Finite Group Databasebeta

← #25264361

Subgroups — #25264361

Order 11008.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583428C211yesmaximal, characteristic, complemented
2C2×C4×D4×D43C211yesmaximal, characteristic, complemented
3#19138862C211yesmaximal, characteristic, complemented
4#19138839C211yesmaximal, characteristic, complemented
5#19138740C211yesmaximal, characteristic, complemented
6#19138717C211yesmaximal, characteristic, complemented
7#19138648C211yesmaximal, characteristic, complemented
8#19138625C211yesmaximal, characteristic, complemented
9#19138547C211yesmaximal, characteristic, complemented
10#19138416C211yesmaximal, characteristic, complemented
11#19138342C211yesmaximal, characteristic, complemented
12#19138255C211yesmaximal, characteristic, complemented
13#19138151C211yesmaximal, characteristic, complemented
14#19138069C211yesmaximal, characteristic, complemented
15#19137986C211yesmaximal, characteristic, complemented
16#19137962C211yesmaximal, characteristic
17#19137917C211yesmaximal, characteristic, complemented
18#19137877C211yesmaximal, characteristic, complemented
19#19137851C211yesmaximal, characteristic, complemented
20#19137838C211yesmaximal, characteristic, complemented
21#19137830C211yesmaximal, characteristic, complemented
22#19137133C211yesmaximal, characteristic, complemented
23#19137116C211yesmaximal, characteristic, complemented
24#19137107C211yesmaximal, characteristic, complemented
25#19137100C211yesmaximal, characteristic, complemented
26#19137100C211yesmaximal, characteristic, complemented
27#19137037C211yesmaximal, characteristic, complemented
28#19137037C211yesmaximal, characteristic, complemented
29#19136975C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2459C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35#14583428—28no—
36C2×#13063318C2211yescharacteristic, complemented
37C2×#13063318C2211yescharacteristic, complemented
38C2×#13063317C2211yescharacteristic, complemented
39C2×#13063310C2211yescharacteristic
40C2×#13063307C2211yescharacteristic
41C2×#13063307C2211yescharacteristic, complemented
42C2×#13063301C2211yescharacteristic
43C2×#13063301C2211yescharacteristic, complemented
44C2×#13063298C2211yescharacteristic
45C2×#13063296C2211yescharacteristic
46C2×#13063293C2211yescharacteristic
47C2×#13063293C2211yescharacteristic
48C2×Q8×Dic43C2211yescharacteristic, complemented
49C2×C4×D172C2211yescharacteristic
50C2×D4×Dic43C2211yescharacteristic
51C2×D4×Dic43C2211yescharacteristic, complemented
52C2×D4×Dic43C2211yescharacteristic, complemented
53C2×#13063287C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic
55C2×C4×C22⋊D43C2211yescharacteristic
56C2×(C22⋊D43)⋊C4C2211yescharacteristic
57C2×(C22⋊D43)⋊C4C2211yescharacteristic
58C2×(C22⋊D43)⋊C4C2211yescharacteristic
59C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
61C4×D4×D43—28no—
62C2×#13063281C2211yescharacteristic, complemented
63C2×#13063281C2211yescharacteristic, complemented
64C2×#13063281C2211yescharacteristic, complemented
65C2×C4⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71C2×C42×D43C2211yescharacteristic, complemented
72C2×C42×D43C2211yescharacteristic, complemented
73#14582841C2211yescharacteristic, complemented
74#14582841C2211yescharacteristic, complemented
75#14582841C2211yescharacteristic, complemented
76#14582835C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582831C2211yescharacteristic, complemented
80#14582827C2211yescharacteristic, complemented
81#14582827C2211yescharacteristic, complemented
82#14582827C2211yescharacteristic, complemented
83#14582826C2211yescharacteristic, complemented
84#14582824C2211yescharacteristic, complemented
85#14582824C2211yescharacteristic, complemented
86#14582824C2211yescharacteristic, complemented
87#14582822C2211yescharacteristic, complemented
88#14582822C2211yescharacteristic, complemented
89#14582822C2211yescharacteristic, complemented
90#14582821C2211yescharacteristic, complemented
91#14582815C2211yescharacteristic
92#14582815C2211yescharacteristic
93#14582815C2211yescharacteristic, complemented
94#14582814C2211yescharacteristic
95#14582813C2211yescharacteristic
96#14582813C2211yescharacteristic
97#14582813C2211yescharacteristic, complemented
98#14582813C2211yescharacteristic, complemented
99#14582810C2211yescharacteristic, complemented
100#14582807C2211yescharacteristic
101#14582799C2211yescharacteristic, complemented
102#14582797C2211yescharacteristic, complemented
103#14582794C2211yescharacteristic, complemented
104#14582792C2211yescharacteristic, complemented
105#14582792C2211yescharacteristic, complemented
106#14582791C2211yescharacteristic, complemented
107#14582790C2211yescharacteristic, complemented
108#14582790C2211yescharacteristic, complemented
109#14582786C2211yescharacteristic, complemented
110#14582786C2211yescharacteristic, complemented
111#14582783C2211yescharacteristic, complemented
112#14582783C2211yescharacteristic, complemented
113#14582781C2211yescharacteristic, complemented
114#14582781C2211yescharacteristic, complemented
115#14582780C2211yescharacteristic, complemented
116#14582777C2211yescharacteristic
117#14582777C2211yescharacteristic
118#14582775C2211yescharacteristic
119#14582775C2211yescharacteristic
120#14582775C2211yescharacteristic
121#14582775C2211yescharacteristic
122#14582775C2211yescharacteristic
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic, complemented
125#14582775C2211yescharacteristic, complemented
126#14582775C2211yescharacteristic, complemented
127#14582773C2211yescharacteristic
128#14582773C2211yescharacteristic
129#14582773C2211yescharacteristic
130#14582773C2211yescharacteristic
131#14582773C2211yescharacteristic
132#14582773C2211yescharacteristic, complemented
133#14582773C2211yescharacteristic, complemented
134#14582773C2211yescharacteristic, complemented
135#14582773C2211yescharacteristic, complemented
136#14582772C2211yescharacteristic, complemented
137#14582772C2211yescharacteristic, complemented
138#14582770C2211yescharacteristic
139#14582770C2211yescharacteristic, complemented
140#14582762C2211yescharacteristic, complemented
141#14582761C2211yescharacteristic, complemented
142#14582758C2211yescharacteristic
143#14582758C2211yescharacteristic
144#14582758C2211yescharacteristic, complemented
145#14582758C2211yescharacteristic, complemented
146#14582758C2211yescharacteristic, complemented
147#14582756C2211yescharacteristic
148#14582754C2211yescharacteristic
149#14582754C2211yescharacteristic
150#14582754C2211yescharacteristic
151#14582754C2211yescharacteristic
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154#14582750C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156C22⋊C4×Dic43C2211yescharacteristic, complemented
157C22⋊C4×Dic43C2211yescharacteristic, complemented
158C22⋊C4×Dic43C2211yescharacteristic, complemented
159C22⋊C4×Dic43C2211yescharacteristic, complemented
160C22⋊C4×Dic43C2211yescharacteristic, complemented
161C4×(C2×D43)⋊C4C2211yescharacteristic
162C4×(C2×D43)⋊C4C2211yescharacteristic
163C4×C22⋊Dic43C2211yescharacteristic, complemented
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic
166#14582746C2211yescharacteristic
167#14582746C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582744C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×#124×C43C2211yescharacteristic, complemented
175C2×C4×D4×C43C2211yescharacteristic
176C43×#394C2211yescharacteristic
177C43×#394C2211yescharacteristic, complemented
178C43×#393C2211yescharacteristic, complemented
179C43×#392C2211yescharacteristic
180C43×#391C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#387C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic, complemented
187C43×#381C2211yescharacteristic, complemented
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C2×D4×D43—24no—
198C2×D4×D43—24no—
199C2×D4×D43—24no—
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C22×C4×D43—24no—
204C22×C4×D43—24no—
205C22×C4×D43—24no—
206C22×C4×D43—24no—
207C22×C4×D43—42no—
208C22×C4×D43—42no—
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222#13063318—24no—
223#13063318—24no—
224#13063317—24no—
225#13063310—24no—
226#13063307—24no—
227#13063307—24no—
228#13063301—24no—
229#13063301—24no—
230#13063298—24no—
231#13063296—24no—
232#13063293—24no—
233#13063293—24no—
234Q8×Dic43—24no—
235C4×D172—24no—
236D4×Dic43—24no—
237D4×Dic43—24no—
238D4×Dic43—42no—
239#13063287—24no—
240C4×C22⋊D43—24no—
241C4×C22⋊D43—24no—
242(C22⋊D43)⋊C4—24no—
243(C22⋊D43)⋊C4—24no—
244(C22⋊D43)⋊C4—24no—
245(C22⋊D43)⋊C4—42no—
246(C22⋊D43)⋊C4D418yescomplemented
247#13063281—24no—
248#13063281—24no—
249#13063281—42no—
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
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
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C4⋊C4×D43—24no—
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×C22⋊Dic43C2311yescharacteristic
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
309C22⋊C4×D43—24no—
310C22⋊C4×D43—24no—
311C22⋊C4×D43—24no—
312C22⋊C4×D43—24no—
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C42×D43—24no—
326C42×D43—24no—
327C42×D43—42no—
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
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×Q8×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C22×D4×C43C2311yescharacteristic
357C22×D4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360#124×C43—24no—
361C4×D4×C43—24no—
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊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
379C2×C42×C43C2311yescharacteristic
380C2×C42×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—22no—
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43#4114yes—
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C2×Q8×C43—22no—
412C2×Q8×C43—22no—
413C2×Q8×C43—41no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C2×D4×C43—22no—
417C2×D4×C43—22no—
418C2×D4×C43—22no—
419C2×D4×C43—22no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C22×C4×C43—22no—
424C22×C4×C43—22no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—41no—
428C22×C4×C43—41no—
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43C2×D414yes—
456C22×Dic43—22no—
457C22×Dic43—22no—
458C22×Dic43—22no—
459C22×Dic43—22no—
460C22×Dic43—22no—
461C22×Dic43—22no—
462C22×Dic43—22no—
463C22×Dic43—22no—
464C22×Dic43C2×D414yes—
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478D4×D43—232no—
479C2×D172—22no—
480C2×D172—22no—
481C2×D172#4114yes—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—22no—
486C2×C4×D43—22no—
487C2×C4×D43—22no—
488C2×C4×D43—22no—
489C2×C4×D43—22no—
490C2×C4×D43—22no—
491C2×C4×D43—22no—
492C2×C4×D43—22no—
493C2×C4×D43—22no—
494C2×C4×D43—22no—
495C2×C4×D43—22no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—416no—
520C2×C4×D43—416no—
521C2×C4×D43C2×D414yes—
522C2×C4×D43#4114yes—
523C4⋊C4×C43—22no—
524C4⋊C4×C43—22no—
525C4⋊C4×C43—41no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—22no—
529C22⋊C4×C43—22no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—22no—
532C22⋊C4×C43—22no—
533C22⋊C4×C43—22no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—41no—
538C22⋊C4×C43C2×D414yes—
539C42×C43—22no—
540C42×C43—22no—
541C42×C43—41no—
542C22⋊Dic43—22no—
543C22⋊Dic43—22no—
544C22⋊Dic43—22no—
545C22⋊Dic43—22no—
546C22⋊Dic43—22no—
547C22⋊Dic43—22no—
548C22⋊Dic43—22no—
549C22⋊Dic43—22no—
550C22⋊Dic43—22no—
551C22⋊Dic43—22no—
552C22⋊Dic43—41no—
553C22⋊Dic43—41no—
554C22⋊Dic43—41no—
555C22⋊Dic43—41no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—22no—
558(C2×D43)⋊C4—22no—
559(C2×D43)⋊C4—22no—
560(C2×D43)⋊C4—22no—
561(C2×D43)⋊C4—22no—
562(C2×D43)⋊C4—22no—
563(C2×D43)⋊C4—22no—
564(C2×D43)⋊C4—22no—
565(C2×D43)⋊C4—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—41no—
573(C2×D43)⋊C4—41no—
574(C2×D43)⋊C4—41no—
575(C2×D43)⋊C4C2×D414yes—
576(C2×D43)⋊C4#4114yes—
577C4⋊Dic43—22no—
578C4⋊Dic43—22no—
579C4⋊Dic43—22no—
580C4⋊Dic43—22no—
581C4⋊Dic43—22no—
582C4⋊Dic43—22no—
583C4⋊Dic43—41no—
584C4⋊Dic43—41no—
585Dic43⋊C4—22no—
586Dic43⋊C4—22no—
587Dic43⋊C4—22no—
588Dic43⋊C4—22no—
589Dic43⋊C4—22no—
590Dic43⋊C4—22no—
591Dic43⋊C4—22no—
592Dic43⋊C4—22no—
593Dic43⋊C4—22no—
594Dic43⋊C4—22no—
595Dic43⋊C4—22no—
596Dic43⋊C4—41no—
597Dic43⋊C4—41no—
598Dic43⋊C4—41no—
599Dic43⋊C4C2×D414yes—
600C4×Dic43—22no—
601C4×Dic43—22no—
602C4×Dic43—22no—
603C4×Dic43—22no—
604C4×Dic43—22no—
605C4×Dic43—22no—
606C4×Dic43—22no—
607C4×Dic43—22no—
608C4×Dic43—22no—
609C4×Dic43—22no—
610C4×Dic43—41no—
611C4×Dic43C2×D414yes—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43C22×D412yes—
632C23×C43C2×#4112yes—
633C23×C43C2511yescharacteristic
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—21no—
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—28no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—28no—
650C22×D43—28no—
651C22×D43—44no—
652C22×D43—44no—
653C22×D43—44no—
654C22×D43—44no—
655C22×D43—44no—
656C22×D43—44no—
657C22×D43—44no—
658C22×D43—44no—
659C22×D43—44no—
660C22×D43—44no—
661C22×D43—44no—
662C22×D43C22×D412yes—
663C22×D43C2×#4112yes—
664C22×D43C2×#4112yes—
665C22×D43C2×#4112yes—
666C22×D43C2×#4112yes—
667C22×D43C2×#4112yes—
668C22×D43C2×#4112yes—
669Q8×C43—44no—
670D4×C43—28no—
671D4×C43—44no—
672D4×C43—44no—
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—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—44no—
705C2×C4×C43—44no—
706C2×C4×C43C22×D412yes—
707C2×C4×C43C22×D412yes—
708C2×C4×C43C2×#4112yes—
709C2×C4×C43C2×#4112yes—
710C2×C4×C43C2×#4112yes—
711C22⋊D43—28no—
712C22⋊D43—28no—
713C22⋊D43—44no—
714C22⋊D43—44no—
715C22⋊D43—44no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—28no—
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—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—44no—
751C2×Dic43—44no—
752C2×Dic43C22×D412yes—
753C2×Dic43C22×D412yes—
754C2×Dic43C22×D412yes—
755C2×Dic43C2×#4112yes—
756C2×Dic43C2×#4112yes—
757C2×Dic43H(5,𝔽2)12yes—
758D172—28no—
759C4×D43—28no—
760C4×D43—28no—
761C4×D43—28no—
762C4×D43—44no—
763C4×D43—44no—
764C4×D43—44no—
765C4×D43—44no—
766C4×D43—44no—
767C4×D43—44no—
768C4×D43—44no—
769C4×D43—44no—
770C4×D43—44no—
771C4×D43—44no—
772#34670—431nomaximal, Sylow
773C22×C43—22no—
774C22×C43—22no—
775C22×C43—22no—
776C22×C43—22no—
777C22×C43—22no—
778C22×C43—22no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43C23×D411yescharacteristic
795C22×C43C22×#4111yescharacteristic
796C22×C43C22×#4111yescharacteristic
797C22×C43C22×#4111yescharacteristic
798C22×C43C22×#4111yescharacteristic
799C22×C43C2×H(5,𝔽2)11yescharacteristic
800C22×C43#58511yescharacteristic
801C2×D43—22no—
802C2×D43—22no—
803C2×D43—22no—
804C2×D43—22no—
805C2×D43—22no—
806C2×D43—22no—
807C2×D43—22no—
808C2×D43—22no—
809C2×D43—22no—
810C2×D43—22no—
811C2×D43—22no—
812C2×D43—22no—
813C2×D43—22no—
814C2×D43—22no—
815C2×D43—22no—
816C2×D43—416no—
817C2×D43—416no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43#52514yes—
823C2×D43#52914yescomplemented
824C4×C43—22no—
825C4×C43—22no—
826C4×C43—22no—
827C4×C43—22no—
828C4×C43—22no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836Dic43—22no—
837Dic43—22no—
838Dic43—22no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43#54614yes—
849C2×#529—431no—
850C22×C4×D4—431no—
851#2481—431no—
852#2480—431no—
853#2473—431no—
854#2472—431no—
855#2467—431no—
856#2466—431no—
857#2460—431no—
858#2459D4311yescharacteristic, complemented
859#2450—431no—
860#2444—431no—
861#2437—431no—
862#2425—431no—
863#2419—431no—
864#2412—431no—
865#2410—431no—
866#2405—431no—
867#2398—431no—
868#2395—431no—
869#2392—431no—
870#2392—431no—
871C4×C22⋊Q8—431no—
872C4×#123—431no—
873C4×#121—431no—
874C4×#120—431no—
875C4×#120—431no—
876#2290—431no—
877#2290—431no—
878#2280—431no—
879C2×C4×C22⋊C4—431no—
880C2×C43—42no—
881C2×C43—42no—
882C2×C43—81no—
883C2×C43C2×#52511yescharacteristic
884C2×C43C2×#52911yescharacteristic
885C2×C43#345911yescharacteristic
886C2×C43C2×#54611yescharacteristic
887C2×C43D4×#4111yescharacteristic
888C2×C43#347511yescharacteristic
889C2×C43#348111yescharacteristic
890D43—24no—
891D43—24no—
892D43—42no—
893C23×D4—431no—
894C24×C4—431no—
895C24×C4—431no—
896#529—868no—
897C2×#126—431no—
898C2×#126—431no—
899C2×#125—431no—
900C2×#124C2×D4311yescharacteristic, complemented
901C2×#123—431no—
902C2×#123—431no—
903C2×#123—431no—
904C2×C22⋊Q8—431no—
905C2×C22⋊Q8—431no—
906C2×#121—431no—
907C2×#121—431no—
908C2×#120—431no—
909C2×#120—431no—
910C2×C4×Q8—431no—
911C2×C4×D4—431no—
912C2×C4×D4—431no—
913C2×C4×D4—431no—
914C2×C4×D4—431no—
915C2×C4×D4—431no—
916C2×C4×D4—431no—
917C2×C4×D4—431no—
918C2×C4×D4—431no—
919C2×C4×D4—431no—
920C2×C4×D4—431no—
921C2×C4×D4—431no—
922C2×C4×D4—431no—
923C2×C4×D4—868no—
924C2×C4×D4C2×D4311yescharacteristic
925C2×#117—431no—
926C2×#117—431no—
927C2×#117—431no—
928C22×C4⋊C4—431no—
929C22×C22⋊C4—431no—
930C22×C22⋊C4—431no—
931C22×C22⋊C4—431no—
932C22×C22⋊C4—431no—
933C22×C42—431no—
934C22×C42—431no—
935C22×C42—431no—
936#400—431no—
937#400—431no—
938#400—431no—
939#399—431no—
940#398—431no—
941#398—431no—
942#398—431no—
943#397—431no—
944#397—431no—
945#397—431no—
946#397—431no—
947#397—431no—
948#397—431no—
949#397—431no—
950#396—431no—
951#396—431no—
952#396—431no—
953#396—431no—
954#394—431no—
955#394—431no—
956#394—431no—
957#394—431no—
958#394—431no—
959#394—431no—
960#394—431no—
961#394—431no—
962#394C2×D4311yescharacteristic
963#394C2×D4311yescharacteristic, complemented
964#393—431no—
965#393C2×D4311yescharacteristic, complemented
966#392—431no—
967#392C2×D4311yescharacteristic
968#391C2×D4311yescharacteristic, complemented
969#390—431no—
970#389—431no—
971#389—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388C2×D4311yescharacteristic, complemented
978#388C2×D4311yescharacteristic, complemented
979#388C2×D4311yescharacteristic, complemented
980#387—431no—
981#387—431no—
982#387—431no—
983#387—431no—
984#387—431no—
985#387—431no—
986#387—431no—
987#387C2×D4311yescharacteristic, complemented
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#386—431no—
999#386C2×D4311yescharacteristic, complemented
1000#386C2×D4311yescharacteristic, complemented
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#385—431no—
1011#385—431no—
1012#385—431no—
1013#385—431no—
1014#381—431no—
1015#381—431no—
1016#381C2×D4311yescharacteristic, complemented
1017#380—431no—
1018#380—431no—
1019#380—431no—
1020#380—431no—
1021#380—431no—
1022#380—431no—
1023#379—431no—
1024#379—431no—
1025#379—431no—
1026#379—431no—
1027C4×C4⋊C4—431no—
1028C4×C4⋊C4—431no—
1029C4×C4⋊C4—431no—
1030C4×C4⋊C4—431no—
1031C4×C22⋊C4—431no—
1032C4×C22⋊C4—431no—
1033C4×C22⋊C4—431no—
1034C4×C22⋊C4—431no—
1035C4×C22⋊C4—431no—
1036C4×C22⋊C4—431no—
1037C4×C22⋊C4—431no—
1038C4×C22⋊C4—431no—
1039C4×C22⋊C4—431no—
1040C4×C22⋊C4—431no—
1041C4×C22⋊C4—431no—
1042C4×C22⋊C4—431no—
1043C4×C22⋊C4—431no—
1044C4×C22⋊C4—431no—
1045C4×C22⋊C4—431no—
1046C4×C22⋊C4C2×D4311yescharacteristic, complemented
1047#376—431no—
1048C2×#95—431no—
1049C2×#95—431no—
1050C43#3467011yescharacteristic, complemented, Sylow
1051C25—431no—
1052C25—431no—
1053C22×Q8C22×D4311yescharacteristic
1054C22×D4—431no—
1055C22×D4—431no—
1056C22×D4—431no—
1057C22×D4—431no—
1058C22×D4—431no—
1059C22×D4—431no—
1060C22×D4—864no—
1061C22×D4—864no—
1062C22×D4—864no—
1063C22×D4C22×D4311yescharacteristic
1064C22×D4C22×D4311yescharacteristic
1065C22×D4C22×D4311yescharacteristic
1066C23×C4—431no—
1067C23×C4—431no—
1068C23×C4—431no—
1069C23×C4—431no—
1070C23×C4—431no—
1071C23×C4—431no—
1072C23×C4—431no—
1073C23×C4—431no—
1074C23×C4—431no—
1075C23×C4—431no—
1076C23×C4—431no—
1077C23×C4—431no—
1078C23×C4—431no—
1079C23×C4—431no—
1080C23×C4—431no—
1081C23×C4—431no—
1082C23×C4—864no—
1083C23×C4—864no—
1084C23×C4—864no—
1085C23×C4—864no—
1086C23×C4—1722no—
1087C23×C4—1722no—
1088C23×C4C22×D4311yescharacteristic
1089C23×C4C22×D4311yescharacteristic
1090#126—864no—
1091#126—864no—
1092#125—864no—
1093#124—24no—
1094#123—864no—
1095#123—864no—
1096#123—864no—
1097C22⋊Q8—864no—
1098C22⋊Q8—864no—
1099#121—864no—
1100#121—864no—
1101#120—864no—
1102#120—864no—
1103C4×Q8—864no—
1104C4×D4—24no—
1105C4×D4—438no—
1106C4×D4—864no—
1107C4×D4—864no—
1108C4×D4—864no—
1109C4×D4—864no—
1110C4×D4—864no—
1111C4×D4—864no—
1112C4×D4—864no—
1113C4×D4—864no—
1114C4×D4—864no—
1115C4×D4—1722no—
1116C4×D4—1722no—
1117#117—864no—
1118#117—864no—
1119#117—1722no—
1120C2×C4⋊C4—431no—
1121C2×C4⋊C4—431no—
1122C2×C4⋊C4—431no—
1123C2×C4⋊C4—431no—
1124C2×C4⋊C4—431no—
1125C2×C4⋊C4—431no—
1126C2×C4⋊C4—431no—
1127C2×C4⋊C4—431no—
1128C2×C4⋊C4—431no—
1129C2×C4⋊C4—431no—
1130C2×C4⋊C4—431no—
1131C2×C4⋊C4—431no—
1132C2×C4⋊C4—431no—
1133C2×C4⋊C4—431no—
1134C2×C4⋊C4—431no—
1135C2×C4⋊C4—431no—
1136C2×C4⋊C4—431no—
1137C2×C4⋊C4—431no—
1138C2×C4⋊C4—431no—
1139C2×C4⋊C4—431no—
1140C2×C4⋊C4—431no—
1141C2×C4⋊C4—431no—
1142C2×C4⋊C4—431no—
1143C2×C4⋊C4—864no—
1144C2×C4⋊C4C22×D4311yescharacteristic
1145C2×C4⋊C4C22×D4311yescharacteristic
1146C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4—431no—
1173C2×C22⋊C4—431no—
1174C2×C22⋊C4—431no—
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—864no—
1183C2×C22⋊C4—864no—
1184C2×C22⋊C4—864no—
1185C2×C22⋊C4—864no—
1186C2×C22⋊C4C22×D4311yescharacteristic
1187C2×C22⋊C4C22×D4311yescharacteristic
1188C2×C22⋊C4C22×D4311yescharacteristic
1189C2×C22⋊C4C22×D4311yescharacteristic
1190C2×C22⋊C4C22×D4311yescharacteristic
1191C2×C22⋊C4C22×D4311yescharacteristic
1192C2×C22⋊C4C22×D4311yescharacteristic
1193C2×C22⋊C4C22×D4311yescharacteristic
1194C2×C22⋊C4C22×D4311yescharacteristic
1195C2×C22⋊C4C22×D4311yescharacteristic
1196C2×C22⋊C4C22×D4311yescharacteristic
1197C2×C22⋊C4C22×D4311yescharacteristic
1198C2×C22⋊C4C22×D4311yescharacteristic
1199C2×C42—431no—
1200C2×C42—431no—
1201C2×C42—431no—
1202C2×C42—431no—
1203C2×C42—431no—
1204C2×C42—431no—
1205C2×C42—431no—
1206C2×C42—431no—
1207C2×C42—431no—
1208C2×C42—431no—
1209C2×C42—431no—
1210C2×C42—431no—
1211C2×C42—864no—
1212C2×C42—864no—
1213C2×C42—1722no—
1214C2×C42C22×D4311yescharacteristic
1215C2×C42C22×D4311yescharacteristic
1216C2×C42C22×D4311yescharacteristic
1217#95—431no—
1218#95—431no—
1219#95—431no—
1220#95—431no—
1221#95—431no—
1222#95—431no—
1223#95—431no—
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95—431no—
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95C22×D4311yescharacteristic
1244#95C22×D4311yescharacteristic
1245#95C22×D4311yescharacteristic
1246#95C22×D4311yescharacteristic
1247#95C22×D4311yescharacteristic
1248#95C22×D4311yescharacteristic
1249#95C22×D4311yescharacteristic
1250#95C22×D4311yescharacteristic
1251#95C22×D4311yescharacteristic
1252#95C22×D4311yescharacteristic
1253C24—431no—
1254C24—431no—
1255C24—431no—
1256C24—434no—
1257C24—862no—
1258C24—862no—
1259C24—862no—
1260C24—862no—
1261C24—862no—
1262C24—862no—
1263C24—862no—
1264C24—862no—
1265C24—862no—
1266C24—1721no—
1267C24—1721no—
1268C24—1721no—
1269C24—1721no—
1270C24C23×D4311yescharacteristic
1271C24C23×D4311yescharacteristic
1272C24C23×D4311yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—434no—
1286C2×D4—434no—
1287C2×D4—862no—
1288C2×D4—862no—
1289C2×D4—862no—
1290C2×D4—862no—
1291C2×D4—8632no—
1292C2×D4—862no—
1293C2×D4—862no—
1294C2×D4—862no—
1295C2×D4—862no—
1296C2×D4—862no—
1297C2×D4—862no—
1298C2×D4—862no—
1299C2×D4—862no—
1300C2×D4—862no—
1301C2×D4—862no—
1302C2×D4—862no—
1303C2×D4—1721no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—431no—
1311C22×C4—434no—
1312C22×C4—431no—
1313C22×C4—431no—
1314C22×C4—431no—
1315C22×C4—434no—
1316C22×C4—434no—
1317C22×C4—431no—
1318C22×C4—431no—
1319C22×C4—431no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—862no—
1327C22×C4—862no—
1328C22×C4—862no—
1329C22×C4—862no—
1330C22×C4—862no—
1331C22×C4—862no—
1332C22×C4—862no—
1333C22×C4—862no—
1334C22×C4—862no—
1335C22×C4—862no—
1336C22×C4—862no—
1337C22×C4—862no—
1338C22×C4—862no—
1339C22×C4—862no—
1340C22×C4—862no—
1341C22×C4—862no—
1342C22×C4—862no—
1343C22×C4—862no—
1344C22×C4—862no—
1345C22×C4—862no—
1346C22×C4—862no—
1347C22×C4—862no—
1348C22×C4—862no—
1349C22×C4—862no—
1350C22×C4—862no—
1351C22×C4—862no—
1352C22×C4—862no—
1353C22×C4—862no—
1354C22×C4—862no—
1355C22×C4—862no—
1356C22×C4—862no—
1357C22×C4—862no—
1358C22×C4—862no—
1359C22×C4—862no—
1360C22×C4—862no—
1361C22×C4—862no—
1362C22×C4—1721no—
1363C22×C4—1721no—
1364C22×C4—1721no—
1365C22×C4—1721no—
1366C22×C4—1721no—
1367C22×C4—1721no—
1368C22×C4—1721no—
1369C22×C4—1721no—
1370C22×C4—1721no—
1371C22×C4—17216no—
1372C22×C4—17216no—
1373C22×C4C23×D4311yescharacteristic
1374C22×C4C23×D4311yescharacteristic
1375C22×C4C23×D4311yescharacteristic
1376C22×C4C23×D4311yescharacteristic
1377C22×C4C23×D4311yescharacteristic
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380C22×C4C23×D4311yescharacteristic
1381C22×C4C23×D4311yescharacteristic
1382C22×C4C23×D4311yescharacteristic
1383C22×C4C23×D4311yescharacteristic
1384C22×C4C23×D4311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—434no—
1389C4⋊C4—862no—
1390C4⋊C4—862no—
1391C4⋊C4—862no—
1392C4⋊C4—862no—
1393C4⋊C4—862no—
1394C4⋊C4—862no—
1395C4⋊C4—862no—
1396C4⋊C4—862no—
1397C4⋊C4—862no—
1398C4⋊C4—862no—
1399C4⋊C4—862no—
1400C4⋊C4—862no—
1401C4⋊C4—862no—
1402C4⋊C4—862no—
1403C4⋊C4—862no—
1404C4⋊C4—862no—
1405C4⋊C4—862no—
1406C4⋊C4—1721no—
1407C4⋊C4—1721no—
1408C4⋊C4—1721no—
1409C4⋊C4—1721no—
1410C4⋊C4—1721no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—434no—
1424C22⋊C4—434no—
1425C22⋊C4—862no—
1426C22⋊C4—862no—
1427C22⋊C4—862no—
1428C22⋊C4—862no—
1429C22⋊C4—862no—
1430C22⋊C4—862no—
1431C22⋊C4—862no—
1432C22⋊C4—862no—
1433C22⋊C4—862no—
1434C22⋊C4—862no—
1435C22⋊C4—862no—
1436C22⋊C4—862no—
1437C22⋊C4—862no—
1438C22⋊C4—862no—
1439C22⋊C4—862no—
1440C22⋊C4—862no—
1441C22⋊C4—862no—
1442C22⋊C4—862no—
1443C22⋊C4—862no—
1444C22⋊C4—862no—
1445C22⋊C4—862no—
1446C22⋊C4—862no—
1447C22⋊C4—862no—
1448C22⋊C4—862no—
1449C22⋊C4—862no—
1450C22⋊C4—862no—
1451C22⋊C4—1721no—
1452C22⋊C4—1721no—
1453C22⋊C4—1721no—
1454C22⋊C4—1721no—
1455C22⋊C4—1721no—
1456C22⋊C4—1721no—
1457C22⋊C4—1721no—
1458C22⋊C4D4×D4314yes—
1459C42—22no—
1460C42—22no—
1461C42—41no—
1462C42—434no—
1463C42—862no—
1464C42—862no—
1465C42—862no—
1466C42—862no—
1467C42—862no—
1468C42—862no—
1469C42—862no—
1470C42—862no—
1471C42—862no—
1472C42—862no—
1473C42—1721no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—432no—
1494C23—432no—
1495C23—432no—
1496C23—432no—
1497C23—432no—
1498C23—432no—
1499C23—432no—
1500C23—868no—
1501C23—868no—
1502C23—868no—
1503C23—861no—
1504C23—861no—
1505C23—861no—
1506C23—861no—
1507C23—861no—
1508C23—861no—
1509C23—861no—
1510C23—861no—
1511C23—861no—
1512C23—861no—
1513C23—861no—
1514C23—861no—
1515C23—861no—
1516C23—861no—
1517C23—1724no—
1518C23—1724no—
1519C23—1724no—
1520C23—1724no—
1521C23—1724no—
1522C23—1724no—
1523C23—1724no—
1524C23—1724no—
1525C23—1724no—
1526C23—1724no—
1527C23—1724no—
1528C23C2×D4×D4312yes—
1529C23#41×D4312yes—
1530C23C24×D4311yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—868no—
1536D4—868no—
1537D4—868no—
1538D4—1724no—
1539D4—1724no—
1540D4—1724no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—432no—
1575C2×C4—432no—
1576C2×C4—432no—
1577C2×C4—432no—
1578C2×C4—432no—
1579C2×C4—432no—
1580C2×C4—868no—
1581C2×C4—868no—
1582C2×C4—868no—
1583C2×C4—868no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—1724no—
1618C2×C4—1724no—
1619C2×C4—1724no—
1620C2×C4—1724no—
1621C2×C4—1724no—
1622C2×C4—1724no—
1623C2×C4—1724no—
1624C2×C4—1724no—
1625C2×C4—1724no—
1626C2×C4—1724no—
1627C2×C4—1724no—
1628C2×C4—1724no—
1629C2×C4C2×D4×D4312yes—
1630C2×C4C2×D4×D4312yes—
1631C2×C4#41×D4312yes—
1632C2×C4#41×D4312yes—
1633C2×C4#41×D4312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—434no—
1656C22—434no—
1657C22—862no—
1658C22—862no—
1659C22—862no—
1660C22—862no—
1661C22—862no—
1662C22—862no—
1663C22—862no—
1664C22—862no—
1665C22—862no—
1666C22—862no—
1667C22—862no—
1668C22—862no—
1669C22—862no—
1670C22—862no—
1671C22—862no—
1672C22—17216no—
1673C22—17216no—
1674C22—1721no—
1675C22—1721no—
1676C22—1721no—
1677C22—1721no—
1678C22C22×D4×D4311yescharacteristic
1679C22C2×#41×D4311yescharacteristic
1680C22C2×#41×D4311yescharacteristic
1681C22C2×#41×D4311yescharacteristic
1682C22C2×#41×D4311yescharacteristic
1683C22H(5,𝔽2)×D4311yescharacteristic
1684C22#1458373411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—434no—
1698C4—862no—
1699C4—862no—
1700C4—862no—
1701C4—1721no—
1702C4—1721no—
1703C4—1721no—
1704C4—1721no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—864no—
1714C2—864no—
1715C2—1722no—
1716C2#525×D4311yescharacteristic
1717C2#529×D4311yescharacteristic
1718C2#1914800611yescharacteristic
1719C2#546×D4311yescharacteristic
1720C2#1914807911yescharacteristic
1721C2#1914815211yescharacteristic
1722C2#1914820411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2459C2
prime radical#19137962C2
hypercenter#2459D43
hypocenterC43#34670
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2459

Complements

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

NH ≅ G/Ntype
1. C2×#14583428C2semidirect
2. C2×C4×D4×D43C2semidirect
3. #19138862C2semidirect
4. #19138839C2semidirect
5. #19138740C2semidirect
6. #19138717C2semidirect
7. #19138648C2semidirect
8. #19138625C2semidirect
9. #19138547C2semidirect
10. #19138416C2semidirect
11. #19138342C2semidirect
12. #19138255C2semidirect
13. #19138151C2semidirect
14. #19138069C2semidirect
15. #19137986C2semidirect
17. #19137917C2semidirect
18. #19137877C2semidirect
19. #19137851C2semidirect
20. #19137838C2semidirect
21. #19137830C2semidirect
22. #19137133C2semidirect
23. #19137116C2semidirect
24. #19137107C2semidirect
25. #19137100C2semidirect
26. #19137100C2semidirect
27. #19137037C2semidirect
28. #19137037C2semidirect
29. #19136975C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2459C2semidirect
36. C2×#13063318C22semidirect
37. C2×#13063318C22semidirect
38. C2×#13063317C22semidirect
41. C2×#13063307C22semidirect
43. C2×#13063301C22semidirect
48. C2×Q8×Dic43C22semidirect
51. C2×D4×Dic43C22semidirect
52. C2×D4×Dic43C22semidirect
59. C2×(C22⋊D43)⋊C4C22semidirect
60. C2×(C22⋊D43)⋊C4C22semidirect
62. C2×#13063281C22semidirect
63. C2×#13063281C22semidirect
64. C2×#13063281C22semidirect
71. C2×C42×D43C22semidirect
72. C2×C42×D43C22semidirect
73. #14582841C22semidirect
74. #14582841C22semidirect
75. #14582841C22semidirect
76. #14582835C22semidirect
77. #14582833C22semidirect
78. #14582832C22semidirect
79. #14582831C22semidirect
80. #14582827C22semidirect
81. #14582827C22semidirect
82. #14582827C22semidirect
83. #14582826C22semidirect
84. #14582824C22semidirect
85. #14582824C22semidirect
86. #14582824C22semidirect
87. #14582822C22semidirect
88. #14582822C22semidirect
89. #14582822C22semidirect
90. #14582821C22semidirect
93. #14582815C22semidirect
97. #14582813C22semidirect
98. #14582813C22semidirect
99. #14582810C22semidirect
101. #14582799C22semidirect
102. #14582797C22semidirect
103. #14582794C22semidirect
104. #14582792C22semidirect
105. #14582792C22semidirect
106. #14582791C22semidirect
107. #14582790C22semidirect
108. #14582790C22semidirect
109. #14582786C22semidirect
110. #14582786C22semidirect
111. #14582783C22semidirect
112. #14582783C22semidirect
113. #14582781C22semidirect
114. #14582781C22semidirect
115. #14582780C22semidirect
124. #14582775C22semidirect
125. #14582775C22semidirect
126. #14582775C22semidirect
132. #14582773C22semidirect
133. #14582773C22semidirect
134. #14582773C22semidirect
135. #14582773C22semidirect
136. #14582772C22semidirect
137. #14582772C22semidirect
139. #14582770C22semidirect
140. #14582762C22semidirect
141. #14582761C22semidirect
144. #14582758C22semidirect
145. #14582758C22semidirect
146. #14582758C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. #14582750C22semidirect
155. #14582750C22semidirect
156. C22⋊C4×Dic43C22semidirect
157. C22⋊C4×Dic43C22semidirect
158. C22⋊C4×Dic43C22semidirect
159. C22⋊C4×Dic43C22semidirect
160. C22⋊C4×Dic43C22semidirect
163. C4×C22⋊Dic43C22semidirect
167. #14582746C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582744C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
174. C2×#124×C43C22semidirect
177. C43×#394C22semidirect
178. C43×#393C22semidirect
180. C43×#391C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#388C22semidirect
184. C43×#387C22semidirect
185. C43×#386C22semidirect
186. C43×#386C22semidirect
187. C43×#381C22semidirect
188. C4×C22⋊C4×C43C22semidirect
246. (C22⋊D43)⋊C4D4semidirect
823. C2×D43#529semidirect
858. #2459D43semidirect
900. C2×#124C2×D43semidirect
963. #394C2×D43semidirect
965. #393C2×D43semidirect
968. #391C2×D43semidirect
977. #388C2×D43semidirect
978. #388C2×D43semidirect
979. #388C2×D43semidirect
987. #387C2×D43semidirect
999. #386C2×D43semidirect
1000. #386C2×D43semidirect
1016. #381C2×D43semidirect
1046. C4×C22⋊C4C2×D43semidirect
1050. C43#34670semidirect

Maximal subgroups

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

subgroupindex
C2×#145834282
C2×C4×D4×D432
#191388622
#191388392
#191387402
#191387172
#191386482
#191386252
#191385472
#191384162
#191383422
#191382552
#191381512
#191380692
#191379862
#191379622
#191379172
#191378772
#191378512
#191378382
#191378302
#191371332
#191371162
#191371072
#191371002
#191370372
#191369752
C4×C22⋊C4×D432
C43×#24592
#3467043