Finite Group Databasebeta

← #25303676

Subgroups — #25303676

Order 11008.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583482C211yesmaximal, characteristic, complemented
2#19142887C211yesmaximal, characteristic, complemented
3#19142877C211yesmaximal, characteristic, complemented
4#19141264C211yesmaximal, characteristic, complemented
5#19141219C211yesmaximal, characteristic, complemented
6#19141189C211yesmaximal, characteristic, complemented
7#19141178C211yesmaximal, characteristic, complemented
8#19141010C211yesmaximal, characteristic, complemented
9#19140960C211yesmaximal, characteristic, complemented
10#19140950C211yesmaximal, characteristic, complemented
11#19140943C211yesmaximal, characteristic, complemented
12#19140929C211yesmaximal, characteristic, complemented
13#19140923C211yesmaximal, characteristic, complemented
14#19140920C211yesmaximal, characteristic, complemented
15#19140914C211yesmaximal, characteristic, complemented
16#19140840C211yesmaximal, characteristic, complemented
17#19140817C211yesmaximal, characteristic, complemented
18#19140809C211yesmaximal, characteristic, complemented
19#19140807C211yesmaximal, characteristic, complemented
20#19140479C211yesmaximal, characteristic, complemented
21#19140432C211yesmaximal, characteristic, complemented
22#19140282C211yesmaximal, characteristic, complemented
23#19140216C211yesmaximal, characteristic, complemented
24#19140192C211yesmaximal, characteristic, complemented
25#19140177C211yesmaximal, characteristic, complemented
26#19139562C211yesmaximal, characteristic, complemented
27#19139481C211yesmaximal, characteristic, complemented
28#19137934C211yesmaximal, characteristic, complemented
29#19137910C211yesmaximal, characteristic, complemented
30#19137238C211yesmaximal, characteristic, complemented
31C2×C43×#525C211yesmaximal, characteristic, complemented
32#14583482—28no—
33C2×#13063321C2211yescharacteristic
34C2×#13063320C2211yescharacteristic, complemented
35C2×#13063319C2211yescharacteristic, complemented
36C2×#13063313C2211yescharacteristic, complemented
37C2×#13063312C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic
39C2×#13063310C2211yescharacteristic, complemented
40C2×#13063308C2211yescharacteristic
41C2×#13063308C2211yescharacteristic
42C2×#13063306C2211yescharacteristic
43C2×#13063302C2211yescharacteristic, complemented
44C2×#13063301C2211yescharacteristic, complemented
45C2×#13063299C2211yescharacteristic
46C2×#13063299C2211yescharacteristic
47C2×#13063299C2211yescharacteristic
48C2×#13063298C2211yescharacteristic
49C2×#13063297C2211yescharacteristic
50C2×#13063296C2211yescharacteristic, complemented
51C2×#13063295C2211yescharacteristic, complemented
52C2×#13063294C2211yescharacteristic
53C2×#13063294C2211yescharacteristic
54C2×#13063294C2211yescharacteristic, complemented
55C2×#13063293C2211yescharacteristic
56C2×#13063293C2211yescharacteristic
57C2×#13063293C2211yescharacteristic
58C2×#13063293C2211yescharacteristic, complemented
59C2×C4×C22⋊D43C2211yescharacteristic, complemented
60C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
61#14582838C2211yescharacteristic, complemented
62#14582835C2211yescharacteristic, complemented
63#14582832C2211yescharacteristic, complemented
64#14582832C2211yescharacteristic, complemented
65#14582830C2211yescharacteristic, complemented
66#14582827C2211yescharacteristic, complemented
67#14582827C2211yescharacteristic, complemented
68#14582825C2211yescharacteristic, complemented
69#14582822C2211yescharacteristic, complemented
70#14582822C2211yescharacteristic, complemented
71#14582821C2211yescharacteristic, complemented
72#14582821C2211yescharacteristic, complemented
73#14582821C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582819C2211yescharacteristic, complemented
76#14582816C2211yescharacteristic, complemented
77#14582816C2211yescharacteristic, complemented
78#14582815C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582815C2211yescharacteristic
81#14582815C2211yescharacteristic
82#14582815C2211yescharacteristic, complemented
83#14582815C2211yescharacteristic, complemented
84#14582815C2211yescharacteristic, complemented
85#14582815C2211yescharacteristic, complemented
86#14582814C2211yescharacteristic
87#14582814C2211yescharacteristic
88#14582814C2211yescharacteristic, complemented
89#14582814C2211yescharacteristic, complemented
90#14582813C2211yescharacteristic
91#14582813C2211yescharacteristic
92#14582813C2211yescharacteristic, complemented
93#14582813C2211yescharacteristic, complemented
94#14582813C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582810C2211yescharacteristic, complemented
97#14582810C2211yescharacteristic, complemented
98#14582808C2211yescharacteristic
99#14582808C2211yescharacteristic, complemented
100#14582807C2211yescharacteristic
101#14582807C2211yescharacteristic
102#14582807C2211yescharacteristic
103#14582807C2211yescharacteristic
104#14582807C2211yescharacteristic
105#14582807C2211yescharacteristic
106#14582807C2211yescharacteristic
107#14582807C2211yescharacteristic, complemented
108#14582807C2211yescharacteristic, complemented
109#14582806C2211yescharacteristic, complemented
110#14582804C2211yescharacteristic, complemented
111#14582802C2211yescharacteristic
112#14582802C2211yescharacteristic
113#14582802C2211yescharacteristic, complemented
114#14582800C2211yescharacteristic, complemented
115#14582799C2211yescharacteristic
116#14582799C2211yescharacteristic
117#14582799C2211yescharacteristic
118#14582799C2211yescharacteristic, complemented
119#14582799C2211yescharacteristic, complemented
120#14582798C2211yescharacteristic, complemented
121#14582798C2211yescharacteristic, complemented
122#14582794C2211yescharacteristic, complemented
123#14582793C2211yescharacteristic, complemented
124#14582793C2211yescharacteristic, complemented
125#14582793C2211yescharacteristic, complemented
126#14582792C2211yescharacteristic, complemented
127#14582792C2211yescharacteristic, complemented
128#14582792C2211yescharacteristic, complemented
129#14582792C2211yescharacteristic, complemented
130#14582790C2211yescharacteristic, complemented
131#14582790C2211yescharacteristic, complemented
132#14582790C2211yescharacteristic, complemented
133#14582789C2211yescharacteristic, complemented
134#14582789C2211yescharacteristic, complemented
135#14582789C2211yescharacteristic, complemented
136#14582787C2211yescharacteristic, complemented
137#14582783C2211yescharacteristic, complemented
138#14582780C2211yescharacteristic, complemented
139#14582779C2211yescharacteristic
140#14582779C2211yescharacteristic, complemented
141#14582778C2211yescharacteristic
142#14582778C2211yescharacteristic
143#14582778C2211yescharacteristic
144#14582778C2211yescharacteristic
145#14582778C2211yescharacteristic
146#14582778C2211yescharacteristic
147#14582778C2211yescharacteristic
148#14582778C2211yescharacteristic, complemented
149#14582778C2211yescharacteristic, complemented
150#14582778C2211yescharacteristic, complemented
151#14582778C2211yescharacteristic, complemented
152#14582778C2211yescharacteristic, complemented
153#14582778C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582772C2211yescharacteristic, complemented
157#14582772C2211yescharacteristic, complemented
158#14582772C2211yescharacteristic, complemented
159#14582772C2211yescharacteristic, complemented
160#14582770C2211yescharacteristic, complemented
161#14582762C2211yescharacteristic, complemented
162#14582762C2211yescharacteristic, complemented
163#14582762C2211yescharacteristic, complemented
164#14582760C2211yescharacteristic, complemented
165#14582759C2211yescharacteristic, complemented
166#14582759C2211yescharacteristic, complemented
167#14582759C2211yescharacteristic, complemented
168#14582759C2211yescharacteristic, complemented
169#14582755C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171C4×C4⋊Dic43C2211yescharacteristic, complemented
172#14582745C2211yescharacteristic, complemented
173C22×#41×C43C2211yescharacteristic
174C24×C4×C43C2211yescharacteristic, complemented
175C43×#525—28no—
176C2×#123×C43C2211yescharacteristic
177C2×#123×C43C2211yescharacteristic, complemented
178C2×C22⋊Q8×C43C2211yescharacteristic, complemented
179C2×C22⋊Q8×C43C2211yescharacteristic, complemented
180C2×#121×C43C2211yescharacteristic
181C2×#121×C43C2211yescharacteristic
182C2×#120×C43C2211yescharacteristic
183C2×#120×C43C2211yescharacteristic, complemented
184C2×C4×D4×C43C2211yescharacteristic
185C2×C4×D4×C43C2211yescharacteristic
186C2×C4×D4×C43C2211yescharacteristic, complemented
187C2×C4×D4×C43C2211yescharacteristic, complemented
188C2×#117×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208#13063321—42no—
209#13063320—24no—
210#13063319—24no—
211#13063313—24no—
212#13063312—42no—
213#13063311—24no—
214#13063310—24no—
215#13063308—24no—
216#13063308—42no—
217#13063306—42no—
218#13063302—24no—
219#13063301—42no—
220#13063299—24no—
221#13063299—42no—
222#13063299—42no—
223#13063298—24no—
224#13063297—24no—
225#13063296—42no—
226#13063295—24no—
227#13063294—42no—
228#13063294—42no—
229#13063294—42no—
230#13063293—24no—
231#13063293—42no—
232#13063293—42no—
233#13063293—42no—
234C4×C22⋊D43—24no—
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×(C2×D43)⋊C4—24no—
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C25×C43C2311yescharacteristic
338C2×#41×C43—24no—
339C2×#41×C43—42no—
340C2×#41×C43—42no—
341C22×Q8×C43C2311yescharacteristic
342C22×D4×C43C2311yescharacteristic
343C22×D4×C43C2311yescharacteristic
344C22×D4×C43C2311yescharacteristic
345C22×D4×C43C2311yescharacteristic
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C23×C4×C43—24no—
350C23×C4×C43—42no—
351C23×C4×C43—42no—
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354C23×C4×C43C2311yescharacteristic
355C23×C4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360#123×C43—24no—
361#123×C43—24no—
362C22⋊Q8×C43—24no—
363C22⋊Q8×C43—24no—
364#121×C43—24no—
365#121×C43—24no—
366#120×C43—24no—
367#120×C43—24no—
368C4×D4×C43—24no—
369C4×D4×C43—24no—
370C4×D4×C43—24no—
371C4×D4×C43D418yescomplemented
372#117×C43—24no—
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C4⋊C4×C43C2311yescharacteristic
375C2×C4⋊C4×C43C2311yescharacteristic
376C2×C4⋊C4×C43C2311yescharacteristic
377C2×C4⋊C4×C43C2311yescharacteristic
378C2×C4⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C42×C43C2311yescharacteristic
390C2×C42×C43C2311yescharacteristic
391C24×C43—22no—
392C24×C43—22no—
393C24×C43—22no—
394C24×C43—41no—
395C24×C43—41no—
396C24×C43—41no—
397C24×C43—41no—
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C24×C43C2411yescharacteristic
401C24×C43C2411yescharacteristic
402C24×C43C2411yescharacteristic
403C23×D43—22no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43—41no—
408C23×D43—41no—
409C23×D43—41no—
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413#41×C43—416no—
414C2×Q8×C43—22no—
415C2×Q8×C43—22no—
416C2×Q8×C43—41no—
417C2×D4×C43—22no—
418C2×D4×C43—22no—
419C2×D4×C43—22no—
420C2×D4×C43—22no—
421C2×D4×C43—22no—
422C2×D4×C43—22no—
423C2×D4×C43—22no—
424C2×D4×C43—22no—
425C2×D4×C43—22no—
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—41no—
429C2×D4×C43—41no—
430C2×D4×C43—41no—
431C2×D4×C43—41no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C2×D4×C43—41no—
435C2×D4×C43—41no—
436C2×D4×C43—41no—
437C2×D4×C43C2×D414yes—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—22no—
442C22×C4×C43—22no—
443C22×C4×C43—22no—
444C22×C4×C43—22no—
445C22×C4×C43—22no—
446C22×C4×C43—22no—
447C22×C4×C43—22no—
448C22×C4×C43—22no—
449C22×C4×C43—41no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—416no—
461C22×C4×C43C2×D414yes—
462C22×C4×C43C2×D414yes—
463C22×C4×C43C2411yescharacteristic
464C22×C4×C43C2411yescharacteristic
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C2×C22⋊D43—22no—
474C2×C22⋊D43—22no—
475C2×C22⋊D43—22no—
476C2×C22⋊D43—22no—
477C2×C22⋊D43—22no—
478C2×C22⋊D43—22no—
479C2×C22⋊D43—22no—
480C2×C22⋊D43—22no—
481C2×C22⋊D43—22no—
482C2×C22⋊D43—22no—
483C2×C22⋊D43—41no—
484C2×C22⋊D43—41no—
485C2×C22⋊D43—41no—
486C2×C22⋊D43—41no—
487C2×C22⋊D43—41no—
488C2×C22⋊D43—41no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43—41no—
496C2×C22⋊D43—41no—
497C2×C22⋊D43—41no—
498C2×C22⋊D43—41no—
499C2×C22⋊D43—41no—
500C2×C22⋊D43—41no—
501C2×C22⋊D43—41no—
502C2×C22⋊D43—41no—
503C2×C22⋊D43—41no—
504C2×C22⋊D43—41no—
505C2×C22⋊D43—41no—
506C2×C22⋊D43—41no—
507C2×C22⋊D43—41no—
508C2×C22⋊D43—41no—
509C2×C22⋊D43—41no—
510C2×C22⋊D43—41no—
511C2×C22⋊D43—41no—
512C22×Dic43—22no—
513C22×Dic43—41no—
514C22×Dic43—41no—
515C22×Dic43C2411yescharacteristic
516C22×Dic43C2411yescharacteristic
517C22×Dic43C2411yescharacteristic
518C22×Dic43C2411yescharacteristic
519C22×Dic43C2411yescharacteristic
520C22×Dic43C2411yescharacteristic
521C22×Dic43C2411yescharacteristic
522C22×Dic43C2411yescharacteristic
523C22×Dic43C2411yescharacteristic
524C22×Dic43C2411yescharacteristic
525C22×Dic43C2411yescharacteristic
526C22×Dic43C2411yescharacteristic
527C22×Dic43C2411yescharacteristic
528C2×D172—22no—
529C2×D172—22no—
530C2×D172—41no—
531C2×D172—41no—
532C2×D172—41no—
533C2×D172—41no—
534C2×C4×D43—22no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×Dic86—22no—
538C2×Dic86—41no—
539C2×Dic86—41no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—22no—
543C4⋊C4×C43—22no—
544C4⋊C4×C43—22no—
545C4⋊C4×C43C2×D414yes—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43C2×D414yes—
555C22⋊C4×C43C2×D414yes—
556C42×C43—22no—
557C42×C43C2×D414yes—
558C22⋊Dic43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—22no—
561C22⋊Dic43—22no—
562C22⋊Dic43—22no—
563C22⋊Dic43—22no—
564C22⋊Dic43—41no—
565C22⋊Dic43—41no—
566C22⋊Dic43—41no—
567C22⋊Dic43—41no—
568C22⋊Dic43—41no—
569C22⋊Dic43—41no—
570C22⋊Dic43—41no—
571C22⋊Dic43—41no—
572C22⋊Dic43—41no—
573C22⋊Dic43—41no—
574C22⋊Dic43—41no—
575C22⋊Dic43—41no—
576C22⋊Dic43—41no—
577C22⋊Dic43—41no—
578C22⋊Dic43—41no—
579C22⋊Dic43—41no—
580C22⋊Dic43—41no—
581C22⋊Dic43—41no—
582C22⋊Dic43—41no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608C4⋊Dic43—22no—
609C4⋊Dic43—41no—
610C4⋊Dic43—41no—
611C4⋊Dic43—41no—
612C4⋊Dic43—41no—
613C4⋊Dic43—41no—
614C4⋊Dic43—41no—
615Dic43⋊C4—22no—
616Dic43⋊C4—22no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—22no—
620Dic43⋊C4—41no—
621Dic43⋊C4—41no—
622Dic43⋊C4—41no—
623Dic43⋊C4—41no—
624Dic43⋊C4—41no—
625Dic43⋊C4—41no—
626C4×Dic43—22no—
627C4×Dic43—41no—
628C4×Dic43—41no—
629C4×Dic43—41no—
630C4×Dic43—41no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—44no—
663C23×C43—44no—
664C23×C43—44no—
665C23×C43—44no—
666C23×C43—44no—
667C23×C43—44no—
668C23×C43—44no—
669C23×C43C22×D412yes—
670C23×C43C22×D412yes—
671C23×C43H(5,𝔽2)12yes—
672C23×C43H(5,𝔽2)12yes—
673C23×C43C2511yescharacteristic
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—44no—
696C22×D43—82no—
697C22×D43—82no—
698C22×D43—82no—
699C22×D43—82no—
700C22×D43—82no—
701C22×D43—82no—
702Q8×C43—44no—
703D4×C43—44no—
704D4×C43—44no—
705D4×C43—44no—
706D4×C43—44no—
707D4×C43—44no—
708D4×C43—44no—
709D4×C43—44no—
710C2×C4×C43—28no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—44no—
736C2×C4×C43—44no—
737C2×C4×C43—44no—
738C2×C4×C43—44no—
739C2×C4×C43—44no—
740C2×C4×C43—44no—
741C2×C4×C43—44no—
742C2×C4×C43C22×D412yes—
743C2×C4×C43C22×D412yes—
744C2×C4×C43C22×D412yes—
745C2×C4×C43C22×D412yes—
746C2×C4×C43C22×D412yes—
747C2×C4×C43H(5,𝔽2)12yes—
748C22⋊D43—44no—
749C22⋊D43—82no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C22⋊D43—82no—
753C22⋊D43—82no—
754C22⋊D43—82no—
755C22⋊D43—82no—
756C22⋊D43—82no—
757C22⋊D43—82no—
758C22⋊D43—82no—
759C22⋊D43—82no—
760C22⋊D43—82no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—82no—
801D172—82no—
802D172—82no—
803C4×D43—82no—
804Dic86—82no—
805#36724—431nomaximal, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—22no—
813C22×C43—22no—
814C22×C43—22no—
815C22×C43—22no—
816C22×C43—22no—
817C22×C43—22no—
818C22×C43—416no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43C23×D411yescharacteristic
843C22×C43C2×H(5,𝔽2)11yescharacteristic
844C22×C43C2×H(5,𝔽2)11yescharacteristic
845C22×C43C2×H(5,𝔽2)11yescharacteristic
846C22×C43#58511yescharacteristic
847C22×C43#58511yescharacteristic
848C22×C43#58511yescharacteristic
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—88no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—22no—
875C4×C43—22no—
876C4×C43—22no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881Dic43—41no—
882Dic43—41no—
883Dic43—41no—
884Dic43—41no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43—41no—
892Dic43—41no—
893Dic43—41no—
894C2×#538—431no—
895C2×#525D4311yescharacteristic, complemented
896#2849—431no—
897#2847—431no—
898#2705—431no—
899#2702—431no—
900#2700—431no—
901#2699—431no—
902#2687—431no—
903#2682—431no—
904#2681—431no—
905#2681—431no—
906#2679—431no—
907#2678—431no—
908#2678—431no—
909#2678—431no—
910#2672—431no—
911#2670—431no—
912#2669—431no—
913#2669—431no—
914#2635—431no—
915#2630—431no—
916#2610—431no—
917#2603—431no—
918#2601—431no—
919#2600—431no—
920#2544—431no—
921#2534—431no—
922#2407—431no—
923#2404—431no—
924#2319—431no—
925C2×C43—42no—
926C2×C43—42no—
927C2×C43—42no—
928C2×C43—42no—
929C2×C43—81no—
930C2×C43#344911yescharacteristic
931C2×C43#348411yescharacteristic
932C2×C43#348811yescharacteristic
933C2×C43#353311yescharacteristic
934C2×C43#353411yescharacteristic
935C2×C43#354011yescharacteristic
936C2×C43#354211yescharacteristic
937D43—81no—
938D43—81no—
939D43—81no—
940C22×#41C2×D4311yescharacteristic
941C24×C4C2×D4311yescharacteristic, complemented
942#538—868no—
943C2×#127—431no—
944C2×#126—431no—
945C2×#126—431no—
946C2×#124—431no—
947C2×#124—431no—
948C2×#124—431no—
949#525—28no—
950C2×#123—431no—
951C2×#123—431no—
952C2×#123—431no—
953C2×#123—431no—
954C2×#123C2×D4311yescharacteristic
955C2×#123C2×D4311yescharacteristic, complemented
956C2×C22⋊Q8—431no—
957C2×C22⋊Q8—431no—
958C2×C22⋊Q8C2×D4311yescharacteristic, complemented
959C2×C22⋊Q8C2×D4311yescharacteristic, complemented
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121C2×D4311yescharacteristic
967C2×#121C2×D4311yescharacteristic
968C2×#120—431no—
969C2×#120—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×#120—431no—
974C2×#120—431no—
975C2×#120—431no—
976C2×#120C2×D4311yescharacteristic
977C2×#120C2×D4311yescharacteristic, complemented
978C2×C4×D4—431no—
979C2×C4×D4C2×D4311yescharacteristic
980C2×C4×D4C2×D4311yescharacteristic
981C2×C4×D4C2×D4311yescharacteristic, complemented
982C2×C4×D4C2×D4311yescharacteristic, complemented
983C2×#117C2×D4311yescharacteristic, complemented
984C22×C22⋊C4—431no—
985#400—431no—
986#399—431no—
987#398—431no—
988#398—431no—
989#398—431no—
990#397—431no—
991#397—431no—
992#397—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#396—431no—
997#396—431no—
998#396—431no—
999#395—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#394—431no—
1013#394—431no—
1014#394—431no—
1015#394—431no—
1016#394—431no—
1017#394—431no—
1018#394—431no—
1019#393—431no—
1020#393—431no—
1021#393—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#392—431no—
1029#392—431no—
1030#392—431no—
1031#392—431no—
1032#392—431no—
1033#391—431no—
1034#391—431no—
1035#390—431no—
1036#390—431no—
1037#390—431no—
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#390—431no—
1042#390—431no—
1043#390—431no—
1044#389—431no—
1045#389—431no—
1046#389—431no—
1047#388—431no—
1048#388—431no—
1049#388—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#387—431no—
1062#387—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#385—431no—
1080#385—431no—
1081#385—431no—
1082#385—431no—
1083#385—431no—
1084#385—431no—
1085#381—431no—
1086#381—431no—
1087#381—431no—
1088#381—431no—
1089#380—431no—
1090#380—431no—
1091#380—431no—
1092#380—431no—
1093#379—431no—
1094#379—431no—
1095C4×C4⋊C4—431no—
1096#376—431no—
1097C43#3672411yescharacteristic, complemented, Sylow
1098C25—431no—
1099C25C22×D4311yescharacteristic
1100C2×#41—24no—
1101C2×#41—42no—
1102C2×#41—42no—
1103C22×Q8—431no—
1104C22×Q8C22×D4311yescharacteristic
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4C22×D4311yescharacteristic
1121C22×D4C22×D4311yescharacteristic
1122C22×D4C22×D4311yescharacteristic
1123C22×D4C22×D4311yescharacteristic
1124C22×D4C22×D4311yescharacteristic
1125C22×D4C22×D4311yescharacteristic
1126C22×D4C22×D4311yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4C22×D4311yescharacteristic
1133C23×C4C22×D4311yescharacteristic
1134C23×C4C22×D4311yescharacteristic
1135C23×C4C22×D4311yescharacteristic
1136C23×C4C22×D4311yescharacteristic
1137C23×C4C22×D4311yescharacteristic
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140#127—1722no—
1141#126—864no—
1142#126—864no—
1143#124—864no—
1144#124—864no—
1145#124—1722no—
1146#123—24no—
1147#123—24no—
1148#123—864no—
1149#123—864no—
1150#123—1722no—
1151#123—1722no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154C22⋊Q8—864no—
1155C22⋊Q8—1722no—
1156#121—24no—
1157#121—24no—
1158#121—864no—
1159#121—864no—
1160#121—864no—
1161#121—1722no—
1162#121—1722no—
1163#121—1722no—
1164#120—24no—
1165#120—24no—
1166#120—864no—
1167#120—864no—
1168#120—1722no—
1169#120—1722no—
1170#120—1722no—
1171#120—1722no—
1172#120—1722no—
1173#120—1722no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—864no—
1178C4×D4C22⋊D4318yescomplemented
1179#117—24no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—431no—
1197C2×C4⋊C4—431no—
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C4⋊C4C22×D4311yescharacteristic
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—864no—
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4C22×D4311yescharacteristic
1262C2×C22⋊C4C22×D4311yescharacteristic
1263C2×C22⋊C4C22×D4311yescharacteristic
1264C2×C22⋊C4C22×D4311yescharacteristic
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42—431no—
1268C2×C42—431no—
1269C2×C42—431no—
1270C2×C42C22×D4311yescharacteristic
1271C2×C42C22×D4311yescharacteristic
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291#95—431no—
1292#95—431no—
1293#95—431no—
1294#95—431no—
1295#95—431no—
1296#95—431no—
1297#95—431no—
1298#95—431no—
1299#95—431no—
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—431no—
1308C24—431no—
1309C24—431no—
1310C24—862no—
1311C24—1721no—
1312C24—1721no—
1313C24—1721no—
1314C24—1721no—
1315C24—1721no—
1316C24—1721no—
1317C24C23×D4311yescharacteristic
1318C24C23×D4311yescharacteristic
1319C24C23×D4311yescharacteristic
1320C24C23×D4311yescharacteristic
1321C24C23×D4311yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—41no—
1326C2×Q8—862no—
1327C2×Q8—1721no—
1328C2×Q8—1721no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—862no—
1361C2×D4—1721no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4—1721no—
1392C2×D4—1721no—
1393C2×D4—1721no—
1394C2×D4C2×C22⋊D4314yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—416no—
1418C22×C4—431no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—431no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—862no—
1432C22×C4—862no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4C2×C22⋊D4314yes—
1438C22×C4C2×C22⋊D4314yes—
1439C22×C4C23×D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—862no—
1455C4⋊C4—862no—
1456C4⋊C4—862no—
1457C4⋊C4—862no—
1458C4⋊C4—862no—
1459C4⋊C4—862no—
1460C4⋊C4—1721no—
1461C4⋊C4—1721no—
1462C4⋊C4—1721no—
1463C4⋊C4—1721no—
1464C4⋊C4—1721no—
1465C4⋊C4—1721no—
1466C4⋊C4—1721no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4C2×C22⋊D4314yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—862no—
1482C22⋊C4—862no—
1483C22⋊C4—862no—
1484C22⋊C4—862no—
1485C22⋊C4—862no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—1721no—
1501C22⋊C4—1721no—
1502C22⋊C4—1721no—
1503C22⋊C4—1721no—
1504C22⋊C4—1721no—
1505C22⋊C4—1721no—
1506C22⋊C4—1721no—
1507C22⋊C4—1721no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4C2×C22⋊D4314yes—
1532C22⋊C4C2×C22⋊D4314yes—
1533C42—22no—
1534C42—862no—
1535C42—1721no—
1536C42—1721no—
1537C42—1721no—
1538C42—1721no—
1539C42C2×C22⋊D4314yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—861no—
1597C23—861no—
1598C23—861no—
1599C23—3442no—
1600C23—3442no—
1601C23—3442no—
1602C23—3442no—
1603C23—3442no—
1604C23—3442no—
1605C23—1724no—
1606C23C22×C22⋊D4312yes—
1607C23C22×C22⋊D4312yes—
1608C23#1306337012yes—
1609C23#1306337112yes—
1610C23C24×D4311yescharacteristic
1611Q8—44no—
1612Q8—3442no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—3442no—
1621D4—3442no—
1622D4—3442no—
1623D4—3442no—
1624D4—3442no—
1625D4—3442no—
1626D4—3442no—
1627D4—3442no—
1628D4—3442no—
1629D4—3442no—
1630D4—3442no—
1631D4—3442no—
1632D4—3442no—
1633D4—3442no—
1634D4—1724no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—861no—
1698C2×C4—861no—
1699C2×C4—861no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—3442no—
1707C2×C4—3442no—
1708C2×C4C22×C22⋊D4312yes—
1709C2×C4C22×C22⋊D4312yes—
1710C2×C4C22×C22⋊D4312yes—
1711C2×C4C22×C22⋊D4312yes—
1712C2×C4C22×C22⋊D4312yes—
1713C2×C4#1306337012yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—3448no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22—1721no—
1770C22—1721no—
1771C22—1721no—
1772C22C23×C22⋊D4311yescharacteristic
1773C22C2×#1306337011yescharacteristic
1774C22C2×#1306337011yescharacteristic
1775C22C2×#1306337111yescharacteristic
1776C22#1458373511yescharacteristic
1777C22#1458373511yescharacteristic
1778C22#1458373511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4—1721no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C4—1721no—
1797C4—1721no—
1798C4—1721no—
1799C4—1721no—
1800C4—1721no—
1801C4—1721no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—3441no—
1808C2—3441no—
1809C2—3441no—
1810C2#1914792411yescharacteristic
1811C2#1914823011yescharacteristic
1812C2#1914826411yescharacteristic
1813C2#1914875911yescharacteristic
1814C2#1914877911yescharacteristic
1815C2#1914886311yescharacteristic
1816C2#1914890311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#525C2
hypercenterC2×#525D43
hypocenterC43#36724
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#14583482C2semidirect
2. #19142887C2semidirect
3. #19142877C2semidirect
4. #19141264C2semidirect
5. #19141219C2semidirect
6. #19141189C2semidirect
7. #19141178C2semidirect
8. #19141010C2semidirect
9. #19140960C2semidirect
10. #19140950C2semidirect
11. #19140943C2semidirect
12. #19140929C2semidirect
13. #19140923C2semidirect
14. #19140920C2semidirect
15. #19140914C2semidirect
16. #19140840C2semidirect
17. #19140817C2semidirect
18. #19140809C2semidirect
19. #19140807C2semidirect
20. #19140479C2semidirect
21. #19140432C2semidirect
22. #19140282C2semidirect
23. #19140216C2semidirect
24. #19140192C2semidirect
25. #19140177C2semidirect
26. #19139562C2semidirect
27. #19139481C2semidirect
28. #19137934C2semidirect
29. #19137910C2semidirect
30. #19137238C2semidirect
31. C2×C43×#525C2semidirect
34. C2×#13063320C22semidirect
35. C2×#13063319C22semidirect
36. C2×#13063313C22semidirect
37. C2×#13063312C22semidirect
39. C2×#13063310C22semidirect
43. C2×#13063302C22semidirect
44. C2×#13063301C22semidirect
50. C2×#13063296C22semidirect
51. C2×#13063295C22semidirect
54. C2×#13063294C22semidirect
58. C2×#13063293C22semidirect
59. C2×C4×C22⋊D43C22semidirect
60. C22×(C2×D43)⋊C4C22semidirect
61. #14582838C22semidirect
62. #14582835C22semidirect
63. #14582832C22semidirect
64. #14582832C22semidirect
65. #14582830C22semidirect
66. #14582827C22semidirect
67. #14582827C22semidirect
68. #14582825C22semidirect
69. #14582822C22semidirect
70. #14582822C22semidirect
71. #14582821C22semidirect
72. #14582821C22semidirect
73. #14582821C22semidirect
74. #14582821C22semidirect
75. #14582819C22semidirect
76. #14582816C22semidirect
77. #14582816C22semidirect
82. #14582815C22semidirect
83. #14582815C22semidirect
84. #14582815C22semidirect
85. #14582815C22semidirect
88. #14582814C22semidirect
89. #14582814C22semidirect
92. #14582813C22semidirect
93. #14582813C22semidirect
94. #14582813C22semidirect
95. #14582811C22semidirect
96. #14582810C22semidirect
97. #14582810C22semidirect
99. #14582808C22semidirect
107. #14582807C22semidirect
108. #14582807C22semidirect
109. #14582806C22semidirect
110. #14582804C22semidirect
113. #14582802C22semidirect
114. #14582800C22semidirect
118. #14582799C22semidirect
119. #14582799C22semidirect
120. #14582798C22semidirect
121. #14582798C22semidirect
122. #14582794C22semidirect
123. #14582793C22semidirect
124. #14582793C22semidirect
125. #14582793C22semidirect
126. #14582792C22semidirect
127. #14582792C22semidirect
128. #14582792C22semidirect
129. #14582792C22semidirect
130. #14582790C22semidirect
131. #14582790C22semidirect
132. #14582790C22semidirect
133. #14582789C22semidirect
134. #14582789C22semidirect
135. #14582789C22semidirect
136. #14582787C22semidirect
137. #14582783C22semidirect
138. #14582780C22semidirect
140. #14582779C22semidirect
148. #14582778C22semidirect
149. #14582778C22semidirect
150. #14582778C22semidirect
151. #14582778C22semidirect
152. #14582778C22semidirect
153. #14582778C22semidirect
154. #14582775C22semidirect
155. #14582772C22semidirect
156. #14582772C22semidirect
157. #14582772C22semidirect
158. #14582772C22semidirect
159. #14582772C22semidirect
160. #14582770C22semidirect
161. #14582762C22semidirect
162. #14582762C22semidirect
163. #14582762C22semidirect
164. #14582760C22semidirect
165. #14582759C22semidirect
166. #14582759C22semidirect
167. #14582759C22semidirect
168. #14582759C22semidirect
169. #14582755C22semidirect
170. #14582754C22semidirect
171. C4×C4⋊Dic43C22semidirect
172. #14582745C22semidirect
174. C24×C4×C43C22semidirect
177. C2×#123×C43C22semidirect
178. C2×C22⋊Q8×C43C22semidirect
179. C2×C22⋊Q8×C43C22semidirect
183. C2×#120×C43C22semidirect
186. C2×C4×D4×C43C22semidirect
187. C2×C4×D4×C43C22semidirect
188. C2×#117×C43C22semidirect
371. C4×D4×C43D4semidirect
895. C2×#525D43semidirect
941. C24×C4C2×D43semidirect
955. C2×#123C2×D43semidirect
958. C2×C22⋊Q8C2×D43semidirect
959. C2×C22⋊Q8C2×D43semidirect
977. C2×#120C2×D43semidirect
981. C2×C4×D4C2×D43semidirect
982. C2×C4×D4C2×D43semidirect
983. C2×#117C2×D43semidirect
1097. C43#36724semidirect
1178. C4×D4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834822
#191428872
#191428772
#191412642
#191412192
#191411892
#191411782
#191410102
#191409602
#191409502
#191409432
#191409292
#191409232
#191409202
#191409142
#191408402
#191408172
#191408092
#191408072
#191404792
#191404322
#191402822
#191402162
#191401922
#191401772
#191395622
#191394812
#191379342
#191379102
#191372382
C2×C43×#5252
#3672443