Finite Group Databasebeta

← #11042406

Subgroups — #11042406

Order 768.

3124 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5591C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2433C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5C2×#5220C211yesmaximal, characteristic, complemented
6#83190C211yesmaximal, characteristic, complemented
7#83187C211yesmaximal, characteristic, complemented
8#83182C211yesmaximal, characteristic, complemented
9#83172C211yesmaximal, characteristic, complemented
10#82670C211yesmaximal, characteristic, complemented
11#82651C211yesmaximal, characteristic, complemented
12#82606C211yesmaximal, characteristic, complemented
13#82601C211yesmaximal, characteristic, complemented
14#82591C211yesmaximal, characteristic, complemented
15#82590C211yesmaximal, characteristic, complemented
16#82589C211yesmaximal, characteristic, complemented
17#82581C211yesmaximal, characteristic, complemented
18#76772C211yesmaximal, characteristic, complemented
19#76754C211yesmaximal, characteristic, complemented
20#76721C211yesmaximal, characteristic, complemented
21#76719C211yesmaximal, characteristic, complemented
22#76714C211yesmaximal, characteristic, complemented
23#76703C211yesmaximal, characteristic, complemented
24#76700C211yesmaximal, characteristic, complemented
25#76692C211yesmaximal, characteristic, complemented
26#76429C211yesmaximal, characteristic, complemented
27#76390C211yesmaximal, characteristic, complemented
28#76382C211yesmaximal, characteristic, complemented
29#76372C211yesmaximal, characteristic, complemented
30#73504C211yesmaximal, characteristic, complemented
31#73462C211yesmaximal, characteristic, complemented
32#38358—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C24×Dic3C2211yescharacteristic, complemented
36C22×#237C2211yescharacteristic
37C22×#237C2211yescharacteristic, complemented
38C2×C3×#127C2211yescharacteristic
39C2×C3×#127C2211yescharacteristic, complemented
40C2×C3×#121C2211yescharacteristic, complemented
41C2×C3×#120C2211yescharacteristic
42C2×C3×#120C2211yescharacteristic
43C2×C3×#120C2211yescharacteristic, complemented
44C2×C3×#120C2211yescharacteristic, complemented
45C2×#953C2211yescharacteristic
46C2×#953C2211yescharacteristic
47C22×#217C2211yescharacteristic
48C22×#217C2211yescharacteristic
49C22×#217C2211yescharacteristic, complemented
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#938C2211yescharacteristic, complemented
58C2×#937C2211yescharacteristic
59C2×#937C2211yescharacteristic
60C2×#937C2211yescharacteristic, complemented
61C2×#937C2211yescharacteristic, complemented
62C2×#936C2211yescharacteristic, complemented
63C2×#935C2211yescharacteristic, complemented
64C2×#935C2211yescharacteristic, complemented
65C2×D4×Dic3C2211yescharacteristic, complemented
66C2×D4×Dic3C2211yescharacteristic, complemented
67C2×D4×Dic3C2211yescharacteristic, complemented
68#5591—28no—
69#5586—28no—
70C2×#886C2211yescharacteristic
71C2×#886C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic, complemented
73C2×#883C2211yescharacteristic, complemented
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic, complemented
80C2×#877C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic
82C3×#392C2211yescharacteristic
83C3×#392C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic, complemented
85C3×#390C2211yescharacteristic
86C3×#390C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic, complemented
88#5247C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5222C2211yescharacteristic, complemented
104#5222C2211yescharacteristic, complemented
105#5221C2211yescharacteristic, complemented
106#5221C2211yescharacteristic, complemented
107#5221C2211yescharacteristic, complemented
108#5220C2211yescharacteristic
109#5220C2211yescharacteristic
110#5220C2211yescharacteristic
111#5220C2211yescharacteristic
112#5220C2211yescharacteristic
113#5220C2211yescharacteristic
114#5220C2211yescharacteristic, complemented
115#5220C2211yescharacteristic, complemented
116#5220C2211yescharacteristic, complemented
117#5220C2211yescharacteristic, complemented
118#5220C2211yescharacteristic, complemented
119#5220C2211yescharacteristic, complemented
120#5220C2211yescharacteristic, complemented
121#5220C2211yescharacteristic, complemented
122#5220C2211yescharacteristic, complemented
123#5220C2211yescharacteristic, complemented
124#5220C2211yescharacteristic, complemented
125#5220C2211yescharacteristic, complemented
126#5220C2211yescharacteristic, complemented
127#5220C2211yescharacteristic, complemented
128#5220C2211yescharacteristic, complemented
129#5213C2211yescharacteristic
130#5213C2211yescharacteristic
131C2×C3⋊#95C2211yescharacteristic, complemented
132C2×C3⋊#95C2211yescharacteristic, complemented
133#4990C2211yescharacteristic, complemented
134#4989C2211yescharacteristic, complemented
135#4982C2211yescharacteristic, complemented
136#4979C2211yescharacteristic, complemented
137#4961C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic
143#4958C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4956C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4953C2211yescharacteristic, complemented
153#4952C2211yescharacteristic, complemented
154#4949C2211yescharacteristic, complemented
155#4949C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4947C2211yescharacteristic, complemented
161#4947C2211yescharacteristic, complemented
162#4946C2211yescharacteristic, complemented
163#4946C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4943C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4940C2211yescharacteristic, complemented
175#4940C2211yescharacteristic, complemented
176#4940C2211yescharacteristic, complemented
177C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
178#4936C2211yescharacteristic, complemented
179#4933C2211yescharacteristic, complemented
180#4932C2211yescharacteristic, complemented
181#4929C2211yescharacteristic, complemented
182#4674C2211yescharacteristic, complemented
183#4673C2211yescharacteristic, complemented
184#4669C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4659C2211yescharacteristic, complemented
187#4659C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4651C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#525—31no—
192#2847—31no—
193#2706—31no—
194#2703—31no—
195#2696—31no—
196#2692—31no—
197#2678—31no—
198#2676—31no—
199#2673—31no—
200#2669—31no—
201#2635—31no—
202#2631—31no—
203#2610—31no—
204#2598—31no—
205#2543—31no—
206#2539—31no—
207#2534—31no—
208#2488—31no—
209#2472—31no—
210#2433D311yescharacteristic, complemented
211#2431—31no—
212#2430—31no—
213#2410—31no—
214#2404—31no—
215#2404—31no—
216#2403—31no—
217#2353—31no—
218#2328—31no—
219#2321—31no—
220C2×#386—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C22×#67—24no—
244C22×#67—42no—
245C22×#67—42no—
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C23×Dic3—24no—
259C23×Dic3—42no—
260C23×Dic3—42no—
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C23×Dic3C2311yescharacteristic
267C23×Dic3C2311yescharacteristic
268C23×Dic3C2311yescharacteristic
269C23×Dic3C2311yescharacteristic
270C23×Dic3C2311yescharacteristic
271C23×Dic3C2311yescharacteristic
272C2×#237—24no—
273C2×#237—24no—
274C2×#237—42no—
275C2×#237—42no—
276C2×#237—42no—
277C2×#237—42no—
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×Dic6C2311yescharacteristic
281C22×Dic6C2311yescharacteristic
282C3×#127—24no—
283C3×#127—42no—
284C3×#121—42no—
285C3×#120—24no—
286C3×#120—24no—
287C3×#120—42no—
288C3×#120—42no—
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C42C2311yescharacteristic
303C2×C3×C42C2311yescharacteristic
304#953—24no—
305#953—42no—
306C2×#217—24no—
307C2×#217—42no—
308C2×#217—42no—
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338C2×#217C2311yescharacteristic
339C2×#217C2311yescharacteristic
340C2×#217C2311yescharacteristic
341#939—24no—
342#939—24no—
343#939—24no—
344#939—24no—
345#939—42no—
346#939—42no—
347#939—42no—
348#938—24no—
349#937—24no—
350#937—24no—
351#937—42no—
352#937—42no—
353#936—42no—
354#935—24no—
355#935—42no—
356D4×Dic3—24no—
357D4×Dic3—24no—
358D4×Dic3—24no—
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391#886—24no—
392#886—24no—
393#885—24no—
394#883—24no—
395#67⋊C4—24no—
396#67⋊C4D418yescomplemented
397D3×C22⋊C4—24no—
398#878—24no—
399#878—24no—
400#878—24no—
401#877—24no—
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C22×#41—31no—
433C22×#41—31no—
434C23×D4—31no—
435C23×D4C2×D311yescharacteristic
436C24×C4—31no—
437#546—68no—
438C2×#127C2×D311yescharacteristic
439C2×#127C2×D311yescharacteristic, complemented
440C2×#124—31no—
441C2×#124—31no—
442#525—68no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121C2×D311yescharacteristic, complemented
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120C2×D311yescharacteristic
467C2×#120C2×D311yescharacteristic
468C2×#120C2×D311yescharacteristic, complemented
469C2×#120C2×D311yescharacteristic, complemented
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×#117—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#400—31no—
482#399—31no—
483#399—31no—
484#398—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#393—31no—
500#393—31no—
501#393—31no—
502#393—31no—
503#393—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392C2×D311yescharacteristic
517#392C2×D311yescharacteristic
518#392C2×D311yescharacteristic, complemented
519#392C2×D311yescharacteristic, complemented
520#391—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390C2×D311yescharacteristic
527#390C2×D311yescharacteristic, complemented
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#385—31no—
572#385—31no—
573#385—31no—
574#383—31no—
575#382—31no—
576#381—31no—
577#381—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#379—31no—
582#379—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4C2×D311yescharacteristic, complemented
586#376—31no—
587C2×#95—31no—
588C2×#95—31no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—22no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C24×C3C2411yescharacteristic
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—22no—
638C2×C3×D4—22no—
639C2×C3×D4—22no—
640C2×C3×D4—22no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—41no—
658C2×C3×D4—41no—
659C2×C3×D4—41no—
660C2×C3×D4—41no—
661C2×C3×D4—41no—
662C2×C3×D4—41no—
663C2×C3×D4—416no—
664C2×C3×D4#4114yescomplemented
665C22×C3×C4—22no—
666C22×C3×C4—22no—
667C22×C3×C4—41no—
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C22×C3×C4C2411yescharacteristic
673C22×C3×C4C2411yescharacteristic
674C22×C3×C4C2411yescharacteristic
675C22×C3×C4C2411yescharacteristic
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—416no—
712C2×#67C2×D414yes—
713C22×Dic3—22no—
714C22×Dic3—22no—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—22no—
718C22×Dic3—22no—
719C22×Dic3—22no—
720C22×Dic3—22no—
721C22×Dic3—22no—
722C22×Dic3—22no—
723C22×Dic3—22no—
724C22×Dic3—22no—
725C22×Dic3—22no—
726C22×Dic3—22no—
727C22×Dic3—22no—
728C22×Dic3—22no—
729C22×Dic3—22no—
730C22×Dic3—41no—
731C22×Dic3—41no—
732C22×Dic3—41no—
733C22×Dic3—41no—
734C22×Dic3—41no—
735C22×Dic3—41no—
736C22×Dic3—41no—
737C22×Dic3—41no—
738C22×Dic3—41no—
739C22×Dic3—41no—
740C22×Dic3—41no—
741C22×Dic3—41no—
742C22×Dic3—41no—
743C22×Dic3—41no—
744C22×Dic3—41no—
745C22×Dic3—416no—
746C22×Dic3C2×D414yes—
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754C22×Dic3C2411yescharacteristic
755C22×Dic3C2411yescharacteristic
756C22×Dic3C2411yescharacteristic
757C22×Dic3C2411yescharacteristic
758C22×Dic3C2411yescharacteristic
759C22×Dic3C2411yescharacteristic
760C22×Dic3C2411yescharacteristic
761#237—416no—
762#237—416no—
763C2×C4×D3—22no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3—41no—
768C2×C4×D3C2×D414yescomplemented
769C2×Dic6—22no—
770C2×Dic6—22no—
771C2×Dic6—22no—
772C2×Dic6—41no—
773C2×Dic6—41no—
774C2×Dic6—41no—
775C3×C4⋊C4—41no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4C2×D414yes—
788C3×C42—22no—
789C3×C42—41no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—22no—
800#217—22no—
801#217—22no—
802#217—22no—
803#217—22no—
804#217—22no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217—41no—
809#217—41no—
810#217—41no—
811#217—41no—
812#217—41no—
813#217—41no—
814#217—41no—
815#217—41no—
816#217—41no—
817#217—41no—
818#217—41no—
819#217—41no—
820#217—41no—
821#217—41no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4C2×D414yescomplemented
836C4⋊Dic3—22no—
837C4⋊Dic3—22no—
838C4⋊Dic3—22no—
839C4⋊Dic3—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849Dic3⋊C4C2×D414yescomplemented
850C4×Dic3—22no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C4×Dic3C2×D414yescomplemented
854C25—31no—
855C25C22×D311yescharacteristic
856C25C22×D311yescharacteristic
857C2×#41—64no—
858C2×#41—64no—
859C2×#41—122no—
860C2×#41—122no—
861C2×#41—122no—
862C2×#41—122no—
863C22×Q8—31no—
864C22×Q8—31no—
865C22×D4—24no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—42no—
879C22×D4—42no—
880C22×D4—64no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
887C22×D4C22×D311yescharacteristic
888C22×D4C22×D311yescharacteristic
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C22×D4C22×D311yescharacteristic
895C22×D4C22×D311yescharacteristic
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—31no—
908C23×C4—31no—
909C23×C4—31no—
910C23×C4—31no—
911C23×C4—64no—
912C23×C4—122no—
913C23×C4—122no—
914C23×C4C22×D311yescharacteristic
915#127—24no—
916#127—42no—
917#124—64no—
918#124—122no—
919#123—64no—
920#123—64no—
921#123—64no—
922#123—64no—
923#123—122no—
924C22⋊Q8—64no—
925C22⋊Q8—64no—
926C22⋊Q8—64no—
927#121—42no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—122no—
934#121—122no—
935#121—122no—
936#120—24no—
937#120—24no—
938#120—42no—
939#120—42no—
940#120—64no—
941#120—64no—
942#120—64no—
943#120—122no—
944#120—122no—
945#120—122no—
946C4×D4—38no—
947C4×D4—64no—
948C4×D4—64no—
949C4×D4—64no—
950C4×D4—64no—
951#117—64no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—64no—
1014C2×C22⋊C4—64no—
1015C2×C22⋊C4—122no—
1016C2×C22⋊C4—122no—
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42C22×D311yescharacteristic
1034C2×C42C22×D311yescharacteristic
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—28no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—44no—
1110C23×C3—44no—
1111C23×C3—44no—
1112C23×C3—44no—
1113C23×C3—44no—
1114C23×C3—44no—
1115C23×C3—44no—
1116C23×C3—44no—
1117C23×C3—44no—
1118C23×C3—44no—
1119C23×C3—82no—
1120C23×C3—82no—
1121C23×C3—82no—
1122C23×C3C22×D412yes—
1123C23×C3C2×#4112yes—
1124C23×C3C2×#4112yes—
1125C23×C3H(5,𝔽2)12yes—
1126C23×C3H(5,𝔽2)12yes—
1127C23×C3H(5,𝔽2)12yes—
1128C23×C3C2511yescharacteristic
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3C22×D412yes—
1150C3×D4—44no—
1151C3×D4—44no—
1152C3×D4—44no—
1153C3×D4—44no—
1154C3×D4—44no—
1155C3×D4—44no—
1156C3×D4—44no—
1157C3×D4—44no—
1158C3×D4—44no—
1159C3×D4—82no—
1160C3×D4—82no—
1161C3×D4—82no—
1162C3×D4—82no—
1163C3×D4—82no—
1164C3×D4—82no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—44no—
1187C2×C3×C4C22×D412yes—
1188C2×C3×C4C22×D412yes—
1189C2×C3×C4C2×#4112yes—
1190#67—28no—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—44no—
1195#67—44no—
1196#67—44no—
1197#67—44no—
1198#67—82no—
1199#67—82no—
1200#67—82no—
1201#67—82no—
1202C2×Dic3—28no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—44no—
1242C2×Dic3—44no—
1243C2×Dic3—44no—
1244C2×Dic3—44no—
1245C2×Dic3—44no—
1246C2×Dic3—44no—
1247C2×Dic3—44no—
1248C2×Dic3—44no—
1249C2×Dic3—44no—
1250C2×Dic3—82no—
1251C2×Dic3C22×D412yes—
1252C2×Dic3C22×D412yes—
1253C2×Dic3C22×D412yes—
1254C2×Dic3H(5,𝔽2)12yes—
1255C4×D3—44no—
1256C4×D3—44no—
1257Dic6—44no—
1258Dic6—44no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—31no—
1269C24—31no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—62no—
1276C24—62no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24C23×D311yescharacteristic
1283C24C23×D311yescharacteristic
1284C24C23×D311yescharacteristic
1285C24C23×D311yescharacteristic
1286C24C23×D311yescharacteristic
1287C24C23×D311yescharacteristic
1288C24C23×D311yescharacteristic
1289#41—1216no—
1290#41—1216no—
1291C2×Q8—62no—
1292C2×Q8—62no—
1293C2×Q8—62no—
1294C2×Q8—121no—
1295C2×Q8—121no—
1296C2×Q8—121no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—34no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—416no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—1216no—
1379C2×D4#23714yescomplemented
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—34no—
1387C22×C4—34no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—41no—
1399C22×C4—62no—
1400C22×C4—62no—
1401C22×C4—62no—
1402C22×C4—62no—
1403C22×C4—62no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—62no—
1410C22×C4—62no—
1411C22×C4—62no—
1412C22×C4—62no—
1413C22×C4—62no—
1414C22×C4—62no—
1415C22×C4—62no—
1416C22×C4—62no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4—121no—
1428C22×C4—121no—
1429C22×C4—121no—
1430C22×C4—121no—
1431C22×C4—121no—
1432C22×C4—121no—
1433C22×C4—121no—
1434C22×C4—121no—
1435C22×C4—121no—
1436C22×C4—1216no—
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C22×C4C23×D311yescharacteristic
1440C22×C4C23×D311yescharacteristic
1441C22×C4C23×D311yescharacteristic
1442C22×C4C23×D311yescharacteristic
1443C22×C4C23×D311yescharacteristic
1444C22×C4C23×D311yescharacteristic
1445C4⋊C4—34no—
1446C4⋊C4—41no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—62no—
1452C4⋊C4—62no—
1453C4⋊C4—62no—
1454C4⋊C4—62no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4—121no—
1458C4⋊C4—121no—
1459C4⋊C4—121no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—34no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4D3×D414yes—
1518C42—22no—
1519C42—34no—
1520C42—41no—
1521C42—62no—
1522C42—121no—
1523C42—121no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—22no—
1539C22×C3—416no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3—41no—
1555C22×C3—41no—
1556C22×C3—41no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—41no—
1562C22×C3—41no—
1563C22×C3—41no—
1564C22×C3—41no—
1565C22×C3—41no—
1566C22×C3—41no—
1567C22×C3—41no—
1568C22×C3—41no—
1569C22×C3—41no—
1570C22×C3—41no—
1571C22×C3—41no—
1572C22×C3—41no—
1573C22×C3—88no—
1574C22×C3#53514yes—
1575C22×C3C23×D411yescharacteristic
1576C22×C3C22×#4111yescharacteristic
1577C22×C3C2×H(5,𝔽2)11yescharacteristic
1578C22×C3C2×H(5,𝔽2)11yescharacteristic
1579C22×C3C2×H(5,𝔽2)11yescharacteristic
1580C22×C3C2×H(5,𝔽2)11yescharacteristic
1581C22×C3#58511yescharacteristic
1582C2×D3—22no—
1583C2×D3—22no—
1584C2×D3—22no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—88no—
1597C3×C4—22no—
1598C3×C4—22no—
1599C3×C4—22no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4—41no—
1604C3×C4—41no—
1605Dic3—22no—
1606Dic3—22no—
1607Dic3—22no—
1608Dic3—22no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615Dic3—41no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—28no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—32no—
1664C23—44no—
1665C23—44no—
1666C23—44no—
1667C23—44no—
1668C23—44no—
1669C23—44no—
1670C23—44no—
1671C23—44no—
1672C23—44no—
1673C23—44no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—61no—
1687C23—82no—
1688C23—82no—
1689C23—82no—
1690C23—124no—
1691C23—124no—
1692C23—242no—
1693C23—242no—
1694C23—242no—
1695C23—242no—
1696C23—242no—
1697C23C2×D3×D412yes—
1698C23C2×#23712yes—
1699C23C2×#23712yes—
1700C23#100412yes—
1701C23#100412yes—
1702C23#100412yes—
1703C23C24×D311yescharacteristic
1704Q8—124no—
1705Q8—124no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—44no—
1710D4—44no—
1711D4—44no—
1712D4—44no—
1713D4—44no—
1714D4—44no—
1715D4—68no—
1716D4—82no—
1717D4—82no—
1718D4—82no—
1719D4—82no—
1720D4—82no—
1721D4—82no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—242no—
1730D4—242no—
1731D4—242no—
1732D4—242no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—32no—
1755C2×C4—32no—
1756C2×C4—32no—
1757C2×C4—32no—
1758C2×C4—44no—
1759C2×C4—68no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—124no—
1799C2×C4—124no—
1800C2×C4—124no—
1801C2×C4—124no—
1802C2×C4—124no—
1803C2×C4—124no—
1804C2×C4—124no—
1805C2×C4—124no—
1806C2×C4—124no—
1807C2×C4—124no—
1808C2×C4—124no—
1809C2×C4—242no—
1810C2×C4C2×D3×D412yes—
1811C2×C4C2×D3×D412yes—
1812C2×C4C2×#23712yes—
1813C2×C3—24no—
1814C2×C3—42no—
1815C2×C3—42no—
1816C2×C3—42no—
1817C2×C3—81no—
1818C2×C3—81no—
1819C2×C3—81no—
1820C2×C3C2×#53511yescharacteristic
1821C2×C3D4×#4111yescharacteristic
1822C2×C3#348411yescharacteristic
1823C2×C3#349011yescharacteristic
1824C2×C3#351911yescharacteristic
1825C2×C3#353411yescharacteristic
1826C2×C3#354211yescharacteristic
1827D3—42no—
1828D3—81no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—416no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—62no—
1879C22—62no—
1880C22—62no—
1881C22—88no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—248no—
1894C22#571514yes—
1895C22C22×D3×D411yescharacteristic
1896C22C22×#23711yescharacteristic
1897C22C2×#100411yescharacteristic
1898C22C2×#100411yescharacteristic
1899C22C2×#100411yescharacteristic
1900C22D3×H(5,𝔽2)11yescharacteristic
1901C22#596611yescharacteristic
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—62no—
1911C4—62no—
1912C4—62no—
1913C4—62no—
1914C4—121no—
1915C4—121no—
1916C4—121no—
1917C4—121no—
1918C4—121no—
1919C4—121no—
1920C4—121no—
1921C4—121no—
1922C4—121no—
1923C4—121no—
1924C3#3835811yescharacteristic, complemented, Sylow
1925C2—24no—
1926C2—42no—
1927C2—42no—
1928C2—42no—
1929C2—81no—
1930C2—81no—
1931C2—81no—
1932C2—122no—
1933C2—241no—
1934C2#8591311yescharacteristic
1935C2C2×#571511yescharacteristic
1936C2#8632311yescharacteristic
1937C2D4×#23711yescharacteristic
1938C2#8661111yescharacteristic
1939C2#8661311yescharacteristic
1940C2#8662011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2433C2
hypercenter#2433D3
hypocenterC3#38358
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2433

Complements

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

NH ≅ G/Ntype
1. C2×#5591C2semidirect
2. C2×#5586C2semidirect
3. C3×#2433C2semidirect
4. #84052C2semidirect
5. C2×#5220C2semidirect
6. #83190C2semidirect
7. #83187C2semidirect
8. #83182C2semidirect
9. #83172C2semidirect
10. #82670C2semidirect
11. #82651C2semidirect
12. #82606C2semidirect
13. #82601C2semidirect
14. #82591C2semidirect
15. #82590C2semidirect
16. #82589C2semidirect
17. #82581C2semidirect
18. #76772C2semidirect
19. #76754C2semidirect
20. #76721C2semidirect
21. #76719C2semidirect
22. #76714C2semidirect
23. #76703C2semidirect
24. #76700C2semidirect
25. #76692C2semidirect
26. #76429C2semidirect
27. #76390C2semidirect
28. #76382C2semidirect
29. #76372C2semidirect
30. #73504C2semidirect
31. #73462C2semidirect
35. C24×Dic3C22semidirect
37. C22×#237C22semidirect
39. C2×C3×#127C22semidirect
40. C2×C3×#121C22semidirect
43. C2×C3×#120C22semidirect
44. C2×C3×#120C22semidirect
49. C22×#217C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
57. C2×#938C22semidirect
60. C2×#937C22semidirect
61. C2×#937C22semidirect
62. C2×#936C22semidirect
63. C2×#935C22semidirect
64. C2×#935C22semidirect
65. C2×D4×Dic3C22semidirect
66. C2×D4×Dic3C22semidirect
67. C2×D4×Dic3C22semidirect
71. C2×#886C22semidirect
72. C2×#885C22semidirect
73. C2×#883C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#878C22semidirect
78. C2×#878C22semidirect
79. C2×#878C22semidirect
80. C2×#877C22semidirect
83. C3×#392C22semidirect
84. C3×#392C22semidirect
86. C3×#390C22semidirect
87. C3×C4×C22⋊C4C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
103. #5222C22semidirect
104. #5222C22semidirect
105. #5221C22semidirect
106. #5221C22semidirect
107. #5221C22semidirect
114. #5220C22semidirect
115. #5220C22semidirect
116. #5220C22semidirect
117. #5220C22semidirect
118. #5220C22semidirect
119. #5220C22semidirect
120. #5220C22semidirect
121. #5220C22semidirect
122. #5220C22semidirect
123. #5220C22semidirect
124. #5220C22semidirect
125. #5220C22semidirect
126. #5220C22semidirect
127. #5220C22semidirect
128. #5220C22semidirect
131. C2×C3⋊#95C22semidirect
132. C2×C3⋊#95C22semidirect
133. #4990C22semidirect
134. #4989C22semidirect
135. #4982C22semidirect
136. #4979C22semidirect
137. #4961C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
143. #4958C22semidirect
144. #4958C22semidirect
145. #4958C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4956C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4955C22semidirect
152. #4953C22semidirect
153. #4952C22semidirect
154. #4949C22semidirect
155. #4949C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4947C22semidirect
159. #4947C22semidirect
160. #4947C22semidirect
161. #4947C22semidirect
162. #4946C22semidirect
163. #4946C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4943C22semidirect
170. #4942C22semidirect
171. #4942C22semidirect
172. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
174. #4940C22semidirect
175. #4940C22semidirect
176. #4940C22semidirect
177. C4×(C2×D3)⋊C4C22semidirect
178. #4936C22semidirect
179. #4933C22semidirect
180. #4932C22semidirect
181. #4929C22semidirect
182. #4674C22semidirect
183. #4673C22semidirect
184. #4669C22semidirect
185. #4664C22semidirect
186. #4659C22semidirect
187. #4659C22semidirect
188. #4652C22semidirect
189. #4651C22semidirect
210. #2433D3semidirect
396. #67⋊C4D4semidirect
439. C2×#127C2×D3semidirect
459. C2×#121C2×D3semidirect
468. C2×#120C2×D3semidirect
469. C2×#120C2×D3semidirect
518. #392C2×D3semidirect
519. #392C2×D3semidirect
527. #390C2×D3semidirect
585. C4×C22⋊C4C2×D3semidirect
664. C2×C3×D4#41semidirect
768. C2×C4×D3C2×D4semidirect
835. (C2×D3)⋊C4C2×D4semidirect
849. Dic3⋊C4C2×D4semidirect
853. C4×Dic3C2×D4semidirect
1379. C2×D4#237semidirect
1924. C3#38358semidirect

Maximal subgroups

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

subgroupindex
C2×#55912
C2×#55862
C3×#24332
#840522
C2×#52202
#831902
#831872
#831822
#831722
#826702
#826512
#826062
#826012
#825912
#825902
#825892
#825812
#767722
#767542
#767212
#767192
#767142
#767032
#767002
#766922
#764292
#763902
#763822
#763722
#735042
#734622
#383583