Finite Group Databasebeta

← #25303680

Subgroups — #25303680

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×#14583408C211yesmaximal, characteristic, complemented
2#19142884C211yesmaximal, characteristic, complemented
3#19142874C211yesmaximal, characteristic, complemented
4#19141262C211yesmaximal, characteristic, complemented
5#19141217C211yesmaximal, characteristic, complemented
6#19141187C211yesmaximal, characteristic, complemented
7#19141178C211yesmaximal, characteristic, complemented
8#19141012C211yesmaximal, characteristic, complemented
9#19140960C211yesmaximal, characteristic, complemented
10#19140947C211yesmaximal, characteristic, complemented
11#19140941C211yesmaximal, characteristic, complemented
12#19140929C211yesmaximal, characteristic, complemented
13#19140923C211yesmaximal, characteristic, complemented
14#19140920C211yesmaximal, characteristic, complemented
15#19140916C211yesmaximal, characteristic, complemented
16#19140842C211yesmaximal, characteristic, complemented
17#19140816C211yesmaximal, characteristic, complemented
18#19140809C211yesmaximal, characteristic, complemented
19#19140807C211yesmaximal, characteristic, complemented
20#19140480C211yesmaximal, characteristic, complemented
21#19140434C211yesmaximal, characteristic, complemented
22#19140284C211yesmaximal, characteristic, complemented
23#19140224C211yesmaximal, characteristic, complemented
24#19140194C211yesmaximal, characteristic, complemented
25#19140177C211yesmaximal, characteristic, complemented
26#19139567C211yesmaximal, characteristic, complemented
27#19139485C211yesmaximal, characteristic, complemented
28#19137940C211yesmaximal, characteristic, complemented
29#19137914C211yesmaximal, characteristic, complemented
30#19137238C211yesmaximal, characteristic, complemented
31C2×C43×#538C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic, complemented
34C2×#13063321C2211yescharacteristic
35C2×#13063314C2211yescharacteristic, complemented
36#14583408—28no—
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063308C2211yescharacteristic
39C2×#13063307C2211yescharacteristic
40C2×#13063306C2211yescharacteristic
41C2×#13063304C2211yescharacteristic, complemented
42C2×#13063303C2211yescharacteristic, complemented
43C2×#13063302C2211yescharacteristic, complemented
44C2×#13063299C2211yescharacteristic, complemented
45C2×#13063298C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063296C2211yescharacteristic
48C2×#13063296C2211yescharacteristic
49C2×#13063295C2211yescharacteristic, complemented
50C2×#13063294C2211yescharacteristic
51C2×#13063294C2211yescharacteristic
52C2×#13063294C2211yescharacteristic, complemented
53C2×#13063293C2211yescharacteristic
54C2×#13063293C2211yescharacteristic
55C2×#13063293C2211yescharacteristic
56C2×#13063293C2211yescharacteristic, complemented
57C2×C4×D172C2211yescharacteristic, complemented
58C2×C4×C22⋊D43C2211yescharacteristic
59C2×C4×C22⋊D43C2211yescharacteristic, complemented
60C2×#13063282C2211yescharacteristic, complemented
61#14582837C2211yescharacteristic, complemented
62#14582834C2211yescharacteristic, complemented
63#14582832C2211yescharacteristic, complemented
64#14582832C2211yescharacteristic, complemented
65#14582829C2211yescharacteristic, complemented
66#14582827C2211yescharacteristic, complemented
67#14582827C2211yescharacteristic, complemented
68#14582824C2211yescharacteristic, complemented
69#14582822C2211yescharacteristic, complemented
70#14582822C2211yescharacteristic, complemented
71#14582822C2211yescharacteristic, complemented
72#14582822C2211yescharacteristic, complemented
73#14582821C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582818C2211yescharacteristic, complemented
76#14582816C2211yescharacteristic, complemented
77#14582815C2211yescharacteristic
78#14582815C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582815C2211yescharacteristic
81#14582815C2211yescharacteristic, complemented
82#14582815C2211yescharacteristic, complemented
83#14582815C2211yescharacteristic, complemented
84#14582815C2211yescharacteristic, complemented
85#14582814C2211yescharacteristic
86#14582814C2211yescharacteristic
87#14582814C2211yescharacteristic, complemented
88#14582814C2211yescharacteristic, complemented
89#14582813C2211yescharacteristic
90#14582813C2211yescharacteristic
91#14582813C2211yescharacteristic, complemented
92#14582813C2211yescharacteristic, complemented
93#14582813C2211yescharacteristic, complemented
94#14582813C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582811C2211yescharacteristic, complemented
97#14582810C2211yescharacteristic, complemented
98#14582808C2211yescharacteristic
99#14582808C2211yescharacteristic
100#14582808C2211yescharacteristic
101#14582807C2211yescharacteristic
102#14582807C2211yescharacteristic
103#14582807C2211yescharacteristic
104#14582807C2211yescharacteristic
105#14582807C2211yescharacteristic
106#14582807C2211yescharacteristic, complemented
107#14582807C2211yescharacteristic, complemented
108#14582807C2211yescharacteristic, complemented
109#14582806C2211yescharacteristic, complemented
110#14582805C2211yescharacteristic, complemented
111#14582802C2211yescharacteristic
112#14582802C2211yescharacteristic
113#14582802C2211yescharacteristic, complemented
114#14582801C2211yescharacteristic, 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#14582789C2211yescharacteristic, complemented
132#14582789C2211yescharacteristic, complemented
133#14582789C2211yescharacteristic, complemented
134#14582787C2211yescharacteristic, complemented
135#14582787C2211yescharacteristic, complemented
136#14582787C2211yescharacteristic, complemented
137#14582783C2211yescharacteristic, complemented
138#14582780C2211yescharacteristic, complemented
139#14582779C2211yescharacteristic
140#14582779C2211yescharacteristic, complemented
141#14582778C2211yescharacteristic
142#14582778C2211yescharacteristic, complemented
143#14582778C2211yescharacteristic, complemented
144#14582775C2211yescharacteristic
145#14582775C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582775C2211yescharacteristic, complemented
151#14582775C2211yescharacteristic, complemented
152#14582775C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582770C2211yescharacteristic, complemented
161#14582762C2211yescharacteristic, complemented
162#14582762C2211yescharacteristic, complemented
163#14582762C2211yescharacteristic, complemented
164#14582760C2211yescharacteristic, complemented
165#14582759C2211yescharacteristic, complemented
166#14582759C2211yescharacteristic, complemented
167#14582756C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582755C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171C4×C4⋊Dic43C2211yescharacteristic, complemented
172#14582745C2211yescharacteristic, complemented
173C43×#538—28no—
174C2×#126×C43C2211yescharacteristic, complemented
175C2×#126×C43C2211yescharacteristic, complemented
176C2×#124×C43C2211yescharacteristic
177C2×#124×C43C2211yescharacteristic, complemented
178C2×#123×C43C2211yescharacteristic
179C2×#123×C43C2211yescharacteristic, complemented
180C2×C22⋊Q8×C43C2211yescharacteristic, complemented
181C2×#121×C43C2211yescharacteristic
182C2×#121×C43C2211yescharacteristic
183C2×#121×C43C2211yescharacteristic
184C2×#120×C43C2211yescharacteristic
185C2×#120×C43C2211yescharacteristic, complemented
186C2×C4×D4×C43C2211yescharacteristic
187C2×C4×D4×C43C2211yescharacteristic, complemented
188C22×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C2×#10621898—24no—
191C2×#10621898—42no—
192C2×#10621898—42no—
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
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
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C22×C4×D43—24no—
211C22×C4×D43—42no—
212C22×C4×D43—42no—
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218#13063321—42no—
219#13063314—42no—
220#13063310—24no—
221#13063308—42no—
222#13063307—24no—
223#13063306—42no—
224#13063304—42no—
225#13063303—24no—
226#13063302—24no—
227#13063299—42no—
228#13063298—24no—
229#13063297—24no—
230#13063296—42no—
231#13063296—42no—
232#13063295—24no—
233#13063294—42no—
234#13063294—42no—
235#13063294—42no—
236#13063293—24no—
237#13063293—42no—
238#13063293—42no—
239#13063293—42no—
240C4×D172—24no—
241C4×C22⋊D43—24no—
242C4×C22⋊D43—24no—
243#13063282—24no—
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
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
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C25×C43C2311yescharacteristic
342C22×Q8×C43C2311yescharacteristic
343C22×D4×C43C2311yescharacteristic
344C22×D4×C43C2311yescharacteristic
345C22×D4×C43C2311yescharacteristic
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354#126×C43—24no—
355#126×C43—24no—
356#124×C43—24no—
357#124×C43—24no—
358#123×C43—24no—
359#123×C43—24no—
360C22⋊Q8×C43—24no—
361#121×C43—24no—
362#121×C43—24no—
363#121×C43—24no—
364#120×C43—24no—
365#120×C43—24no—
366C4×D4×C43—24no—
367C4×D4×C43D418yescomplemented
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43—24no—
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊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—41no—
393C24×C43—41no—
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—22no—
405C23×D43—22no—
406C23×D43—41no—
407C23×D43—41no—
408C23×D43—41no—
409C23×D43—41no—
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413C2×Q8×C43—22no—
414C2×Q8×C43—41no—
415C2×Q8×C43—41no—
416C2×D4×C43—22no—
417C2×D4×C43—22no—
418C2×D4×C43—22no—
419C2×D4×C43—22no—
420C2×D4×C43—22no—
421C2×D4×C43—22no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—41no—
425C2×D4×C43—41no—
426C2×D4×C43—41no—
427C2×D4×C43—41no—
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×C43C2×D414yes—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—41no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43C2×D414yes—
448C22×C4×C43C2×D414yes—
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—22no—
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—22no—
470C2×C22⋊D43—22no—
471C2×C22⋊D43—22no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C2×C22⋊D43—41no—
477C2×C22⋊D43—41no—
478C2×C22⋊D43—41no—
479C2×C22⋊D43—41no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—41no—
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—
498C22×Dic43—22no—
499C22×Dic43—22no—
500C22×Dic43—41no—
501C22×Dic43C2411yescharacteristic
502C22×Dic43C2411yescharacteristic
503C22×Dic43C2411yescharacteristic
504C22×Dic43C2411yescharacteristic
505C22×Dic43C2411yescharacteristic
506C22×Dic43C2411yescharacteristic
507C22×Dic43C2411yescharacteristic
508C22×Dic43C2411yescharacteristic
509C22×Dic43C2411yescharacteristic
510C22×Dic43C2411yescharacteristic
511C22×Dic43C2411yescharacteristic
512C22×Dic43C2411yescharacteristic
513C22×Dic43C2411yescharacteristic
514#10621898—416no—
515C2×D172—22no—
516C2×D172—22no—
517C2×D172—22no—
518C2×D172—22no—
519C2×D172—41no—
520C2×D172—41no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—22no—
529C2×C4×D43—22no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—416no—
537C2×Dic86—22no—
538C2×Dic86—22no—
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×C43—22no—
555C22⋊C4×C43—22no—
556C22⋊C4×C43—22no—
557C22⋊C4×C43—22no—
558C22⋊C4×C43C2×D414yes—
559C22⋊C4×C43C2×D414yes—
560C42×C43—22no—
561C42×C43C2×D414yes—
562C22⋊Dic43—22no—
563C22⋊Dic43—22no—
564C22⋊Dic43—22no—
565C22⋊Dic43—22no—
566C22⋊Dic43—22no—
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—
583C22⋊Dic43—41no—
584C22⋊Dic43—41no—
585C22⋊Dic43—41no—
586C22⋊Dic43—41no—
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—22no—
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—21no—
663C23×C43—21no—
664C23×C43—44no—
665C23×C43—82no—
666C23×C43—82no—
667C23×C43—82no—
668C23×C43—82no—
669C23×C43—82no—
670C23×C43—82no—
671C23×C43C22×D412yes—
672C23×C43C22×D412yes—
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—44no—
694C22×D43—44no—
695C22×D43—44no—
696C22×D43—44no—
697C22×D43—44no—
698C22×D43—44no—
699C22×D43—44no—
700C22×D43H(5,𝔽2)12yes—
701C22×D43H(5,𝔽2)12yes—
702Q8×C43—82no—
703D4×C43—44no—
704D4×C43—44no—
705D4×C43—82no—
706D4×C43—82no—
707D4×C43—82no—
708D4×C43—82no—
709D4×C43—82no—
710C2×C4×C43—21no—
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—82no—
738C2×C4×C43—82no—
739C2×C4×C43C22×D412yes—
740C2×C4×C43C22×D412yes—
741C2×C4×C43C22×D412yes—
742C2×C4×C43C22×D412yes—
743C2×C4×C43C22×D412yes—
744C22⋊D43—44no—
745C22⋊D43—44no—
746C22⋊D43—44no—
747C22⋊D43—44no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C22⋊D43—82no—
753C22⋊D43—82no—
754C22⋊D43—82no—
755C22⋊D43—82no—
756C22⋊D43—82no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
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—44no—
796C2×Dic43H(5,𝔽2)12yes—
797D172—44no—
798D172—44no—
799C4×D43—28no—
800C4×D43—44no—
801C4×D43—44no—
802C4×D43—44no—
803C4×D43—44no—
804Dic86—44no—
805#36724—431nomaximal, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
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—88no—
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—22no—
850C2×D43—22no—
851C2×D43—22no—
852C2×D43—22no—
853C2×D43—22no—
854C2×D43—22no—
855C2×D43—416no—
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—41no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—22no—
875C4×C43—22no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881Dic43—22no—
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×#538D4311yescharacteristic, complemented
895C2×#525—431no—
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—81no—
928C2×C43—81no—
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—42no—
938D43—42no—
939D43—81no—
940C22×#41—431no—
941C24×C4—431no—
942#538—28no—
943C2×#127—431no—
944C2×#126C2×D4311yescharacteristic, complemented
945C2×#126C2×D4311yescharacteristic, complemented
946C2×#124—431no—
947C2×#124C2×D4311yescharacteristic
948C2×#124C2×D4311yescharacteristic, complemented
949#525—868no—
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⋊Q8—431no—
959C2×C22⋊Q8C2×D4311yescharacteristic, complemented
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121C2×D4311yescharacteristic
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×D4—431no—
980C2×C4×D4—431no—
981C2×C4×D4C2×D4311yescharacteristic
982C2×C4×D4C2×D4311yescharacteristic, complemented
983C2×#117—431no—
984C22×C22⋊C4C2×D4311yescharacteristic, complemented
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—864no—
1101C2×#41—1722no—
1102C2×#41—1722no—
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—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—864no—
1134C23×C4—1722no—
1135C23×C4—1722no—
1136C23×C4C22×D4311yescharacteristic
1137C23×C4C22×D4311yescharacteristic
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140#127—1722no—
1141#126—24no—
1142#126—24no—
1143#124—24no—
1144#124—24no—
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—864no—
1154C22⋊Q8—864no—
1155C22⋊Q8—1722no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
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—864no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4C22⋊D4318yescomplemented
1179#117—864no—
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—24no—
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⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
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—41no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—431no—
1308C24—431no—
1309C24—431no—
1310C24—862no—
1311C24—862no—
1312C24—862no—
1313C24—1721no—
1314C24—1721no—
1315C24—1721no—
1316C24—1721no—
1317C24C23×D4311yescharacteristic
1318C24C23×D4311yescharacteristic
1319C24C23×D4311yescharacteristic
1320C24C23×D4311yescharacteristic
1321C24C23×D4311yescharacteristic
1322#41—17216no—
1323C2×Q8—22no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—862no—
1327C2×Q8—862no—
1328C2×Q8—1721no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
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—862no—
1362C2×D4—862no—
1363C2×D4—862no—
1364C2×D4—862no—
1365C2×D4—862no—
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—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—431no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—431no—
1412C22×C4—431no—
1413C22×C4—431no—
1414C22×C4—431no—
1415C22×C4—431no—
1416C22×C4—431no—
1417C22×C4—431no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—862no—
1422C22×C4—862no—
1423C22×C4—862no—
1424C22×C4—862no—
1425C22×C4—862no—
1426C22×C4—862no—
1427C22×C4—862no—
1428C22×C4—862no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—17216no—
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—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
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—21no—
1572C23—21no—
1573C23—44no—
1574C23—82no—
1575C23—82no—
1576C23—82no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23—432no—
1581C23—432no—
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—861no—
1600C23—861no—
1601C23—1724no—
1602C23—1724no—
1603C23—1724no—
1604C23—1724no—
1605C23—1724no—
1606C23—1724no—
1607C23—1724no—
1608C23C22×C22⋊D4312yes—
1609C23C22×C22⋊D4312yes—
1610C23C24×D4311yescharacteristic
1611Q8—82no—
1612Q8—1724no—
1613D4—44no—
1614D4—44no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—3442no—
1621D4—3442no—
1622D4—3442no—
1623D4—3442no—
1624D4—3442no—
1625D4—3442no—
1626D4—3442no—
1627D4—3442no—
1628D4—3442no—
1629D4—1724no—
1630D4—1724no—
1631D4—1724no—
1632D4—1724no—
1633D4—1724no—
1634D4—1724no—
1635C2×C4—21no—
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—82no—
1663C2×C4—82no—
1664C2×C4—432no—
1665C2×C4—868no—
1666C2×C4—861no—
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—1724no—
1705C2×C4—1724no—
1706C2×C4—1724no—
1707C2×C4—1724no—
1708C2×C4—1724no—
1709C2×C4C22×C22⋊D4312yes—
1710C2×C4C22×C22⋊D4312yes—
1711C2×C4C22×C22⋊D4312yes—
1712C2×C4C22×C22⋊D4312yes—
1713C2×C4C22×C22⋊D4312yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
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—88no—
1750C22—862no—
1751C22—862no—
1752C22—862no—
1753C22—862no—
1754C22—862no—
1755C22—862no—
1756C22—17216no—
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
1773C22H(5,𝔽2)×D4311yescharacteristic
1774C22H(5,𝔽2)×D4311yescharacteristic
1775C22H(5,𝔽2)×D4311yescharacteristic
1776C22#1458373411yescharacteristic
1777C22#1458373511yescharacteristic
1778C22#1458373511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—862no—
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—81no—
1805C2—81no—
1806C2—81no—
1807C2—3441no—
1808C2—1722no—
1809C2—1722no—
1810C2#1914792411yescharacteristic
1811C2#1914822611yescharacteristic
1812C2#1914825711yescharacteristic
1813C2#1914876211yescharacteristic
1814C2#1914878411yescharacteristic
1815C2#1914886611yescharacteristic
1816C2#1914891011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#538C2
hypercenterC2×#538D43
hypocenterC43#36724
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#14583408C2semidirect
2. #19142884C2semidirect
3. #19142874C2semidirect
4. #19141262C2semidirect
5. #19141217C2semidirect
6. #19141187C2semidirect
7. #19141178C2semidirect
8. #19141012C2semidirect
9. #19140960C2semidirect
10. #19140947C2semidirect
11. #19140941C2semidirect
12. #19140929C2semidirect
13. #19140923C2semidirect
14. #19140920C2semidirect
15. #19140916C2semidirect
16. #19140842C2semidirect
17. #19140816C2semidirect
18. #19140809C2semidirect
19. #19140807C2semidirect
20. #19140480C2semidirect
21. #19140434C2semidirect
22. #19140284C2semidirect
23. #19140224C2semidirect
24. #19140194C2semidirect
25. #19140177C2semidirect
26. #19139567C2semidirect
27. #19139485C2semidirect
28. #19137940C2semidirect
29. #19137914C2semidirect
30. #19137238C2semidirect
31. C2×C43×#538C2semidirect
33. C23×C4×D43C22semidirect
35. C2×#13063314C22semidirect
37. C2×#13063310C22semidirect
41. C2×#13063304C22semidirect
42. C2×#13063303C22semidirect
43. C2×#13063302C22semidirect
44. C2×#13063299C22semidirect
49. C2×#13063295C22semidirect
52. C2×#13063294C22semidirect
56. C2×#13063293C22semidirect
57. C2×C4×D172C22semidirect
59. C2×C4×C22⋊D43C22semidirect
60. C2×#13063282C22semidirect
61. #14582837C22semidirect
62. #14582834C22semidirect
63. #14582832C22semidirect
64. #14582832C22semidirect
65. #14582829C22semidirect
66. #14582827C22semidirect
67. #14582827C22semidirect
68. #14582824C22semidirect
69. #14582822C22semidirect
70. #14582822C22semidirect
71. #14582822C22semidirect
72. #14582822C22semidirect
73. #14582821C22semidirect
74. #14582821C22semidirect
75. #14582818C22semidirect
76. #14582816C22semidirect
81. #14582815C22semidirect
82. #14582815C22semidirect
83. #14582815C22semidirect
84. #14582815C22semidirect
87. #14582814C22semidirect
88. #14582814C22semidirect
91. #14582813C22semidirect
92. #14582813C22semidirect
93. #14582813C22semidirect
94. #14582813C22semidirect
95. #14582811C22semidirect
96. #14582811C22semidirect
97. #14582810C22semidirect
106. #14582807C22semidirect
107. #14582807C22semidirect
108. #14582807C22semidirect
109. #14582806C22semidirect
110. #14582805C22semidirect
113. #14582802C22semidirect
114. #14582801C22semidirect
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. #14582789C22semidirect
132. #14582789C22semidirect
133. #14582789C22semidirect
134. #14582787C22semidirect
135. #14582787C22semidirect
136. #14582787C22semidirect
137. #14582783C22semidirect
138. #14582780C22semidirect
140. #14582779C22semidirect
142. #14582778C22semidirect
143. #14582778C22semidirect
150. #14582775C22semidirect
151. #14582775C22semidirect
152. #14582775C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
155. #14582772C22semidirect
156. #14582770C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582770C22semidirect
160. #14582770C22semidirect
161. #14582762C22semidirect
162. #14582762C22semidirect
163. #14582762C22semidirect
164. #14582760C22semidirect
165. #14582759C22semidirect
166. #14582759C22semidirect
167. #14582756C22semidirect
168. #14582756C22semidirect
169. #14582755C22semidirect
170. #14582754C22semidirect
171. C4×C4⋊Dic43C22semidirect
172. #14582745C22semidirect
174. C2×#126×C43C22semidirect
175. C2×#126×C43C22semidirect
177. C2×#124×C43C22semidirect
179. C2×#123×C43C22semidirect
180. C2×C22⋊Q8×C43C22semidirect
185. C2×#120×C43C22semidirect
187. C2×C4×D4×C43C22semidirect
188. C22×C22⋊C4×C43C22semidirect
367. C4×D4×C43D4semidirect
894. C2×#538D43semidirect
944. C2×#126C2×D43semidirect
945. C2×#126C2×D43semidirect
948. C2×#124C2×D43semidirect
955. C2×#123C2×D43semidirect
959. C2×C22⋊Q8C2×D43semidirect
977. C2×#120C2×D43semidirect
982. C2×C4×D4C2×D43semidirect
984. C22×C22⋊C4C2×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×#145834082
#191428842
#191428742
#191412622
#191412172
#191411872
#191411782
#191410122
#191409602
#191409472
#191409412
#191409292
#191409232
#191409202
#191409162
#191408422
#191408162
#191408092
#191408072
#191404802
#191404342
#191402842
#191402242
#191401942
#191401772
#191395672
#191394852
#191379402
#191379142
#191372382
C2×C43×#5382
#3672443