Finite Group Databasebeta

← #14484160

Subgroups — #14484160

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#11756408C211yesmaximal, characteristic, complemented
2C5×#5654C211yesmaximal, characteristic, complemented
3C3×#65984C211yesmaximal, characteristic, complemented
4#11754859C211yesmaximal, characteristic, complemented
5#11754809C211yesmaximal, characteristic, complemented
6D3×D4×Dic5C211yesmaximal, characteristic, complemented
7#11754735C211yesmaximal, characteristic, complemented
8#11754455C211yesmaximal, characteristic, complemented
9#11754431C211yesmaximal, characteristic, complemented
10#11754346C211yesmaximal, characteristic, complemented
11C2×#91400C211yesmaximal, characteristic, complemented
12#11753584C211yesmaximal, characteristic, complemented
13#11753578C211yesmaximal, characteristic, complemented
14#11753566C211yesmaximal, characteristic, complemented
15#11753543C211yesmaximal, characteristic, complemented
16#11753536C211yesmaximal, characteristic, complemented
17#11753493C211yesmaximal, characteristic, complemented
18#11753460C211yesmaximal, characteristic, complemented
19#11753406C211yesmaximal, characteristic, complemented
20#11752996C211yesmaximal, characteristic, complemented
21#11752990C211yesmaximal, characteristic, complemented
22#11752989C211yesmaximal, characteristic, complemented
23#11752973C211yesmaximal, characteristic, complemented
24#11752943C211yesmaximal, characteristic, complemented
25#11752942C211yesmaximal, characteristic, complemented
26#11752902C211yesmaximal, characteristic, complemented
27#11752842C211yesmaximal, characteristic, complemented
28#11752842C211yesmaximal, characteristic, complemented
29#11752823C211yesmaximal, characteristic, complemented
30D3×#4023C211yesmaximal, characteristic, complemented
31#11752803C211yesmaximal, characteristic, complemented
32#10618528—31nomaximal, Hall
33C2×C5×D3×D4C2211yescharacteristic
34C2×C5×#235C2211yescharacteristic
35C2×#6782C2211yescharacteristic
36C22×D3×Dic5C2211yescharacteristic
37C22×D3×Dic5C2211yescharacteristic
38C2×#6768C2211yescharacteristic
39C3×C5×#123C2211yescharacteristic
40#91828C2211yescharacteristic
41D4×Dic15C2211yescharacteristic
42#91818C2211yescharacteristic, complemented
43C2×C4×Dic15C2211yescharacteristic, complemented
44#91787C2211yescharacteristic, complemented
45#91781C2211yescharacteristic, complemented
46#91778C2211yescharacteristic, complemented
47#91776C2211yescharacteristic, complemented
48#91774C2211yescharacteristic, complemented
49#91770C2211yescharacteristic, complemented
50#91770C2211yescharacteristic, complemented
51#91768C2211yescharacteristic, complemented
52#91767C2211yescharacteristic, complemented
53#91766C2211yescharacteristic, complemented
54C5×#939C2211yescharacteristic
55C2×C5×(C2×D3)⋊C4C2211yescharacteristic
56C5×#896C2211yescharacteristic
57C5×#895C2211yescharacteristic
58C5×#894C2211yescharacteristic
59C5×#893C2211yescharacteristic
60C5×#885C2211yescharacteristic
61C5×#884C2211yescharacteristic
62C5×#882C2211yescharacteristic
63C5×#882C2211yescharacteristic
64C5×#67⋊C4C2211yescharacteristic
65C5×D3×C22⋊C4C2211yescharacteristic
66C3×#4081C2211yescharacteristic
67C3×D4×Dic5C2211yescharacteristic
68C3×#4072C2211yescharacteristic, complemented
69C2×C3×#683C2211yescharacteristic, complemented
70C3×#4036C2211yescharacteristic, complemented
71C3×#4035C2211yescharacteristic, complemented
72C3×#4035C2211yescharacteristic, complemented
73C3×#4033C2211yescharacteristic, complemented
74C3×#4025C2211yescharacteristic, complemented
75C3×#4025C2211yescharacteristic, complemented
76C3×#4024C2211yescharacteristic, complemented
77C3×#4024C2211yescharacteristic, complemented
78C3×#4023C2211yescharacteristic, complemented
79C3×#4023C2211yescharacteristic, complemented
80#91575C2211yescharacteristic, complemented
81#91570C2211yescharacteristic
82#91570C2211yescharacteristic
83#91566C2211yescharacteristic, complemented
84#91566C2211yescharacteristic, complemented
85#91562C2211yescharacteristic, complemented
86#67⋊Dic5C2211yescharacteristic
87#67⋊Dic5C2211yescharacteristic
88#67⋊Dic5C2211yescharacteristic
89#67⋊Dic5C2211yescharacteristic, complemented
90#67⋊Dic5C2211yescharacteristic, complemented
91#67⋊Dic5C2211yescharacteristic, complemented
92#91557C2211yescharacteristic
93#91556C2211yescharacteristic, complemented
94#91555C2211yescharacteristic, complemented
95D3×C22⋊Dic5C2211yescharacteristic
96D3×C22⋊Dic5C2211yescharacteristic
97D3×C22⋊Dic5C2211yescharacteristic
98Dic5×#67C2211yescharacteristic
99Dic5×#67C2211yescharacteristic
100C2×#6668C2211yescharacteristic, complemented
101#91539C2211yescharacteristic, complemented
102C2×(C2×D3)⋊Dic5C2211yescharacteristic
103#91532C2211yescharacteristic, complemented
104#91531C2211yescharacteristic, complemented
105#91528C2211yescharacteristic, complemented
106C2×Dic3×Dic5C2211yescharacteristic, complemented
107#91525C2211yescharacteristic
108#91525C2211yescharacteristic, complemented
109#91446C2211yescharacteristic
110#91446C2211yescharacteristic, complemented
111#91446C2211yescharacteristic, complemented
112#91438C2211yescharacteristic, complemented
113#91436C2211yescharacteristic
114#91435C2211yescharacteristic
115#91435C2211yescharacteristic, complemented
116#91435C2211yescharacteristic, complemented
117#91435C2211yescharacteristic, complemented
118#91432C2211yescharacteristic
119#91427C2211yescharacteristic
120#91427C2211yescharacteristic
121D3×C4⋊Dic5C2211yescharacteristic
122#91424C2211yescharacteristic, complemented
123#91423C2211yescharacteristic
124#91423C2211yescharacteristic
125#91423C2211yescharacteristic
126#91423C2211yescharacteristic, complemented
127#91423C2211yescharacteristic, complemented
128#91417C2211yescharacteristic, complemented
129#91416C2211yescharacteristic
130#91416C2211yescharacteristic, complemented
131#91416C2211yescharacteristic, complemented
132Dic5×D12C2211yescharacteristic
133Dic5×D12C2211yescharacteristic
134#91410C2211yescharacteristic, complemented
135#91410C2211yescharacteristic, complemented
136#91406C2211yescharacteristic, complemented
137#91406C2211yescharacteristic, complemented
138#91405C2211yescharacteristic
139#91405C2211yescharacteristic, complemented
140#91402C2211yescharacteristic, complemented
141C4×#1200C2211yescharacteristic, complemented
142#91400C2211yescharacteristic
143#91400C2211yescharacteristic
144#91400C2211yescharacteristic
145#91400C2211yescharacteristic
146#91400C2211yescharacteristic
147#91400C2211yescharacteristic, complemented
148#91400C2211yescharacteristic, complemented
149#91400C2211yescharacteristic, complemented
150#91400C2211yescharacteristic, complemented
151#91400C2211yescharacteristic, complemented
152D3×#683C2211yescharacteristic, complemented
153D3×#683C2211yescharacteristic, complemented
154#91398C2211yescharacteristic
155#91398C2211yescharacteristic
156#91398C2211yescharacteristic, complemented
157C4×D3×Dic5C2211yescharacteristic
158C4×D3×Dic5C2211yescharacteristic, complemented
159C4×D3×Dic5C2211yescharacteristic, complemented
160C4×D3×Dic5C2211yescharacteristic, complemented
161#91379C2211yescharacteristic, complemented
162#91378C2211yescharacteristic, complemented
163#91373C2211yescharacteristic, complemented
164#91372C2211yescharacteristic, complemented
165#91372C2211yescharacteristic, complemented
166#91371C2211yescharacteristic, complemented
167#91371C2211yescharacteristic, complemented
168#91365C2211yescharacteristic, complemented
169#91352C2211yescharacteristic
170#91352C2211yescharacteristic, complemented
171#91351C2211yescharacteristic, complemented
172#91350C2211yescharacteristic, complemented
173#91346C2211yescharacteristic, complemented
174#91345C2211yescharacteristic, complemented
175#91344C2211yescharacteristic, complemented
176#91344C2211yescharacteristic, complemented
177#91343C2211yescharacteristic, complemented
178#91342C2211yescharacteristic, complemented
179#91342C2211yescharacteristic, complemented
180#91341C2211yescharacteristic, complemented
181#91341C2211yescharacteristic, complemented
182Dic3×Dic10C2211yescharacteristic, complemented
183#91329C2211yescharacteristic, complemented
184#91328C2211yescharacteristic, complemented
185#91325C2211yescharacteristic, complemented
186#91325C2211yescharacteristic, complemented
187#91324C2211yescharacteristic, complemented
188#86827—51nomaximal, Hall
189C5×#546—31no—
190#41×Dic5—31no—
191#66158—31no—
192#66140—31no—
193C2×D4×Dic5—31no—
194#66014—31no—
195#66005—31no—
196#65984—31no—
197#65984D311yescharacteristic, complemented
198#65983—31no—
199#65983—31no—
200#65976—31no—
201#65956—31no—
202#65950—31no—
203#65935—31no—
204#65935—31no—
205#65934—31no—
206#65934—31no—
207#65934—31no—
208#65921—31no—
209#65921—31no—
210#65920—31no—
211#65920—31no—
212#65875—31no—
213#65873—31no—
214C4×#711—31no—
215C4×#711—31no—
216#65829—31no—
217#65829—31no—
218C2×#4023—31no—
219C2×#4023—31no—
220C23×C5×D3C2311yescharacteristic
221C23×C5×D3C2311yescharacteristic
222C2×C3×C5×D4C2311yescharacteristic
223C22×C3×C4×C5C2311yescharacteristic
224C2×#1220C2311yescharacteristic
225C2×#1220C2311yescharacteristic
226C22×Dic15C2311yescharacteristic
227C22×Dic15C2311yescharacteristic
228C22×Dic15C2311yescharacteristic
229C2×C4×D15C2311yescharacteristic
230C2×Dic30C2311yescharacteristic
231C2×C5×#67C2311yescharacteristic
232C2×C5×#67C2311yescharacteristic
233C2×C5×#67C2311yescharacteristic
234C2×C5×#67C2311yescharacteristic
235C22×C5×Dic3C2311yescharacteristic
236C5×D3×D4—24no—
237C5×#235—24no—
238C2×C5×D12C2311yescharacteristic
239C2×C5×D12C2311yescharacteristic
240C2×C5×D12C2311yescharacteristic
241C2×C5×D12C2311yescharacteristic
242C2×C4×C5×D3C2311yescharacteristic
243C2×C4×C5×D3C2311yescharacteristic
244C2×C4×C5×D3C2311yescharacteristic
245C2×C4×C5×D3C2311yescharacteristic
246C2×C5×Dic6C2311yescharacteristic
247C22×C3×Dic5C2311yescharacteristic
248C22×C3×Dic5C2311yescharacteristic
249C22×C3×Dic5C2311yescharacteristic
250C2×C3×Dic10C2311yescharacteristic
251C2×#1204C2311yescharacteristic
252C2×#1204C2311yescharacteristic
253C2×#1203C2311yescharacteristic
254C2×#1203C2311yescharacteristic
255C2×#1203C2311yescharacteristic
256C2×#1203C2311yescharacteristic
257C2×#1200C2311yescharacteristic
258C2×#1200C2311yescharacteristic
259#6782—24no—
260C2×D3×Dic5—24no—
261C2×D3×Dic5—24no—
262C2×D3×Dic5C2311yescharacteristic
263C2×D3×Dic5C2311yescharacteristic
264C2×D3×Dic5C2311yescharacteristic
265C2×D3×Dic5C2311yescharacteristic
266C2×D3×Dic5C2311yescharacteristic
267C2×D3×Dic5C2311yescharacteristic
268C2×D3×Dic5C2311yescharacteristic
269C2×D3×Dic5C2311yescharacteristic
270C2×D3×Dic5C2311yescharacteristic
271C2×D3×Dic5C2311yescharacteristic
272C2×D3×Dic5C2311yescharacteristic
273C2×D3×Dic5C2311yescharacteristic
274#6768—24no—
275C3×C5×C4⋊C4C2311yescharacteristic
276C3×C5×C4⋊C4C2311yescharacteristic
277C3×C5×C22⋊C4C2311yescharacteristic
278C3×C5×C22⋊C4C2311yescharacteristic
279C3×C5×C22⋊C4C2311yescharacteristic
280#6719C2311yescharacteristic
281#6719C2311yescharacteristic
282#6719C2311yescharacteristic
283#6714C2311yescharacteristic
284#6714C2311yescharacteristic
285#6714C2311yescharacteristic
286#6714C2311yescharacteristic
287C4⋊Dic15C2311yescharacteristic
288C4⋊Dic15C2311yescharacteristic
289#6712C2311yescharacteristic
290#6712C2311yescharacteristic
291#6712C2311yescharacteristic
292#6712C2311yescharacteristic
293#6712C2311yescharacteristic
294#6712C2311yescharacteristic
295C4×Dic15C2311yescharacteristic
296C4×Dic15C2311yescharacteristic
297C4×Dic15C2311yescharacteristic
298C4×Dic15C2311yescharacteristic
299C4×Dic15C2311yescharacteristic
300C4×Dic15C2311yescharacteristic
301C5×#217C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
310C5×Dic3⋊C4C2311yescharacteristic
311C5×Dic3⋊C4C2311yescharacteristic
312C4×C5×Dic3C2311yescharacteristic
313C3×C22⋊Dic5C2311yescharacteristic
314C3×C22⋊Dic5C2311yescharacteristic
315C3×C22⋊Dic5C2311yescharacteristic
316C3×C22⋊Dic5C2311yescharacteristic
317C3×C22⋊Dic5C2311yescharacteristic
318C3×C4⋊Dic5C2311yescharacteristic
319C3×C4⋊Dic5C2311yescharacteristic
320C3×C4⋊Dic5C2311yescharacteristic
321C3×C4⋊Dic5C2311yescharacteristic
322C3×#683C2311yescharacteristic
323C3×#683C2311yescharacteristic
324C3×#683C2311yescharacteristic
325C3×#683C2311yescharacteristic
326C3×#683C2311yescharacteristic
327C3×#683C2311yescharacteristic
328C3×#683C2311yescharacteristic
329C3×#683C2311yescharacteristic
330C3×#683C2311yescharacteristic
331C3×#683C2311yescharacteristic
332C3×C4×Dic5C2311yescharacteristic
333C3×C4×Dic5C2311yescharacteristic
334C3×C4×Dic5C2311yescharacteristic
335C3×C4×Dic5C2311yescharacteristic
336C3×C4×Dic5C2311yescharacteristic
337Dic3⋊Dic5C2311yescharacteristic
338Dic3⋊Dic5C2311yescharacteristic
339Dic3⋊Dic5C2311yescharacteristic
340Dic3⋊Dic5C2311yescharacteristic
341Dic3⋊Dic5C2311yescharacteristic
342Dic3⋊Dic5C2311yescharacteristic
343#6669C2311yescharacteristic
344#6669C2311yescharacteristic
345#6669C2311yescharacteristic
346#6669C2311yescharacteristic
347#6668C2311yescharacteristic
348#6668C2311yescharacteristic
349#6668C2311yescharacteristic
350#6668C2311yescharacteristic
351#6668C2311yescharacteristic
352#6668C2311yescharacteristic
353#6667C2311yescharacteristic
354#6667C2311yescharacteristic
355(C2×D3)⋊Dic5C2311yescharacteristic
356(C2×D3)⋊Dic5C2311yescharacteristic
357(C2×D3)⋊Dic5C2311yescharacteristic
358(C2×D3)⋊Dic5C2311yescharacteristic
359(C2×D3)⋊Dic5C2311yescharacteristic
360(C2×D3)⋊Dic5C2311yescharacteristic
361(C2×D3)⋊Dic5C2311yescharacteristic
362(C2×D3)⋊Dic5C2311yescharacteristic
363(C2×D3)⋊Dic5C2311yescharacteristic
364(C2×D3)⋊Dic5C2311yescharacteristic
365(C2×D3)⋊Dic5C2311yescharacteristic
366(C2×D3)⋊Dic5C2311yescharacteristic
367(C2×D3)⋊Dic5C2311yescharacteristic
368(C2×D3)⋊Dic5C2311yescharacteristic
369(C2×D3)⋊Dic5C2311yescharacteristic
370(C2×D3)⋊Dic5C2311yescharacteristic
371Dic3×Dic5C2311yescharacteristic
372Dic3×Dic5C2311yescharacteristic
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#5654D511yescharacteristic, complemented
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#5527—51no—
407#5522—51no—
408#5522—51no—
409D3×#117—51no—
410#5507—51no—
411C2×#892—51no—
412C2×C5×#41—31no—
413C22×C5×D4—31no—
414C23×Dic5—31no—
415C23×Dic5—31no—
416C2×#711—31no—
417C2×#711—31no—
418C5×#124—31no—
419C5×#123—31no—
420C5×#123C2×D311yescharacteristic
421C5×C22⋊Q8—31no—
422C5×#121—31no—
423C5×#121—31no—
424C5×#121—31no—
425C5×#120—31no—
426C5×#120—31no—
427C4×C5×D4—31no—
428C4×C5×D4—31no—
429C2×C5×C22⋊C4—31no—
430C2×C5×C22⋊C4—31no—
431#4099—31no—
432#4099—31no—
433C2×C22⋊Dic5—31no—
434C2×C22⋊Dic5—31no—
435C2×C22⋊Dic5—31no—
436C2×C22⋊Dic5—31no—
437#4092—31no—
438Q8×Dic5—31no—
439Q8×Dic5—31no—
440#4090—31no—
441#4085—31no—
442#4085—31no—
443#4085—31no—
444#4085—31no—
445#4085—31no—
446#4085—31no—
447#4084—31no—
448#4082—31no—
449#4082—31no—
450#4082—31no—
451#4081—31no—
452#4081—31no—
453#4081—31no—
454#4081—31no—
455#4081—31no—
456#4081—31no—
457#4081—31no—
458#4081C2×D311yescharacteristic
459D4×Dic5—31no—
460D4×Dic5—31no—
461D4×Dic5—31no—
462D4×Dic5—31no—
463D4×Dic5—31no—
464D4×Dic5—31no—
465D4×Dic5—31no—
466D4×Dic5—31no—
467D4×Dic5—31no—
468D4×Dic5—31no—
469D4×Dic5—31no—
470D4×Dic5—31no—
471D4×Dic5—31no—
472D4×Dic5—31no—
473D4×Dic5—31no—
474D4×Dic5C2×D311yescharacteristic
475#4075—31no—
476#4075—31no—
477C4×C22⋊D5—31no—
478C4×C22⋊D5—31no—
479C4×C22⋊D5—31no—
480C4×C22⋊D5—31no—
481#4072—31no—
482#4072—31no—
483#4072C2×D311yescharacteristic, complemented
484C2×C4⋊Dic5—31no—
485#4070—31no—
486#4070—31no—
487#4070—31no—
488#4070—31no—
489C2×#683—31no—
490C2×#683—31no—
491C2×#683—31no—
492C2×#683C2×D311yescharacteristic, complemented
493C2×C4×Dic5—31no—
494C2×C4×Dic5—31no—
495C2×C4×Dic5—31no—
496C2×C4×Dic5—31no—
497C2×C4×Dic5—31no—
498C2×C4×Dic5—31no—
499#4044—31no—
500#4044—31no—
501#4038—31no—
502#4038—31no—
503#4036—31no—
504#4036—31no—
505#4036C2×D311yescharacteristic, complemented
506#4035—31no—
507#4035—31no—
508#4035C2×D311yescharacteristic, complemented
509#4035C2×D311yescharacteristic, complemented
510#4034—31no—
511#4033—31no—
512#4033—31no—
513#4033—31no—
514#4033C2×D311yescharacteristic, complemented
515#4032—31no—
516#4032—31no—
517#4031—31no—
518#4031—31no—
519#4029—31no—
520#4029—31no—
521#4027—31no—
522#4027—31no—
523#4027—31no—
524#4027—31no—
525#4027—31no—
526#4027—31no—
527#4025—31no—
528#4025—31no—
529#4025—31no—
530#4025—31no—
531#4025—31no—
532#4025—31no—
533#4025—31no—
534#4025—31no—
535#4025C2×D311yescharacteristic, complemented
536#4025C2×D311yescharacteristic, complemented
537#4024—31no—
538#4024—31no—
539#4024—31no—
540#4024—31no—
541#4024—31no—
542#4024—31no—
543#4024C2×D311yescharacteristic, complemented
544#4024C2×D311yescharacteristic, complemented
545#4023—31no—
546#4023—31no—
547#4023—31no—
548#4023—31no—
549#4023—31no—
550#4023—31no—
551#4023—31no—
552#4023—31no—
553#4023—31no—
554#4023—31no—
555#4023—31no—
556#4023—31no—
557#4023—31no—
558#4023—31no—
559#4023—31no—
560#4023—31no—
561#4023C2×D311yescharacteristic, complemented
562#4023C2×D311yescharacteristic, complemented
563C42×D5—31no—
564#4016—31no—
565C4×Dic10—31no—
566C4×Dic10—31no—
567#3475—151noSylow
568C23×C3×C5C2411yescharacteristic
569C23×C3×C5C2411yescharacteristic
570C22×D15C2411yescharacteristic
571C22×C5×D3—22no—
572C22×C5×D3—22no—
573C22×C5×D3—22no—
574C22×C5×D3—22no—
575C22×C5×D3—41no—
576C22×C5×D3—41no—
577C22×C5×D3C2411yescharacteristic
578C22×C5×D3C2411yescharacteristic
579C22×C5×D3C2411yescharacteristic
580C22×C5×D3C2411yescharacteristic
581C3×C5×D4—22no—
582C2×C3×C4×C5—22no—
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—41no—
590C2×Dic15—22no—
591C2×Dic15—22no—
592C2×Dic15—41no—
593C2×Dic15C2411yescharacteristic
594C2×Dic15C2411yescharacteristic
595C2×Dic15C2411yescharacteristic
596C2×Dic15C2411yescharacteristic
597C2×Dic15C2411yescharacteristic
598C2×Dic15C2411yescharacteristic
599C2×Dic15C2411yescharacteristic
600C4×D15—22no—
601Dic30—41no—
602C5×#67—22no—
603C5×#67—22no—
604C5×#67—41no—
605C5×#67#4114yescomplemented
606C2×C5×Dic3—41no—
607C2×C5×Dic3C2411yescharacteristic
608C2×C5×Dic3C2411yescharacteristic
609C2×C5×Dic3C2411yescharacteristic
610C2×C5×Dic3C2411yescharacteristic
611C5×D12—22no—
612C5×D12—22no—
613C5×D12—22no—
614C5×D12—41no—
615C4×C5×D3—22no—
616C4×C5×D3—22no—
617C4×C5×D3—22no—
618C4×C5×D3—41no—
619C5×Dic6—22no—
620C2×C3×Dic5—22no—
621C2×C3×Dic5—22no—
622C2×C3×Dic5—22no—
623C2×C3×Dic5C2411yescharacteristic
624C2×C3×Dic5C2411yescharacteristic
625C2×C3×Dic5C2411yescharacteristic
626C2×C3×Dic5C2411yescharacteristic
627C2×C3×Dic5C2411yescharacteristic
628C2×C3×Dic5C2411yescharacteristic
629C2×C3×Dic5C2411yescharacteristic
630C2×C3×Dic5C2411yescharacteristic
631C3×Dic10—22no—
632#1204—22no—
633#1204—41no—
634#1203—22no—
635#1203—22no—
636#1203—22no—
637#1203—41no—
638#1200—22no—
639#1200—41no—
640D3×Dic5—22no—
641D3×Dic5—22no—
642D3×Dic5—22no—
643D3×Dic5—22no—
644D3×Dic5—22no—
645D3×Dic5—22no—
646D3×Dic5—22no—
647D3×Dic5—22no—
648D3×Dic5—41no—
649D3×Dic5—41no—
650D3×Dic5—41no—
651D3×Dic5#4114yescomplemented
652C2×#239—51no—
653C2×D3×D4C2×D511yescharacteristic
654C2×#235—51no—
655C2×#235C2×D511yescharacteristic
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×#123C2×D511yescharacteristic
665C3×C22⋊Q8—51no—
666C3×C22⋊Q8—51no—
667C3×C4×Q8—51no—
668C3×C4×D4—51no—
669C3×#117—51no—
670C3×#117—51no—
671C3×#117—51no—
672C2×C3×C4⋊C4—51no—
673#946—51no—
674#946—51no—
675Q8×Dic3—51no—
676#939—51no—
677#939C2×D511yescharacteristic
678D4×Dic3—51no—
679#930—51no—
680#930—51no—
681#929—51no—
682#929—51no—
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#898—51no—
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#895C2×D511yescharacteristic
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#894—51no—
718#894C2×D511yescharacteristic
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#893C2×D511yescharacteristic
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#885C2×D511yescharacteristic
759#884—51no—
760#884C2×D511yescharacteristic
761#883—51no—
762#883—51no—
763#882—51no—
764#882—51no—
765#882C2×D511yescharacteristic
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
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#878—51no—
785#877—51no—
786#877—51no—
787#876—51no—
788#876—51no—
789#875—51no—
790#875—51no—
791C4×D12—51no—
792C4×D12—51no—
793C4×D12—51no—
794C4×D12—51no—
795#872—51no—
796#872—51no—
797#872—51no—
798#872—51no—
799#872—51no—
800#872—51no—
801C42×D3—51no—
802C42×D3—51no—
803C42×D3—51no—
804C42×D3—51no—
805C42×D3—51no—
806#870—51no—
807C24×C5—31no—
808C24×C5—31no—
809C5×#41—64no—
810C2×C5×Q8—31no—
811C2×C5×D4—31no—
812C2×C5×D4—31no—
813C2×C5×D4—31no—
814C2×C5×D4—31no—
815C2×C5×D4—31no—
816C2×C5×D4—31no—
817C2×C5×D4—31no—
818C2×C5×D4—31no—
819C2×C5×D4—64no—
820C2×C5×D4C22×D311yescharacteristic
821C22×C4×C5—31no—
822C22×C4×C5—31no—
823C22×C4×C5—31no—
824C22×C4×C5—31no—
825C22×C4×C5—31no—
826C22×C4×C5C22×D311yescharacteristic
827C2×C22⋊D5—31no—
828C2×C22⋊D5—31no—
829C2×C22⋊D5—31no—
830C2×C22⋊D5—31no—
831C2×C22⋊D5—31no—
832C2×C22⋊D5—31no—
833C22×Dic5—31no—
834C22×Dic5—31no—
835C22×Dic5—31no—
836C22×Dic5—31no—
837C22×Dic5—31no—
838C22×Dic5—31no—
839C22×Dic5—31no—
840C22×Dic5—31no—
841C22×Dic5—31no—
842C22×Dic5—31no—
843C22×Dic5—31no—
844C22×Dic5—31no—
845C22×Dic5—31no—
846C22×Dic5—31no—
847C22×Dic5—31no—
848C22×Dic5—64no—
849C22×Dic5—64no—
850C22×Dic5C22×D311yescharacteristic
851C22×Dic5C22×D311yescharacteristic
852C22×Dic5C22×D311yescharacteristic
853#711—64no—
854#711—64no—
855C2×C4×D5—31no—
856C2×C4×D5—31no—
857C2×C4×D5—31no—
858C2×Dic10—31no—
859C2×Dic10—31no—
860C2×Dic10—31no—
861C2×Dic10C22×D311yescharacteristic
862C5×C4⋊C4—31no—
863C5×C4⋊C4—31no—
864C5×C4⋊C4C22×D311yescharacteristic
865C5×C4⋊C4C22×D311yescharacteristic
866C5×C22⋊C4—31no—
867C5×C22⋊C4—31no—
868C5×C22⋊C4—31no—
869C5×C22⋊C4—31no—
870C5×C22⋊C4—31no—
871C5×C22⋊C4—31no—
872C5×C22⋊C4—31no—
873C5×C22⋊C4—31no—
874C5×C22⋊C4—31no—
875C5×C22⋊C4C22×D311yescharacteristic
876C5×C22⋊C4C22×D311yescharacteristic
877C5×C22⋊C4C22×D311yescharacteristic
878C42×C5—31no—
879C22⋊Dic5—31no—
880C22⋊Dic5—31no—
881C22⋊Dic5—31no—
882C22⋊Dic5—31no—
883C22⋊Dic5—31no—
884C22⋊Dic5—31no—
885C22⋊Dic5—31no—
886C22⋊Dic5—31no—
887C22⋊Dic5—31no—
888C22⋊Dic5—31no—
889C22⋊Dic5—31no—
890C22⋊Dic5—31no—
891C22⋊Dic5—31no—
892C22⋊Dic5—31no—
893C22⋊Dic5—31no—
894C22⋊Dic5—31no—
895C22⋊Dic5—31no—
896C22⋊Dic5—31no—
897C22⋊Dic5—31no—
898C22⋊Dic5C22×D311yescharacteristic
899C22⋊Dic5C22×D311yescharacteristic
900C22⋊Dic5C22×D311yescharacteristic
901C22⋊Dic5C22×D311yescharacteristic
902C22⋊Dic5C22×D311yescharacteristic
903#685—31no—
904#685—31no—
905#685—31no—
906#685—31no—
907#685—31no—
908#685—31no—
909C4⋊Dic5—31no—
910C4⋊Dic5—31no—
911C4⋊Dic5—31no—
912C4⋊Dic5—31no—
913C4⋊Dic5—31no—
914C4⋊Dic5—31no—
915C4⋊Dic5—31no—
916C4⋊Dic5—31no—
917C4⋊Dic5C22×D311yescharacteristic
918C4⋊Dic5C22×D311yescharacteristic
919C4⋊Dic5C22×D311yescharacteristic
920C4⋊Dic5C22×D311yescharacteristic
921#683—31no—
922#683—31no—
923#683—31no—
924#683—31no—
925#683—31no—
926#683—31no—
927#683—31no—
928#683—31no—
929#683—31no—
930#683—31no—
931#683—31no—
932#683—31no—
933#683—31no—
934#683—31no—
935#683—31no—
936#683—31no—
937#683C22×D311yescharacteristic
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
947C4×Dic5—31no—
948C4×Dic5—31no—
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×Dic5C22×D311yescharacteristic
964C4×Dic5C22×D311yescharacteristic
965C4×Dic5C22×D311yescharacteristic
966C4×Dic5C22×D311yescharacteristic
967C4×Dic5C22×D311yescharacteristic
968#556—151no—
969#555—151no—
970#554—151no—
971#553—151no—
972#553—151no—
973#552—51no—
974#552—151no—
975#552—151no—
976#552—151no—
977#551—151no—
978#551—151no—
979#551—151no—
980#551—151no—
981#547—151no—
982#546—31no—
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×C5—21no—
1002C22×C3×C5—21no—
1003C22×C3×C5—21no—
1004C22×C3×C5C2×#4112yes—
1005C22×C3×C5C2511yescharacteristic
1006C2×D15—21no—
1007C2×D15—21no—
1008C2×D15—21no—
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—21no—
1018C2×C5×D3—21no—
1019C2×C5×D3—44no—
1020C2×C5×D3—44no—
1021C2×C5×D3C2×#4112yes—
1022C2×C5×D3C2×#4112yes—
1023C3×C4×C5—21no—
1024C3×C4×C5—21no—
1025C3×C4×C5—21no—
1026C3×C4×C5—21no—
1027C3×C4×C5—21no—
1028Dic15—21no—
1029Dic15—21no—
1030Dic15—21no—
1031Dic15—21no—
1032Dic15—21no—
1033Dic15—21no—
1034Dic15C2×#4112yes—
1035C3×Dic5—21no—
1036C3×Dic5—21no—
1037C3×Dic5—21no—
1038C3×Dic5—21no—
1039C3×Dic5—21no—
1040C3×Dic5—21no—
1041C3×Dic5—21no—
1042C3×Dic5C2×#4112yes—
1043C5×Dic3—21no—
1044C5×Dic3—21no—
1045C5×Dic3—21no—
1046C5×Dic3C2×#4112yes—
1047C23×D3C22×D511yescharacteristic
1048C23×D3C22×D511yescharacteristic
1049C2×C3×Q8—51no—
1050C2×C3×D4C22×D511yescharacteristic
1051C22×C3×C4—51no—
1052C22×C3×C4—51no—
1053C22×C3×C4—51no—
1054C22×C3×C4C22×D511yescharacteristic
1055C2×#67—51no—
1056C2×#67—51no—
1057C2×#67C22×D511yescharacteristic
1058C2×#67C22×D511yescharacteristic
1059C2×#67C22×D511yescharacteristic
1060C2×#67C22×D511yescharacteristic
1061C22×Dic3—51no—
1062C22×Dic3—51no—
1063C22×Dic3—51no—
1064C22×Dic3C22×D511yescharacteristic
1065#239—104no—
1066D3×D4—24no—
1067#235—24no—
1068#235—104no—
1069C2×D12—51no—
1070C2×D12—51no—
1071C2×D12—51no—
1072C2×D12—51no—
1073C2×D12C22×D511yescharacteristic
1074C2×D12C22×D511yescharacteristic
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—104no—
1093C2×C4×D3—104no—
1094C2×C4×D3C22×D511yescharacteristic
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⋊C4C22×D511yescharacteristic
1124C3×C22⋊C4C22×D511yescharacteristic
1125C3×C22⋊C4C22×D511yescharacteristic
1126C3×C42—51no—
1127C3×C42—51no—
1128C3×C42—51no—
1129C3×C42—51no—
1130C3×C42—51no—
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)⋊C4—51no—
1155(C2×D3)⋊C4—51no—
1156(C2×D3)⋊C4—51no—
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⋊Dic3—51no—
1173Dic3⋊C4—51no—
1174Dic3⋊C4—51no—
1175Dic3⋊C4—51no—
1176Dic3⋊C4—51no—
1177Dic3⋊C4—51no—
1178Dic3⋊C4—51no—
1179Dic3⋊C4—51no—
1180Dic3⋊C4—51no—
1181Dic3⋊C4—51no—
1182Dic3⋊C4—51no—
1183Dic3⋊C4—51no—
1184Dic3⋊C4—51no—
1185Dic3⋊C4—51no—
1186Dic3⋊C4—51no—
1187Dic3⋊C4—51no—
1188Dic3⋊C4—51no—
1189Dic3⋊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—31no—
1212C23×C5—62no—
1213C23×C5—62no—
1214C23×C5—62no—
1215C23×C5—62no—
1216C23×C5—121no—
1217C23×C5—121no—
1218C23×C5C23×D311yescharacteristic
1219C23×C5C23×D311yescharacteristic
1220C22×D5—31no—
1221C5×Q8—62no—
1222C5×D4—22no—
1223C5×D4—34no—
1224C5×D4—62no—
1225C5×D4—62no—
1226C5×D4—62no—
1227C5×D4—62no—
1228C5×D4—62no—
1229C5×D4—121no—
1230C5×D4—121no—
1231C2×C4×C5—22no—
1232C2×C4×C5—31no—
1233C2×C4×C5—31no—
1234C2×C4×C5—31no—
1235C2×C4×C5—31no—
1236C2×C4×C5—62no—
1237C2×C4×C5—62no—
1238C2×C4×C5—62no—
1239C2×C4×C5—121no—
1240C2×C4×C5—121no—
1241C2×C4×C5C23×D311yescharacteristic
1242C2×C4×C5C23×D311yescharacteristic
1243C2×C4×C5C23×D311yescharacteristic
1244C2×C4×C5C23×D311yescharacteristic
1245C2×C4×C5C23×D311yescharacteristic
1246C22⋊D5—62no—
1247C22⋊D5—62no—
1248C22⋊D5—62no—
1249C22⋊D5—62no—
1250C22⋊D5—121no—
1251C22⋊D5—121no—
1252C2×Dic5—22no—
1253C2×Dic5—22no—
1254C2×Dic5—22no—
1255C2×Dic5—31no—
1256C2×Dic5—34no—
1257C2×Dic5—31no—
1258C2×Dic5—31no—
1259C2×Dic5—31no—
1260C2×Dic5—31no—
1261C2×Dic5—31no—
1262C2×Dic5—31no—
1263C2×Dic5—62no—
1264C2×Dic5—62no—
1265C2×Dic5—62no—
1266C2×Dic5—62no—
1267C2×Dic5—62no—
1268C2×Dic5—62no—
1269C2×Dic5—62no—
1270C2×Dic5—62no—
1271C2×Dic5—62no—
1272C2×Dic5—62no—
1273C2×Dic5—121no—
1274C2×Dic5—121no—
1275C2×Dic5—121no—
1276C2×Dic5—121no—
1277C2×Dic5C23×D311yescharacteristic
1278C2×Dic5C23×D311yescharacteristic
1279C2×Dic5C23×D311yescharacteristic
1280C2×Dic5C23×D311yescharacteristic
1281C2×Dic5C23×D311yescharacteristic
1282C2×Dic5C23×D311yescharacteristic
1283C2×Dic5C23×D311yescharacteristic
1284C2×Dic5C23×D311yescharacteristic
1285C4×D5—62no—
1286C4×D5—62no—
1287C4×D5—121no—
1288Dic10—22no—
1289Dic10—62no—
1290Dic10—121no—
1291Dic10—121no—
1292C2×#41—31no—
1293C2×#41—151no—
1294C2×#41—151no—
1295C22×D4—31no—
1296C23×C4—151no—
1297C23×C4—151no—
1298C4⋊Q8—151no—
1299C4⋊Q8—151no—
1300#126—51no—
1301#126—51no—
1302#126—151no—
1303#126—151no—
1304#126—151no—
1305#126—151no—
1306#126—151no—
1307#126—151no—
1308#126—151no—
1309#126—151no—
1310#126—151no—
1311#126—151no—
1312#125—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—51no—
1328#123—151no—
1329#123—151no—
1330#123—151no—
1331#123—151no—
1332#123—151no—
1333#123—151no—
1334#123—151no—
1335#123—151no—
1336#123—151no—
1337#123—151no—
1338#123—151no—
1339#123—151no—
1340#123—151no—
1341#123D3×D511yescharacteristic
1342C22⋊Q8—31no—
1343C22⋊Q8—51no—
1344C22⋊Q8—51no—
1345C22⋊Q8—151no—
1346C22⋊Q8—151no—
1347C22⋊Q8—151no—
1348C22⋊Q8—151no—
1349C22⋊Q8—151no—
1350C22⋊Q8—151no—
1351C22⋊Q8—151no—
1352C22⋊Q8—151no—
1353C22⋊Q8—151no—
1354C22⋊Q8—151no—
1355C22⋊Q8—151no—
1356#121—31no—
1357#121—31no—
1358#121—31no—
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—31no—
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—51no—
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#117—151no—
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×C5—41no—
1449C2×C3×C5C22×#4111yescharacteristic
1450C2×C3×C5C22×#4111yescharacteristic
1451C2×C3×C5#58511yescharacteristic
1452D15—41no—
1453C5×D3—22no—
1454C5×D3—22no—
1455C5×D3—41no—
1456C5×D3—41no—
1457C23×C3C23×D511yescharacteristic
1458C23×C3C23×D511yescharacteristic
1459C22×D3—22no—
1460C22×D3—22no—
1461C22×D3—22no—
1462C22×D3—22no—
1463C22×D3—41no—
1464C22×D3—41no—
1465C22×D3—51no—
1466C22×D3C23×D511yescharacteristic
1467C22×D3C23×D511yescharacteristic
1468C22×D3C23×D511yescharacteristic
1469C22×D3C23×D511yescharacteristic
1470C3×Q8—102no—
1471C3×D4—22no—
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—51no—
1481C2×C3×C4—102no—
1482C2×C3×C4—102no—
1483C2×C3×C4—102no—
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—22no—
1491#67—41no—
1492#67—102no—
1493#67—201no—
1494#67#71114yescomplemented
1495C2×Dic3—41no—
1496C2×Dic3—51no—
1497C2×Dic3—51no—
1498C2×Dic3—51no—
1499C2×Dic3—51no—
1500C2×Dic3—51no—
1501C2×Dic3—51no—
1502C2×Dic3—51no—
1503C2×Dic3—102no—
1504C2×Dic3—102no—
1505C2×Dic3—201no—
1506C2×Dic3C23×D511yescharacteristic
1507C2×Dic3C23×D511yescharacteristic
1508C2×Dic3C23×D511yescharacteristic
1509C2×Dic3C23×D511yescharacteristic
1510D12—22no—
1511D12—22no—
1512D12—22no—
1513D12—41no—
1514D12—102no—
1515D12—102no—
1516D12—102no—
1517D12—201no—
1518C4×D3—22no—
1519C4×D3—22no—
1520C4×D3—22no—
1521C4×D3—41no—
1522C4×D3—54no—
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—201no—
1534C4×D3—201no—
1535C4×D3—201no—
1536C4×D3—201no—
1537Dic6—22no—
1538Dic6—102no—
1539Dic6—201no—
1540Dic6—201no—
1541C22×C5—21no—
1542C22×C5—21no—
1543C22×C5—21no—
1544C22×C5—21no—
1545C22×C5—21no—
1546C22×C5—32no—
1547C22×C5—32no—
1548C22×C5—61no—
1549C22×C5—61no—
1550C22×C5—61no—
1551C22×C5—61no—
1552C22×C5—61no—
1553C22×C5—61no—
1554C22×C5—61no—
1555C22×C5—61no—
1556C22×C5—61no—
1557C22×C5—61no—
1558C22×C5—124no—
1559C22×C5—124no—
1560C22×C5D3×#4112yes—
1561C22×C5C24×D311yescharacteristic
1562C2×D5—61no—
1563C2×D5—61no—
1564C2×D5—61no—
1565C4×C5—21no—
1566C4×C5—21no—
1567C4×C5—21no—
1568C4×C5—21no—
1569C4×C5—21no—
1570C4×C5—32no—
1571C4×C5—61no—
1572C4×C5—61no—
1573C4×C5—61no—
1574Dic5—21no—
1575Dic5—21no—
1576Dic5—21no—
1577Dic5—21no—
1578Dic5—21no—
1579Dic5—21no—
1580Dic5—21no—
1581Dic5—32no—
1582Dic5—61no—
1583Dic5—61no—
1584Dic5—61no—
1585Dic5—61no—
1586Dic5—61no—
1587Dic5—61no—
1588Dic5D3×#4112yes—
1589C24—31no—
1590C24—31no—
1591#41—64no—
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—31no—
1603C2×D4—31no—
1604C2×D4—31no—
1605C2×D4—31no—
1606C2×D4—31no—
1607C2×D4—64no—
1608C2×D4—151no—
1609C2×D4—151no—
1610C2×D4—151no—
1611C2×D4—151no—
1612C2×D4—151no—
1613C2×D4—151no—
1614C2×D4C2×D3×D511yescharacteristic
1615C22×C4—31no—
1616C22×C4—31no—
1617C22×C4—31no—
1618C22×C4—31no—
1619C22×C4—31no—
1620C22×C4—51no—
1621C22×C4—51no—
1622C22×C4—51no—
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—51no—
1647C4⋊C4—51no—
1648C4⋊C4—51no—
1649C4⋊C4—51no—
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—151no—
1661C4⋊C4—151no—
1662C4⋊C4—151no—
1663C4⋊C4—151no—
1664C4⋊C4—151no—
1665C4⋊C4—151no—
1666C4⋊C4—151no—
1667C4⋊C4—151no—
1668C4⋊C4—151no—
1669C4⋊C4—151no—
1670C4⋊C4—151no—
1671C4⋊C4—151no—
1672C4⋊C4—151no—
1673C4⋊C4—151no—
1674C4⋊C4—151no—
1675C4⋊C4—151no—
1676C4⋊C4—151no—
1677C4⋊C4—151no—
1678C4⋊C4—151no—
1679C4⋊C4—151no—
1680C4⋊C4—151no—
1681C4⋊C4—151no—
1682C4⋊C4—151no—
1683C4⋊C4—151no—
1684C4⋊C4C2×D3×D511yescharacteristic
1685C4⋊C4C2×D3×D511yescharacteristic
1686C22⋊C4—31no—
1687C22⋊C4—31no—
1688C22⋊C4—31no—
1689C22⋊C4—31no—
1690C22⋊C4—31no—
1691C22⋊C4—31no—
1692C22⋊C4—31no—
1693C22⋊C4—31no—
1694C22⋊C4—31no—
1695C22⋊C4—51no—
1696C22⋊C4—51no—
1697C22⋊C4—51no—
1698C22⋊C4—51no—
1699C22⋊C4—51no—
1700C22⋊C4—151no—
1701C22⋊C4—151no—
1702C22⋊C4—151no—
1703C22⋊C4—151no—
1704C22⋊C4—151no—
1705C22⋊C4—151no—
1706C22⋊C4—151no—
1707C22⋊C4—151no—
1708C22⋊C4—151no—
1709C22⋊C4—151no—
1710C22⋊C4—151no—
1711C22⋊C4—151no—
1712C22⋊C4—151no—
1713C22⋊C4—151no—
1714C22⋊C4—151no—
1715C22⋊C4—151no—
1716C22⋊C4—151no—
1717C22⋊C4—151no—
1718C22⋊C4—151no—
1719C22⋊C4—151no—
1720C22⋊C4—151no—
1721C22⋊C4—151no—
1722C22⋊C4—151no—
1723C22⋊C4—151no—
1724C22⋊C4—151no—
1725C22⋊C4C2×D3×D511yescharacteristic
1726C22⋊C4C2×D3×D511yescharacteristic
1727C22⋊C4C2×D3×D511yescharacteristic
1728C42—31no—
1729C42—51no—
1730C42—51no—
1731C42—51no—
1732C42—51no—
1733C42—51no—
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—
1748C42—151no—
1749C42—151no—
1750C3×C5#347511yescharacteristic, complemented, Hall
1751C22×C3—21no—
1752C22×C3—21no—
1753C22×C3—21no—
1754C22×C3—21no—
1755C22×C3—21no—
1756C22×C3C2×#71112yes—
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—21no—
1767C2×D3—21no—
1768C2×D3—44no—
1769C2×D3—44no—
1770C2×D3—101no—
1771C2×D3—101no—
1772C2×D3—101no—
1773C2×D3C2×#71112yes—
1774C2×D3D5×#4112yes—
1775C3×C4—21no—
1776C3×C4—21no—
1777C3×C4—21no—
1778C3×C4—21no—
1779C3×C4—21no—
1780C3×C4—52no—
1781C3×C4—101no—
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—52no—
1792Dic3—101no—
1793Dic3—101no—
1794Dic3—101no—
1795Dic3—101no—
1796Dic3—101no—
1797Dic3—101no—
1798Dic3C2×#71112yes—
1799C2×C5—22no—
1800C2×C5—41no—
1801C2×C5—62no—
1802C2×C5—62no—
1803C2×C5—121no—
1804C2×C5—121no—
1805C2×C5C2×D3×#4111yescharacteristic
1806C2×C5C2×D3×#4111yescharacteristic
1807C2×C5#596811yescharacteristic
1808D5—121no—
1809C23—31no—
1810C23—31no—
1811C23—31no—
1812C23—31no—
1813C23—62no—
1814C23—62no—
1815C23—62no—
1816C23—62no—
1817C23—121no—
1818C23—121no—
1819C23—151no—
1820C23C22×D3×D511yescharacteristic
1821C23C22×D3×D511yescharacteristic
1822Q8—62no—
1823Q8—102no—
1824Q8—302no—
1825Q8—601no—
1826Q8—601no—
1827D4—22no—
1828D4—34no—
1829D4—62no—
1830D4—62no—
1831D4—62no—
1832D4—62no—
1833D4—62no—
1834D4—121no—
1835D4—121no—
1836D4—302no—
1837D4—302no—
1838D4—302no—
1839D4—302no—
1840D4—601no—
1841D4—601no—
1842C2×C4—22no—
1843C2×C4—31no—
1844C2×C4—31no—
1845C2×C4—31no—
1846C2×C4—31no—
1847C2×C4—51no—
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—62no—
1857C2×C4—62no—
1858C2×C4—102no—
1859C2×C4—102no—
1860C2×C4—102no—
1861C2×C4—121no—
1862C2×C4—121no—
1863C2×C4—154no—
1864C2×C4—151no—
1865C2×C4—151no—
1866C2×C4—151no—
1867C2×C4—151no—
1868C2×C4—151no—
1869C2×C4—151no—
1870C2×C4—151no—
1871C2×C4—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×C4—601no—
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—41no—
1895C2×C3C22×#71111yescharacteristic
1896C2×C3C2×D5×#4111yescharacteristic
1897C2×C3#6628511yescharacteristic
1898D3—22no—
1899D3—22no—
1900D3—41no—
1901D3—41no—
1902D3—201no—
1903C5#8682711yescharacteristic, complemented, Sylow
1904C22—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—32no—
1910C22—32no—
1911C22—61no—
1912C22—61no—
1913C22—61no—
1914C22—61no—
1915C22—61no—
1916C22—61no—
1917C22—61no—
1918C22—61no—
1919C22—61no—
1920C22—61no—
1921C22—124no—
1922C22—124no—
1923C22—301no—
1924C22—301no—
1925C22—301no—
1926C22D3×#71112yes—
1927C22C23×D3×D511yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—21no—
1931C4—21no—
1932C4—21no—
1933C4—32no—
1934C4—52no—
1935C4—61no—
1936C4—61no—
1937C4—61no—
1938C4—101no—
1939C4—101no—
1940C4—101no—
1941C4—101no—
1942C4—101no—
1943C4—101no—
1944C4—101no—
1945C4—152no—
1946C4—301no—
1947C4—301no—
1948C4—301no—
1949C4—301no—
1950C4—301no—
1951C4—301no—
1952C3#1061852811yescharacteristic, complemented, Sylow
1953C2—22no—
1954C2—41no—
1955C2—62no—
1956C2—62no—
1957C2—121no—
1958C2—121no—
1959C2—601no—
1960C2C2×D3×#71111yescharacteristic
1961C2D3×D5×#4111yescharacteristic
1962C2#1175706411yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#123C22
hypercenter#123D3×D5
hypocenterC3×C5#3475
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #123

Complements

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

NH ≅ G/Ntype
1. #11756408C2semidirect
2. C5×#5654C2semidirect
3. C3×#65984C2semidirect
4. #11754859C2semidirect
5. #11754809C2semidirect
6. D3×D4×Dic5C2semidirect
7. #11754735C2semidirect
8. #11754455C2semidirect
9. #11754431C2semidirect
10. #11754346C2semidirect
11. C2×#91400C2semidirect
12. #11753584C2semidirect
13. #11753578C2semidirect
14. #11753566C2semidirect
15. #11753543C2semidirect
16. #11753536C2semidirect
17. #11753493C2semidirect
18. #11753460C2semidirect
19. #11753406C2semidirect
20. #11752996C2semidirect
21. #11752990C2semidirect
22. #11752989C2semidirect
23. #11752973C2semidirect
24. #11752943C2semidirect
25. #11752942C2semidirect
26. #11752902C2semidirect
27. #11752842C2semidirect
28. #11752842C2semidirect
29. #11752823C2semidirect
30. D3×#4023C2semidirect
31. #11752803C2semidirect
42. #91818C22semidirect
43. C2×C4×Dic15C22semidirect
44. #91787C22semidirect
45. #91781C22semidirect
46. #91778C22semidirect
47. #91776C22semidirect
48. #91774C22semidirect
49. #91770C22semidirect
50. #91770C22semidirect
51. #91768C22semidirect
52. #91767C22semidirect
53. #91766C22semidirect
68. C3×#4072C22semidirect
69. C2×C3×#683C22semidirect
70. C3×#4036C22semidirect
71. C3×#4035C22semidirect
72. C3×#4035C22semidirect
73. C3×#4033C22semidirect
74. C3×#4025C22semidirect
75. C3×#4025C22semidirect
76. C3×#4024C22semidirect
77. C3×#4024C22semidirect
78. C3×#4023C22semidirect
79. C3×#4023C22semidirect
80. #91575C22semidirect
83. #91566C22semidirect
84. #91566C22semidirect
85. #91562C22semidirect
89. #67⋊Dic5C22semidirect
90. #67⋊Dic5C22semidirect
91. #67⋊Dic5C22semidirect
93. #91556C22semidirect
94. #91555C22semidirect
100. C2×#6668C22semidirect
101. #91539C22semidirect
103. #91532C22semidirect
104. #91531C22semidirect
105. #91528C22semidirect
106. C2×Dic3×Dic5C22semidirect
108. #91525C22semidirect
110. #91446C22semidirect
111. #91446C22semidirect
112. #91438C22semidirect
115. #91435C22semidirect
116. #91435C22semidirect
117. #91435C22semidirect
122. #91424C22semidirect
126. #91423C22semidirect
127. #91423C22semidirect
128. #91417C22semidirect
130. #91416C22semidirect
131. #91416C22semidirect
134. #91410C22semidirect
135. #91410C22semidirect
136. #91406C22semidirect
137. #91406C22semidirect
139. #91405C22semidirect
140. #91402C22semidirect
141. C4×#1200C22semidirect
147. #91400C22semidirect
148. #91400C22semidirect
149. #91400C22semidirect
150. #91400C22semidirect
151. #91400C22semidirect
152. D3×#683C22semidirect
153. D3×#683C22semidirect
156. #91398C22semidirect
158. C4×D3×Dic5C22semidirect
159. C4×D3×Dic5C22semidirect
160. C4×D3×Dic5C22semidirect
161. #91379C22semidirect
162. #91378C22semidirect
163. #91373C22semidirect
164. #91372C22semidirect
165. #91372C22semidirect
166. #91371C22semidirect
167. #91371C22semidirect
168. #91365C22semidirect
170. #91352C22semidirect
171. #91351C22semidirect
172. #91350C22semidirect
173. #91346C22semidirect
174. #91345C22semidirect
175. #91344C22semidirect
176. #91344C22semidirect
177. #91343C22semidirect
178. #91342C22semidirect
179. #91342C22semidirect
180. #91341C22semidirect
181. #91341C22semidirect
182. Dic3×Dic10C22semidirect
183. #91329C22semidirect
184. #91328C22semidirect
185. #91325C22semidirect
186. #91325C22semidirect
187. #91324C22semidirect
197. #65984D3semidirect
393. #5654D5semidirect
483. #4072C2×D3semidirect
492. C2×#683C2×D3semidirect
505. #4036C2×D3semidirect
508. #4035C2×D3semidirect
509. #4035C2×D3semidirect
514. #4033C2×D3semidirect
535. #4025C2×D3semidirect
536. #4025C2×D3semidirect
543. #4024C2×D3semidirect
544. #4024C2×D3semidirect
561. #4023C2×D3semidirect
562. #4023C2×D3semidirect
605. C5×#67#41semidirect
651. D3×Dic5#41semidirect
1494. #67#711semidirect
1750. C3×C5#3475semidirect
1903. C5#86827semidirect
1952. C3#10618528semidirect

Maximal subgroups

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

subgroupindex
#117564082
C5×#56542
C3×#659842
#117548592
#117548092
D3×D4×Dic52
#117547352
#117544552
#117544312
#117543462
C2×#914002
#117535842
#117535782
#117535662
#117535432
#117535362
#117534932
#117534602
#117534062
#117529962
#117529902
#117529892
#117529732
#117529432
#117529422
#117529022
#117528422
#117528232
D3×#40232
#117528032
#106185283
#868275