311yescharacteristic
324C3×C4⋊Dic5C2311yescharacteristic
325C3×#683C2311yescharacteristic
326C3×#683C2311yescharacteristic
327C3×#683C2311yescharacteristic
328C3×#683C2311yescharacteristic
329C3×#683C2311yescharacteristic
330C3×#683C2311yescharacteristic
331C3×#683C2311yescharacteristic
332C3×#683C2311yescharacteristic
333C3×#683C2311yescharacteristic
334C3×#683C2311yescharacteristic
335C3×#683C2311yescharacteristic
336C3×C4×Dic5C2311yescharacteristic
337C3×C4×Dic5C2311yescharacteristic
338C3×C4×Dic5C2311yescharacteristic
339Dic3⋊Dic5C2311yescharacteristic
340Dic3⋊Dic5C2311yescharacteristic
341Dic3⋊Dic5C2311yescharacteristic
342Dic3⋊Dic5C2311yescharacteristic
343Dic3⋊Dic5C2311yescharacteristic
344#6669C2311yescharacteristic
345#6669C2311yescharacteristic
346#6669C2311yescharacteristic
347#6669C2311yescharacteristic
348#6668C2311yescharacteristic
349#6668C2311yescharacteristic
350#6668C2311yescharacteristic
351#6668C2311yescharacteristic
352#6668C2311yescharacteristic
353#6668C2311yescharacteristic
354#6668C2311yescharacteristic
355#6667C2311yescharacteristic
356#6667C2311yescharacteristic
357#6667C2311yescharacteristic
358#6667C2311yescharacteristic
359#6667C2311yescharacteristic
360#6667C2311yescharacteristic
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#6665C2311yescharacteristic
371#6665C2311yescharacteristic
372#6665C2311yescharacteristic
373Dic3×Dic5C2311yescharacteristic
374Dic3×Dic5C2311yescharacteristic
375Dic3×Dic5C2311yescharacteristic
376Dic3×Dic5C2311yescharacteristic
377Dic3×Dic5C2311yescharacteristic
378Dic3×Dic5C2311yescharacteristic
379Dic3×Dic5C2311yescharacteristic
380Dic3×Dic5C2311yescharacteristic
381C3×#552—51no—
382#5706—51no—
383#5706—51no—
384#5705—51no—
385#5705—51no—
386#5695—51no—
387#5693—51no—
388#5693—51no—
389#5691—51no—
390#5691—51no—
391#5688—51no—
392#5654—51no—
393#5654—51no—
394#5649—51no—
395#5649—51no—
396#5641—51no—
397#5635—51no—
398#5627—51no—
399#5627—51no—
400#5581—51no—
401C4×#239—51no—
402#5565—51no—
403C4×D3×D4—51no—
404#5532—51no—
405#5527—51no—
406#5527D511yescharacteristic, complemented
407#5522—51no—
408#5522—51no—
409D3×#117—51no—
410#5507—51no—
411C2×#892—51no—
412C22×C22⋊D5—31no—
413C23×Dic5—31no—
414C2×#711—31no—
415C2×#711—31no—
416C2×#709—31no—
417C22×C4×D5—31no—
418C5×#126—31no—
419C5×#126—31no—
420C5×#124—31no—
421C5×#123—31no—
422C5×#123—31no—
423C5×#123—31no—
424C5×C22⋊Q8—31no—
425C5×C22⋊Q8—31no—
426C5×#120—31no—
427C4×C5×D4—31no—
428C4×C5×D4—31no—
429C5×#117—31no—
430C5×#117C2×D311yescharacteristic, complemented
431C2×C5×C22⋊C4—31no—
432C2×C5×C22⋊C4—31no—
433#4099—31no—
434C2×C22⋊Dic5—31no—
435#4093—31no—
436#4092—31no—
437Q8×Dic5—31no—
438#4090—31no—
439#4085—31no—
440#4085—31no—
441#4085—31no—
442#4085—31no—
443#4084—31no—
444#4083—31no—
445#4081—31no—
446D4×Dic5—31no—
447D4×Dic5—31no—
448D4×Dic5—31no—
449#4076—31no—
450#4075—31no—
451#4075—31no—
452#4075C2×D311yescharacteristic
453C4×C22⋊D5—31no—
454C4×C22⋊D5—31no—
455C4×C22⋊D5—31no—
456C4×C22⋊D5—31no—
457C2×#685—31no—
458#4072—31no—
459#4070—31no—
460C2×#683—31no—
461C2×#683—31no—
462C2×#683C2×D311yescharacteristic, complemented
463C2×C4×Dic5—31no—
464C2×C4×Dic5—31no—
465C2×C4×Dic5—31no—
466C2×C4×Dic5—31no—
467#4044—31no—
468#4044—31no—
469#4044—31no—
470#4044C2×D311yescharacteristic, complemented
471#4042—31no—
472#4042—31no—
473#4042—31no—
474#4042C2×D311yescharacteristic, complemented
475#4040—31no—
476#4040—31no—
477#4039—31no—
478#4039—31no—
479#4039—31no—
480#4038—31no—
481#4038—31no—
482#4038—31no—
483#4038—31no—
484D5×C4⋊C4—31no—
485D5×C4⋊C4—31no—
486#4036—31no—
487#4035—31no—
488#4035—31no—
489#4035—31no—
490#4035—31no—
491#4035C2×D311yescharacteristic, complemented
492#4035C2×D311yescharacteristic, complemented
493#4034—31no—
494#4033—31no—
495#4033—31no—
496#4033—31no—
497#4033—31no—
498#4033—31no—
499#4032—31no—
500#4032—31no—
501#4032C2×D311yescharacteristic
502#4031—31no—
503#4031—31no—
504#4031—31no—
505#4031—31no—
506#4030—31no—
507#4030—31no—
508#4030—31no—
509#4030—31no—
510#4029—31no—
511#4029—31no—
512#4029—31no—
513#4029—31no—
514#4028—31no—
515#4027—31no—
516#4027—31no—
517#4027—31no—
518#4027—31no—
519#4027—31no—
520#4027—31no—
521#4027—31no—
522#4027—31no—
523#4027—31no—
524#4027—31no—
525#4027—31no—
526#4027—31no—
527#4027—31no—
528#4027—31no—
529#4027—31no—
530#4027C2×D311yescharacteristic
531D5×C22⋊C4—31no—
532D5×C22⋊C4—31no—
533#4025—31no—
534#4025—31no—
535#4025—31no—
536#4025—31no—
537#4024—31no—
538#4024—31no—
539#4024—31no—
540#4024—31no—
541#4024—31no—
542#4024C2×D311yescharacteristic, complemented
543#4023—31no—
544#4023—31no—
545#4023—31no—
546#4023—31no—
547#4023—31no—
548#4023—31no—
549#4023—31no—
550#4023—31no—
551#4023—31no—
552#4023—31no—
553#4023—31no—
554#4023C2×D311yescharacteristic, complemented
555#4022—31no—
556#4022C2×D311yescharacteristic, complemented
557#4018—31no—
558#4018—31no—
559#4018—31no—
560#4018C2×D311yescharacteristic, complemented
561C42×D5—31no—
562C42×D5—31no—
563C42×D5—31no—
564#4016C2×D311yescharacteristic, complemented
565C4×Dic10—31no—
566C4×Dic10C2×D311yescharacteristic, complemented
567#3475—151noSylow
568C23×C3×C5C2411yescharacteristic
569C22×D15C2411yescharacteristic
570C22×D15C2411yescharacteristic
571C22×C5×D3—22no—
572C22×C5×D3—22no—
573C22×C5×D3—41no—
574C22×C5×D3C2411yescharacteristic
575C22×C5×D3C2411yescharacteristic
576C22×C5×D3C2411yescharacteristic
577C22×C3×D5C2411yescharacteristic
578C2×D3×D5—22no—
579C2×D3×D5—22no—
580C2×D3×D5—41no—
581C2×C3×C4×C5—22no—
582C2×C3×C4×C5C2411yescharacteristic
583C2×C3×C4×C5C2411yescharacteristic
584C2×C3×C4×C5C2411yescharacteristic
585C2×C3×C4×C5C2411yescharacteristic
586C2×C3×C4×C5C2411yescharacteristic
587C2×C3×C4×C5C2411yescharacteristic
588#1220—22no—
589#1220#4114yescomplemented
590C2×Dic15—22no—
591C2×Dic15—41no—
592C2×Dic15C2411yescharacteristic
593C2×Dic15C2411yescharacteristic
594C2×Dic15C2411yescharacteristic
595C2×Dic15C2411yescharacteristic
596C2×Dic15C2411yescharacteristic
597C2×Dic15C2411yescharacteristic
598D60—22no—
599C4×D15—22no—
600C4×D15—22no—
601C4×D15—22no—
602C4×D15—22no—
603C4×D15—41no—
604C4×D15—41no—
605Dic30—22no—
606C5×#67—22no—
607C2×C5×Dic3—41no—
608C2×C5×Dic3C2411yescharacteristic
609C2×C5×Dic3C2411yescharacteristic
610C2×C5×Dic3C2411yescharacteristic
611C2×C5×Dic3C2411yescharacteristic
612C2×C5×Dic3C2411yescharacteristic
613C5×D12—22no—
614C5×D12—41no—
615C4×C5×D3—22no—
616C4×C5×D3—41no—
617C4×C5×D3—41no—
618C5×Dic6—41no—
619C3×C22⋊D5—22no—
620C2×C3×Dic5—22no—
621C2×C3×Dic5—22no—
622C2×C3×Dic5C2411yescharacteristic
623C2×C3×Dic5C2411yescharacteristic
624C2×C3×Dic5C2411yescharacteristic
625C2×C3×Dic5C2411yescharacteristic
626C2×C3×Dic5C2411yescharacteristic
627C2×C3×Dic5C2411yescharacteristic
628C2×C3×Dic5C2411yescharacteristic
629C3×C4×D5—22no—
630C3×Dic10—22no—
631#1204—22no—
632#1204—41no—
633#1203—22no—
634#1203—22no—
635#1203—22no—
636#1203—22no—
637#1203—41no—
638#1202—41no—
639#1201—22no—
640#1201—41no—
641#1200—22no—
642#1200—22no—
643#1200—41no—
644D3×Dic5—22no—
645D3×Dic5—22no—
646D3×Dic5—22no—
647D3×Dic5—22no—
648D3×Dic5—22no—
649D3×Dic5—22no—
650D3×Dic5#4114yescomplemented
651D5×Dic3—22no—
652C2×#239—51no—
653C2×D3×D4—51no—
654C2×#235—51no—
655C2×#235—51no—
656C22×C4×D3—51no—
657C22×C4×D3—51no—
658C3×#126—51no—
659C3×#126—51no—
660C3×#125—51no—
661C3×#125—51no—
662C3×#125—51no—
663C3×#123—51no—
664C3×#123—51no—
665C3×C22⋊Q8—51no—
666C3×C22⋊Q8—51no—
667C3×C4×Q8—51no—
668C3×C4×D4—51no—
669C3×#117—51no—
670C3×#117—51no—
671C3×#117C2×D511yescharacteristic, complemented
672C2×C3×C4⋊C4—51no—
673#946—51no—
674#946—51no—
675Q8×Dic3—51no—
676#939—51no—
677#939—51no—
678D4×Dic3—51no—
679#930—51no—
680#930—51no—
681#929—51no—
682#929C2×D511yescharacteristic, complemented
683C4×#67—51no—
684C4×#67—51no—
685C2×(C2×D3)⋊C4—51no—
686C2×(C2×D3)⋊C4C2×D511yescharacteristic
687#926—51no—
688C2×C4⋊Dic3—51no—
689C2×C4×Dic3—51no—
690C2×C4×Dic3—51no—
691#898—51no—
692#898—51no—
693#898—51no—
694#898—51no—
695#898—51no—
696#898C2×D511yescharacteristic, complemented
697#897—51no—
698#897—51no—
699#896—51no—
700#896—51no—
701#896—51no—
702#896—51no—
703#896—51no—
704#896C2×D511yescharacteristic
705#895—51no—
706#895—51no—
707#895—51no—
708#895—51no—
709#894—51no—
710#894—51no—
711#894—51no—
712#894—51no—
713#894—51no—
714#894—51no—
715#894—51no—
716#894—51no—
717#894C2×D511yescharacteristic
718#894C2×D511yescharacteristic, complemented
719#893—51no—
720#893—51no—
721#893—51no—
722#893—51no—
723#893—51no—
724#893—51no—
725#893—51no—
726#893—51no—
727#893—51no—
728#893—51no—
729#892—51no—
730#892—51no—
731#892—51no—
732#892—51no—
733#892—51no—
734#892—51no—
735#892—51no—
736#892—51no—
737#892—51no—
738#892—51no—
739#892—51no—
740D3×C4⋊C4—51no—
741D3×C4⋊C4—51no—
742D3×C4⋊C4—51no—
743#889—51no—
744#889—51no—
745#889—51no—
746#889—51no—
747#888—51no—
748#888—51no—
749#887—51no—
750#887—51no—
751#887—51no—
752#887—51no—
753#887—51no—
754#887—51no—
755#885—51no—
756#885—51no—
757#885—51no—
758#885—51no—
759#884—51no—
760#884—51no—
761#883—51no—
762#883—51no—
763#882—51no—
764#882—51no—
765#882—51no—
766#882C2×D511yescharacteristic
767#67⋊C4—51no—
768#67⋊C4—51no—
769#67⋊C4—51no—
770#67⋊C4—51no—
771#67⋊C4—51no—
772#67⋊C4—51no—
773#67⋊C4—51no—
774#67⋊C4—51no—
775#67⋊C4—51no—
776#67⋊C4C2×D511yescharacteristic, complemented
777D3×C22⋊C4—51no—
778D3×C22⋊C4—51no—
779D3×C22⋊C4—51no—
780D3×C22⋊C4C2×D511yescharacteristic
781#879—51no—
782#879—51no—
783#878—51no—
784#878C2×D511yescharacteristic, complemented
785#877—51no—
786#877—51no—
787#876—51no—
788#876C2×D511yescharacteristic, complemented
789#875—51no—
790#875C2×D511yescharacteristic, complemented
791C4×D12—51no—
792C4×D12—51no—
793C4×D12—51no—
794C4×D12C2×D511yescharacteristic
795#872—51no—
796#872—51no—
797#872—51no—
798#872—51no—
799#872—51no—
800#872C2×D511yescharacteristic
801C42×D3—51no—
802C42×D3—51no—
803C42×D3—51no—
804C42×D3—51no—
805C42×D3—51no—
806#870—51no—
807C24×C5—31no—
808C23×D5—31no—
809C2×C5×Q8—31no—
810C2×C5×D4—31no—
811C2×C5×D4—31no—
812C2×C5×D4—31no—
813C22×C4×C5—31no—
814C22×C4×C5—31no—
815C22×C4×C5—31no—
816C22×C4×C5—31no—
817C22×C4×C5C22×D311yescharacteristic
818C2×C22⋊D5—31no—
819C2×C22⋊D5—31no—
820C2×C22⋊D5—31no—
821C2×C22⋊D5—31no—
822C2×C22⋊D5—31no—
823C2×C22⋊D5—31no—
824C2×C22⋊D5—31no—
825C2×C22⋊D5—31no—
826C2×C22⋊D5—31no—
827C2×C22⋊D5—64no—
828C2×C22⋊D5C22×D311yescharacteristic
829C22×Dic5—31no—
830C22×Dic5—31no—
831C22×Dic5—31no—
832C22×Dic5—31no—
833C22×Dic5—31no—
834C22×Dic5—31no—
835C22×Dic5—31no—
836C22×Dic5—31no—
837C22×Dic5—31no—
838C22×Dic5—64no—
839C22×Dic5C22×D311yescharacteristic
840C22×Dic5C22×D311yescharacteristic
841#711—64no—
842#711—64no—
843#709—64no—
844C2×D20—31no—
845C2×D20—31no—
846C2×C4×D5—31no—
847C2×C4×D5—31no—
848C2×C4×D5—31no—
849C2×C4×D5—31no—
850C2×C4×D5—31no—
851C2×C4×D5—31no—
852C2×C4×D5—31no—
853C2×C4×D5—31no—
854C2×C4×D5—31no—
855C2×C4×D5—31no—
856C2×C4×D5—64no—
857C2×C4×D5C22×D311yescharacteristic
858C2×Dic10—31no—
859C2×Dic10—31no—
860C2×Dic10—31no—
861C2×Dic10C22×D311yescharacteristic
862C5×C4⋊C4—31no—
863C5×C4⋊C4—31no—
864C5×C4⋊C4—31no—
865C5×C4⋊C4—31no—
866C5×C4⋊C4—31no—
867C5×C4⋊C4—31no—
868C5×C4⋊C4C22×D311yescharacteristic
869C5×C4⋊C4C22×D311yescharacteristic
870C5×C22⋊C4—31no—
871C5×C22⋊C4—31no—
872C5×C22⋊C4—31no—
873C5×C22⋊C4—31no—
874C5×C22⋊C4—31no—
875C5×C22⋊C4—31no—
876C5×C22⋊C4—31no—
877C5×C22⋊C4—31no—
878C5×C22⋊C4—31no—
879C5×C22⋊C4—31no—
880C5×C22⋊C4—31no—
881C5×C22⋊C4—31no—
882C5×C22⋊C4C22×D311yescharacteristic
883C5×C22⋊C4C22×D311yescharacteristic
884C42×C5—31no—
885C42×C5C22×D311yescharacteristic
886C42×C5C22×D311yescharacteristic
887C22⋊Dic5—31no—
888C22⋊Dic5—31no—
889C22⋊Dic5—31no—
890C22⋊Dic5—31no—
891C22⋊Dic5—31no—
892C22⋊Dic5—31no—
893C22⋊Dic5—31no—
894C22⋊Dic5—31no—
895C22⋊Dic5—31no—
896C22⋊Dic5C22×D311yescharacteristic
897#685—31no—
898#685—31no—
899#685—31no—
900#685—31no—
901#685—31no—
902#685—31no—
903#685—31no—
904#685—31no—
905#685—31no—
906#685—31no—
907#685—31no—
908#685—31no—
909#685—31no—
910#685C22×D311yescharacteristic
911#685C22×D311yescharacteristic
912#685C22×D311yescharacteristic
913#685C22×D311yescharacteristic
914#685C22×D311yescharacteristic
915C4⋊Dic5—31no—
916C4⋊Dic5—31no—
917C4⋊Dic5—31no—
918C4⋊Dic5—31no—
919C4⋊Dic5—31no—
920C4⋊Dic5C22×D311yescharacteristic
921C4⋊Dic5C22×D311yescharacteristic
922C4⋊Dic5C22×D311yescharacteristic
923#683—31no—
924#683—31no—
925#683—31no—
926#683—31no—
927#683—31no—
928#683—31no—
929#683—31no—
930#683—31no—
931#683—31no—
932#683—31no—
933#683—31no—
934#683—31no—
935#683—31no—
936#683—31no—
937#683—31no—
938#683C22×D311yescharacteristic
939#683C22×D311yescharacteristic
940#683C22×D311yescharacteristic
941#683C22×D311yescharacteristic
942#683C22×D311yescharacteristic
943#683C22×D311yescharacteristic
944#683C22×D311yescharacteristic
945#683C22×D311yescharacteristic
946#683C22×D311yescharacteristic
947#683C22×D311yescharacteristic
948#683C22×D311yescharacteristic
949C4×Dic5—31no—
950C4×Dic5—31no—
951C4×Dic5—31no—
952C4×Dic5—31no—
953C4×Dic5—31no—
954C4×Dic5—31no—
955C4×Dic5—31no—
956C4×Dic5—31no—
957C4×Dic5—31no—
958C4×Dic5—31no—
959C4×Dic5—31no—
960C4×Dic5—31no—
961C4×Dic5—31no—
962C4×Dic5—31no—
963C4×Dic5—31no—
964C4×Dic5—31no—
965C4×Dic5C22×D311yescharacteristic
966C4×Dic5C22×D311yescharacteristic
967C4×Dic5C22×D311yescharacteristic
968#556—151no—
969#555—151no—
970#554—151no—
971#553—151no—
972#553—151no—
973#552—51no—
974#552—151no—
975#552—151no—
976#552—151no—
977#551—31no—
978#551—151no—
979#551—151no—
980#551—151no—
981#547—151no—
982#546—151no—
983#546—151no—
984#533—151no—
985#529—151no—
986#529—151no—
987#529—151no—
988#529—151no—
989#529—151no—
990#529—151no—
991#525—151no—
992#525—151no—
993C4×#41—151no—
994C4×#41—151no—
995C4×#41—151no—
996C2×C4×D4—151no—
997C2×#117—151no—
998C2×#117—151no—
999C22×C3×C5—21no—
1000C22×C3×C5—21no—
1001C22×C3×C5C2×#4112yes—
1002C22×C3×C5C2511yescharacteristic
1003C2×D15—21no—
1004C2×D15—21no—
1005C2×D15—21no—
1006C2×D15—21no—
1007C2×D15—21no—
1008C2×D15C2×#4112yes—
1009C2×C5×D3—21no—
1010C2×C5×D3—21no—
1011C2×C5×D3—21no—
1012C2×C5×D3—21no—
1013C2×C5×D3—21no—
1014C2×C5×D3—21no—
1015C2×C5×D3—21no—
1016C2×C5×D3—21no—
1017C2×C5×D3—44no—
1018C2×C5×D3C2×#4112yes—
1019C2×C3×D5—21no—
1020C2×C3×D5—21no—
1021C2×C3×D5—21no—
1022D3×D5—44no—
1023C3×C4×C5—21no—
1024C3×C4×C5—21no—
1025C3×C4×C5—21no—
1026C3×C4×C5—21no—
1027C3×C4×C5—21no—
1028C3×C4×C5—21no—
1029Dic15—21no—
1030Dic15—21no—
1031Dic15—21no—
1032Dic15—21no—
1033Dic15C2×#4112yes—
1034Dic15C2×#4112yes—
1035C3×Dic5—21no—
1036C3×Dic5—21no—
1037C3×Dic5—21no—
1038C3×Dic5—21no—
1039C3×Dic5—21no—
1040C3×Dic5—21no—
1041C3×Dic5C2×#4112yes—
1042C5×Dic3—21no—
1043C5×Dic3—21no—
1044C5×Dic3—21no—
1045C5×Dic3—21no—
1046C5×Dic3—21no—
1047C23×D3—51no—
1048C23×D3C22×D511yescharacteristic
1049C2×C3×Q8—51no—
1050C2×C3×D4—51no—
1051C22×C3×C4—51no—
1052C22×C3×C4—51no—
1053C22×C3×C4—51no—
1054C22×C3×C4C22×D511yescharacteristic
1055C2×#67—51no—
1056C2×#67—51no—
1057C2×#67—51no—
1058C2×#67—51no—
1059C2×#67—51no—
1060C2×#67C22×D511yescharacteristic
1061C22×Dic3—51no—
1062C22×Dic3—51no—
1063C22×Dic3—51no—
1064C22×Dic3C22×D511yescharacteristic
1065#239—104no—
1066D3×D4—104no—
1067#235—104no—
1068#235—104no—
1069C2×D12—51no—
1070C2×D12—51no—
1071C2×D12—51no—
1072C2×D12—51no—
1073C2×D12—51no—
1074C2×D12—51no—
1075C2×D12C22×D511yescharacteristic
1076C2×D12C22×D511yescharacteristic
1077C2×C4×D3—51no—
1078C2×C4×D3—51no—
1079C2×C4×D3—51no—
1080C2×C4×D3—51no—
1081C2×C4×D3—51no—
1082C2×C4×D3—51no—
1083C2×C4×D3—51no—
1084C2×C4×D3—51no—
1085C2×C4×D3—51no—
1086C2×C4×D3—51no—
1087C2×C4×D3—51no—
1088C2×C4×D3—51no—
1089C2×C4×D3—51no—
1090C2×C4×D3—51no—
1091C2×C4×D3—51no—
1092C2×C4×D3—51no—
1093C2×C4×D3—104no—
1094C2×C4×D3—104no—
1095C2×C4×D3C22×D511yescharacteristic
1096C2×C4×D3C22×D511yescharacteristic
1097C2×C4×D3C22×D511yescharacteristic
1098C2×Dic6—51no—
1099C2×Dic6—51no—
1100C2×Dic6—51no—
1101C2×Dic6C22×D511yescharacteristic
1102C3×C4⋊C4—51no—
1103C3×C4⋊C4—51no—
1104C3×C4⋊C4—51no—
1105C3×C4⋊C4—51no—
1106C3×C4⋊C4—51no—
1107C3×C4⋊C4—51no—
1108C3×C4⋊C4—51no—
1109C3×C4⋊C4—51no—
1110C3×C4⋊C4—51no—
1111C3×C4⋊C4—51no—
1112C3×C4⋊C4—51no—
1113C3×C4⋊C4—51no—
1114C3×C4⋊C4—51no—
1115C3×C4⋊C4—51no—
1116C3×C4⋊C4C22×D511yescharacteristic
1117C3×C4⋊C4C22×D511yescharacteristic
1118C3×C22⋊C4—51no—
1119C3×C22⋊C4—51no—
1120C3×C22⋊C4—51no—
1121C3×C22⋊C4—51no—
1122C3×C22⋊C4—51no—
1123C3×C22⋊C4—51no—
1124C3×C22⋊C4C22×D511yescharacteristic
1125C3×C22⋊C4C22×D511yescharacteristic
1126C3×C42—51no—
1127C3×C42—51no—
1128C3×C42—51no—
1129C3×C42C22×D511yescharacteristic
1130C3×C42C22×D511yescharacteristic
1131#217—51no—
1132#217—51no—
1133#217—51no—
1134#217C22×D511yescharacteristic
1135(C2×D3)⋊C4—51no—
1136(C2×D3)⋊C4—51no—
1137(C2×D3)⋊C4—51no—
1138(C2×D3)⋊C4—51no—
1139(C2×D3)⋊C4—51no—
1140(C2×D3)⋊C4—51no—
1141(C2×D3)⋊C4—51no—
1142(C2×D3)⋊C4—51no—
1143(C2×D3)⋊C4—51no—
1144(C2×D3)⋊C4—51no—
1145(C2×D3)⋊C4—51no—
1146(C2×D3)⋊C4—51no—
1147(C2×D3)⋊C4—51no—
1148(C2×D3)⋊C4—51no—
1149(C2×D3)⋊C4—51no—
1150(C2×D3)⋊C4—51no—
1151(C2×D3)⋊C4—51no—
1152(C2×D3)⋊C4—51no—
1153(C2×D3)⋊C4—51no—
1154(C2×D3)⋊C4C22×D511yescharacteristic
1155(C2×D3)⋊C4C22×D511yescharacteristic
1156(C2×D3)⋊C4C22×D511yescharacteristic
1157(C2×D3)⋊C4C22×D511yescharacteristic
1158(C2×D3)⋊C4C22×D511yescharacteristic
1159(C2×D3)⋊C4C22×D511yescharacteristic
1160(C2×D3)⋊C4C22×D511yescharacteristic
1161(C2×D3)⋊C4C22×D511yescharacteristic
1162(C2×D3)⋊C4C22×D511yescharacteristic
1163(C2×D3)⋊C4C22×D511yescharacteristic
1164(C2×D3)⋊C4C22×D511yescharacteristic
1165C4⋊Dic3—51no—
1166C4⋊Dic3—51no—
1167C4⋊Dic3—51no—
1168C4⋊Dic3—51no—
1169C4⋊Dic3—51no—
1170C4⋊Dic3—51no—
1171C4⋊Dic3—51no—
1172C4⋊Dic3C22×D511yescharacteristic
1173Dic3⋊C4—51no—
1174Dic3⋊C4—51no—
1175Dic3⋊C4—51no—
1176Dic3⋊C4—51no—
1177Dic3⋊C4—51no—
1178Dic3⋊C4—51no—
1179Dic3⋊C4—51no—
1180Dic3⋊C4—51no—
1181Dic3⋊C4—51no—
1182Dic3⋊C4—51no—
1183Dic3⋊C4—51no—
1184Dic3⋊C4—51no—
1185Dic3⋊C4—51no—
1186Dic3⋊C4C22×D511yescharacteristic
1187Dic3⋊C4C22×D511yescharacteristic
1188Dic3⋊C4C22×D511yescharacteristic
1189Dic3⋊C4C22×D511yescharacteristic
1190Dic3⋊C4C22×D511yescharacteristic
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—
1200C4×Dic3—51no—
1201C4×Dic3—51no—
1202C4×Dic3—51no—
1203C4×Dic3—51no—
1204C4×Dic3—51no—
1205C4×Dic3—51no—
1206C4×Dic3—51no—
1207C4×Dic3C22×D511yescharacteristic
1208C23×C5—31no—
1209C23×C5—31no—
1210C23×C5—31no—
1211C23×C5—62no—
1212C23×C5—62no—
1213C23×C5—121no—
1214C23×C5C23×D311yescharacteristic
1215C22×D5—31no—
1216C22×D5—31no—
1217C22×D5—62no—
1218C22×D5—62no—
1219C22×D5—121no—
1220C22×D5C23×D311yescharacteristic
1221C5×Q8—121no—
1222C5×D4—62no—
1223C5×D4—62no—
1224C5×D4—121no—
1225C2×C4×C5—22no—
1226C2×C4×C5—31no—
1227C2×C4×C5—31no—
1228C2×C4×C5—31no—
1229C2×C4×C5—31no—
1230C2×C4×C5—31no—
1231C2×C4×C5—62no—
1232C2×C4×C5—121no—
1233C2×C4×C5—121no—
1234C2×C4×C5—121no—
1235C2×C4×C5C23×D311yescharacteristic
1236C2×C4×C5C23×D311yescharacteristic
1237C2×C4×C5C23×D311yescharacteristic
1238C2×C4×C5C23×D311yescharacteristic
1239C2×C4×C5C23×D311yescharacteristic
1240C2×C4×C5C23×D311yescharacteristic
1241C22⋊D5—22no—
1242C22⋊D5—34no—
1243C22⋊D5—62no—
1244C22⋊D5—62no—
1245C22⋊D5—62no—
1246C22⋊D5—62no—
1247C22⋊D5—62no—
1248C22⋊D5—62no—
1249C22⋊D5—121no—
1250C22⋊D5—121no—
1251C2×Dic5—22no—
1252C2×Dic5—22no—
1253C2×Dic5—31no—
1254C2×Dic5—31no—
1255C2×Dic5—34no—
1256C2×Dic5—31no—
1257C2×Dic5—31no—
1258C2×Dic5—31no—
1259C2×Dic5—31no—
1260C2×Dic5—62no—
1261C2×Dic5—62no—
1262C2×Dic5—62no—
1263C2×Dic5—62no—
1264C2×Dic5—62no—
1265C2×Dic5—62no—
1266C2×Dic5—62no—
1267C2×Dic5—121no—
1268C2×Dic5C23×D311yescharacteristic
1269C2×Dic5C23×D311yescharacteristic
1270C2×Dic5C23×D311yescharacteristic
1271C2×Dic5C23×D311yescharacteristic
1272C2×Dic5C23×D311yescharacteristic
1273C2×Dic5C23×D311yescharacteristic
1274C2×Dic5C23×D311yescharacteristic
1275D20—62no—
1276D20—121no—
1277C4×D5—22no—
1278C4×D5—62no—
1279C4×D5—62no—
1280C4×D5—62no—
1281C4×D5—62no—
1282C4×D5—62no—
1283C4×D5—62no—
1284C4×D5—62no—
1285C4×D5—121no—
1286C4×D5—121no—
1287C4×D5—121no—
1288Dic10—22no—
1289Dic10—62no—
1290Dic10—62no—
1291Dic10—121no—
1292C2×#41—151no—
1293C2×#41—151no—
1294C2×#41—151no—
1295C22×D4—151no—
1296C23×C4—151no—
1297C23×C4—151no—
1298C4⋊Q8—151no—
1299C4⋊Q8—151no—
1300#126—31no—
1301#126—31no—
1302#126—51no—
1303#126—51no—
1304#126—151no—
1305#126—151no—
1306#126—151no—
1307#126—151no—
1308#126—151no—
1309#126—151no—
1310#126—151no—
1311#126—151no—
1312#125—51no—
1313#125—51no—
1314#125—51no—
1315#125—151no—
1316#125—151no—
1317#125—151no—
1318#125—151no—
1319#125—151no—
1320#124—31no—
1321#124—151no—
1322#124—151no—
1323#124—151no—
1324#124—151no—
1325#124—151no—
1326#123—31no—
1327#123—31no—
1328#123—31no—
1329#123—51no—
1330#123—51no—
1331#123—151no—
1332#123—151no—
1333#123—151no—
1334#123—151no—
1335#123—151no—
1336#123—151no—
1337#123—151no—
1338#123—151no—
1339#123—151no—
1340#123—151no—
1341#123—151no—
1342C22⋊Q8—31no—
1343C22⋊Q8—31no—
1344C22⋊Q8—51no—
1345C22⋊Q8—51no—
1346C22⋊Q8—151no—
1347C22⋊Q8—151no—
1348C22⋊Q8—151no—
1349C22⋊Q8—151no—
1350C22⋊Q8—151no—
1351C22⋊Q8—151no—
1352C22⋊Q8—151no—
1353C22⋊Q8—151no—
1354C22⋊Q8—151no—
1355C22⋊Q8—151no—
1356#121—151no—
1357#121—151no—
1358#121—151no—
1359#121—151no—
1360#121—151no—
1361#121—151no—
1362#121—151no—
1363#121—151no—
1364#121—151no—
1365#121—151no—
1366#120—31no—
1367#120—151no—
1368#120—151no—
1369#120—151no—
1370C4×Q8—51no—
1371C4×Q8—151no—
1372C4×Q8—151no—
1373C4×Q8—151no—
1374C4×Q8—151no—
1375C4×Q8—151no—
1376C4×Q8—151no—
1377C4×Q8—151no—
1378C4×D4—31no—
1379C4×D4—31no—
1380C4×D4—51no—
1381C4×D4—151no—
1382C4×D4—151no—
1383C4×D4—151no—
1384C4×D4—151no—
1385C4×D4—151no—
1386C4×D4—151no—
1387C4×D4—151no—
1388C4×D4—151no—
1389C4×D4—151no—
1390C4×D4—151no—
1391C4×D4—151no—
1392C4×D4—151no—
1393C4×D4—151no—
1394C4×D4—151no—
1395C4×D4—151no—
1396C4×D4—151no—
1397C4×D4—151no—
1398C4×D4—151no—
1399C4×D4—151no—
1400C4×D4—151no—
1401C4×D4—151no—
1402C4×D4—151no—
1403C4×D4—151no—
1404C4×D4—151no—
1405C4×D4—151no—
1406#117—31no—
1407#117—51no—
1408#117—51no—
1409#117—151no—
1410#117—151no—
1411#117—151no—
1412#117—151no—
1413#117—151no—
1414#117—151no—
1415#117—151no—
1416#117—151no—
1417#117—151no—
1418#117—151no—
1419#117—151no—
1420#117—151no—
1421#117—151no—
1422#117—151no—
1423#117—151no—
1424#117—151no—
1425#117—151no—
1426#117—151no—
1427#117—151no—
1428#117D3×D511yescharacteristic, complemented
1429C2×C4⋊C4—51no—
1430C2×C4⋊C4—151no—
1431C2×C4⋊C4—151no—
1432C2×C4⋊C4—151no—
1433C2×C4⋊C4—151no—
1434C2×C22⋊C4—31no—
1435C2×C22⋊C4—31no—
1436C2×C22⋊C4—151no—
1437C2×C22⋊C4—151no—
1438C2×C22⋊C4—151no—
1439C2×C22⋊C4—151no—
1440C2×C42—151no—
1441C2×C42—151no—
1442C2×C42—151no—
1443C2×C42—151no—
1444C2×C42—151no—
1445C2×C42—151no—
1446C2×C42—151no—
1447C2×C3×C5—22no—
1448C2×C3×C5C22×#4111yescharacteristic
1449C2×C3×C5C22×#4111yescharacteristic
1450C2×C3×C5#58511yescharacteristic
1451D15—22no—
1452D15—41no—
1453C3×D5—41no—
1454C5×D3—22no—
1455C5×D3—41no—
1456C5×D3—41no—
1457C23×C3—51no—
1458C23×C3C23×D511yescharacteristic
1459C22×D3—22no—
1460C22×D3—22no—
1461C22×D3—41no—
1462C22×D3—51no—
1463C22×D3—51no—
1464C22×D3—102no—
1465C22×D3—102no—
1466C22×D3—201no—
1467C22×D3C23×D511yescharacteristic
1468C22×D3C23×D511yescharacteristic
1469C22×D3C23×D511yescharacteristic
1470C3×Q8—102no—
1471C3×D4—102no—
1472C2×C3×C4—22no—
1473C2×C3×C4—51no—
1474C2×C3×C4—51no—
1475C2×C3×C4—51no—
1476C2×C3×C4—51no—
1477C2×C3×C4—51no—
1478C2×C3×C4—51no—
1479C2×C3×C4—51no—
1480C2×C3×C4—102no—
1481C2×C3×C4—102no—
1482C2×C3×C4—102no—
1483C2×C3×C4C23×D511yescharacteristic
1484C2×C3×C4C23×D511yescharacteristic
1485C2×C3×C4C23×D511yescharacteristic
1486C2×C3×C4C23×D511yescharacteristic
1487C2×C3×C4C23×D511yescharacteristic
1488C2×C3×C4C23×D511yescharacteristic
1489#67—22no—
1490#67—54no—
1491#67—102no—
1492#67—102no—
1493#67—201no—
1494#67—201no—
1495C2×Dic3—41no—
1496C2×Dic3—51no—
1497C2×Dic3—51no—
1498C2×Dic3—51no—
1499C2×Dic3—51no—
1500C2×Dic3—51no—
1501C2×Dic3—51no—
1502C2×Dic3—102no—
1503C2×Dic3—102no—
1504C2×Dic3—201no—
1505C2×Dic3C23×D511yescharacteristic
1506C2×Dic3C23×D511yescharacteristic
1507C2×Dic3C23×D511yescharacteristic
1508C2×Dic3C23×D511yescharacteristic
1509C2×Dic3C23×D511yescharacteristic
1510D12—22no—
1511D12—41no—
1512D12—102no—
1513D12—102no—
1514D12—102no—
1515D12—102no—
1516D12—102no—
1517D12—201no—
1518C4×D3—22no—
1519C4×D3—41no—
1520C4×D3—41no—
1521C4×D3—54no—
1522C4×D3—102no—
1523C4×D3—102no—
1524C4×D3—102no—
1525C4×D3—102no—
1526C4×D3—102no—
1527C4×D3—102no—
1528C4×D3—102no—
1529C4×D3—102no—
1530C4×D3—102no—
1531C4×D3—102no—
1532C4×D3—102no—
1533C4×D3—102no—
1534C4×D3—201no—
1535C4×D3—201no—
1536C4×D3—201no—
1537Dic6—41no—
1538Dic6—102no—
1539Dic6—102no—
1540Dic6—201no—
1541C22×C5—21no—
1542C22×C5—21no—
1543C22×C5—32no—
1544C22×C5—61no—
1545C22×C5—61no—
1546C22×C5—61no—
1547C22×C5—61no—
1548C22×C5—61no—
1549C22×C5—61no—
1550C22×C5—61no—
1551C22×C5—61no—
1552C22×C5—124no—
1553C22×C5D3×#4112yes—
1554C22×C5C24×D311yescharacteristic
1555C2×D5—21no—
1556C2×D5—21no—
1557C2×D5—21no—
1558C2×D5—32no—
1559C2×D5—61no—
1560C2×D5—61no—
1561C2×D5—61no—
1562C2×D5—61no—
1563C2×D5—61no—
1564C2×D5—124no—
1565C4×C5—21no—
1566C4×C5—21no—
1567C4×C5—21no—
1568C4×C5—21no—
1569C4×C5—21no—
1570C4×C5—21no—
1571C4×C5—61no—
1572C4×C5—61no—
1573C4×C5—61no—
1574C4×C5—61no—
1575C4×C5—61no—
1576Dic5—21no—
1577Dic5—21no—
1578Dic5—21no—
1579Dic5—21no—
1580Dic5—21no—
1581Dic5—21no—
1582Dic5—32no—
1583Dic5—32no—
1584Dic5—61no—
1585Dic5—61no—
1586Dic5—61no—
1587Dic5—61no—
1588Dic5D3×#4112yes—
1589C24—31no—
1590C24—151no—
1591#41—304no—
1592#41—304no—
1593#41—304no—
1594C2×Q8—31no—
1595C2×Q8—51no—
1596C2×Q8—151no—
1597C2×Q8—151no—
1598C2×Q8—151no—
1599C2×D4—31no—
1600C2×D4—31no—
1601C2×D4—31no—
1602C2×D4—51no—
1603C2×D4—151no—
1604C2×D4—151no—
1605C2×D4—151no—
1606C2×D4—151no—
1607C2×D4—151no—
1608C2×D4—151no—
1609C2×D4—151no—
1610C2×D4—151no—
1611C2×D4—151no—
1612C2×D4—151no—
1613C2×D4—151no—
1614C2×D4—304no—
1615C22×C4—31no—
1616C22×C4—31no—
1617C22×C4—31no—
1618C22×C4—31no—
1619C22×C4—51no—
1620C22×C4—51no—
1621C22×C4—51no—
1622C22×C4—151no—
1623C22×C4—151no—
1624C22×C4—151no—
1625C22×C4—151no—
1626C22×C4—151no—
1627C22×C4—151no—
1628C22×C4—151no—
1629C22×C4—151no—
1630C22×C4—151no—
1631C22×C4—151no—
1632C22×C4—151no—
1633C22×C4—151no—
1634C22×C4—151no—
1635C22×C4—151no—
1636C22×C4—151no—
1637C22×C4—151no—
1638C22×C4—151no—
1639C22×C4—151no—
1640C22×C4—151no—
1641C22×C4—304no—
1642C22×C4—304no—
1643C22×C4C2×D3×D511yescharacteristic
1644C4⋊C4—31no—
1645C4⋊C4—31no—
1646C4⋊C4—31no—
1647C4⋊C4—31no—
1648C4⋊C4—31no—
1649C4⋊C4—31no—
1650C4⋊C4—51no—
1651C4⋊C4—51no—
1652C4⋊C4—51no—
1653C4⋊C4—51no—
1654C4⋊C4—51no—
1655C4⋊C4—51no—
1656C4⋊C4—51no—
1657C4⋊C4—51no—
1658C4⋊C4—51no—
1659C4⋊C4—51no—
1660C4⋊C4—51no—
1661C4⋊C4—51no—
1662C4⋊C4—51no—
1663C4⋊C4—51no—
1664C4⋊C4—151no—
1665C4⋊C4—151no—
1666C4⋊C4—151no—
1667C4⋊C4—151no—
1668C4⋊C4—151no—
1669C4⋊C4—151no—
1670C4⋊C4—151no—
1671C4⋊C4—151no—
1672C4⋊C4—151no—
1673C4⋊C4—151no—
1674C4⋊C4—151no—
1675C4⋊C4—151no—
1676C4⋊C4—151no—
1677C4⋊C4—151no—
1678C4⋊C4—151no—
1679C4⋊C4—151no—
1680C4⋊C4—151no—
1681C4⋊C4—151no—
1682C4⋊C4—151no—
1683C4⋊C4—151no—
1684C4⋊C4C2×D3×D511yescharacteristic
1685C4⋊C4C2×D3×D511yescharacteristic
1686C22⋊C4—31no—
1687C22⋊C4—31no—
1688C22⋊C4—31no—
1689C22⋊C4—31no—
1690C22⋊C4—31no—
1691C22⋊C4—31no—
1692C22⋊C4—31no—
1693C22⋊C4—31no—
1694C22⋊C4—31no—
1695C22⋊C4—31no—
1696C22⋊C4—31no—
1697C22⋊C4—31no—
1698C22⋊C4—51no—
1699C22⋊C4—51no—
1700C22⋊C4—51no—
1701C22⋊C4—51no—
1702C22⋊C4—51no—
1703C22⋊C4—51no—
1704C22⋊C4—151no—
1705C22⋊C4—151no—
1706C22⋊C4—151no—
1707C22⋊C4—151no—
1708C22⋊C4—151no—
1709C22⋊C4—151no—
1710C22⋊C4—151no—
1711C22⋊C4—151no—
1712C22⋊C4—151no—
1713C22⋊C4—151no—
1714C22⋊C4—151no—
1715C22⋊C4—151no—
1716C22⋊C4—151no—
1717C22⋊C4—151no—
1718C22⋊C4—151no—
1719C22⋊C4—151no—
1720C22⋊C4—151no—
1721C22⋊C4—151no—
1722C22⋊C4—151no—
1723C22⋊C4—151no—
1724C22⋊C4—151no—
1725C22⋊C4—151no—
1726C22⋊C4C2×D3×D511yescharacteristic
1727C22⋊C4C2×D3×D511yescharacteristic
1728C42—31no—
1729C42—51no—
1730C42—51no—
1731C42—51no—
1732C42—151no—
1733C42—151no—
1734C42—151no—
1735C42—151no—
1736C42—151no—
1737C42—151no—
1738C42—151no—
1739C42—151no—
1740C42—151no—
1741C42—151no—
1742C42—151no—
1743C42—151no—
1744C42—151no—
1745C42—151no—
1746C42—151no—
1747C42—151no—
1748C42C2×D3×D511yescharacteristic
1749C42C2×D3×D511yescharacteristic
1750C3×C5#347511yescharacteristic, complemented, Hall
1751C22×C3—21no—
1752C22×C3—21no—
1753C22×C3—101no—
1754C22×C3—101no—
1755C22×C3—101no—
1756C22×C3D5×#4112yes—
1757C22×C3C24×D511yescharacteristic
1758C2×D3—21no—
1759C2×D3—21no—
1760C2×D3—21no—
1761C2×D3—21no—
1762C2×D3—21no—
1763C2×D3—21no—
1764C2×D3—21no—
1765C2×D3—21no—
1766C2×D3—44no—
1767C2×D3—52no—
1768C2×D3—101no—
1769C2×D3—101no—
1770C2×D3—101no—
1771C2×D3—101no—
1772C2×D3—101no—
1773C2×D3—204no—
1774C2×D3D5×#4112yes—
1775C3×C4—21no—
1776C3×C4—21no—
1777C3×C4—21no—
1778C3×C4—21no—
1779C3×C4—21no—
1780C3×C4—21no—
1781C3×C4—52no—
1782C3×C4—101no—
1783C3×C4—101no—
1784C3×C4—101no—
1785C3×C4—101no—
1786C3×C4—101no—
1787C3×C4—101no—
1788Dic3—21no—
1789Dic3—21no—
1790Dic3—21no—
1791Dic3—21no—
1792Dic3—21no—
1793Dic3—52no—
1794Dic3—52no—
1795Dic3—101no—
1796Dic3—101no—
1797Dic3—101no—
1798Dic3—101no—
1799C2×C5—22no—
1800C2×C5—62no—
1801C2×C5—121no—
1802C2×C5—121no—
1803C2×C5C2×D3×#4111yescharacteristic
1804C2×C5C2×D3×#4111yescharacteristic
1805C2×C5#596811yescharacteristic
1806D5—41no—
1807D5—62no—
1808D5—121no—
1809C23—31no—
1810C23—31no—
1811C23—31no—
1812C23—51no—
1813C23—62no—
1814C23—62no—
1815C23—121no—
1816C23—151no—
1817C23—151no—
1818C23—302no—
1819C23—302no—
1820C23—601no—
1821C23C22×D3×D511yescharacteristic
1822Q8—102no—
1823Q8—121no—
1824Q8—302no—
1825Q8—302no—
1826Q8—601no—
1827D4—62no—
1828D4—62no—
1829D4—102no—
1830D4—121no—
1831D4—154no—
1832D4—302no—
1833D4—302no—
1834D4—302no—
1835D4—302no—
1836D4—302no—
1837D4—302no—
1838D4—302no—
1839D4—601no—
1840D4—601no—
1841D4—601no—
1842C2×C4—22no—
1843C2×C4—31no—
1844C2×C4—31no—
1845C2×C4—31no—
1846C2×C4—31no—
1847C2×C4—31no—
1848C2×C4—51no—
1849C2×C4—51no—
1850C2×C4—51no—
1851C2×C4—51no—
1852C2×C4—51no—
1853C2×C4—51no—
1854C2×C4—51no—
1855C2×C4—62no—
1856C2×C4—102no—
1857C2×C4—102no—
1858C2×C4—102no—
1859C2×C4—121no—
1860C2×C4—121no—
1861C2×C4—121no—
1862C2×C4—154no—
1863C2×C4—151no—
1864C2×C4—151no—
1865C2×C4—151no—
1866C2×C4—151no—
1867C2×C4—151no—
1868C2×C4—151no—
1869C2×C4—302no—
1870C2×C4—302no—
1871C2×C4—302no—
1872C2×C4—302no—
1873C2×C4—302no—
1874C2×C4—302no—
1875C2×C4—302no—
1876C2×C4—302no—
1877C2×C4—302no—
1878C2×C4—302no—
1879C2×C4—302no—
1880C2×C4—302no—
1881C2×C4—302no—
1882C2×C4—302no—
1883C2×C4—601no—
1884C2×C4—601no—
1885C2×C4—601no—
1886C2×C4—601no—
1887C2×C4C22×D3×D511yescharacteristic
1888C2×C4C22×D3×D511yescharacteristic
1889C2×C4C22×D3×D511yescharacteristic
1890C2×C4C22×D3×D511yescharacteristic
1891C2×C4C22×D3×D511yescharacteristic
1892C2×C4C22×D3×D511yescharacteristic
1893C2×C3—22no—
1894C2×C3—201no—
1895C2×C3C2×D5×#4111yescharacteristic
1896C2×C3C2×D5×#4111yescharacteristic
1897C2×C3#6628511yescharacteristic
1898D3—22no—
1899D3—41no—
1900D3—41no—
1901D3—102no—
1902D3—201no—
1903C5#8682711yescharacteristic, complemented, Sylow
1904C22—21no—
1905C22—21no—
1906C22—32no—
1907C22—61no—
1908C22—61no—
1909C22—61no—
1910C22—61no—
1911C22—61no—
1912C22—61no—
1913C22—61no—
1914C22—61no—
1915C22—101no—
1916C22—101no—
1917C22—101no—
1918C22—124no—
1919C22—152no—
1920C22—301no—
1921C22—301no—
1922C22—301no—
1923C22—301no—
1924C22—301no—
1925C22—604no—
1926C22#9201612yes—
1927C22C23×D3×D511yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—21no—
1931C4—21no—
1932C4—21no—
1933C4—21no—
1934C4—52no—
1935C4—61no—
1936C4—61no—
1937C4—61no—
1938C4—61no—
1939C4—61no—
1940C4—101no—
1941C4—101no—
1942C4—101no—
1943C4—101no—
1944C4—101no—
1945C4—101no—
1946C4—152no—
1947C4—152no—
1948C4—301no—
1949C4—301no—
1950C4—301no—
1951C4—301no—
1952C3#1061869111yescharacteristic, complemented, Sylow
1953C2—22no—
1954C2—62no—
1955C2—121no—
1956C2—121no—
1957C2—201no—
1958C2—302no—
1959C2—601no—
1960C2C2×#9201611yescharacteristic
1961C2D3×D5×#4111yescharacteristic
1962C2#1175706411yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#117C22
hypercenter#117D3×D5
hypocenterC3×C5#3475
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
1. #11756281C2semidirect
2. C5×#5527C2semidirect
3. C3×#65865C2semidirect
4. #11754666C2semidirect
5. #11754449C2semidirect
6. #11754376C2semidirect
7. C2×#91400C2semidirect
8. #11753930C2semidirect
9. #11753864C2semidirect
10. #11753766C2semidirect
11. #11753735C2semidirect
12. #11753581C2semidirect
13. #11753550C2semidirect
14. #11753546C2semidirect
15. #11753460C2semidirect
16. #11753273C2semidirect
17. D3×#4027C2semidirect
18. #11753110C2semidirect
19. #11752988C2semidirect
20. #11752952C2semidirect
21. #11752842C2semidirect
22. #11752823C2semidirect
23. #11752804C2semidirect
24. #11752768C2semidirect
25. #11752723C2semidirect
26. #11752702C2semidirect
27. #11752688C2semidirect
28. #11752628C2semidirect
29. #11752612C2semidirect
30. #11752586C2semidirect
31. C4×#6768C2semidirect
39. C3×C5×#117C22semidirect
40. C2×C4×Dic15C22semidirect
41. #91782C22semidirect
42. #91782C22semidirect
43. #91776C22semidirect
44. #91776C22semidirect
47. #91770C22semidirect
48. #91770C22semidirect
49. #91761C22semidirect
50. #91761C22semidirect
51. C42×D15C22semidirect
52. C42×D15C22semidirect
53. C5×#929C22semidirect
55. C5×#898C22semidirect
58. C5×#894C22semidirect
60. C5×#67⋊C4C22semidirect
62. C5×#878C22semidirect
63. C5×#876C22semidirect
64. C5×#875C22semidirect
68. C2×C3×#683C22semidirect
69. C3×#4044C22semidirect
70. C3×#4042C22semidirect
71. C3×#4035C22semidirect
72. C3×#4035C22semidirect
75. C3×#4024C22semidirect
76. C3×#4023C22semidirect
77. C3×#4022C22semidirect
78. C3×#4018C22semidirect
79. C3×#4016C22semidirect
80. C3×C4×Dic10C22semidirect
81. #91576C22semidirect
85. #91566C22semidirect
86. #67⋊Dic5C22semidirect
90. #91546C22semidirect
91. C2×#6668C22semidirect
93. C2×Dic3×Dic5C22semidirect
101. #91464C22semidirect
104. #91455C22semidirect
106. #91452C22semidirect
107. #91448C22semidirect
108. #91446C22semidirect
110. C4×#1203C22semidirect
112. #91442C22semidirect
117. #91435C22semidirect
118. #91433C22semidirect
120. #91432C22semidirect
124. #91420C22semidirect
125. #91419C22semidirect
126. #91416C22semidirect
127. #91411C22semidirect
128. #91410C22semidirect
131. #91406C22semidirect
132. #91406C22semidirect
133. #91406C22semidirect
135. #91404C22semidirect
136. #91404C22semidirect
137. #91402C22semidirect
138. C4×#1200C22semidirect
144. #91400C22semidirect
145. #91400C22semidirect
146. #91400C22semidirect
147. #91400C22semidirect
148. #91400C22semidirect
150. #91398C22semidirect
152. C4×D3×Dic5C22semidirect
153. #91396C22semidirect
154. #91394C22semidirect
155. #91394C22semidirect
156. #91383C22semidirect
157. #91382C22semidirect
158. #91382C22semidirect
159. #91380C22semidirect
160. #91378C22semidirect
161. #91377C22semidirect
162. #91372C22semidirect
164. #91367C22semidirect
165. #91367C22semidirect
166. #91367C22semidirect
167. #91366C22semidirect
168. #91361C22semidirect
169. #91357C22semidirect
171. #91355C22semidirect
172. #91355C22semidirect
173. #91354C22semidirect
176. #91350C22semidirect
177. #91347C22semidirect
178. #91346C22semidirect
179. #91345C22semidirect
180. #91344C22semidirect
181. #91339C22semidirect
182. #91331C22semidirect
183. #91329C22semidirect
184. #91328C22semidirect
185. #91325C22semidirect
186. #91325C22semidirect
187. #91324C22semidirect
213. #65865D3semidirect
406. #5527D5semidirect
430. C5×#117C2×D3semidirect
462. C2×#683C2×D3semidirect
470. #4044C2×D3semidirect
474. #4042C2×D3semidirect
491. #4035C2×D3semidirect
492. #4035C2×D3semidirect
542. #4024C2×D3semidirect
554. #4023C2×D3semidirect
556. #4022C2×D3semidirect
560. #4018C2×D3semidirect
564. #4016C2×D3semidirect
566. C4×Dic10C2×D3semidirect
589. #1220#41semidirect
650. D3×Dic5#41semidirect
671. C3×#117C2×D5semidirect
682. #929C2×D5semidirect
696. #898C2×D5semidirect
718. #894C2×D5semidirect
776. #67⋊C4C2×D5semidirect
784. #878C2×D5semidirect
788. #876C2×D5semidirect
790. #875C2×D5semidirect
1428. #117D3×D5semidirect
1750. C3×C5#3475semidirect
1903. C5#86827semidirect
1952. C3#10618691semidirect

Maximal subgroups

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

subgroupindex
#117562812
C5×#55272
C3×#658652
#117546662
#117544492
#117543762
C2×#914002
#117539302
#117538642
#117537662
#117537352
#117535812
#117535502
#117535462
#117534602
#117532732
D3×#40272
#117531102
#117529882
#117529522
#117528422
#117528232
#117528042
#117527682
#117527232
#117527022
#117526882
#117526282
#117526122
#117525862
C4×#67682
#106186913
#868275