Finite Group Databasebeta

← #25303640

Subgroups — #25303640

Order 11008.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583495C211yesmaximal, characteristic, complemented
2C2×#14583412C211yesmaximal, characteristic, complemented
3#19142886C211yesmaximal, characteristic, complemented
4#19142879C211yesmaximal, characteristic, complemented
5#19141296C211yesmaximal, characteristic, complemented
6#19141289C211yesmaximal, characteristic, complemented
7#19141249C211yesmaximal, characteristic, complemented
8#19141242C211yesmaximal, characteristic, complemented
9#19141203C211yesmaximal, characteristic, complemented
10#19141176C211yesmaximal, characteristic, complemented
11#19141153C211yesmaximal, characteristic, complemented
12#19140993C211yesmaximal, characteristic, complemented
13#19140955C211yesmaximal, characteristic, complemented
14#19140950C211yesmaximal, characteristic, complemented
15#19140950C211yesmaximal, characteristic, complemented
16#19140939C211yesmaximal, characteristic, complemented
17#19140934C211yesmaximal, characteristic, complemented
18#19140921C211yesmaximal, characteristic, complemented
19#19140917C211yesmaximal, characteristic, complemented
20#19140521C211yesmaximal, characteristic, complemented
21#19140443C211yesmaximal, characteristic, complemented
22#19140292C211yesmaximal, characteristic, complemented
23#19140218C211yesmaximal, characteristic, complemented
24#19140195C211yesmaximal, characteristic, complemented
25#19140179C211yesmaximal, characteristic, complemented
26#19139937C211yesmaximal, characteristic, complemented
27#19139790C211yesmaximal, characteristic, complemented
28#19137942C211yesmaximal, characteristic, complemented
29#19137931C211yesmaximal, characteristic, complemented
30#19137234C211yesmaximal, characteristic, complemented
31C43×#2683C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583495—28no—
35C2×#13063320C2211yescharacteristic
36C2×#13063318C2211yescharacteristic, complemented
37C2×#13063315C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39#14583412—28no—
40C2×#13063310C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063310C2211yescharacteristic, complemented
45C2×#13063308C2211yescharacteristic
46C2×#13063307C2211yescharacteristic
47C2×#13063307C2211yescharacteristic
48C2×#13063307C2211yescharacteristic, complemented
49C2×#13063301C2211yescharacteristic
50C2×#13063301C2211yescharacteristic
51C2×#13063301C2211yescharacteristic
52C2×#13063301C2211yescharacteristic, complemented
53C2×#13063300C2211yescharacteristic
54C2×#13063299C2211yescharacteristic
55C2×#13063299C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063295C2211yescharacteristic
58C2×#13063295C2211yescharacteristic
59C2×#13063293C2211yescharacteristic
60C2×#13063287C2211yescharacteristic
61C2×#13063287C2211yescharacteristic
62C2×C4×C22⋊D43C2211yescharacteristic, complemented
63C2×(C22⋊D43)⋊C4C2211yescharacteristic
64C2×(C22⋊D43)⋊C4C2211yescharacteristic
65C2×#13063283C2211yescharacteristic
66C2×C4⋊C4×D43C2211yescharacteristic, complemented
67#14582841C2211yescharacteristic, complemented
68#14582834C2211yescharacteristic
69#14582832C2211yescharacteristic, complemented
70#14582832C2211yescharacteristic, complemented
71#14582832C2211yescharacteristic, complemented
72#14582832C2211yescharacteristic, complemented
73#14582832C2211yescharacteristic, complemented
74#14582829C2211yescharacteristic, complemented
75#14582829C2211yescharacteristic, complemented
76#14582828C2211yescharacteristic
77#14582828C2211yescharacteristic, complemented
78#14582827C2211yescharacteristic, complemented
79#14582826C2211yescharacteristic
80#14582826C2211yescharacteristic, complemented
81#14582825C2211yescharacteristic
82#14582825C2211yescharacteristic
83#14582822C2211yescharacteristic
84#14582822C2211yescharacteristic
85#14582821C2211yescharacteristic
86#14582821C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582818C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic
91#14582817C2211yescharacteristic
92#14582817C2211yescharacteristic
93#14582816C2211yescharacteristic
94#14582816C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582816C2211yescharacteristic, complemented
97#14582815C2211yescharacteristic
98#14582815C2211yescharacteristic
99#14582815C2211yescharacteristic
100#14582815C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic
102#14582814C2211yescharacteristic, complemented
103#14582810C2211yescharacteristic, complemented
104#14582808C2211yescharacteristic
105#14582808C2211yescharacteristic
106#14582808C2211yescharacteristic, complemented
107#14582807C2211yescharacteristic
108#14582807C2211yescharacteristic
109#14582806C2211yescharacteristic, complemented
110#14582801C2211yescharacteristic
111#14582800C2211yescharacteristic
112#14582800C2211yescharacteristic
113#14582799C2211yescharacteristic
114#14582799C2211yescharacteristic
115#14582799C2211yescharacteristic
116#14582799C2211yescharacteristic, complemented
117#14582798C2211yescharacteristic, complemented
118#14582798C2211yescharacteristic, complemented
119#14582794C2211yescharacteristic, complemented
120#14582793C2211yescharacteristic
121#14582792C2211yescharacteristic, complemented
122#14582792C2211yescharacteristic, complemented
123#14582791C2211yescharacteristic
124#14582791C2211yescharacteristic
125#14582791C2211yescharacteristic, complemented
126#14582790C2211yescharacteristic
127#14582790C2211yescharacteristic, complemented
128#14582789C2211yescharacteristic
129#14582789C2211yescharacteristic
130#14582789C2211yescharacteristic, complemented
131#14582787C2211yescharacteristic
132#14582785C2211yescharacteristic, complemented
133#14582784C2211yescharacteristic, complemented
134#14582781C2211yescharacteristic, complemented
135#14582781C2211yescharacteristic, complemented
136#14582779C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic, complemented
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic, complemented
144#14582774C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582773C2211yescharacteristic
147#14582773C2211yescharacteristic, complemented
148#14582773C2211yescharacteristic, complemented
149#14582772C2211yescharacteristic
150#14582772C2211yescharacteristic, complemented
151#14582771C2211yescharacteristic
152#14582771C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582768C2211yescharacteristic, complemented
161#14582763C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic
163#14582761C2211yescharacteristic
164#14582761C2211yescharacteristic, complemented
165#14582759C2211yescharacteristic
166#14582756C2211yescharacteristic
167#14582756C2211yescharacteristic
168#14582756C2211yescharacteristic, complemented
169#14582754C2211yescharacteristic
170#14582754C2211yescharacteristic
171#14582754C2211yescharacteristic
172C4⋊C4×Dic43C2211yescharacteristic, complemented
173#14582745C2211yescharacteristic, complemented
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic
176C2×C22⋊Q8×C43C2211yescharacteristic, complemented
177C2×C22⋊Q8×C43C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic
179C43×#396C2211yescharacteristic
180C43×#396C2211yescharacteristic, complemented
181C43×#396C2211yescharacteristic, complemented
182C43×#395C2211yescharacteristic, complemented
183C43×#395C2211yescharacteristic, complemented
184C43×#390C2211yescharacteristic
185C43×#389C2211yescharacteristic, complemented
186C43×#389C2211yescharacteristic, complemented
187C43×#386C2211yescharacteristic
188C43×#386C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C2×#10621902—24no—
191C2×#10621902—42no—
192C2×#10621902—42no—
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43—24no—
206C22×C4×D43—42no—
207C22×C4×D43—42no—
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216#13063320—24no—
217#13063318—24no—
218#13063315—24no—
219#13063315—24no—
220#13063310—24no—
221#13063310—24no—
222#13063310—24no—
223#13063310—42no—
224#13063310—42no—
225#13063308—24no—
226#13063307—24no—
227#13063307—24no—
228#13063307—42no—
229#13063301—24no—
230#13063301—24no—
231#13063301—24no—
232#13063301—42no—
233#13063300—24no—
234#13063299—24no—
235#13063299—42no—
236#13063298—24no—
237#13063295—24no—
238#13063295—24no—
239#13063293—42no—
240#13063287—24no—
241#13063287D418yescomplemented
242C4×C22⋊D43—24no—
243(C22⋊D43)⋊C4—24no—
244(C22⋊D43)⋊C4—24no—
245#13063283—24no—
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C4⋊C4×D43—24no—
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×(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×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
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
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C22×Q8×C43C2311yescharacteristic
347C22×Q8×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C22⋊Q8×C43—24no—
352C22⋊Q8×C43—24no—
353C22⋊Q8×C43—42no—
354C22⋊Q8×C43—42no—
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×Q8×C43—22no—
399C2×Q8×C43—22no—
400C2×Q8×C43—22no—
401C2×Q8×C43—41no—
402C2×Q8×C43—41no—
403C2×Q8×C43—41no—
404C2×D4×C43—22no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C22×Dic43—22no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459#10621902—416no—
460C2×D172—22no—
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—22no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172C2×D414yes—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×C4×D43—41no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C2×C4×D43—41no—
492C2×C4×D43—41no—
493C2×C4×D43—41no—
494C2×C4×D43—41no—
495C2×C4×D43—41no—
496C2×C4×D43—41no—
497C2×C4×D43—416no—
498C2×C4×D43C2×D414yes—
499C2×C4×D43C2×D414yes—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—22no—
503C4⋊C4×C43—22no—
504C4⋊C4×C43—22no—
505C4⋊C4×C43—22no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C4⋊C4×C43—41no—
511C4⋊C4×C43—41no—
512C4⋊C4×C43C2×D414yes—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—22no—
517C22⋊C4×C43—22no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C42×C43—41no—
524C22⋊Dic43—22no—
525C22⋊Dic43—22no—
526C22⋊Dic43—22no—
527C22⋊Dic43—41no—
528C22⋊Dic43—41no—
529C22⋊Dic43—41no—
530C22⋊Dic43—41no—
531C22⋊Dic43—41no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550(C2×D43)⋊C4—41no—
551(C2×D43)⋊C4—41no—
552(C2×D43)⋊C4—41no—
553(C2×D43)⋊C4—41no—
554(C2×D43)⋊C4—41no—
555(C2×D43)⋊C4—41no—
556(C2×D43)⋊C4—41no—
557(C2×D43)⋊C4—41no—
558(C2×D43)⋊C4—41no—
559(C2×D43)⋊C4—41no—
560(C2×D43)⋊C4—41no—
561(C2×D43)⋊C4—41no—
562(C2×D43)⋊C4—41no—
563(C2×D43)⋊C4—41no—
564(C2×D43)⋊C4C2×D414yes—
565(C2×D43)⋊C4C2×D414yes—
566C4⋊Dic43—22no—
567C4⋊Dic43—22no—
568C4⋊Dic43—22no—
569C4⋊Dic43—22no—
570C4⋊Dic43—41no—
571C4⋊Dic43—41no—
572C4⋊Dic43—41no—
573C4⋊Dic43—41no—
574C4⋊Dic43—41no—
575Dic43⋊C4—22no—
576Dic43⋊C4—22no—
577Dic43⋊C4—22no—
578Dic43⋊C4—22no—
579Dic43⋊C4—22no—
580Dic43⋊C4—22no—
581Dic43⋊C4—22no—
582Dic43⋊C4—22no—
583Dic43⋊C4—22no—
584Dic43⋊C4—22no—
585Dic43⋊C4—22no—
586Dic43⋊C4—41no—
587Dic43⋊C4—41no—
588Dic43⋊C4—41no—
589Dic43⋊C4—41no—
590Dic43⋊C4—41no—
591C4×Dic43—22no—
592C4×Dic43—22no—
593C4×Dic43—41no—
594C4×Dic43—41no—
595C4×Dic43—41no—
596C4×Dic43C2×D414yes—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C432−1+412yes—
611C23×C43C2511yescharacteristic
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43—44no—
644C22×D43C22×D412yes—
645C22×D43C22×D412yes—
646C22×D43H(5,𝔽2)12yes—
647Q8×C43—44no—
648Q8×C43—82no—
649D4×C43—82no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—44no—
686C2×C4×C43—82no—
687C2×C4×C43C22×D412yes—
688C2×C4×C43C22×D412yes—
689C2×C4×C43C22×D412yes—
690C2×C4×C43H(5,𝔽2)12yes—
691C22⋊D43—44no—
692C22⋊D43—44no—
693C22⋊D43—44no—
694C22⋊D43—82no—
695C22⋊D43—82no—
696C22⋊D43—82no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—44no—
732C2×Dic43C22×D412yes—
733C2×Dic43C22×D412yes—
734D172—44no—
735D172—44no—
736D172—44no—
737D172—44no—
738D172—44no—
739C4×D43—28no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—44no—
744C4×D43—44no—
745C4×D43—44no—
746C4×D43—82no—
747#36723—431nomaximal, Sylow
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—22no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43C23×D411yescharacteristic
763C22×C43C2×H(5,𝔽2)11yescharacteristic
764C22×C43C2×H(5,𝔽2)11yescharacteristic
765C22×C43C2×2−1+411yescharacteristic
766C22×C43#58511yescharacteristic
767C22×C43#58511yescharacteristic
768C22×C43#58511yescharacteristic
769C2×D43—22no—
770C2×D43—22no—
771C2×D43—22no—
772C2×D43—22no—
773C2×D43—22no—
774C2×D43—22no—
775C2×D43—22no—
776C2×D43—22no—
777C2×D43—22no—
778C2×D43—416no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—22no—
801C4×C43—22no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811Dic43—22no—
812Dic43—22no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823C2×#539—431no—
824C2×#525—431no—
825#2849—431no—
826#2848—431no—
827#2707—431no—
828#2706—431no—
829#2704—431no—
830#2703—431no—
831#2701—431no—
832#2698—431no—
833#2697—431no—
834#2685—431no—
835#2683D4311yescharacteristic, complemented
836#2682—431no—
837#2681—431no—
838#2681—431no—
839#2680—431no—
840#2680—431no—
841#2678—431no—
842#2678—431no—
843#2638—431no—
844#2630—431no—
845#2611—431no—
846#2603—431no—
847#2601—431no—
848#2600—431no—
849#2579—431no—
850#2566—431no—
851#2407—431no—
852#2406—431no—
853#2319—431no—
854C2×C43—42no—
855C2×C43—81no—
856C2×C43#344911yescharacteristic
857C2×C43#348411yescharacteristic
858C2×C43#348911yescharacteristic
859C2×C43#353311yescharacteristic
860C2×C43#353511yescharacteristic
861C2×C43#353911yescharacteristic
862C2×C43#354111yescharacteristic
863D43—42no—
864D43—42no—
865D43—42no—
866D43—81no—
867C22×#41—431no—
868C24×C4—431no—
869#539—868no—
870C2×#126—431no—
871C2×#126—431no—
872C2×#125—431no—
873C2×#125—431no—
874#525—868no—
875C2×#123—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123—431no—
881C2×#123—431no—
882C2×#123—431no—
883C2×#123—431no—
884C2×C22⋊Q8—431no—
885C2×C22⋊Q8—431no—
886C2×C22⋊Q8—431no—
887C2×C22⋊Q8—431no—
888C2×C22⋊Q8C2×D4311yescharacteristic
889C2×C22⋊Q8C2×D4311yescharacteristic
890C2×C22⋊Q8C2×D4311yescharacteristic, complemented
891C2×C22⋊Q8C2×D4311yescharacteristic, complemented
892C2×#121—431no—
893C2×#121—431no—
894C2×#121—431no—
895C2×#121—431no—
896C2×#120—431no—
897C2×#120—431no—
898C2×#120—431no—
899C2×C4×D4—431no—
900C2×C4×D4—431no—
901C2×C4×D4—431no—
902C2×C4×D4—431no—
903C2×C4×D4—431no—
904C2×#117—431no—
905C22×C4⋊C4—431no—
906#400—431no—
907#399—431no—
908#398—431no—
909#398—431no—
910#398—431no—
911#398—431no—
912#398—431no—
913#398—431no—
914#398—431no—
915#397—431no—
916#397—431no—
917#397—431no—
918#397—431no—
919#397—431no—
920#397—431no—
921#397—431no—
922#396—431no—
923#396—431no—
924#396—431no—
925#396—431no—
926#396—431no—
927#396—431no—
928#396C2×D4311yescharacteristic
929#396C2×D4311yescharacteristic
930#396C2×D4311yescharacteristic, complemented
931#396C2×D4311yescharacteristic, complemented
932#395—431no—
933#395C2×D4311yescharacteristic, complemented
934#395C2×D4311yescharacteristic, complemented
935#394—431no—
936#394—431no—
937#394—431no—
938#394—431no—
939#394—431no—
940#394—431no—
941#394—431no—
942#394—431no—
943#394—431no—
944#394—431no—
945#394—431no—
946#394—431no—
947#394—431no—
948#393—431no—
949#392—431no—
950#392—431no—
951#392—431no—
952#392—431no—
953#392—431no—
954#391—431no—
955#390—431no—
956#390—431no—
957#390—431no—
958#390—431no—
959#390—431no—
960#390—431no—
961#390—431no—
962#390C2×D4311yescharacteristic
963#389—431no—
964#389—431no—
965#389—431no—
966#389C2×D4311yescharacteristic, complemented
967#389C2×D4311yescharacteristic, complemented
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388—431no—
978#388—431no—
979#388—431no—
980#387—431no—
981#387—431no—
982#387—431no—
983#387—431no—
984#386—431no—
985#386—431no—
986#386—431no—
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386C2×D4311yescharacteristic
993#386C2×D4311yescharacteristic
994#385—431no—
995#385—431no—
996#385—431no—
997#385—431no—
998#385—431no—
999#385—431no—
1000#385—431no—
1001#385—431no—
1002#385—431no—
1003#385—431no—
1004#385—431no—
1005#385—431no—
1006#385—431no—
1007#385—431no—
1008#385—431no—
1009#385—431no—
1010#384—431no—
1011#382—431no—
1012#381—431no—
1013#381—431no—
1014#381—431no—
1015#380—431no—
1016#380—431no—
1017#380—431no—
1018#380—431no—
1019#379—431no—
1020#379—431no—
1021#379—431no—
1022C4×C4⋊C4—431no—
1023#376—431no—
1024C43#3672311yescharacteristic, complemented, Sylow
1025C25—431no—
1026C2×#41—864no—
1027C2×#41—1722no—
1028C2×#41—1722no—
1029C22×Q8C22×D4311yescharacteristic
1030C22×Q8C22×D4311yescharacteristic
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4—431no—
1038C22×D4—431no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—431no—
1042C22×D4C22×D4311yescharacteristic
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—431no—
1047C23×C4—431no—
1048C23×C4—431no—
1049C23×C4—431no—
1050C23×C4—431no—
1051C23×C4—431no—
1052C23×C4—864no—
1053C23×C4—1722no—
1054C23×C4—1722no—
1055C23×C4C22×D4311yescharacteristic
1056C23×C4C22×D4311yescharacteristic
1057#126—864no—
1058#126—864no—
1059#125—864no—
1060#125—864no—
1061#123—864no—
1062#123—864no—
1063#123—864no—
1064#123—864no—
1065#123—864no—
1066#123—864no—
1067#123—1722no—
1068#123—1722no—
1069#123—1722no—
1070C22⋊Q8—24no—
1071C22⋊Q8—24no—
1072C22⋊Q8—42no—
1073C22⋊Q8—42no—
1074C22⋊Q8—864no—
1075C22⋊Q8—864no—
1076C22⋊Q8—864no—
1077C22⋊Q8—1722no—
1078#121—864no—
1079#121—864no—
1080#121—864no—
1081#121—1722no—
1082#120—864no—
1083#120—864no—
1084#120—1722no—
1085C4×D4—438no—
1086C4×D4—864no—
1087C4×D4—864no—
1088C4×D4—864no—
1089C4×D4—864no—
1090#117—864no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—431no—
1095C2×C4⋊C4—431no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—431no—
1101C2×C4⋊C4—431no—
1102C2×C4⋊C4—431no—
1103C2×C4⋊C4—431no—
1104C2×C4⋊C4—431no—
1105C2×C4⋊C4—431no—
1106C2×C4⋊C4—431no—
1107C2×C4⋊C4—431no—
1108C2×C4⋊C4—431no—
1109C2×C4⋊C4—431no—
1110C2×C4⋊C4—431no—
1111C2×C4⋊C4—431no—
1112C2×C4⋊C4—431no—
1113C2×C4⋊C4—431no—
1114C2×C4⋊C4—431no—
1115C2×C4⋊C4—431no—
1116C2×C4⋊C4—864no—
1117C2×C4⋊C4C22×D4311yescharacteristic
1118C2×C4⋊C4C22×D4311yescharacteristic
1119C2×C4⋊C4C22×D4311yescharacteristic
1120C2×C4⋊C4C22×D4311yescharacteristic
1121C2×C4⋊C4C22×D4311yescharacteristic
1122C2×C4⋊C4C22×D4311yescharacteristic
1123C2×C4⋊C4C22×D4311yescharacteristic
1124C2×C4⋊C4C22×D4311yescharacteristic
1125C2×C4⋊C4C22×D4311yescharacteristic
1126C2×C4⋊C4C22×D4311yescharacteristic
1127C2×C4⋊C4C22×D4311yescharacteristic
1128C2×C4⋊C4C22×D4311yescharacteristic
1129C2×C4⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4C22×D4311yescharacteristic
1173C2×C22⋊C4C22×D4311yescharacteristic
1174C2×C22⋊C4C22×D4311yescharacteristic
1175C2×C22⋊C4C22×D4311yescharacteristic
1176C2×C22⋊C4C22×D4311yescharacteristic
1177C2×C22⋊C4C22×D4311yescharacteristic
1178C2×C22⋊C4C22×D4311yescharacteristic
1179C2×C22⋊C4C22×D4311yescharacteristic
1180C2×C22⋊C4C22×D4311yescharacteristic
1181C2×C22⋊C4C22×D4311yescharacteristic
1182C2×C42—431no—
1183C2×C42—431no—
1184C2×C42—431no—
1185C2×C42—431no—
1186C2×C42—431no—
1187C2×C42—431no—
1188C2×C42C22×D4311yescharacteristic
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95—431no—
1208#95—431no—
1209#95—431no—
1210#95—431no—
1211#95—431no—
1212#95—431no—
1213#95—431no—
1214#95—431no—
1215#95C22×D4311yescharacteristic
1216#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219#95C22×D4311yescharacteristic
1220#95C22×D4311yescharacteristic
1221C24—431no—
1222C24—431no—
1223C24—431no—
1224C24—431no—
1225C24—862no—
1226C24—862no—
1227C24—862no—
1228C24—1721no—
1229C24—1721no—
1230C24—1721no—
1231C24—1721no—
1232C24C23×D4311yescharacteristic
1233C24C23×D4311yescharacteristic
1234#41—17216no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—41no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—434no—
1245C2×D4—862no—
1246C2×D4—862no—
1247C2×D4—862no—
1248C2×D4—862no—
1249C2×D4—862no—
1250C2×D4—862no—
1251C2×D4—862no—
1252C2×D4—862no—
1253C2×D4—862no—
1254C2×D4—862no—
1255C2×D4—862no—
1256C2×D4—862no—
1257C2×D4—862no—
1258C2×D4—862no—
1259C2×D4—1721no—
1260C2×D4—1721no—
1261C2×D4—1721no—
1262C2×D4—1721no—
1263C2×D4—1721no—
1264C2×D4—1721no—
1265C2×D4—1721no—
1266C2×D4—1721no—
1267C2×D4—1721no—
1268C2×D4—1721no—
1269C2×D4—1721no—
1270C2×D4—1721no—
1271C2×D4—1721no—
1272C2×D4—1721no—
1273C2×D4—1721no—
1274C2×D4—1721no—
1275C2×D4—1721no—
1276C2×D4—1721no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—431no—
1284C22×C4—431no—
1285C22×C4—434no—
1286C22×C4—434no—
1287C22×C4—431no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—862no—
1307C22×C4—862no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4—1721no—
1313C22×C4—1721no—
1314C22×C4—1721no—
1315C22×C4—1721no—
1316C22×C4—1721no—
1317C22×C4—1721no—
1318C22×C4—1721no—
1319C22×C4—1721no—
1320C22×C4—17216no—
1321C22×C4—1721no—
1322C22×C4—1721no—
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C22×C4C23×D4311yescharacteristic
1326C22×C4C23×D4311yescharacteristic
1327C22×C4C23×D4311yescharacteristic
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335C22×C4C23×D4311yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—862no—
1349C4⋊C4—862no—
1350C4⋊C4—862no—
1351C4⋊C4—862no—
1352C4⋊C4—862no—
1353C4⋊C4—862no—
1354C4⋊C4—862no—
1355C4⋊C4—862no—
1356C4⋊C4—862no—
1357C4⋊C4—862no—
1358C4⋊C4—862no—
1359C4⋊C4—862no—
1360C4⋊C4—862no—
1361C4⋊C4—862no—
1362C4⋊C4—862no—
1363C4⋊C4—1721no—
1364C4⋊C4—1721no—
1365C4⋊C4—1721no—
1366C4⋊C4—1721no—
1367C4⋊C4—1721no—
1368C4⋊C4—1721no—
1369C4⋊C4—1721no—
1370C4⋊C4—1721no—
1371C4⋊C4—1721no—
1372C4⋊C4—1721no—
1373C4⋊C4D4×D4314yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—434no—
1385C22⋊C4—434no—
1386C22⋊C4—862no—
1387C22⋊C4—862no—
1388C22⋊C4—862no—
1389C22⋊C4—862no—
1390C22⋊C4—862no—
1391C22⋊C4—862no—
1392C22⋊C4—862no—
1393C22⋊C4—862no—
1394C22⋊C4—862no—
1395C22⋊C4—862no—
1396C22⋊C4—862no—
1397C22⋊C4—862no—
1398C22⋊C4—862no—
1399C22⋊C4—862no—
1400C22⋊C4—862no—
1401C22⋊C4—862no—
1402C22⋊C4—1721no—
1403C22⋊C4—1721no—
1404C22⋊C4—1721no—
1405C22⋊C4—1721no—
1406C22⋊C4—1721no—
1407C22⋊C4—1721no—
1408C22⋊C4—1721no—
1409C22⋊C4—1721no—
1410C22⋊C4—1721no—
1411C22⋊C4—1721no—
1412C22⋊C4—1721no—
1413C22⋊C4—1721no—
1414C22⋊C4—1721no—
1415C22⋊C4—1721no—
1416C22⋊C4—1721no—
1417C22⋊C4—1721no—
1418C22⋊C4—1721no—
1419C22⋊C4—1721no—
1420C22⋊C4—1721no—
1421C22⋊C4—1721no—
1422C22⋊C4—1721no—
1423C22⋊C4—1721no—
1424C22⋊C4—1721no—
1425C22⋊C4—1721no—
1426C42—41no—
1427C42—434no—
1428C42—862no—
1429C42—862no—
1430C42—1721no—
1431C42—1721no—
1432C42—1721no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—432no—
1447C23—432no—
1448C23—432no—
1449C23—861no—
1450C23—861no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—861no—
1471C23—861no—
1472C23—861no—
1473C23—861no—
1474C23—1724no—
1475C23—1724no—
1476C23—1724no—
1477C23—1724no—
1478C23—1724no—
1479C23—1724no—
1480C23—1724no—
1481C23#1306337312yes—
1482C23C24×D4311yescharacteristic
1483Q8—44no—
1484Q8—82no—
1485D4—82no—
1486D4—3442no—
1487D4—3442no—
1488D4—3442no—
1489D4—1724no—
1490D4—1724no—
1491D4—1724no—
1492D4—1724no—
1493D4—1724no—
1494D4—1724no—
1495D4—1724no—
1496D4—1724no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—432no—
1535C2×C4—432no—
1536C2×C4—868no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—3442no—
1572C2×C4—1724no—
1573C2×C4—1724no—
1574C2×C4—1724no—
1575C2×C4—1724no—
1576C2×C4—1724no—
1577C2×C4—1724no—
1578C2×C4—1724no—
1579C2×C4C2×D4×D4312yes—
1580C2×C4C2×D4×D4312yes—
1581C2×C4C2×D4×D4312yes—
1582C2×C4#1306337012yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—862no—
1598C22—862no—
1599C22—862no—
1600C22—862no—
1601C22—862no—
1602C22—862no—
1603C22—862no—
1604C22—862no—
1605C22—862no—
1606C22—17216no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22C22×D4×D4311yescharacteristic
1627C22H(5,𝔽2)×D4311yescharacteristic
1628C22C2×#1306337011yescharacteristic
1629C22C2×#1306337311yescharacteristic
1630C22#1458373411yescharacteristic
1631C22#1458373611yescharacteristic
1632C22#1458373611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—862no—
1647C4—862no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4—1721no—
1656C4—1721no—
1657C4—1721no—
1658C2—42no—
1659C2—81no—
1660C2—3441no—
1661C2—1722no—
1662C2—1722no—
1663C2—1722no—
1664C2#1914792311yescharacteristic
1665C2#1914822311yescharacteristic
1666C2#1914827211yescharacteristic
1667C2#1914877111yescharacteristic
1668C2#1914880911yescharacteristic
1669C2#1914884811yescharacteristic
1670C2#1914889311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2683C2
hypercenter#2683D43
hypocenterC43#36723
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2683

Complements

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

NH ≅ G/Ntype
1. C2×#14583495C2semidirect
2. C2×#14583412C2semidirect
3. #19142886C2semidirect
4. #19142879C2semidirect
5. #19141296C2semidirect
6. #19141289C2semidirect
7. #19141249C2semidirect
8. #19141242C2semidirect
9. #19141203C2semidirect
10. #19141176C2semidirect
11. #19141153C2semidirect
12. #19140993C2semidirect
13. #19140955C2semidirect
14. #19140950C2semidirect
15. #19140950C2semidirect
16. #19140939C2semidirect
17. #19140934C2semidirect
18. #19140921C2semidirect
19. #19140917C2semidirect
20. #19140521C2semidirect
21. #19140443C2semidirect
22. #19140292C2semidirect
23. #19140218C2semidirect
24. #19140195C2semidirect
25. #19140179C2semidirect
26. #19139937C2semidirect
27. #19139790C2semidirect
28. #19137942C2semidirect
29. #19137931C2semidirect
30. #19137234C2semidirect
31. C43×#2683C2semidirect
36. C2×#13063318C22semidirect
37. C2×#13063315C22semidirect
38. C2×#13063315C22semidirect
44. C2×#13063310C22semidirect
48. C2×#13063307C22semidirect
52. C2×#13063301C22semidirect
62. C2×C4×C22⋊D43C22semidirect
66. C2×C4⋊C4×D43C22semidirect
67. #14582841C22semidirect
69. #14582832C22semidirect
70. #14582832C22semidirect
71. #14582832C22semidirect
72. #14582832C22semidirect
73. #14582832C22semidirect
74. #14582829C22semidirect
75. #14582829C22semidirect
77. #14582828C22semidirect
78. #14582827C22semidirect
80. #14582826C22semidirect
86. #14582821C22semidirect
87. #14582821C22semidirect
88. #14582821C22semidirect
89. #14582818C22semidirect
96. #14582816C22semidirect
100. #14582815C22semidirect
102. #14582814C22semidirect
103. #14582810C22semidirect
106. #14582808C22semidirect
109. #14582806C22semidirect
116. #14582799C22semidirect
117. #14582798C22semidirect
118. #14582798C22semidirect
119. #14582794C22semidirect
121. #14582792C22semidirect
122. #14582792C22semidirect
125. #14582791C22semidirect
127. #14582790C22semidirect
130. #14582789C22semidirect
132. #14582785C22semidirect
133. #14582784C22semidirect
134. #14582781C22semidirect
135. #14582781C22semidirect
138. #14582777C22semidirect
143. #14582775C22semidirect
147. #14582773C22semidirect
148. #14582773C22semidirect
150. #14582772C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582770C22semidirect
160. #14582768C22semidirect
161. #14582763C22semidirect
164. #14582761C22semidirect
168. #14582756C22semidirect
172. C4⋊C4×Dic43C22semidirect
173. #14582745C22semidirect
176. C2×C22⋊Q8×C43C22semidirect
177. C2×C22⋊Q8×C43C22semidirect
180. C43×#396C22semidirect
181. C43×#396C22semidirect
182. C43×#395C22semidirect
183. C43×#395C22semidirect
185. C43×#389C22semidirect
186. C43×#389C22semidirect
241. #13063287D4semidirect
835. #2683D43semidirect
890. C2×C22⋊Q8C2×D43semidirect
891. C2×C22⋊Q8C2×D43semidirect
930. #396C2×D43semidirect
931. #396C2×D43semidirect
933. #395C2×D43semidirect
934. #395C2×D43semidirect
966. #389C2×D43semidirect
967. #389C2×D43semidirect
1024. C43#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#145834952
C2×#145834122
#191428862
#191428792
#191412962
#191412892
#191412492
#191412422
#191412032
#191411762
#191411532
#191409932
#191409552
#191409502
#191409392
#191409342
#191409212
#191409172
#191405212
#191404432
#191402922
#191402182
#191401952
#191401792
#191399372
#191397902
#191379422
#191379312
#191372342
C43×#26832
#3672343