Finite Group Databasebeta

← #25269606

Subgroups — #25269606

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×#14583494C211yesmaximal, characteristic, complemented
2C2×#14583486C211yesmaximal, characteristic, complemented
3#19142964C211yesmaximal, characteristic, complemented
4#19142961C211yesmaximal, characteristic, complemented
5#19142923C211yesmaximal, characteristic, complemented
6#19142892C211yesmaximal, characteristic, complemented
7#19140753C211yesmaximal, characteristic, complemented
8#19140744C211yesmaximal, characteristic, complemented
9#19140731C211yesmaximal, characteristic, complemented
10#19140720C211yesmaximal, characteristic, complemented
11#19139736C211yesmaximal, characteristic, complemented
12#19139721C211yesmaximal, characteristic, complemented
13#19139706C211yesmaximal, characteristic, complemented
14#19139691C211yesmaximal, characteristic, complemented
15#19139606C211yesmaximal, characteristic, complemented
16#19139527C211yesmaximal, characteristic, complemented
17#19139481C211yesmaximal, characteristic, complemented
18#19139291C211yesmaximal, characteristic, complemented
19#19139261C211yesmaximal, characteristic, complemented
20#19138919C211yesmaximal, characteristic, complemented
21#19138726C211yesmaximal, characteristic, complemented
22#19138594C211yesmaximal, characteristic, complemented
23#19138555C211yesmaximal, characteristic, complemented
24#19138152C211yesmaximal, characteristic, complemented
25#19138137C211yesmaximal, characteristic, complemented
26#19137269C211yesmaximal, characteristic, complemented
27#19137258C211yesmaximal, characteristic, complemented
28#121×Dic43C211yesmaximal, characteristic, complemented
29C2×#14582788C211yesmaximal, characteristic, complemented
30C4×D4×Dic43C211yesmaximal, characteristic, complemented
31C43×#2543C211yesmaximal, characteristic, complemented
32#14583494—28no—
33#14583486—28no—
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic
36C2×#13063318C2211yescharacteristic, complemented
37C2×#13063318C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39C2×#13063315C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic
41C2×#13063311C2211yescharacteristic
42C2×#13063311C2211yescharacteristic
43C2×#13063309C2211yescharacteristic
44C2×#13063309C2211yescharacteristic
45C2×#13063306C2211yescharacteristic
46C2×#13063306C2211yescharacteristic
47C2×#13063306C2211yescharacteristic
48C2×#13063306C2211yescharacteristic, complemented
49C2×#13063306C2211yescharacteristic, complemented
50C2×#13063304C2211yescharacteristic
51C2×#13063304C2211yescharacteristic
52C2×#13063302C2211yescharacteristic, complemented
53C2×#13063302C2211yescharacteristic, complemented
54C2×#13063297C2211yescharacteristic
55C2×#13063297C2211yescharacteristic
56C2×#13063297C2211yescharacteristic
57C2×#13063293C2211yescharacteristic
58C2×#13063293C2211yescharacteristic
59C2×#13063293C2211yescharacteristic
60C2×D4×Dic43C2211yescharacteristic
61C2×D4×Dic43C2211yescharacteristic
62C2×D4×Dic43C2211yescharacteristic
63C2×D4×Dic43C2211yescharacteristic
64C2×D4×Dic43C2211yescharacteristic, complemented
65C22×Dic43⋊C4C2211yescharacteristic
66C22×(C2×D43)⋊C4C2211yescharacteristic
67C22×(C2×D43)⋊C4C2211yescharacteristic
68C22×(C2×D43)⋊C4C2211yescharacteristic
69C22×C4×Dic43C2211yescharacteristic
70C22×C4×Dic43C2211yescharacteristic, complemented
71#14582841C2211yescharacteristic, complemented
72#14582840C2211yescharacteristic, complemented
73#14582834C2211yescharacteristic
74#14582834C2211yescharacteristic
75#14582833C2211yescharacteristic, complemented
76#14582833C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic
79#14582827C2211yescharacteristic, complemented
80#14582827C2211yescharacteristic, complemented
81#14582822C2211yescharacteristic, complemented
82#14582821C2211yescharacteristic
83#14582821C2211yescharacteristic
84#14582821C2211yescharacteristic
85#14582820C2211yescharacteristic, complemented
86#14582820C2211yescharacteristic, complemented
87#14582815C2211yescharacteristic
88#14582815C2211yescharacteristic
89#14582815C2211yescharacteristic
90#14582815C2211yescharacteristic
91#14582814C2211yescharacteristic
92#14582814C2211yescharacteristic
93#14582813C2211yescharacteristic, complemented
94#14582812C2211yescharacteristic
95#14582811C2211yescharacteristic, complemented
96#14582807C2211yescharacteristic
97#14582807C2211yescharacteristic
98#14582807C2211yescharacteristic
99#14582803C2211yescharacteristic, complemented
100#14582803C2211yescharacteristic, complemented
101#14582803C2211yescharacteristic, complemented
102#14582802C2211yescharacteristic, complemented
103#14582799C2211yescharacteristic
104#14582799C2211yescharacteristic
105#14582799C2211yescharacteristic
106#14582799C2211yescharacteristic
107#14582799C2211yescharacteristic
108#14582799C2211yescharacteristic
109#14582799C2211yescharacteristic
110#14582799C2211yescharacteristic
111#14582798C2211yescharacteristic, complemented
112#14582796C2211yescharacteristic, complemented
113#14582796C2211yescharacteristic, complemented
114#14582796C2211yescharacteristic, complemented
115#14582796C2211yescharacteristic, complemented
116#14582794C2211yescharacteristic, complemented
117#14582793C2211yescharacteristic, complemented
118#14582792C2211yescharacteristic, complemented
119#14582792C2211yescharacteristic, complemented
120#14582792C2211yescharacteristic, complemented
121#14582791C2211yescharacteristic
122#14582791C2211yescharacteristic
123#14582791C2211yescharacteristic
124#14582790C2211yescharacteristic
125#14582790C2211yescharacteristic
126#14582789C2211yescharacteristic
127#14582788C2211yescharacteristic
128#14582788C2211yescharacteristic
129#14582788C2211yescharacteristic
130#14582788C2211yescharacteristic
131#14582788C2211yescharacteristic
132#14582788C2211yescharacteristic
133#14582788C2211yescharacteristic
134#14582788C2211yescharacteristic
135#14582788C2211yescharacteristic
136#14582788C2211yescharacteristic
137#14582788C2211yescharacteristic
138#14582787C2211yescharacteristic, complemented
139#14582787C2211yescharacteristic, complemented
140#14582787C2211yescharacteristic, complemented
141#14582781C2211yescharacteristic, complemented
142#14582781C2211yescharacteristic, complemented
143#14582779C2211yescharacteristic
144#14582779C2211yescharacteristic
145#14582779C2211yescharacteristic, complemented
146#14582778C2211yescharacteristic
147#14582778C2211yescharacteristic
148#14582776C2211yescharacteristic
149#14582776C2211yescharacteristic
150#14582776C2211yescharacteristic
151#14582772C2211yescharacteristic
152#14582772C2211yescharacteristic
153#14582771C2211yescharacteristic, complemented
154#14582771C2211yescharacteristic, complemented
155#14582763C2211yescharacteristic, complemented
156#14582760C2211yescharacteristic
157#14582759C2211yescharacteristic
158#14582757C2211yescharacteristic, complemented
159#14582754C2211yescharacteristic
160C4⋊C4×Dic43C2211yescharacteristic, complemented
161C4⋊C4×Dic43C2211yescharacteristic, complemented
162C4⋊C4×Dic43C2211yescharacteristic, complemented
163C4×C4⋊Dic43C2211yescharacteristic, complemented
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic, complemented
167C22⋊C4×Dic43C2211yescharacteristic, complemented
168C22⋊C4×Dic43C2211yescharacteristic, complemented
169C22⋊C4×Dic43C2211yescharacteristic, complemented
170C4×C22⋊Dic43C2211yescharacteristic
171C4×C22⋊Dic43C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic
173C42×Dic43C2211yescharacteristic, complemented
174C2×#121×C43C2211yescharacteristic
175C2×#121×C43C2211yescharacteristic
176C2×#121×C43C2211yescharacteristic
177C2×C4×D4×C43C2211yescharacteristic
178C43×#398C2211yescharacteristic, complemented
179C43×#397C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic, complemented
181C43×#392C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic, complemented
187C43×#386C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205#13063320—24no—
206#13063320—24no—
207#13063318—24no—
208#13063318—24no—
209#13063315—24no—
210#13063315—24no—
211#13063311—24no—
212#13063311—24no—
213#13063311—42no—
214#13063309—24no—
215#13063309—24no—
216#13063306—24no—
217#13063306—24no—
218#13063306—24no—
219#13063306—24no—
220#13063306—24no—
221#13063304—24no—
222#13063304—24no—
223#13063302—24no—
224#13063302—24no—
225#13063297—24no—
226#13063297—24no—
227#13063297—42no—
228#13063293—24no—
229#13063293—24no—
230#13063293—24no—
231D4×Dic43—24no—
232D4×Dic43—24no—
233D4×Dic43—24no—
234D4×Dic43—42no—
235D4×Dic43D418yescomplemented
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×Dic43⋊C4—24no—
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×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×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×(C2×D43)⋊C4—24no—
282C2×(C2×D43)⋊C4—24no—
283C2×(C2×D43)⋊C4—42no—
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×C4×Dic43—42no—
307C2×C4×Dic43—42no—
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
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
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×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C22×D4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354C23×C4×C43C2311yescharacteristic
355C23×C4×C43C2311yescharacteristic
356#121×C43—24no—
357#121×C43—24no—
358#121×C43—24no—
359C4×D4×C43—24no—
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×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C42×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
387C24×C43C2411yescharacteristic
388C24×C43C2411yescharacteristic
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43—41no—
395C23×D43—41no—
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—22no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43C2×D414yes—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43#4114yes—
428C22×C4×C43C2411yescharacteristic
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
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—41no—
446C2×C22⋊D43—41no—
447C2×C22⋊D43—41no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C22×Dic43—22no—
458C22×Dic43—22no—
459C22×Dic43—22no—
460C22×Dic43—22no—
461C22×Dic43—22no—
462C22×Dic43—22no—
463C22×Dic43—22no—
464C22×Dic43—22no—
465C22×Dic43—22no—
466C22×Dic43—41no—
467C22×Dic43—41no—
468C22×Dic43—41no—
469C22×Dic43—41no—
470C22×Dic43—41no—
471C22×Dic43—41no—
472C22×Dic43—41no—
473C22×Dic43—41no—
474C22×Dic43—41no—
475C22×Dic43—41no—
476C22×Dic43C2×D414yes—
477C22×Dic43C2×D414yes—
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488C22×Dic43C2411yescharacteristic
489C22×Dic43C2411yescharacteristic
490C22×Dic43C2411yescharacteristic
491C22×Dic43C2411yescharacteristic
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—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C42×C43—22no—
515C22⋊Dic43—22no—
516C22⋊Dic43—22no—
517C22⋊Dic43—22no—
518C22⋊Dic43—22no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—22no—
526C22⋊Dic43—22no—
527C22⋊Dic43—22no—
528C22⋊Dic43—41no—
529C22⋊Dic43—41no—
530C22⋊Dic43C2×D414yes—
531C22⋊Dic43C2×D414yes—
532C22⋊Dic43#4114yes—
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—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—
555C4⋊Dic43—22no—
556C4⋊Dic43—22no—
557C4⋊Dic43—22no—
558C4⋊Dic43—22no—
559C4⋊Dic43—22no—
560C4⋊Dic43—41no—
561C4⋊Dic43—41no—
562C4⋊Dic43C2×D414yes—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—22no—
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—41no—
578Dic43⋊C4—41no—
579Dic43⋊C4—41no—
580Dic43⋊C4—41no—
581C4×Dic43—22no—
582C4×Dic43—22no—
583C4×Dic43—22no—
584C4×Dic43—22no—
585C4×Dic43—22no—
586C4×Dic43—22no—
587C4×Dic43—41no—
588C4×Dic43—41no—
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×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43C22×D412yes—
620C23×C43C22×D412yes—
621C23×C43C2×#4112yes—
622C23×C43C2×#4112yes—
623C23×C43C2511yescharacteristic
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—21no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—82no—
642C22×D43—82no—
643C22×D43—82no—
644C22×D43—82no—
645D4×C43—28no—
646D4×C43—44no—
647D4×C43—44no—
648D4×C43—44no—
649D4×C43—82no—
650D4×C43—82no—
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×C43C2×#4112yes—
687C2×C4×C43C2×#4112yes—
688C22⋊D43—82no—
689C22⋊D43—82no—
690C22⋊D43—82no—
691C22⋊D43—82no—
692C22⋊D43—82no—
693C22⋊D43—82no—
694C2×Dic43—21no—
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—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—44no—
730C2×Dic43—44no—
731C2×Dic43—44no—
732C2×Dic43—44no—
733C2×Dic43—44no—
734C2×Dic43—82no—
735C2×Dic43—82no—
736C2×Dic43C22×D412yes—
737C2×Dic43C22×D412yes—
738C2×Dic43C22×D412yes—
739C2×Dic43C22×D412yes—
740C2×Dic43C2×#4112yes—
741C2×Dic43C2×#4112yes—
742C2×Dic43H(5,𝔽2)12yes—
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—22no—
753C22×C43—22no—
754C22×C43—22no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43#53214yes—
774C22×C43C23×D411yescharacteristic
775C22×C43C22×#4111yescharacteristic
776C22×C43C22×#4111yescharacteristic
777C22×C43C2×H(5,𝔽2)11yescharacteristic
778C22×C43#58511yescharacteristic
779C22×C43#58511yescharacteristic
780C22×C43#58511yescharacteristic
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—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807Dic43—22no—
808Dic43—22no—
809Dic43—22no—
810Dic43—22no—
811Dic43—22no—
812Dic43—22no—
813Dic43—22no—
814Dic43—41no—
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#2543D4311yescharacteristic, complemented
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#2322—431no—
848#2321—431no—
849C4×#121—431no—
850C2×#388—431no—
851C42×D4—431no—
852C2×C43—24no—
853C2×C43—42no—
854C2×C43—81no—
855C2×C43—81no—
856C2×C43C2×#53211yescharacteristic
857C2×C43#345511yescharacteristic
858C2×C43#345911yescharacteristic
859C2×C43#349611yescharacteristic
860C2×C43#350011yescharacteristic
861C2×C43#351311yescharacteristic
862C2×C43#352111yescharacteristic
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×#123—431no—
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×#121C2×D4311yescharacteristic
891C2×#121C2×D4311yescharacteristic
892C2×#121C2×D4311yescharacteristic
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⋊C4—431no—
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#398C2×D4311yescharacteristic, complemented
916#397—431no—
917#397—431no—
918#397—431no—
919#397C2×D4311yescharacteristic, complemented
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#394C2×D4311yescharacteristic, complemented
934#393—431no—
935#393—431no—
936#392—431no—
937#392—431no—
938#392—431no—
939#392C2×D4311yescharacteristic, complemented
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#389—431no—
957#389—431no—
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#387—431no—
985#387—431no—
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#386C2×D4311yescharacteristic
995#386C2×D4311yescharacteristic
996#386C2×D4311yescharacteristic, complemented
997#386C2×D4311yescharacteristic, complemented
998#385—431no—
999#385—431no—
1000#385—431no—
1001#385—431no—
1002#382—431no—
1003#381—431no—
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⋊C4—431no—
1019C2×#95—431no—
1020C2×#95C2×D4311yescharacteristic
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×D4C22×D4311yescharacteristic
1033C22×D4C22×D4311yescharacteristic
1034C22×D4C22×D4311yescharacteristic
1035C22×D4C22×D4311yescharacteristic
1036C22×D4C22×D4311yescharacteristic
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—864no—
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—24no—
1070#121—24no—
1071#121—24no—
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—431no—
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⋊C4—431no—
1107C2×C4⋊C4—431no—
1108C2×C4⋊C4—431no—
1109C2×C4⋊C4—431no—
1110C2×C4⋊C4—864no—
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—864no—
1156C2×C22⋊C4—864no—
1157C2×C22⋊C4—1722no—
1158C2×C22⋊C4C22×D4311yescharacteristic
1159C2×C22⋊C4C22×D4311yescharacteristic
1160C2×C22⋊C4C22×D4311yescharacteristic
1161C2×C22⋊C4C22×D4311yescharacteristic
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—431no—
1183C2×C42—431no—
1184C2×C42—1722no—
1185C2×C42—1722no—
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#95—431no—
1210#95—431no—
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—862no—
1222C24—862no—
1223C24—862no—
1224C24—1721no—
1225C24—1721no—
1226C24—1721no—
1227C24—1721no—
1228C24C23×D4311yescharacteristic
1229C24C23×D4311yescharacteristic
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—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—862no—
1256C2×D4—862no—
1257C2×D4—862no—
1258C2×D4—862no—
1259C2×D4—862no—
1260C2×D4—862no—
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×D4D4×D4314yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—41no—
1278C22×C4—41no—
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—431no—
1292C22×C4—434no—
1293C22×C4—434no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—431no—
1300C22×C4—431no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—862no—
1307C22×C4—862no—
1308C22×C4—862no—
1309C22×C4—862no—
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#1062190014yes—
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—434no—
1337C4⋊C4—862no—
1338C4⋊C4—862no—
1339C4⋊C4—862no—
1340C4⋊C4—862no—
1341C4⋊C4—862no—
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—1721no—
1357C4⋊C4—1721no—
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—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—434no—
1375C22⋊C4—434no—
1376C22⋊C4—434no—
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—862no—
1404C22⋊C4—862no—
1405C22⋊C4—862no—
1406C22⋊C4—1721no—
1407C22⋊C4—1721no—
1408C22⋊C4—1721no—
1409C22⋊C4—1721no—
1410C22⋊C4—1721no—
1411C22⋊C4—1721no—
1412C22⋊C4—1721no—
1413C22⋊C4—1721no—
1414C42—22no—
1415C42—434no—
1416C42—862no—
1417C42—862no—
1418C42—862no—
1419C42—862no—
1420C42—862no—
1421C42—862no—
1422C42—1721no—
1423C42—1721no—
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—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
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—3442no—
1468C23—3442no—
1469C23—3442no—
1470C23—3442no—
1471C23—1724no—
1472C23—1724no—
1473C23—1724no—
1474C23C2×D4×D4312yes—
1475C23C2×D4×D4312yes—
1476C23#41×D4312yes—
1477C23C2×#1062190012yes—
1478C23C24×D4311yescharacteristic
1479Q8—3442no—
1480Q8—3442no—
1481D4—28no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—82no—
1486D4—82no—
1487D4—3442no—
1488D4—3442no—
1489D4—3442no—
1490D4—3442no—
1491D4—3442no—
1492D4—3442no—
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—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—432no—
1528C2×C4—432no—
1529C2×C4—432no—
1530C2×C4—432no—
1531C2×C4—432no—
1532C2×C4—432no—
1533C2×C4—432no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
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—3442no—
1570C2×C4—3442no—
1571C2×C4—1724no—
1572C2×C4—1724no—
1573C2×C4—1724no—
1574C2×C4—1724no—
1575C2×C4—1724no—
1576C2×C4C2×D4×D4312yes—
1577C2×C4C2×#1062190012yes—
1578C2×C4C2×#1062190012yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—3448no—
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#1458344414yes—
1622C22C22×D4×D4311yescharacteristic
1623C22C2×#41×D4311yescharacteristic
1624C22C22×#1062190011yescharacteristic
1625C22H(5,𝔽2)×D4311yescharacteristic
1626C22#1458373411yescharacteristic
1627C22#1458373511yescharacteristic
1628C22#1458373511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—862no—
1641C4—862no—
1642C4—862no—
1643C4—862no—
1644C4—862no—
1645C4—862no—
1646C4—862no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—3441no—
1659C2—3441no—
1660C2C2×#1458344411yescharacteristic
1661C2#1914798411yescharacteristic
1662C2#1914800111yescharacteristic
1663C2#1914835511yescharacteristic
1664C2#1914838111yescharacteristic
1665C2#1914852611yescharacteristic
1666C2#1914865411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2543C2
hypercenter#2543D43
hypocenterC43#35009
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#14583494C2semidirect
2. C2×#14583486C2semidirect
3. #19142964C2semidirect
4. #19142961C2semidirect
5. #19142923C2semidirect
6. #19142892C2semidirect
7. #19140753C2semidirect
8. #19140744C2semidirect
9. #19140731C2semidirect
10. #19140720C2semidirect
11. #19139736C2semidirect
12. #19139721C2semidirect
13. #19139706C2semidirect
14. #19139691C2semidirect
15. #19139606C2semidirect
16. #19139527C2semidirect
17. #19139481C2semidirect
18. #19139291C2semidirect
19. #19139261C2semidirect
20. #19138919C2semidirect
21. #19138726C2semidirect
22. #19138594C2semidirect
23. #19138555C2semidirect
24. #19138152C2semidirect
25. #19138137C2semidirect
26. #19137269C2semidirect
27. #19137258C2semidirect
28. #121×Dic43C2semidirect
29. C2×#14582788C2semidirect
30. C4×D4×Dic43C2semidirect
31. C43×#2543C2semidirect
36. C2×#13063318C22semidirect
37. C2×#13063318C22semidirect
38. C2×#13063315C22semidirect
39. C2×#13063315C22semidirect
48. C2×#13063306C22semidirect
49. C2×#13063306C22semidirect
52. C2×#13063302C22semidirect
53. C2×#13063302C22semidirect
64. C2×D4×Dic43C22semidirect
70. C22×C4×Dic43C22semidirect
71. #14582841C22semidirect
72. #14582840C22semidirect
75. #14582833C22semidirect
76. #14582833C22semidirect
77. #14582832C22semidirect
79. #14582827C22semidirect
80. #14582827C22semidirect
81. #14582822C22semidirect
85. #14582820C22semidirect
86. #14582820C22semidirect
93. #14582813C22semidirect
95. #14582811C22semidirect
99. #14582803C22semidirect
100. #14582803C22semidirect
101. #14582803C22semidirect
102. #14582802C22semidirect
111. #14582798C22semidirect
112. #14582796C22semidirect
113. #14582796C22semidirect
114. #14582796C22semidirect
115. #14582796C22semidirect
116. #14582794C22semidirect
117. #14582793C22semidirect
118. #14582792C22semidirect
119. #14582792C22semidirect
120. #14582792C22semidirect
138. #14582787C22semidirect
139. #14582787C22semidirect
140. #14582787C22semidirect
141. #14582781C22semidirect
142. #14582781C22semidirect
145. #14582779C22semidirect
153. #14582771C22semidirect
154. #14582771C22semidirect
155. #14582763C22semidirect
158. #14582757C22semidirect
160. C4⋊C4×Dic43C22semidirect
161. C4⋊C4×Dic43C22semidirect
162. C4⋊C4×Dic43C22semidirect
163. C4×C4⋊Dic43C22semidirect
166. C22⋊C4×Dic43C22semidirect
167. C22⋊C4×Dic43C22semidirect
168. C22⋊C4×Dic43C22semidirect
169. C22⋊C4×Dic43C22semidirect
171. C4×C22⋊Dic43C22semidirect
173. C42×Dic43C22semidirect
178. C43×#398C22semidirect
179. C43×#397C22semidirect
180. C43×#394C22semidirect
181. C43×#392C22semidirect
182. C43×#388C22semidirect
183. C43×#388C22semidirect
186. C43×#386C22semidirect
187. C43×#386C22semidirect
235. D4×Dic43D4semidirect
836. #2543D43semidirect
915. #398C2×D43semidirect
919. #397C2×D43semidirect
933. #394C2×D43semidirect
939. #392C2×D43semidirect
982. #388C2×D43semidirect
983. #388C2×D43semidirect
996. #386C2×D43semidirect
997. #386C2×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×#145834942
C2×#145834862
#191429642
#191429612
#191429232
#191428922
#191407532
#191407442
#191407312
#191407202
#191397362
#191397212
#191397062
#191396912
#191396062
#191395272
#191394812
#191392912
#191392612
#191389192
#191387262
#191385942
#191385552
#191381522
#191381372
#191372692
#191372582
#121×Dic432
C2×#145827882
C4×D4×Dic432
C43×#25432
#3500943