Finite Group Databasebeta

← #25269613

Subgroups — #25269613

Order 11008.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583496C211yesmaximal, characteristic, complemented
2C2×#14583482C211yesmaximal, characteristic, complemented
3#19142964C211yesmaximal, characteristic, complemented
4#19142963C211yesmaximal, characteristic, complemented
5#19142928C211yesmaximal, characteristic, complemented
6#19142893C211yesmaximal, characteristic, complemented
7#19140758C211yesmaximal, characteristic, complemented
8#19140749C211yesmaximal, characteristic, complemented
9#19140738C211yesmaximal, characteristic, complemented
10#19140727C211yesmaximal, characteristic, complemented
11#19139745C211yesmaximal, characteristic, complemented
12#19139728C211yesmaximal, characteristic, complemented
13#19139713C211yesmaximal, characteristic, complemented
14#19139700C211yesmaximal, characteristic, complemented
15#19139608C211yesmaximal, characteristic, complemented
16#19139559C211yesmaximal, characteristic, complemented
17#19139525C211yesmaximal, characteristic, complemented
18#19139490C211yesmaximal, characteristic, complemented
19#19139297C211yesmaximal, characteristic, complemented
20#19139273C211yesmaximal, characteristic, complemented
21#19138917C211yesmaximal, characteristic, complemented
22#19138726C211yesmaximal, characteristic, complemented
23#19138608C211yesmaximal, characteristic, complemented
24#19138559C211yesmaximal, characteristic, complemented
25#19138142C211yesmaximal, characteristic, complemented
26#19138129C211yesmaximal, characteristic, complemented
27#19137255C211yesmaximal, characteristic, complemented
28C4×#13063297C211yesmaximal, characteristic, complemented
29C2×#14582789C211yesmaximal, characteristic, complemented
30C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
31C43×#2322C211yesmaximal, characteristic, complemented
32#14583496—28no—
33#14583482—28no—
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic, complemented
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063319C2211yescharacteristic
38C2×#13063315C2211yescharacteristic, complemented
39C2×#13063315C2211yescharacteristic, complemented
40C2×#13063313C2211yescharacteristic
41C2×#13063311C2211yescharacteristic
42C2×#13063311C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063310C2211yescharacteristic, complemented
45C2×#13063310C2211yescharacteristic, complemented
46C2×#13063308C2211yescharacteristic
47C2×#13063308C2211yescharacteristic
48C2×#13063308C2211yescharacteristic
49C2×#13063304C2211yescharacteristic
50C2×#13063303C2211yescharacteristic, complemented
51C2×#13063303C2211yescharacteristic, complemented
52C2×#13063302C2211yescharacteristic
53C2×#13063300C2211yescharacteristic
54C2×#13063299C2211yescharacteristic
55C2×#13063299C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063297C2211yescharacteristic
58C2×#13063297C2211yescharacteristic
59C2×#13063295C2211yescharacteristic
60C2×#13063295C2211yescharacteristic
61C2×#13063293C2211yescharacteristic
62C2×C4×C22⋊D43C2211yescharacteristic
63C2×C4×C22⋊D43C2211yescharacteristic
64C2×C4×C22⋊D43C2211yescharacteristic, complemented
65C2×(C22⋊D43)⋊C4C2211yescharacteristic
66C2×(C22⋊D43)⋊C4C2211yescharacteristic
67C22×(C2×D43)⋊C4C2211yescharacteristic
68C22×(C2×D43)⋊C4C2211yescharacteristic
69C22×(C2×D43)⋊C4C2211yescharacteristic
70C22×C4×Dic43C2211yescharacteristic
71C2×C42×D43C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582834C2211yescharacteristic
75#14582834C2211yescharacteristic
76#14582833C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582830C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic
81#14582828C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582825C2211yescharacteristic, complemented
84#14582823C2211yescharacteristic
85#14582823C2211yescharacteristic
86#14582822C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic
88#14582820C2211yescharacteristic, complemented
89#14582819C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic
91#14582817C2211yescharacteristic
92#14582817C2211yescharacteristic
93#14582816C2211yescharacteristic
94#14582815C2211yescharacteristic
95#14582815C2211yescharacteristic, complemented
96#14582814C2211yescharacteristic
97#14582814C2211yescharacteristic, complemented
98#14582812C2211yescharacteristic
99#14582812C2211yescharacteristic, complemented
100#14582809C2211yescharacteristic
101#14582808C2211yescharacteristic
102#14582808C2211yescharacteristic
103#14582808C2211yescharacteristic, complemented
104#14582803C2211yescharacteristic, complemented
105#14582803C2211yescharacteristic, complemented
106#14582803C2211yescharacteristic, complemented
107#14582801C2211yescharacteristic
108#14582801C2211yescharacteristic
109#14582800C2211yescharacteristic
110#14582800C2211yescharacteristic
111#14582800C2211yescharacteristic
112#14582799C2211yescharacteristic
113#14582799C2211yescharacteristic
114#14582799C2211yescharacteristic
115#14582799C2211yescharacteristic, complemented
116#14582798C2211yescharacteristic, complemented
117#14582795C2211yescharacteristic, complemented
118#14582795C2211yescharacteristic, complemented
119#14582794C2211yescharacteristic, complemented
120#14582793C2211yescharacteristic, complemented
121#14582792C2211yescharacteristic, complemented
122#14582791C2211yescharacteristic
123#14582791C2211yescharacteristic
124#14582791C2211yescharacteristic
125#14582791C2211yescharacteristic
126#14582791C2211yescharacteristic, complemented
127#14582790C2211yescharacteristic
128#14582790C2211yescharacteristic
129#14582789C2211yescharacteristic
130#14582789C2211yescharacteristic
131#14582789C2211yescharacteristic
132#14582789C2211yescharacteristic
133#14582789C2211yescharacteristic
134#14582789C2211yescharacteristic
135#14582789C2211yescharacteristic
136#14582789C2211yescharacteristic
137#14582789C2211yescharacteristic, complemented
138#14582788C2211yescharacteristic
139#14582788C2211yescharacteristic
140#14582788C2211yescharacteristic
141#14582788C2211yescharacteristic, complemented
142#14582788C2211yescharacteristic, complemented
143#14582787C2211yescharacteristic, complemented
144#14582779C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582777C2211yescharacteristic
150#14582777C2211yescharacteristic, complemented
151#14582776C2211yescharacteristic
152#14582776C2211yescharacteristic
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582774C2211yescharacteristic
156#14582763C2211yescharacteristic, complemented
157#14582757C2211yescharacteristic
158#14582756C2211yescharacteristic, complemented
159#14582754C2211yescharacteristic
160C4×Dic43⋊C4C2211yescharacteristic, complemented
161C4×Dic43⋊C4C2211yescharacteristic, complemented
162#14582750C2211yescharacteristic, complemented
163#14582750C2211yescharacteristic, complemented
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic
166C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic43C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171C2×C43⋊#95C2211yescharacteristic
172C2×C43⋊#95C2211yescharacteristic
173C42×Dic43C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C22×C4⋊C4×C43C2211yescharacteristic
177C43×#389C2211yescharacteristic, complemented
178C43×#389C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C43×#381C2211yescharacteristic
188C4×C22⋊C4×C43C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063320—24no—
211#13063320—24no—
212#13063320—24no—
213#13063319—24no—
214#13063315—24no—
215#13063315—24no—
216#13063313—24no—
217#13063311—24no—
218#13063311—42no—
219#13063310—24no—
220#13063310—24no—
221#13063310—24no—
222#13063308—24no—
223#13063308—24no—
224#13063308—24no—
225#13063304—24no—
226#13063303—24no—
227#13063303—24no—
228#13063302—24no—
229#13063300—42no—
230#13063299—24no—
231#13063299—24no—
232#13063298—24no—
233#13063297—24no—
234#13063297—24no—
235#13063295—24no—
236#13063295—24no—
237#13063293—24no—
238C4×C22⋊D43—24no—
239C4×C22⋊D43—42no—
240C4×C22⋊D43D418yescomplemented
241(C22⋊D43)⋊C4—24no—
242(C22⋊D43)⋊C4—24no—
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×(C2×D43)⋊C4—24no—
271C2×(C2×D43)⋊C4—24no—
272C2×(C2×D43)⋊C4—42no—
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(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×C4×Dic43—42no—
312C2×C4×Dic43C2311yescharacteristic
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
324C42×D43—42no—
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
346C43⋊#95C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352#123×C43—24no—
353C4×D4×C43—24no—
354C2×C4⋊C4×C43—24no—
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×C22⋊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×C42×C43C2311yescharacteristic
373C2×C42×C43C2311yescharacteristic
374C2×C42×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×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×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43C2×D414yes—
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—22no—
434C2×C22⋊D43—22no—
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⋊D43C2×D414yes—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—22no—
447C22×Dic43—41no—
448C22×Dic43—41no—
449C22×Dic43—41no—
450C22×Dic43—41no—
451C22×Dic43—41no—
452C22×Dic43#4114yes—
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C2×D172—22no—
466C2×D172—22no—
467C2×D172—22no—
468C2×D172—22no—
469C2×D172—22no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172—41no—
475C2×D172—41no—
476C2×D172—41no—
477C2×D172—41no—
478C2×D172—41no—
479C2×D172—41no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—41no—
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×D43C2×D414yes—
492C2×Dic86—22no—
493C2×Dic86—22no—
494C2×Dic86—41no—
495C2×Dic86—41no—
496C2×Dic86—41no—
497C2×Dic86—41no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—22no—
503C4⋊C4×C43—22no—
504C4⋊C4×C43—22no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43#4114yes—
515C42×C43—22no—
516C42×C43—41no—
517C42×C43—41no—
518C22⋊Dic43—22no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—41no—
523C22⋊Dic43C2×D414yes—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
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—22no—
546(C2×D43)⋊C4—22no—
547(C2×D43)⋊C4—22no—
548(C2×D43)⋊C4—22no—
549(C2×D43)⋊C4—22no—
550(C2×D43)⋊C4—22no—
551(C2×D43)⋊C4—22no—
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)⋊C4C2×D414yes—
562C4⋊Dic43—22no—
563C4⋊Dic43—22no—
564C4⋊Dic43—22no—
565C4⋊Dic43—41no—
566C4⋊Dic43—41no—
567Dic43⋊C4—22no—
568Dic43⋊C4—22no—
569Dic43⋊C4—22no—
570Dic43⋊C4—22no—
571Dic43⋊C4—22no—
572Dic43⋊C4—22no—
573Dic43⋊C4—22no—
574Dic43⋊C4—22no—
575Dic43⋊C4—22no—
576Dic43⋊C4—22no—
577Dic43⋊C4—22no—
578Dic43⋊C4—22no—
579Dic43⋊C4—22no—
580Dic43⋊C4—41no—
581Dic43⋊C4—41no—
582Dic43⋊C4C2×D414yes—
583C4×Dic43—22no—
584C4×Dic43—22no—
585C4×Dic43—22no—
586C4×Dic43—22no—
587C4×Dic43—22no—
588C4×Dic43—22no—
589C4×Dic43—41no—
590C4×Dic43—41no—
591C4×Dic43—41no—
592C4×Dic43—41no—
593C4×Dic43—41no—
594C4×Dic43C2×D414yes—
595C23×C43—21no—
596C23×C43—21no—
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×C43C22×D412yes—
607C23×C43C2×#4112yes—
608C23×C43C2×#4112yes—
609C23×C43C2511yescharacteristic
610C22×D43—21no—
611C22×D43—21no—
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—82no—
641C22×D43—82no—
642C22×D43—82no—
643C22×D43—82no—
644C22×D43C22×D412yes—
645D4×C43—44no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
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—44no—
682C2×C4×C43—44no—
683C2×C4×C43—82no—
684C2×C4×C43—82no—
685C2×C4×C43C22×D412yes—
686C2×C4×C43C22×D412yes—
687C2×C4×C43C2×#4112yes—
688C2×C4×C43C2×#4112yes—
689C22⋊D43—28no—
690C22⋊D43—44no—
691C22⋊D43—44no—
692C22⋊D43—82no—
693C22⋊D43—82no—
694C22⋊D43—82no—
695C2×Dic43—21no—
696C2×Dic43—21no—
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—44no—
726C2×Dic43—44no—
727C2×Dic43—82no—
728C2×Dic43C22×D412yes—
729C2×Dic43C22×D412yes—
730C2×Dic43C22×D412yes—
731C2×Dic43C2×#4112yes—
732C2×Dic43C2×#4112yes—
733C2×Dic43H(5,𝔽2)12yes—
734D172—82no—
735D172—82no—
736D172—82no—
737D172—82no—
738D172—82no—
739C4×D43—44no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—82no—
743Dic86—82no—
744Dic86—82no—
745#35009—431nomaximal, Sylow
746C22×C43—22no—
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—22no—
751C22×C43—22no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43#53214yes—
760C22×C43C23×D411yescharacteristic
761C22×C43C22×#4111yescharacteristic
762C22×C43C22×#4111yescharacteristic
763C22×C43C2×H(5,𝔽2)11yescharacteristic
764C22×C43#58511yescharacteristic
765C22×C43#58511yescharacteristic
766C22×C43#58511yescharacteristic
767C2×D43—22no—
768C2×D43—22no—
769C2×D43—22no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
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—88no—
796C4×C43—22no—
797C4×C43—22no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809Dic43—22no—
810Dic43—22no—
811Dic43—22no—
812Dic43—22no—
813Dic43—22no—
814Dic43—22no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821C2×#539—431no—
822C2×#538—431no—
823#2861—431no—
824#2860—431no—
825#2854—431no—
826#2850—431no—
827#2664—431no—
828#2663—431no—
829#2662—431no—
830#2661—431no—
831#2560—431no—
832#2559—431no—
833#2558—431no—
834#2557—431no—
835#2549—431no—
836#2543—431no—
837#2539—431no—
838#2534—431no—
839#2521—431no—
840#2519—431no—
841#2488—431no—
842#2472—431no—
843#2464—431no—
844#2461—431no—
845#2425—431no—
846#2424—431no—
847#2322D4311yescharacteristic, complemented
848#2321—431no—
849C4×#121—431no—
850C2×#388—431no—
851C42×D4—431no—
852C2×C43—24no—
853C2×C43—81no—
854C2×C43C2×#53211yescharacteristic
855C2×C43#345511yescharacteristic
856C2×C43#345911yescharacteristic
857C2×C43#349611yescharacteristic
858C2×C43#350011yescharacteristic
859C2×C43#351311yescharacteristic
860C2×C43#352111yescharacteristic
861D43—42no—
862D43—81no—
863D43—81no—
864D43—81no—
865#539—868no—
866#538—868no—
867C2×#126—431no—
868C2×#126—431no—
869C2×#126—431no—
870C2×#126—431no—
871C2×#125—431no—
872C2×#125—431no—
873C2×#124—431no—
874C2×#124—431no—
875C2×#124—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123—431no—
881C2×#123—431no—
882C2×#123C2×D4311yescharacteristic
883C2×C22⋊Q8—431no—
884C2×C22⋊Q8—431no—
885C2×C22⋊Q8—431no—
886C2×C22⋊Q8—431no—
887C2×#121—431no—
888C2×#121—431no—
889C2×#121—431no—
890C2×#121—431no—
891C2×#121—431no—
892C2×#121—431no—
893C2×#120—431no—
894C2×#120—431no—
895C2×#120—431no—
896C2×C4×D4—431no—
897C2×C4×D4—431no—
898C2×C4×D4—431no—
899C2×C4×D4—431no—
900C2×C4×D4—431no—
901C2×C4×D4C2×D4311yescharacteristic
902C22×C4⋊C4C2×D4311yescharacteristic
903C22×C22⋊C4—431no—
904C22×C22⋊C4—431no—
905C22×C22⋊C4—431no—
906C22×C42—431no—
907C22×C42—431no—
908#400—431no—
909#400—431no—
910#399—431no—
911#399—431no—
912#398—431no—
913#398—431no—
914#398—431no—
915#398—431no—
916#397—431no—
917#397—431no—
918#397—431no—
919#397—431no—
920#396—431no—
921#396—431no—
922#396—431no—
923#396—431no—
924#395—431no—
925#395—431no—
926#394—431no—
927#394—431no—
928#394—431no—
929#394—431no—
930#394—431no—
931#394—431no—
932#394—431no—
933#394—431no—
934#393—431no—
935#393—431no—
936#392—431no—
937#392—431no—
938#392—431no—
939#392—431no—
940#391—431no—
941#391—431no—
942#391—431no—
943#390—431no—
944#390—431no—
945#390—431no—
946#390—431no—
947#390—431no—
948#390—431no—
949#390—431no—
950#390—431no—
951#390—431no—
952#389—431no—
953#389—431no—
954#389—431no—
955#389—431no—
956#389C2×D4311yescharacteristic, complemented
957#389C2×D4311yescharacteristic, complemented
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
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#388—431no—
981#388—431no—
982#388C2×D4311yescharacteristic, complemented
983#388C2×D4311yescharacteristic, complemented
984#387C2×D4311yescharacteristic, complemented
985#387C2×D4311yescharacteristic, complemented
986#386—431no—
987#386—431no—
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#386C2×D4311yescharacteristic
998#385—431no—
999#385C2×D4311yescharacteristic
1000#385C2×D4311yescharacteristic, complemented
1001#385C2×D4311yescharacteristic, complemented
1002#382—431no—
1003#381C2×D4311yescharacteristic
1004#380—431no—
1005#380—431no—
1006#379—431no—
1007C4×C4⋊C4—431no—
1008C4×C4⋊C4—431no—
1009C4×C4⋊C4—431no—
1010C4×C4⋊C4—431no—
1011C4×C22⋊C4—431no—
1012C4×C22⋊C4—431no—
1013C4×C22⋊C4—431no—
1014C4×C22⋊C4—431no—
1015C4×C22⋊C4—431no—
1016C4×C22⋊C4—431no—
1017C4×C22⋊C4—431no—
1018C4×C22⋊C4C2×D4311yescharacteristic
1019C2×#95—431no—
1020C2×#95—431no—
1021C43—431no—
1022C43#3500911yescharacteristic, complemented, Sylow
1023C25—431no—
1024C22×Q8—431no—
1025C22×Q8—431no—
1026C22×D4—431no—
1027C22×D4—431no—
1028C22×D4—431no—
1029C22×D4—431no—
1030C22×D4—431no—
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4C22×D4311yescharacteristic
1038C23×C4—431no—
1039C23×C4—431no—
1040C23×C4—431no—
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4C22×D4311yescharacteristic
1046C23×C4C22×D4311yescharacteristic
1047C23×C4C22×D4311yescharacteristic
1048C23×C4C22×D4311yescharacteristic
1049#126—864no—
1050#126—864no—
1051#126—864no—
1052#126—864no—
1053#125—864no—
1054#125—864no—
1055#124—864no—
1056#124—864no—
1057#124—1722no—
1058#123—24no—
1059#123—864no—
1060#123—864no—
1061#123—864no—
1062#123—864no—
1063#123—864no—
1064#123—864no—
1065C22⋊Q8—864no—
1066C22⋊Q8—864no—
1067C22⋊Q8—864no—
1068C22⋊Q8—864no—
1069#121—864no—
1070#121—864no—
1071#121—864no—
1072#121—864no—
1073#121—864no—
1074#121—1722no—
1075#120—864no—
1076#120—864no—
1077#120—864no—
1078C4×D4—24no—
1079C4×D4—438no—
1080C4×D4—864no—
1081C4×D4—864no—
1082C4×D4—864no—
1083C4×D4—1722no—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1107C2×C4⋊C4C22×D4311yescharacteristic
1108C2×C4⋊C4C22×D4311yescharacteristic
1109C2×C4⋊C4C22×D4311yescharacteristic
1110C2×C4⋊C4C22×D4311yescharacteristic
1111C2×C4⋊C4C22×D4311yescharacteristic
1112C2×C4⋊C4C22×D4311yescharacteristic
1113C2×C4⋊C4C22×D4311yescharacteristic
1114C2×C4⋊C4C22×D4311yescharacteristic
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
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—864no—
1160C2×C22⋊C4—864no—
1161C2×C22⋊C4—1722no—
1162C2×C22⋊C4C22×D4311yescharacteristic
1163C2×C22⋊C4C22×D4311yescharacteristic
1164C2×C22⋊C4C22×D4311yescharacteristic
1165C2×C22⋊C4C22×D4311yescharacteristic
1166C2×C22⋊C4C22×D4311yescharacteristic
1167C2×C22⋊C4C22×D4311yescharacteristic
1168C2×C22⋊C4C22×D4311yescharacteristic
1169C2×C22⋊C4C22×D4311yescharacteristic
1170C2×C42—431no—
1171C2×C42—431no—
1172C2×C42—431no—
1173C2×C42—431no—
1174C2×C42—431no—
1175C2×C42—431no—
1176C2×C42—431no—
1177C2×C42—431no—
1178C2×C42—431no—
1179C2×C42—431no—
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—1722no—
1183C2×C42—1722no—
1184C2×C42C22×D4311yescharacteristic
1185C2×C42C22×D4311yescharacteristic
1186C2×C42C22×D4311yescharacteristic
1187#95—431no—
1188#95—431no—
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#95C22×D4311yescharacteristic
1210#95C22×D4311yescharacteristic
1211#95C22×D4311yescharacteristic
1212#95C22×D4311yescharacteristic
1213#95C22×D4311yescharacteristic
1214#95C22×D4311yescharacteristic
1215#95C22×D4311yescharacteristic
1216#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219C24—431no—
1220C24—431no—
1221C24—431no—
1222C24—431no—
1223C24—862no—
1224C24—862no—
1225C24—862no—
1226C24—1721no—
1227C24—1721no—
1228C24—1721no—
1229C24—1721no—
1230C24C23×D4311yescharacteristic
1231C24C23×D4311yescharacteristic
1232C2×Q8—862no—
1233C2×Q8—862no—
1234C2×Q8—1721no—
1235C2×Q8—1721no—
1236C2×Q8—1721no—
1237C2×Q8—1721no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—434no—
1242C2×D4—862no—
1243C2×D4—862no—
1244C2×D4—862no—
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—1721no—
1257C2×D4—1721no—
1258C2×D4—1721no—
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—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—431no—
1286C22×C4—431no—
1287C22×C4—431no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—434no—
1292C22×C4—434no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—1721no—
1307C22×C4—1721no—
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×C4D4×D4314yes—
1319C22×C4C23×D4311yescharacteristic
1320C22×C4C23×D4311yescharacteristic
1321C22×C4C23×D4311yescharacteristic
1322C22×C4C23×D4311yescharacteristic
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
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—434no—
1342C4⋊C4—862no—
1343C4⋊C4—862no—
1344C4⋊C4—862no—
1345C4⋊C4—862no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
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—1721no—
1359C4⋊C4—1721no—
1360C4⋊C4—1721no—
1361C4⋊C4—1721no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—434no—
1370C22⋊C4—434no—
1371C22⋊C4—862no—
1372C22⋊C4—862no—
1373C22⋊C4—862no—
1374C22⋊C4—862no—
1375C22⋊C4—862no—
1376C22⋊C4—862no—
1377C22⋊C4—862no—
1378C22⋊C4—862no—
1379C22⋊C4—862no—
1380C22⋊C4—862no—
1381C22⋊C4—862no—
1382C22⋊C4—862no—
1383C22⋊C4—862no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
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—862no—
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#1062189814yes—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—434no—
1418C42—862no—
1419C42—862no—
1420C42—862no—
1421C42—862no—
1422C42—862no—
1423C42—862no—
1424C42—1721no—
1425C42—1721no—
1426C42—1721no—
1427C42—1721no—
1428C42—1721no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—432no—
1441C23—861no—
1442C23—861no—
1443C23—861no—
1444C23—861no—
1445C23—861no—
1446C23—861no—
1447C23—861no—
1448C23—861no—
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—3442no—
1469C23—3442no—
1470C23—3442no—
1471C23—3442no—
1472C23—1724no—
1473C23—1724no—
1474C23—1724no—
1475C23C2×D4×D4312yes—
1476C23#41×D4312yes—
1477C23C2×#1062189812yes—
1478C23C24×D4311yescharacteristic
1479Q8—3442no—
1480Q8—3442no—
1481D4—44no—
1482D4—868no—
1483D4—3442no—
1484D4—3442no—
1485D4—3442no—
1486D4—3442no—
1487D4—3442no—
1488D4—3442no—
1489D4—3442no—
1490D4—3442no—
1491D4—1724no—
1492D4—1724no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
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—44no—
1529C2×C4—44no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—432no—
1533C2×C4—432no—
1534C2×C4—432no—
1535C2×C4—432no—
1536C2×C4—432no—
1537C2×C4—432no—
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—3442no—
1569C2×C4—3442no—
1570C2×C4—1724no—
1571C2×C4—1724no—
1572C2×C4—1724no—
1573C2×C4—1724no—
1574C2×C4—1724no—
1575C2×C4C2×D4×D4312yes—
1576C2×C4C2×D4×D4312yes—
1577C2×C4C2×#1062189812yes—
1578C2×C4C2×#1062189812yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—862no—
1593C22—862no—
1594C22—862no—
1595C22—3448no—
1596C22—1721no—
1597C22—1721no—
1598C22—1721no—
1599C22—1721no—
1600C22—1721no—
1601C22—1721no—
1602C22—1721no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
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#1458344614yes—
1622C22C22×D4×D4311yescharacteristic
1623C22C2×#41×D4311yescharacteristic
1624C22C22×#1062189811yescharacteristic
1625C22H(5,𝔽2)×D4311yescharacteristic
1626C22#1458373411yescharacteristic
1627C22#1458373611yescharacteristic
1628C22#1458373611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—862no—
1643C4—862no—
1644C4—862no—
1645C4—862no—
1646C4—862no—
1647C4—862no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C2—24no—
1655C2—81no—
1656C2—3441no—
1657C2—3441no—
1658C2—3441no—
1659C2—1722no—
1660C2C2×#1458344611yescharacteristic
1661C2#1914798111yescharacteristic
1662C2#1914800311yescharacteristic
1663C2#1914835611yescharacteristic
1664C2#1914838411yescharacteristic
1665C2#1914853711yescharacteristic
1666C2#1914866511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2322C2
hypercenter#2322D43
hypocenterC43#35009
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
1. C2×#14583496C2semidirect
2. C2×#14583482C2semidirect
3. #19142964C2semidirect
4. #19142963C2semidirect
5. #19142928C2semidirect
6. #19142893C2semidirect
7. #19140758C2semidirect
8. #19140749C2semidirect
9. #19140738C2semidirect
10. #19140727C2semidirect
11. #19139745C2semidirect
12. #19139728C2semidirect
13. #19139713C2semidirect
14. #19139700C2semidirect
15. #19139608C2semidirect
16. #19139559C2semidirect
17. #19139525C2semidirect
18. #19139490C2semidirect
19. #19139297C2semidirect
20. #19139273C2semidirect
21. #19138917C2semidirect
22. #19138726C2semidirect
23. #19138608C2semidirect
24. #19138559C2semidirect
25. #19138142C2semidirect
26. #19138129C2semidirect
27. #19137255C2semidirect
28. C4×#13063297C2semidirect
29. C2×#14582789C2semidirect
30. C4×(C22⋊D43)⋊C4C2semidirect
31. C43×#2322C2semidirect
35. C2×#13063320C22semidirect
36. C2×#13063320C22semidirect
38. C2×#13063315C22semidirect
39. C2×#13063315C22semidirect
44. C2×#13063310C22semidirect
45. C2×#13063310C22semidirect
50. C2×#13063303C22semidirect
51. C2×#13063303C22semidirect
64. C2×C4×C22⋊D43C22semidirect
71. C2×C42×D43C22semidirect
72. #14582841C22semidirect
73. #14582840C22semidirect
76. #14582833C22semidirect
77. #14582833C22semidirect
78. #14582832C22semidirect
79. #14582830C22semidirect
81. #14582828C22semidirect
82. #14582828C22semidirect
83. #14582825C22semidirect
86. #14582822C22semidirect
88. #14582820C22semidirect
89. #14582819C22semidirect
95. #14582815C22semidirect
97. #14582814C22semidirect
99. #14582812C22semidirect
103. #14582808C22semidirect
104. #14582803C22semidirect
105. #14582803C22semidirect
106. #14582803C22semidirect
115. #14582799C22semidirect
116. #14582798C22semidirect
117. #14582795C22semidirect
118. #14582795C22semidirect
119. #14582794C22semidirect
120. #14582793C22semidirect
121. #14582792C22semidirect
126. #14582791C22semidirect
137. #14582789C22semidirect
141. #14582788C22semidirect
142. #14582788C22semidirect
143. #14582787C22semidirect
150. #14582777C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
156. #14582763C22semidirect
158. #14582756C22semidirect
160. C4×Dic43⋊C4C22semidirect
161. C4×Dic43⋊C4C22semidirect
162. #14582750C22semidirect
163. #14582750C22semidirect
166. C4×(C2×D43)⋊C4C22semidirect
167. C4×(C2×D43)⋊C4C22semidirect
168. C4×C22⋊Dic43C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
173. C42×Dic43C22semidirect
177. C43×#389C22semidirect
178. C43×#389C22semidirect
179. C43×#388C22semidirect
180. C43×#388C22semidirect
181. C43×#387C22semidirect
182. C43×#387C22semidirect
185. C43×#385C22semidirect
186. C43×#385C22semidirect
240. C4×C22⋊D43D4semidirect
847. #2322D43semidirect
956. #389C2×D43semidirect
957. #389C2×D43semidirect
982. #388C2×D43semidirect
983. #388C2×D43semidirect
984. #387C2×D43semidirect
985. #387C2×D43semidirect
1000. #385C2×D43semidirect
1001. #385C2×D43semidirect
1022. C43#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#145834962
C2×#145834822
#191429642
#191429632
#191429282
#191428932
#191407582
#191407492
#191407382
#191407272
#191397452
#191397282
#191397132
#191397002
#191396082
#191395592
#191395252
#191394902
#191392972
#191392732
#191389172
#191387262
#191386082
#191385592
#191381422
#191381292
#191372552
C4×#130632972
C2×#145827892
C4×(C22⋊D43)⋊C42
C43×#23222
#3500943