Finite Group Databasebeta

← #11170496

Subgroups — #11170496

Order 768.

3130 conjugacy classes of subgroups.

The subgroup lattice has 1950 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5612C211yesmaximal, characteristic, complemented
2C2×#5610C211yesmaximal, characteristic, complemented
3C3×#2333C211yesmaximal, characteristic, complemented
4#76469C211yesmaximal, characteristic, complemented
5#76464C211yesmaximal, characteristic, complemented
6#76436C211yesmaximal, characteristic, complemented
7#76435C211yesmaximal, characteristic, complemented
8#75851C211yesmaximal, characteristic, complemented
9#75846C211yesmaximal, characteristic, complemented
10#75844C211yesmaximal, characteristic, complemented
11#75527C211yesmaximal, characteristic, complemented
12#75394C211yesmaximal, characteristic, complemented
13#75327C211yesmaximal, characteristic, complemented
14#75323C211yesmaximal, characteristic, complemented
15#75152C211yesmaximal, characteristic, complemented
16#74918C211yesmaximal, characteristic, complemented
17#74910C211yesmaximal, characteristic, complemented
18#74888C211yesmaximal, characteristic, complemented
19#74885C211yesmaximal, characteristic, complemented
20#74884C211yesmaximal, characteristic, complemented
21#74884C211yesmaximal, characteristic, complemented
22#74819C211yesmaximal, characteristic, complemented
23#74796C211yesmaximal, characteristic, complemented
24#74133C211yesmaximal, characteristic, complemented
25#74125C211yesmaximal, characteristic, complemented
26#73602C211yesmaximal, characteristic, complemented
27#73591C211yesmaximal, characteristic, complemented
28#73580C211yesmaximal, characteristic, complemented
29#73577C211yesmaximal, characteristic, complemented
30C22⋊C4×D12C211yesmaximal, characteristic, complemented
31#73569C211yesmaximal, characteristic, complemented
32#43118—31nomaximal, Sylow
33C22×#237C2211yescharacteristic, complemented
34C22×D3×D4C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic, complemented
36C22×#235C2211yescharacteristic, complemented
37C23×D12C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#938C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#936C2211yescharacteristic, complemented
47C2×#935C2211yescharacteristic, complemented
48C2×#930C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53#5612—28no—
54#5610—28no—
55C2×#897C2211yescharacteristic, complemented
56C2×#897C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#893C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic, complemented
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic, complemented
78C2×C4×D12C2211yescharacteristic, complemented
79C2×C4×D12C2211yescharacteristic, complemented
80C2×C4×D12C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic, complemented
82C3×#390C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#387C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#381C2211yescharacteristic, complemented
92C3×C4×C22⋊C4C2211yescharacteristic, complemented
93C3×C4×C22⋊C4C2211yescharacteristic, complemented
94C3×C4×C22⋊C4C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5212C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4961C2211yescharacteristic, complemented
107#4961C2211yescharacteristic, complemented
108#4961C2211yescharacteristic, complemented
109#4961C2211yescharacteristic, complemented
110#4961C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4958C2211yescharacteristic, complemented
123#4958C2211yescharacteristic, complemented
124#4958C2211yescharacteristic, complemented
125#4958C2211yescharacteristic, complemented
126#4955C2211yescharacteristic, complemented
127#4955C2211yescharacteristic, complemented
128#4955C2211yescharacteristic, complemented
129#4955C2211yescharacteristic, complemented
130#4955C2211yescharacteristic, complemented
131#4953C2211yescharacteristic, complemented
132#4953C2211yescharacteristic, complemented
133#4953C2211yescharacteristic, complemented
134#4953C2211yescharacteristic, complemented
135#4950C2211yescharacteristic, complemented
136#4950C2211yescharacteristic, complemented
137#4943C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4939C2211yescharacteristic
143#4939C2211yescharacteristic
144#4939C2211yescharacteristic, complemented
145#4939C2211yescharacteristic, complemented
146#4939C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149#4929C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4674C2211yescharacteristic, complemented
152#4673C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4673C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4661C2211yescharacteristic, complemented
186#4659C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#546—31no—
192#2708—31no—
193#2697—31no—
194#2696—31no—
195#2692—31no—
196#2686—31no—
197#2684—31no—
198#2679—31no—
199#2668—31no—
200#2600—31no—
201#2557—31no—
202#2472—31no—
203#2464—31no—
204#2463—31no—
205#2457—31no—
206#2456—31no—
207#2424—31no—
208#2418—31no—
209#2410—31no—
210#2408—31no—
211#2407—31no—
212#2404—31no—
213#2404—31no—
214#2403—31no—
215#2403—31no—
216#2388—31no—
217#2358—31no—
218D4×C22⋊C4—31no—
219#2333D311yescharacteristic, complemented
220#2321—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×#237—24no—
244C2×#237—42no—
245C2×#237—42no—
246C2×D3×D4—24no—
247C2×D3×D4—24no—
248C2×D3×D4—42no—
249C2×D3×D4—42no—
250C2×D3×D4—42no—
251C2×D3×D4—42no—
252C2×#235—24no—
253C2×#235—42no—
254C2×#235—42no—
255C22×D12—24no—
256C22×D12—42no—
257C22×D12—42no—
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C22×Dic6C2311yescharacteristic
279C3×#121D418yescomplemented
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C42C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307#939—24no—
308#938—24no—
309#938—24no—
310#937—24no—
311#937—24no—
312#937—24no—
313#937—24no—
314#936—24no—
315#935—24no—
316#930—42no—
317C4×#67—24no—
318C4×#67—24no—
319C2×(C2×D3)⋊C4—24no—
320C2×(C2×D3)⋊C4—42no—
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378#897—24no—
379#897—42no—
380#896—24no—
381#895—42no—
382#894—24no—
383#893—24no—
384#885—24no—
385#884—24no—
386#883—24no—
387#883—24no—
388#882—24no—
389#882—24no—
390#882—42no—
391#882—42no—
392#882—42no—
393#882—42no—
394#882—42no—
395#882—42no—
396#67⋊C4—24no—
397D3×C22⋊C4—24no—
398D3×C22⋊C4—24no—
399D3×C22⋊C4—24no—
400C4×D12—42no—
401C4×D12—42no—
402C4×D12—42no—
403C4×D12—42no—
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×D4—31no—
436C23×D4—31no—
437#546—68no—
438#546—68no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#399—31no—
482#398—31no—
483#397—31no—
484#397—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#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#393—31no—
508#393—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#391—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic, complemented
537#388C2×D311yescharacteristic, complemented
538#387—31no—
539#387—31no—
540#387C2×D311yescharacteristic, complemented
541#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic, complemented
565#386C2×D311yescharacteristic, complemented
566#386C2×D311yescharacteristic, complemented
567#386C2×D311yescharacteristic, complemented
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385—31no—
574#381—31no—
575#381C2×D311yescharacteristic, complemented
576#380—31no—
577#380—31no—
578#380—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4C2×D311yescharacteristic, complemented
587C4×C22⋊C4C2×D311yescharacteristic, complemented
588C4×C22⋊C4C2×D311yescharacteristic, complemented
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4C2×D414yes—
633C2×C3×D4C2×D414yes—
634C2×C3×D4C2×D414yescomplemented
635C22×C3×C4—22no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4C2×D414yescomplemented
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—41no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702#237—416no—
703D3×D4—416no—
704D3×D4—416no—
705#235—416no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—416no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12#4114yescomplemented
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×Dic6—22no—
765C2×Dic6—22no—
766C2×Dic6—22no—
767C2×Dic6—41no—
768C2×Dic6—41no—
769C2×Dic6—41no—
770C3×C4⋊C4—41no—
771C3×C4⋊C4—41no—
772C3×C4⋊C4C2×D414yescomplemented
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4C2×D414yes—
784C3×C22⋊C4C2×D414yescomplemented
785C3×C42—41no—
786C3×C42—41no—
787C3×C42—41no—
788C3×C42—41no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
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)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839C4⋊Dic3—22no—
840C4⋊Dic3—22no—
841C4⋊Dic3—22no—
842C4⋊Dic3—41no—
843C4⋊Dic3—41no—
844C4⋊Dic3—41no—
845C4⋊Dic3—41no—
846C4⋊Dic3—41no—
847C4⋊Dic3—41no—
848Dic3⋊C4—22no—
849Dic3⋊C4—22no—
850Dic3⋊C4—22no—
851Dic3⋊C4—22no—
852C4×Dic3—22no—
853C4×Dic3—22no—
854C25—31no—
855C25—31no—
856C25—31no—
857C25—31no—
858C2×#41—64no—
859C2×#41—64no—
860C2×#41—122no—
861C2×#41—122no—
862C2×#41—122no—
863C2×#41—122no—
864C22×Q8—31no—
865C22×Q8—31no—
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—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—64no—
888C22×D4—64no—
889C22×D4—64no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4—122no—
893C22×D4—122no—
894C22×D4—122no—
895C22×D4—122no—
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C22×D4C22×D311yescharacteristic
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×C4C22×D311yescharacteristic
910C23×C4C22×D311yescharacteristic
911C23×C4C22×D311yescharacteristic
912#124—64no—
913#124—64no—
914#123—64no—
915#123—64no—
916#123—64no—
917#123—64no—
918C22⋊Q8—64no—
919C22⋊Q8—64no—
920C22⋊Q8—122no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—122no—
926#121—122no—
927#121D1218yescomplemented
928#120—64no—
929#120—64no—
930#120—64no—
931#120—64no—
932#120—64no—
933#120—64no—
934#120—122no—
935#120—122no—
936#120—122no—
937#120—122no—
938#120—122no—
939#120—122no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947C4×D4—122no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
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—31no—
1014C2×C22⋊C4—64no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42C22×D311yescharacteristic
1034C2×C42C22×D311yescharacteristic
1035C2×C42C22×D311yescharacteristic
1036C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
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×C3C22×D412yes—
1084C23×C3C22×D412yes—
1085C23×C3C22×D412yes—
1086C23×C3C2511yescharacteristic
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3—82no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3C2×#4112yes—
1153C22×D3C2×#4112yes—
1154C22×D3H(5,𝔽2)12yes—
1155C22×D3H(5,𝔽2)12yes—
1156C22×D3H(5,𝔽2)12yes—
1157C3×D4—44no—
1158C3×D4—44no—
1159C3×D4—44no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
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—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—44no—
1192C2×C3×C4—44no—
1193C2×C3×C4—82no—
1194C2×C3×C4C22×D412yes—
1195C2×C3×C4C22×D412yes—
1196C2×C3×C4C22×D412yes—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4C2×#4112yes—
1199#67—28no—
1200#67—44no—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—82no—
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—44no—
1239C2×Dic3—44no—
1240C2×Dic3H(5,𝔽2)12yes—
1241D12—28no—
1242D12—28no—
1243D12—44no—
1244D12—44no—
1245D12—44no—
1246D12—44no—
1247D12—44no—
1248D12—44no—
1249D12—82no—
1250D12—82no—
1251D12—82no—
1252C4×D3—44no—
1253C4×D3—44no—
1254C4×D3—44no—
1255C4×D3—44no—
1256C4×D3—44no—
1257C4×D3—82no—
1258C4×D3—82no—
1259C4×D3—82no—
1260Dic6—44no—
1261Dic6—44no—
1262C24—31no—
1263C24—31no—
1264C24—31no—
1265C24—31no—
1266C24—31no—
1267C24—31no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24—121no—
1283C24—121no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24—121no—
1295C24—121no—
1296C24C23×D311yescharacteristic
1297C24C23×D311yescharacteristic
1298C24C23×D311yescharacteristic
1299#41—1216no—
1300#41—1216no—
1301C2×Q8—62no—
1302C2×Q8—62no—
1303C2×Q8—62no—
1304C2×Q8—121no—
1305C2×Q8—121no—
1306C2×Q8—121no—
1307C2×D4—34no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
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—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—1216no—
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—1216no—
1378C2×D4—1216no—
1379C2×D4C2×D1214yes—
1380C2×D4C2×D1214yes—
1381C2×D4C2×D1214yescomplemented
1382C22×C4—22no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
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—121no—
1416C22×C4—121no—
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×C4C2×D1214yescomplemented
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C22×C4C23×D311yescharacteristic
1436C22×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C22×C4C23×D311yescharacteristic
1440C22×C4C23×D311yescharacteristic
1441C22×C4C23×D311yescharacteristic
1442C22×C4C23×D311yescharacteristic
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—62no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4—121no—
1458C4⋊C4C2×D1214yescomplemented
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
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—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
1497C22⋊C4—62no—
1498C22⋊C4—62no—
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⋊C4—121no—
1518C22⋊C4—121no—
1519C22⋊C4C2×D1214yes—
1520C22⋊C4C2×D1214yescomplemented
1521C42—41no—
1522C42—41no—
1523C42—41no—
1524C42—41no—
1525C42—62no—
1526C42—62no—
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—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
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×C3C23×D411yescharacteristic
1549C22×C3C22×#4111yescharacteristic
1550C22×C3C2×H(5,𝔽2)11yescharacteristic
1551C22×C3C2×H(5,𝔽2)11yescharacteristic
1552C22×C3C2×H(5,𝔽2)11yescharacteristic
1553C22×C3C2×H(5,𝔽2)11yescharacteristic
1554C22×C3#58511yescharacteristic
1555C2×D3—22no—
1556C2×D3—22no—
1557C2×D3—22no—
1558C2×D3—22no—
1559C2×D3—22no—
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—22no—
1563C2×D3—22no—
1564C2×D3—22no—
1565C2×D3—22no—
1566C2×D3—22no—
1567C2×D3—22no—
1568C2×D3—22no—
1569C2×D3—22no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
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—41no—
1597C2×D3—88no—
1598C2×D3—88no—
1599C2×D3—88no—
1600C2×D3—88no—
1601C3×C4—22no—
1602C3×C4—22no—
1603C3×C4—22no—
1604C3×C4—22no—
1605C3×C4—22no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610C3×C4—41no—
1611C3×C4—41no—
1612C3×C4—41no—
1613Dic3—22no—
1614Dic3—41no—
1615Dic3—41no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620Dic3—41no—
1621Dic3—41no—
1622Dic3—41no—
1623C23—21no—
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—32no—
1642C23—32no—
1643C23—32no—
1644C23—32no—
1645C23—32no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—124no—
1684C23—124no—
1685C23—124no—
1686C23—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23—242no—
1695C23—242no—
1696C23—242no—
1697C23—242no—
1698C23—242no—
1699C23—242no—
1700C23—242no—
1701C23—242no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23—242no—
1710C23—242no—
1711C23C22×D1212yes—
1712C23C22×D1212yes—
1713C23C22×D1212yes—
1714C23C24×D311yescharacteristic
1715Q8—124no—
1716Q8—124no—
1717D4—44no—
1718D4—44no—
1719D4—44no—
1720D4—68no—
1721D4—68no—
1722D4—68no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—124no—
1735D4—124no—
1736D4—124no—
1737D4—242no—
1738D4—242no—
1739D4—242no—
1740D4—242no—
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—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—32no—
1773C2×C4—44no—
1774C2×C4—44no—
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—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—82no—
1805C2×C4—124no—
1806C2×C4—124no—
1807C2×C4—124no—
1808C2×C4—124no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4—124no—
1812C2×C4—242no—
1813C2×C4—242no—
1814C2×C4—242no—
1815C2×C4C22×D1212yes—
1816C2×C4C22×D1212yes—
1817C2×C4C22×D1212yes—
1818C2×C4C22×D1212yes—
1819C2×C4D3×#4112yes—
1820C2×C3—42no—
1821C2×C3—42no—
1822C2×C3—42no—
1823C2×C3D4×#4111yescharacteristic
1824C2×C3#348411yescharacteristic
1825C2×C3#348411yescharacteristic
1826C2×C3#349011yescharacteristic
1827C2×C3#351911yescharacteristic
1828C2×C3#353411yescharacteristic
1829C2×C3#355811yescharacteristic
1830D3—42no—
1831D3—42no—
1832D3—42no—
1833D3—42no—
1834D3—42no—
1835D3—81no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
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—62no—
1858C22—62no—
1859C22—62no—
1860C22—62no—
1861C22—62no—
1862C22—62no—
1863C22—62no—
1864C22—62no—
1865C22—62no—
1866C22—62no—
1867C22—62no—
1868C22—62no—
1869C22—62no—
1870C22—62no—
1871C22—62no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—248no—
1900C22—248no—
1901C22—248no—
1902C22—248no—
1903C22C23×D1211yescharacteristic
1904C22C2×D3×#4111yescharacteristic
1905C22#596411yescharacteristic
1906C22D3×H(5,𝔽2)11yescharacteristic
1907C22D3×H(5,𝔽2)11yescharacteristic
1908C22D3×H(5,𝔽2)11yescharacteristic
1909C22D3×H(5,𝔽2)11yescharacteristic
1910C4—22no—
1911C4—22no—
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—62no—
1923C4—121no—
1924C4—121no—
1925C4—121no—
1926C4—121no—
1927C4—121no—
1928C4—121no—
1929C4—121no—
1930C4—121no—
1931C4—121no—
1932C3#4311811yescharacteristic, complemented, Sylow
1933C2—42no—
1934C2—42no—
1935C2—42no—
1936C2—122no—
1937C2—122no—
1938C2—122no—
1939C2—122no—
1940C2—122no—
1941C2—241no—
1942C2#41×D1211yescharacteristic
1943C2#8586711yescharacteristic
1944C2#8586711yescharacteristic
1945C2#8641411yescharacteristic
1946C2#8642411yescharacteristic
1947C2#8648811yescharacteristic
1948C2#8649011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2333C2
hypercenter#2333D3
hypocenterC3#43118
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
1. C2×#5612C2semidirect
2. C2×#5610C2semidirect
3. C3×#2333C2semidirect
4. #76469C2semidirect
5. #76464C2semidirect
6. #76436C2semidirect
7. #76435C2semidirect
8. #75851C2semidirect
9. #75846C2semidirect
10. #75844C2semidirect
11. #75527C2semidirect
12. #75394C2semidirect
13. #75327C2semidirect
14. #75323C2semidirect
15. #75152C2semidirect
16. #74918C2semidirect
17. #74910C2semidirect
18. #74888C2semidirect
19. #74885C2semidirect
20. #74884C2semidirect
21. #74884C2semidirect
22. #74819C2semidirect
23. #74796C2semidirect
24. #74133C2semidirect
25. #74125C2semidirect
26. #73602C2semidirect
27. #73591C2semidirect
28. #73580C2semidirect
29. #73577C2semidirect
30. C22⋊C4×D12C2semidirect
31. #73569C2semidirect
33. C22×#237C22semidirect
34. C22×D3×D4C22semidirect
35. C22×D3×D4C22semidirect
36. C22×#235C22semidirect
41. C2×#938C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
46. C2×#936C22semidirect
47. C2×#935C22semidirect
48. C2×#930C22semidirect
49. C2×C4×#67C22semidirect
50. C2×C4×#67C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
55. C2×#897C22semidirect
56. C2×#897C22semidirect
57. C2×#896C22semidirect
58. C2×#895C22semidirect
59. C2×#894C22semidirect
60. C2×#893C22semidirect
61. C2×#885C22semidirect
62. C2×#884C22semidirect
63. C2×#883C22semidirect
64. C2×#883C22semidirect
69. C2×#882C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
73. C2×#67⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×C4×D12C22semidirect
78. C2×C4×D12C22semidirect
79. C2×C4×D12C22semidirect
80. C2×C4×D12C22semidirect
81. C3×#390C22semidirect
82. C3×#390C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
86. C3×#387C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#381C22semidirect
92. C3×C4×C22⋊C4C22semidirect
93. C3×C4×C22⋊C4C22semidirect
94. C3×C4×C22⋊C4C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5212C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4987C22semidirect
105. #4987C22semidirect
106. #4961C22semidirect
107. #4961C22semidirect
108. #4961C22semidirect
109. #4961C22semidirect
110. #4961C22semidirect
111. #4961C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4958C22semidirect
123. #4958C22semidirect
124. #4958C22semidirect
125. #4958C22semidirect
126. #4955C22semidirect
127. #4955C22semidirect
128. #4955C22semidirect
129. #4955C22semidirect
130. #4955C22semidirect
131. #4953C22semidirect
132. #4953C22semidirect
133. #4953C22semidirect
134. #4953C22semidirect
135. #4950C22semidirect
136. #4950C22semidirect
137. #4943C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. #4940C22semidirect
141. #4940C22semidirect
144. #4939C22semidirect
145. #4939C22semidirect
146. #4939C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. #4929C22semidirect
150. #4677C22semidirect
151. #4674C22semidirect
152. #4673C22semidirect
153. #4673C22semidirect
154. #4673C22semidirect
155. #4673C22semidirect
156. #4673C22semidirect
157. #4672C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4671C22semidirect
163. #4670C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
166. #4670C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4661C22semidirect
186. #4659C22semidirect
187. #4656C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
219. #2333D3semidirect
279. C3×#121D4semidirect
526. #390C2×D3semidirect
527. #390C2×D3semidirect
536. #388C2×D3semidirect
537. #388C2×D3semidirect
540. #387C2×D3semidirect
541. #387C2×D3semidirect
564. #386C2×D3semidirect
565. #386C2×D3semidirect
566. #386C2×D3semidirect
567. #386C2×D3semidirect
575. #381C2×D3semidirect
586. C4×C22⋊C4C2×D3semidirect
587. C4×C22⋊C4C2×D3semidirect
588. C4×C22⋊C4C2×D3semidirect
634. C2×C3×D4C2×D4semidirect
643. C22×C3×C4C2×D4semidirect
739. C2×D12#41semidirect
772. C3×C4⋊C4C2×D4semidirect
784. C3×C22⋊C4C2×D4semidirect
927. #121D12semidirect
1381. C2×D4C2×D12semidirect
1430. C22×C4C2×D12semidirect
1458. C4⋊C4C2×D12semidirect
1520. C22⋊C4C2×D12semidirect
1932. C3#43118semidirect

Maximal subgroups

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

subgroupindex
C2×#56122
C2×#56102
C3×#23332
#764692
#764642
#764362
#764352
#758512
#758462
#758442
#755272
#753942
#753272
#753232
#751522
#749182
#749102
#748882
#748852
#748842
#748192
#747962
#741332
#741252
#736022
#735912
#735802
#735772
C22⋊C4×D122
#735692
#431183