Finite Group Databasebeta

← #25256472

Subgroups — #25256472

Order 11008.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583572C211yesmaximal, characteristic
2#19137725C211yesmaximal, characteristic, complemented
3#19137720C211yesmaximal, characteristic, complemented
4#19137718C211yesmaximal, characteristic, complemented
5#19137703C211yesmaximal, characteristic, complemented
6#19137677C211yesmaximal, characteristic, complemented
7#19137673C211yesmaximal, characteristic, complemented
8#19137590C211yesmaximal, characteristic, complemented
9#19137572C211yesmaximal, characteristic
10#19137533C211yesmaximal, characteristic, complemented
11#19137530C211yesmaximal, characteristic, complemented
12#19137451C211yesmaximal, characteristic, complemented
13#19137450C211yesmaximal, characteristic, complemented
14#19137445C211yesmaximal, characteristic, complemented
15#19137442C211yesmaximal, characteristic, complemented
16#19137145C211yesmaximal, characteristic, complemented
17#19137145C211yesmaximal, characteristic, complemented
18#19137136C211yesmaximal, characteristic, complemented
19#19137127C211yesmaximal, characteristic, complemented
20#19137125C211yesmaximal, characteristic, complemented
21#19137122C211yesmaximal, characteristic, complemented
22#123×Dic43C211yesmaximal, characteristic, complemented
23#19137114C211yesmaximal, characteristic, complemented
24#19137100C211yesmaximal, characteristic
25C4×D4×Dic43C211yesmaximal, characteristic, complemented
26C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
27#117×Dic43C211yesmaximal, characteristic, complemented
28C4×#13063283C211yesmaximal, characteristic, complemented
29C2×#14582746C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2359C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33#14583572C4116yescomplemented
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic
36C2×#13063311C2211yescharacteristic
37C2×#13063309C2211yescharacteristic
38C2×#13063307C2211yescharacteristic
39C2×#13063305C2211yescharacteristic
40C2×#13063302C2211yescharacteristic
41C2×#13063293C2211yescharacteristic
42C2×#13063290C2211yescharacteristic, complemented
43C2×D4×Dic43C2211yescharacteristic
44C2×D4×Dic43C2211yescharacteristic
45C2×C4×C22⋊D43C2211yescharacteristic
46C2×(C22⋊D43)⋊C4C2211yescharacteristic
47C2×(C22⋊D43)⋊C4C2211yescharacteristic
48C2×(C22⋊D43)⋊C4C2211yescharacteristic
49C2×#13063284C2211yescharacteristic
50C2×#13063283C2211yescharacteristic
51C2×#13063283C2211yescharacteristic
52C22×(C2×D43)⋊C4C2211yescharacteristic
53C22×(C2×D43)⋊C4C2211yescharacteristic
54C2×C22⋊C4×D43C2211yescharacteristic
55C2×C22⋊C4×D43C2211yescharacteristic
56C22×C4×Dic43C2211yescharacteristic
57C22×C4×Dic43C2211yescharacteristic
58C22×C4×Dic43C2211yescharacteristic, complemented
59C2×C42×D43C2211yescharacteristic
60C2×C42×D43C2211yescharacteristic
61#14582805C2211yescharacteristic, complemented
62#14582803C2211yescharacteristic, complemented
63#14582803C2211yescharacteristic, complemented
64#14582799C2211yescharacteristic
65#14582794C2211yescharacteristic, complemented
66#14582793C2211yescharacteristic, complemented
67#14582792C2211yescharacteristic, complemented
68#14582792C2211yescharacteristic, complemented
69#14582791C2211yescharacteristic
70#14582791C2211yescharacteristic
71#14582790C2211yescharacteristic
72#14582790C2211yescharacteristic
73#14582790C2211yescharacteristic
74#14582789C2211yescharacteristic
75#14582789C2211yescharacteristic
76#14582789C2211yescharacteristic
77#14582789C2211yescharacteristic
78#14582789C2211yescharacteristic
79#14582787C2211yescharacteristic, complemented
80#14582786C2211yescharacteristic, complemented
81#14582786C2211yescharacteristic, complemented
82#14582785C2211yescharacteristic, complemented
83#14582785C2211yescharacteristic, complemented
84#14582784C2211yescharacteristic, complemented
85#14582784C2211yescharacteristic, complemented
86#14582784C2211yescharacteristic, complemented
87#14582784C2211yescharacteristic, complemented
88#14582783C2211yescharacteristic, complemented
89#14582782C2211yescharacteristic, complemented
90#14582782C2211yescharacteristic, complemented
91#14582782C2211yescharacteristic, complemented
92#14582782C2211yescharacteristic, complemented
93#14582780C2211yescharacteristic, complemented
94#14582779C2211yescharacteristic
95#14582778C2211yescharacteristic
96#14582775C2211yescharacteristic
97#14582775C2211yescharacteristic
98#14582775C2211yescharacteristic
99#14582774C2211yescharacteristic
100#14582773C2211yescharacteristic
101#14582773C2211yescharacteristic
102#14582772C2211yescharacteristic
103#14582772C2211yescharacteristic
104#14582770C2211yescharacteristic
105#14582770C2211yescharacteristic
106#14582770C2211yescharacteristic
107#14582766C2211yescharacteristic, complemented
108#14582766C2211yescharacteristic, complemented
109#14582763C2211yescharacteristic, complemented
110#14582762C2211yescharacteristic
111#14582761C2211yescharacteristic
112#14582760C2211yescharacteristic, complemented
113#14582757C2211yescharacteristic
114#14582756C2211yescharacteristic
115#14582754C2211yescharacteristic
116C4⋊C4×Dic43C2211yescharacteristic, complemented
117C4⋊C4×Dic43C2211yescharacteristic, complemented
118C4⋊C4×Dic43C2211yescharacteristic, complemented
119C4⋊C4×Dic43C2211yescharacteristic, complemented
120C4⋊C4×Dic43C2211yescharacteristic, complemented
121C4⋊C4×Dic43C2211yescharacteristic, complemented
122C4⋊C4×Dic43C2211yescharacteristic, complemented
123C4⋊C4×Dic43C2211yescharacteristic, complemented
124C4⋊C4×Dic43C2211yescharacteristic, complemented
125C4×Dic43⋊C4C2211yescharacteristic, complemented
126C4×C4⋊Dic43C2211yescharacteristic, complemented
127C4×C4⋊Dic43C2211yescharacteristic, complemented
128#14582750C2211yescharacteristic, complemented
129#14582750C2211yescharacteristic, complemented
130#14582750C2211yescharacteristic, complemented
131C22⋊C4×Dic43C2211yescharacteristic
132C22⋊C4×Dic43C2211yescharacteristic
133C22⋊C4×Dic43C2211yescharacteristic
134C22⋊C4×Dic43C2211yescharacteristic
135C22⋊C4×Dic43C2211yescharacteristic
136C22⋊C4×Dic43C2211yescharacteristic
137C22⋊C4×Dic43C2211yescharacteristic, complemented
138C22⋊C4×Dic43C2211yescharacteristic, complemented
139C22⋊C4×Dic43C2211yescharacteristic, complemented
140C22⋊C4×Dic43C2211yescharacteristic, complemented
141C22⋊C4×Dic43C2211yescharacteristic, complemented
142C4×(C2×D43)⋊C4C2211yescharacteristic
143C4×(C2×D43)⋊C4C2211yescharacteristic
144C4×(C2×D43)⋊C4C2211yescharacteristic
145C4×(C2×D43)⋊C4C2211yescharacteristic
146C4×(C2×D43)⋊C4C2211yescharacteristic
147C4×C22⋊Dic43C2211yescharacteristic
148C4×C22⋊Dic43C2211yescharacteristic
149C4×C22⋊Dic43C2211yescharacteristic, complemented
150#14582746C2211yescharacteristic
151#14582746C2211yescharacteristic
152#14582746C2211yescharacteristic
153#14582746C2211yescharacteristic
154#14582746C2211yescharacteristic
155#14582746C2211yescharacteristic
156#14582746C2211yescharacteristic
157#14582746C2211yescharacteristic
158#14582746C2211yescharacteristic
159#14582746C2211yescharacteristic
160#14582746C2211yescharacteristic
161#14582746C2211yescharacteristic
162#14582746C2211yescharacteristic
163#14582745C2211yescharacteristic, complemented
164#14582745C2211yescharacteristic, complemented
165#14582744C2211yescharacteristic, complemented
166#14582744C2211yescharacteristic, complemented
167C2×C43⋊#95C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170C42×Dic43C2211yescharacteristic, complemented
171C42×Dic43C2211yescharacteristic, complemented
172C42×Dic43C2211yescharacteristic, complemented
173C2×#123×C43C2211yescharacteristic
174C2×C4×D4×C43C2211yescharacteristic
175C2×#117×C43C2211yescharacteristic
176C43×#389C2211yescharacteristic, complemented
177C43×#388C2211yescharacteristic, complemented
178C43×#388C2211yescharacteristic, complemented
179C43×#387C2211yescharacteristic, complemented
180C43×#387C2211yescharacteristic, complemented
181C43×#386C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#385C2211yescharacteristic, complemented
184C4×C4⋊C4×C43C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C2×#95×C43C2211yescharacteristic
188C24×D43C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C22×C4×D43—24no—
198C22×C4×D43—24no—
199C22×C4×D43—42no—
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208#13063320C2×C418yescomplemented
209#13063320C2×C418yescomplemented
210#13063311C2×C418yescomplemented
211#13063309C2×C418yescomplemented
212#13063307C2×C418yescomplemented
213#13063305C2×C418yescomplemented
214#13063302C2×C418yescomplemented
215#13063293C2×C418yes—
216#13063290—42no—
217D4×Dic43—24no—
218D4×Dic43C2×C418yescomplemented
219C4×C22⋊D43—24no—
220(C22⋊D43)⋊C4—24no—
221(C22⋊D43)⋊C4—42no—
222(C22⋊D43)⋊C4C2×C418yescomplemented
223#13063284C2×C418yescomplemented
224#13063283—24no—
225#13063283C2×C418yescomplemented
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×(C2×D43)⋊C4—24no—
250C2×(C2×D43)⋊C4C2×C418yescomplemented
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C22⋊C4×D43—24no—
270C22⋊C4×D43C2×C418yescomplemented
271C2×C4×Dic43—24no—
272C2×C4×Dic43—42no—
273C2×C4×Dic43—42no—
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
279C2×C4×Dic43C2311yescharacteristic
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C42×D43—24no—
303C42×D43—42no—
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C22×D4×C43C2311yescharacteristic
339C23×C4×C43C2311yescharacteristic
340C23×C4×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342C23×C4×C43C2311yescharacteristic
343#123×C43C2×C418yescomplemented
344C4×D4×C43—24no—
345#117×C43—24no—
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C42×C43C2311yescharacteristic
362C2×C42×C43C2311yescharacteristic
363C2×C42×C43C2311yescharacteristic
364C2×C42×C43C2311yescharacteristic
365C2×C42×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—41no—
383C23×D43—41no—
384C23×D43C22×C414yes—
385C23×D43C2411yescharacteristic
386C23×D43C2411yescharacteristic
387C2×D4×C43—22no—
388C2×D4×C43—22no—
389C2×D4×C43C22×C414yes—
390C22×C4×C43—22no—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43C22×C414yes—
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—41no—
418C2×C22⋊D43—41no—
419C2×C22⋊D43C22×C414yes—
420C2×C22⋊D43C22×C414yes—
421C22×Dic43—22no—
422C22×Dic43—22no—
423C22×Dic43—22no—
424C22×Dic43—22no—
425C22×Dic43—22no—
426C22×Dic43—22no—
427C22×Dic43—22no—
428C22×Dic43—41no—
429C22×Dic43—41no—
430C22×Dic43—41no—
431C22×Dic43—41no—
432C22×Dic43—41no—
433C22×Dic43C22×C414yes—
434C22×Dic43C22×C414yescomplemented
435C22×Dic43#4114yes—
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—41no—
466C2×C4×D43—41no—
467C2×C4×D43—41no—
468C2×C4×D43—41no—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—416no—
472C2×C4×D43C22×C414yes—
473C2×C4×D43C22×C414yes—
474C2×C4×D43#4114yes—
475C2×Dic86—41no—
476C2×Dic86—41no—
477C2×Dic86C22×C414yescomplemented
478C4⋊C4×C43—22no—
479C4⋊C4×C43—22no—
480C4⋊C4×C43—22no—
481C4⋊C4×C43—22no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43C22×C414yescomplemented
484C4⋊C4×C43C22×C414yescomplemented
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43C22×C414yes—
490C22⋊C4×C43C22×C414yescomplemented
491C22⋊C4×C43C22×C414yescomplemented
492C22⋊C4×C43#4114yes—
493C42×C43—22no—
494C42×C43—22no—
495C42×C43—22no—
496C42×C43—22no—
497C42×C43—41no—
498C22⋊Dic43—22no—
499C22⋊Dic43—22no—
500C22⋊Dic43—22no—
501C22⋊Dic43—22no—
502C22⋊Dic43—41no—
503C22⋊Dic43C22×C414yes—
504C22⋊Dic43C22×C414yes—
505C22⋊Dic43C22×C414yescomplemented
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511(C2×D43)⋊C4—22no—
512(C2×D43)⋊C4—22no—
513(C2×D43)⋊C4—41no—
514(C2×D43)⋊C4—41no—
515(C2×D43)⋊C4C22×C414yes—
516(C2×D43)⋊C4C22×C414yes—
517(C2×D43)⋊C4C22×C414yes—
518(C2×D43)⋊C4C22×C414yes—
519(C2×D43)⋊C4C22×C414yes—
520(C2×D43)⋊C4C22×C414yes—
521(C2×D43)⋊C4C22×C414yes—
522(C2×D43)⋊C4C22×C414yes—
523(C2×D43)⋊C4#4114yes—
524C4⋊Dic43—22no—
525C4⋊Dic43—22no—
526C4⋊Dic43—41no—
527C4⋊Dic43C22×C414yescomplemented
528C4⋊Dic43C22×C414yescomplemented
529C4⋊Dic43C22×C414yescomplemented
530C4⋊Dic43C22×C414yescomplemented
531Dic43⋊C4—22no—
532Dic43⋊C4—22no—
533Dic43⋊C4—41no—
534Dic43⋊C4—41no—
535Dic43⋊C4—41no—
536Dic43⋊C4—41no—
537Dic43⋊C4C22×C414yescomplemented
538Dic43⋊C4C22×C414yescomplemented
539C4×Dic43—22no—
540C4×Dic43—22no—
541C4×Dic43—22no—
542C4×Dic43—22no—
543C4×Dic43—22no—
544C4×Dic43—22no—
545C4×Dic43—22no—
546C4×Dic43—22no—
547C4×Dic43—22no—
548C4×Dic43—22no—
549C4×Dic43—22no—
550C4×Dic43—22no—
551C4×Dic43—22no—
552C4×Dic43—22no—
553C4×Dic43—22no—
554C4×Dic43—22no—
555C4×Dic43—22no—
556C4×Dic43—41no—
557C4×Dic43—41no—
558C4×Dic43—41no—
559C4×Dic43—41no—
560C4×Dic43—41no—
561C4×Dic43—41no—
562C4×Dic43—41no—
563C4×Dic43—41no—
564C4×Dic43C22×C414yescomplemented
565C4×Dic43C22×C414yescomplemented
566C4×Dic43C22×C414yescomplemented
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43C23×C412yes—
578C23×C43C23×C412yes—
579C23×C43C2×#4112yes—
580C23×C43C2×#4112yes—
581C23×C43C2511yescharacteristic
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—21no—
585C22×D43—21no—
586C22×D43—28no—
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—21no—
592C22×D43—21no—
593C22×D43—28no—
594C22×D43—44no—
595C22×D43—44no—
596C22×D43—44no—
597C22×D43—44no—
598C22×D43—44no—
599C22×D43C23×C412yes—
600C22×D43C23×C412yes—
601C22×D43C2×#4112yes—
602C22×D43C2×#4112yes—
603D4×C43—28no—
604C2×C4×C43—28no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—44no—
636C2×C4×C43—44no—
637C2×C4×C43—44no—
638C2×C4×C43C23×C412yes—
639C2×C4×C43C23×C412yes—
640C2×C4×C43C23×C412yes—
641C2×C4×C43C23×C412yes—
642C2×C4×C43C23×C412yes—
643C2×C4×C43C2×#4112yes—
644C2×C4×C43C2×#4112yes—
645C2×C4×C43C2×#4112yes—
646C2×C4×C43C2×#4112yes—
647C22⋊D43—28no—
648C22⋊D43—44no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—28no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—44no—
682C2×Dic43—44no—
683C2×Dic43—44no—
684C2×Dic43—44no—
685C2×Dic43C23×C412yes—
686C2×Dic43C23×C412yes—
687C2×Dic43C23×C412yes—
688C2×Dic43C23×C412yes—
689C2×Dic43C23×C412yes—
690C2×Dic43C23×C412yes—
691C2×Dic43C2×#4112yes—
692C2×Dic43C2×#4112yes—
693C2×Dic43C2×#4112yes—
694C2×Dic43C2×#4112yes—
695C2×Dic43H(5,𝔽2)12yes—
696C4×D43—28no—
697C4×D43—28no—
698C4×D43—44no—
699C4×D43—44no—
700C4×D43—44no—
701C4×D43—44no—
702C4×D43—44no—
703C4×D43—44no—
704Dic86—44no—
705C4×#551—431nomaximal, Sylow
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—22no—
709C22×C43—22no—
710C22×C43—22no—
711C22×C43—22no—
712C22×C43—22no—
713C22×C43—22no—
714C22×C43—22no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43C4×#4114yes—
720C22×C43C24×C411yescharacteristic
721C22×C43C22×#4111yescharacteristic
722C22×C43C22×#4111yescharacteristic
723C22×C43C22×#4111yescharacteristic
724C22×C43C22×#4111yescharacteristic
725C22×C43C2×H(5,𝔽2)11yescharacteristic
726C22×C43#58511yescharacteristic
727C2×D43—22no—
728C2×D43—22no—
729C2×D43—22no—
730C2×D43—22no—
731C2×D43—22no—
732C2×D43—22no—
733C2×D43—22no—
734C2×D43—22no—
735C2×D43—22no—
736C2×D43—416no—
737C2×D43—41no—
738C2×D43—41no—
739C2×D43—41no—
740C2×D43—41no—
741C2×D43C4×#4114yes—
742C4×C43—22no—
743C4×C43—22no—
744C4×C43—22no—
745C4×C43—22no—
746C4×C43—22no—
747C4×C43—22no—
748C4×C43—22no—
749C4×C43—22no—
750C4×C43—22no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755Dic43—22no—
756Dic43—22no—
757Dic43—22no—
758Dic43—22no—
759Dic43—22no—
760Dic43—22no—
761Dic43—22no—
762Dic43—22no—
763Dic43—41no—
764Dic43—41no—
765Dic43—41no—
766Dic43—41no—
767Dic43—41no—
768Dic43#55114yescomplemented
769C2×#551—431no—
770#2374—431no—
771#2373—431no—
772#2373—431no—
773#2372—431no—
774#2368—431no—
775#2368—431no—
776#2359—431no—
777#2359D4311yescharacteristic, complemented
778#2358—431no—
779#2353—431no—
780#2353—431no—
781#2343—431no—
782#2343—431no—
783#2342—431no—
784#2342—431no—
785C4×#126—431no—
786C4×#126—431no—
787C4×#124—431no—
788C4×C22⋊Q8—431no—
789C4×C22⋊Q8—431no—
790C4×#123—431no—
791C4×#123—431no—
792C4×#123—431no—
793C4×#120—431no—
794C42×D4—431no—
795C42×D4—431no—
796C4×#117—431no—
797C4×#117—431no—
798C2×C4×C22⋊C4—431no—
799C2×C4×C22⋊C4—431no—
800C2×C43—24no—
801C2×C43—42no—
802C2×C43C2×C4×#4111yescharacteristic
803C2×C43C2×C4×#4111yescharacteristic
804C2×C43C4×H(5,𝔽2)11yescharacteristic
805C2×C43C2×#55111yescharacteristic
806C2×C43#347511yescharacteristic
807C2×C43#347511yescharacteristic
808C2×C43#348111yescharacteristic
809D43—24no—
810D43—42no—
811C24×C4—431no—
812#551—4316no—
813C2×#126—431no—
814C2×#126—431no—
815C2×#124—431no—
816C2×#123—431no—
817C2×#123—431no—
818C2×#123C2×D4311yescharacteristic
819C2×C22⋊Q8—431no—
820C2×C22⋊Q8—431no—
821C2×#120—431no—
822C2×C4×Q8—431no—
823C2×C4×D4—431no—
824C2×C4×D4—431no—
825C2×C4×D4—431no—
826C2×C4×D4—431no—
827C2×C4×D4—431no—
828C2×C4×D4—431no—
829C2×C4×D4C2×D4311yescharacteristic
830C2×#117—431no—
831C2×#117—431no—
832C2×#117—431no—
833C2×#117C2×D4311yescharacteristic
834C22×C22⋊C4—431no—
835C22×C22⋊C4—431no—
836C22×C22⋊C4—431no—
837C22×C22⋊C4—431no—
838C22×C42—431no—
839C22×C42—431no—
840C22×C42—431no—
841C22×C42—431no—
842C22×C42—431no—
843#391—431no—
844#391—431no—
845#391—431no—
846#390—431no—
847#389—431no—
848#389C2×D4311yescharacteristic, complemented
849#388—431no—
850#388—431no—
851#388—431no—
852#388—431no—
853#388—431no—
854#388—431no—
855#388—431no—
856#388—431no—
857#388—431no—
858#388—431no—
859#388—431no—
860#388—431no—
861#388—431no—
862#388—431no—
863#388C2×D4311yescharacteristic, complemented
864#388C2×D4311yescharacteristic, complemented
865#387—431no—
866#387—431no—
867#387—431no—
868#387—431no—
869#387—431no—
870#387—431no—
871#387—431no—
872#387—431no—
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387—431no—
878#387—431no—
879#387C2×D4311yescharacteristic, complemented
880#387C2×D4311yescharacteristic, complemented
881#386—431no—
882#386—431no—
883#386—431no—
884#386—431no—
885#386—431no—
886#386C2×D4311yescharacteristic
887#385—431no—
888#385—431no—
889#385—431no—
890#385—431no—
891#385—431no—
892#385—431no—
893#385—431no—
894#385—431no—
895#385C2×D4311yescharacteristic
896#385C2×D4311yescharacteristic, complemented
897#383—431no—
898#383—431no—
899#382—431no—
900#381—431no—
901#381—431no—
902#381—431no—
903#380—431no—
904#380—431no—
905#379—431no—
906C4×C4⋊C4—431no—
907C4×C4⋊C4—431no—
908C4×C4⋊C4—431no—
909C4×C4⋊C4—431no—
910C4×C4⋊C4—431no—
911C4×C4⋊C4—431no—
912C4×C4⋊C4—431no—
913C4×C4⋊C4—431no—
914C4×C4⋊C4—431no—
915C4×C4⋊C4—431no—
916C4×C4⋊C4—431no—
917C4×C4⋊C4—431no—
918C4×C4⋊C4—431no—
919C4×C4⋊C4—431no—
920C4×C4⋊C4—431no—
921C4×C4⋊C4C2×D4311yescharacteristic, complemented
922C4×C22⋊C4—431no—
923C4×C22⋊C4—431no—
924C4×C22⋊C4—431no—
925C4×C22⋊C4—431no—
926C4×C22⋊C4—431no—
927C4×C22⋊C4—431no—
928C4×C22⋊C4—431no—
929C4×C22⋊C4—431no—
930C4×C22⋊C4—431no—
931C4×C22⋊C4—431no—
932C4×C22⋊C4—431no—
933C4×C22⋊C4—431no—
934C4×C22⋊C4—431no—
935C4×C22⋊C4—431no—
936C4×C22⋊C4—431no—
937C4×C22⋊C4—431no—
938C4×C22⋊C4—431no—
939C4×C22⋊C4—431no—
940C4×C22⋊C4—431no—
941C4×C22⋊C4—431no—
942C4×C22⋊C4—431no—
943C4×C22⋊C4—431no—
944C4×C22⋊C4—431no—
945C4×C22⋊C4—431no—
946C4×C22⋊C4—431no—
947C4×C22⋊C4—431no—
948C4×C22⋊C4—431no—
949C4×C22⋊C4—431no—
950C4×C22⋊C4—431no—
951C4×C22⋊C4—431no—
952C4×C22⋊C4—431no—
953C4×C22⋊C4—431no—
954C4×C22⋊C4C2×D4311yescharacteristic
955C4×C22⋊C4C2×D4311yescharacteristic, complemented
956#376—431no—
957#376—431no—
958#376—431no—
959#376—431no—
960C2×#95—431no—
961C2×#95—431no—
962C2×#95—431no—
963C2×#95C2×D4311yescharacteristic
964C43—431no—
965C43—431no—
966C43—431no—
967C43C4×#55111yescharacteristic, complemented, Sylow
968C25—431no—
969C22×Q8—431no—
970C22×D4—431no—
971C22×D4—431no—
972C22×D4C22×D4311yescharacteristic
973C23×C4—431no—
974C23×C4—431no—
975C23×C4—431no—
976C23×C4—431no—
977C23×C4—431no—
978C23×C4—431no—
979C23×C4—431no—
980C23×C4—431no—
981C23×C4—431no—
982C23×C4—431no—
983C23×C4—431no—
984C23×C4—431no—
985C23×C4—431no—
986C23×C4—864no—
987C23×C4—864no—
988C23×C4—1722no—
989C23×C4C22×D4311yescharacteristic
990C23×C4C22×D4311yescharacteristic
991C23×C4C22×D4311yescharacteristic
992C23×C4C22×D4311yescharacteristic
993#126—438no—
994#126—438no—
995#124—438no—
996#123—438no—
997#123—438no—
998#123C4×D4318yescomplemented
999C22⋊Q8—438no—
1000C22⋊Q8—438no—
1001#120—438no—
1002C4×Q8—1722no—
1003C4×D4—24no—
1004C4×D4—438no—
1005C4×D4—438no—
1006C4×D4—864no—
1007C4×D4—864no—
1008C4×D4—864no—
1009C4×D4—1722no—
1010#117—24no—
1011#117—438no—
1012#117—438no—
1013#117—864no—
1014C2×C4⋊C4—431no—
1015C2×C4⋊C4—431no—
1016C2×C4⋊C4—431no—
1017C2×C4⋊C4—431no—
1018C2×C4⋊C4—431no—
1019C2×C4⋊C4—431no—
1020C2×C4⋊C4—431no—
1021C2×C4⋊C4—431no—
1022C2×C4⋊C4—431no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4C22×D4311yescharacteristic
1030C2×C4⋊C4C22×D4311yescharacteristic
1031C2×C4⋊C4C22×D4311yescharacteristic
1032C2×C4⋊C4C22×D4311yescharacteristic
1033C2×C4⋊C4C22×D4311yescharacteristic
1034C2×C4⋊C4C22×D4311yescharacteristic
1035C2×C4⋊C4C22×D4311yescharacteristic
1036C2×C22⋊C4—431no—
1037C2×C22⋊C4—431no—
1038C2×C22⋊C4—431no—
1039C2×C22⋊C4—438no—
1040C2×C22⋊C4—431no—
1041C2×C22⋊C4—431no—
1042C2×C22⋊C4—431no—
1043C2×C22⋊C4—431no—
1044C2×C22⋊C4—431no—
1045C2×C22⋊C4—431no—
1046C2×C22⋊C4—431no—
1047C2×C22⋊C4—431no—
1048C2×C22⋊C4—431no—
1049C2×C22⋊C4—438no—
1050C2×C22⋊C4—431no—
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—864no—
1065C2×C22⋊C4—864no—
1066C2×C22⋊C4C22×D4311yescharacteristic
1067C2×C22⋊C4C22×D4311yescharacteristic
1068C2×C22⋊C4C22×D4311yescharacteristic
1069C2×C22⋊C4C22×D4311yescharacteristic
1070C2×C22⋊C4C22×D4311yescharacteristic
1071C2×C22⋊C4C22×D4311yescharacteristic
1072C2×C22⋊C4C22×D4311yescharacteristic
1073C2×C22⋊C4C22×D4311yescharacteristic
1074C2×C42—431no—
1075C2×C42—431no—
1076C2×C42—431no—
1077C2×C42—431no—
1078C2×C42—431no—
1079C2×C42—431no—
1080C2×C42—431no—
1081C2×C42—431no—
1082C2×C42—431no—
1083C2×C42—431no—
1084C2×C42—431no—
1085C2×C42—431no—
1086C2×C42—431no—
1087C2×C42—431no—
1088C2×C42—431no—
1089C2×C42—431no—
1090C2×C42—431no—
1091C2×C42—431no—
1092C2×C42—431no—
1093C2×C42—431no—
1094C2×C42—431no—
1095C2×C42—431no—
1096C2×C42—431no—
1097C2×C42—431no—
1098C2×C42—431no—
1099C2×C42—431no—
1100C2×C42—431no—
1101C2×C42—431no—
1102C2×C42—864no—
1103C2×C42—864no—
1104C2×C42—1722no—
1105C2×C42—1722no—
1106C2×C42—1722no—
1107C2×C42C22×D4311yescharacteristic
1108C2×C42C22×D4311yescharacteristic
1109C2×C42C22×D4311yescharacteristic
1110C2×C42C22×D4311yescharacteristic
1111C2×C42C22×D4311yescharacteristic
1112#95—431no—
1113#95—431no—
1114#95—431no—
1115#95—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95C22×D4311yescharacteristic
1147#95C22×D4311yescharacteristic
1148#95C22×D4311yescharacteristic
1149#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156C24—431no—
1157C24—431no—
1158C24—434no—
1159C24—862no—
1160C24—862no—
1161C24—862no—
1162C24—862no—
1163C24—1721no—
1164C24—1721no—
1165C24C23×D4311yescharacteristic
1166C24C23×D4311yescharacteristic
1167C2×Q8—434no—
1168C2×Q8—1721no—
1169C2×Q8—1721no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—434no—
1173C2×D4—434no—
1174C2×D4—862no—
1175C2×D4—862no—
1176C2×D4—1721no—
1177C2×D4—1721no—
1178C2×D4C2×C4×D4314yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—431no—
1191C22×C4—434no—
1192C22×C4—431no—
1193C22×C4—431no—
1194C22×C4—431no—
1195C22×C4—431no—
1196C22×C4—431no—
1197C22×C4—431no—
1198C22×C4—431no—
1199C22×C4—431no—
1200C22×C4—434no—
1201C22×C4—434no—
1202C22×C4—434no—
1203C22×C4—434no—
1204C22×C4—434no—
1205C22×C4—431no—
1206C22×C4—431no—
1207C22×C4—431no—
1208C22×C4—431no—
1209C22×C4—431no—
1210C22×C4—862no—
1211C22×C4—862no—
1212C22×C4—862no—
1213C22×C4—862no—
1214C22×C4—862no—
1215C22×C4—862no—
1216C22×C4—862no—
1217C22×C4—862no—
1218C22×C4—862no—
1219C22×C4—862no—
1220C22×C4—862no—
1221C22×C4—862no—
1222C22×C4—862no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—1721no—
1233C22×C4—1721no—
1234C22×C4—1721no—
1235C22×C4—1721no—
1236C22×C4—1721no—
1237C22×C4—1721no—
1238C22×C4—17216no—
1239C22×C4—1721no—
1240C22×C4—1721no—
1241C22×C4—1721no—
1242C22×C4—1721no—
1243C22×C4—1721no—
1244C22×C4C2×C4×D4314yes—
1245C22×C4C23×D4311yescharacteristic
1246C22×C4C23×D4311yescharacteristic
1247C22×C4C23×D4311yescharacteristic
1248C22×C4C23×D4311yescharacteristic
1249C22×C4C23×D4311yescharacteristic
1250C22×C4C23×D4311yescharacteristic
1251C22×C4C23×D4311yescharacteristic
1252C22×C4C23×D4311yescharacteristic
1253C22×C4C23×D4311yescharacteristic
1254C22×C4C23×D4311yescharacteristic
1255C22×C4C23×D4311yescharacteristic
1256C22×C4C23×D4311yescharacteristic
1257C22×C4C23×D4311yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—41no—
1263C4⋊C4—434no—
1264C4⋊C4—434no—
1265C4⋊C4—434no—
1266C4⋊C4—434no—
1267C4⋊C4—434no—
1268C4⋊C4—434no—
1269C4⋊C4—862no—
1270C4⋊C4—862no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—1721no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C4⋊C4C2×C4×D4314yescomplemented
1279C4⋊C4C2×C4×D4314yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—41no—
1284C22⋊C4—434no—
1285C22⋊C4—434no—
1286C22⋊C4—434no—
1287C22⋊C4—434no—
1288C22⋊C4—434no—
1289C22⋊C4—434no—
1290C22⋊C4—434no—
1291C22⋊C4—434no—
1292C22⋊C4—434no—
1293C22⋊C4—434no—
1294C22⋊C4—434no—
1295C22⋊C4—434no—
1296C22⋊C4—862no—
1297C22⋊C4—862no—
1298C22⋊C4—862no—
1299C22⋊C4—862no—
1300C22⋊C4—862no—
1301C22⋊C4—862no—
1302C22⋊C4—862no—
1303C22⋊C4—862no—
1304C22⋊C4—862no—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—1721no—
1308C22⋊C4—1721no—
1309C22⋊C4—1721no—
1310C22⋊C4C2×C4×D4314yes—
1311C22⋊C4C2×C4×D4314yescomplemented
1312C22⋊C4C2×C4×D4314yescomplemented
1313C22⋊C4#1062190014yes—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—41no—
1319C42—434no—
1320C42—434no—
1321C42—434no—
1322C42—862no—
1323C42—862no—
1324C42—862no—
1325C42—862no—
1326C42—862no—
1327C42—862no—
1328C42—862no—
1329C42—862no—
1330C42—862no—
1331C42—862no—
1332C42—862no—
1333C42—862no—
1334C42—862no—
1335C42—862no—
1336C42—862no—
1337C42—862no—
1338C42—862no—
1339C42—1721no—
1340C42—1721no—
1341C42—1721no—
1342C42—1721no—
1343C42—1721no—
1344C42—1721no—
1345C42—1721no—
1346C42—1721no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—432no—
1358C23—432no—
1359C23—432no—
1360C23—432no—
1361C23—868no—
1362C23—861no—
1363C23—861no—
1364C23—861no—
1365C23—861no—
1366C23—868no—
1367C23—861no—
1368C23—861no—
1369C23—861no—
1370C23—861no—
1371C23—861no—
1372C23—861no—
1373C23—1724no—
1374C23—1724no—
1375C23—1724no—
1376C23—1724no—
1377C23—1724no—
1378C23C22×C4×D4312yes—
1379C23C22×C4×D4312yes—
1380C23#41×D4312yes—
1381C23C2×#1062190012yes—
1382C23C24×D4311yescharacteristic
1383Q8—1724no—
1384D4—28no—
1385D4—868no—
1386D4—1724no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—432no—
1422C2×C4—432no—
1423C2×C4—432no—
1424C2×C4—432no—
1425C2×C4—432no—
1426C2×C4—432no—
1427C2×C4—432no—
1428C2×C4—432no—
1429C2×C4—432no—
1430C2×C4—432no—
1431C2×C4—432no—
1432C2×C4—868no—
1433C2×C4—868no—
1434C2×C4—868no—
1435C2×C4—861no—
1436C2×C4—861no—
1437C2×C4—861no—
1438C2×C4—861no—
1439C2×C4—861no—
1440C2×C4—861no—
1441C2×C4—861no—
1442C2×C4—861no—
1443C2×C4—861no—
1444C2×C4—861no—
1445C2×C4—861no—
1446C2×C4—861no—
1447C2×C4—861no—
1448C2×C4—861no—
1449C2×C4—861no—
1450C2×C4—861no—
1451C2×C4—861no—
1452C2×C4—861no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—861no—
1466C2×C4—1724no—
1467C2×C4—1724no—
1468C2×C4—1724no—
1469C2×C4—1724no—
1470C2×C4—1724no—
1471C2×C4—1724no—
1472C2×C4—1724no—
1473C2×C4—1724no—
1474C2×C4—1724no—
1475C2×C4—1724no—
1476C2×C4C22×C4×D4312yes—
1477C2×C4C22×C4×D4312yes—
1478C2×C4C22×C4×D4312yes—
1479C2×C4C22×C4×D4312yes—
1480C2×C4C22×C4×D4312yes—
1481C2×C4#41×D4312yes—
1482C2×C4#41×D4312yes—
1483C2×C4C2×#1062190012yes—
1484C2×C4C2×#1062190012yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—434no—
1499C22—862no—
1500C22—862no—
1501C22—862no—
1502C22—862no—
1503C22—862no—
1504C22—862no—
1505C22—862no—
1506C22—862no—
1507C22—862no—
1508C22—17216no—
1509C22—1721no—
1510C22—1721no—
1511C22—1721no—
1512C22—1721no—
1513C22C4×#1062190014yes—
1514C22C23×C4×D4311yescharacteristic
1515C22C2×#41×D4311yescharacteristic
1516C22C2×#41×D4311yescharacteristic
1517C22C2×#41×D4311yescharacteristic
1518C22C22×#1062190011yescharacteristic
1519C22H(5,𝔽2)×D4311yescharacteristic
1520C22#1458373611yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—434no—
1535C4—862no—
1536C4—862no—
1537C4—862no—
1538C4—862no—
1539C4—862no—
1540C4—862no—
1541C4—862no—
1542C4—862no—
1543C4—1721no—
1544C4—1721no—
1545C4—1721no—
1546C4—1721no—
1547C4—1721no—
1548C2—24no—
1549C2—42no—
1550C2—864no—
1551C2—1722no—
1552C2C4×#41×D4311yescharacteristic
1553C2C2×C4×#1062190011yescharacteristic
1554C2#1914780111yescharacteristic
1555C2#551×D4311yescharacteristic
1556C2#1914815811yescharacteristic
1557C2#1914816011yescharacteristic
1558C2#1914820011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2359C2
socle, cosocleC23×C43C25
prime radicalC2×#13063293C22
hypercenter#2359D43
hypocenterC43C4×#551
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. #19137725C2semidirect
3. #19137720C2semidirect
4. #19137718C2semidirect
5. #19137703C2semidirect
6. #19137677C2semidirect
7. #19137673C2semidirect
8. #19137590C2semidirect
10. #19137533C2semidirect
11. #19137530C2semidirect
12. #19137451C2semidirect
13. #19137450C2semidirect
14. #19137445C2semidirect
15. #19137442C2semidirect
16. #19137145C2semidirect
17. #19137145C2semidirect
18. #19137136C2semidirect
19. #19137127C2semidirect
20. #19137125C2semidirect
21. #19137122C2semidirect
22. #123×Dic43C2semidirect
23. #19137114C2semidirect
25. C4×D4×Dic43C2semidirect
26. C4×(C22⋊D43)⋊C4C2semidirect
27. #117×Dic43C2semidirect
28. C4×#13063283C2semidirect
29. C2×#14582746C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2359C2semidirect
33. #14583572C4semidirect
42. C2×#13063290C22semidirect
58. C22×C4×Dic43C22semidirect
61. #14582805C22semidirect
62. #14582803C22semidirect
63. #14582803C22semidirect
65. #14582794C22semidirect
66. #14582793C22semidirect
67. #14582792C22semidirect
68. #14582792C22semidirect
79. #14582787C22semidirect
80. #14582786C22semidirect
81. #14582786C22semidirect
82. #14582785C22semidirect
83. #14582785C22semidirect
84. #14582784C22semidirect
85. #14582784C22semidirect
86. #14582784C22semidirect
87. #14582784C22semidirect
88. #14582783C22semidirect
89. #14582782C22semidirect
90. #14582782C22semidirect
91. #14582782C22semidirect
92. #14582782C22semidirect
93. #14582780C22semidirect
107. #14582766C22semidirect
108. #14582766C22semidirect
109. #14582763C22semidirect
112. #14582760C22semidirect
116. C4⋊C4×Dic43C22semidirect
117. C4⋊C4×Dic43C22semidirect
118. C4⋊C4×Dic43C22semidirect
119. C4⋊C4×Dic43C22semidirect
120. C4⋊C4×Dic43C22semidirect
121. C4⋊C4×Dic43C22semidirect
122. C4⋊C4×Dic43C22semidirect
123. C4⋊C4×Dic43C22semidirect
124. C4⋊C4×Dic43C22semidirect
125. C4×Dic43⋊C4C22semidirect
126. C4×C4⋊Dic43C22semidirect
127. C4×C4⋊Dic43C22semidirect
128. #14582750C22semidirect
129. #14582750C22semidirect
130. #14582750C22semidirect
137. C22⋊C4×Dic43C22semidirect
138. C22⋊C4×Dic43C22semidirect
139. C22⋊C4×Dic43C22semidirect
140. C22⋊C4×Dic43C22semidirect
141. C22⋊C4×Dic43C22semidirect
149. C4×C22⋊Dic43C22semidirect
163. #14582745C22semidirect
164. #14582745C22semidirect
165. #14582744C22semidirect
166. #14582744C22semidirect
170. C42×Dic43C22semidirect
171. C42×Dic43C22semidirect
172. C42×Dic43C22semidirect
176. C43×#389C22semidirect
177. C43×#388C22semidirect
178. C43×#388C22semidirect
179. C43×#387C22semidirect
180. C43×#387C22semidirect
183. C43×#385C22semidirect
184. C4×C4⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
208. #13063320C2×C4semidirect
209. #13063320C2×C4semidirect
210. #13063311C2×C4semidirect
211. #13063309C2×C4semidirect
212. #13063307C2×C4semidirect
213. #13063305C2×C4semidirect
214. #13063302C2×C4semidirect
218. D4×Dic43C2×C4semidirect
222. (C22⋊D43)⋊C4C2×C4semidirect
223. #13063284C2×C4semidirect
225. #13063283C2×C4semidirect
250. C2×(C2×D43)⋊C4C2×C4semidirect
270. C22⋊C4×D43C2×C4semidirect
343. #123×C43C2×C4semidirect
434. C22×Dic43C22×C4semidirect
477. C2×Dic86C22×C4semidirect
483. C4⋊C4×C43C22×C4semidirect
484. C4⋊C4×C43C22×C4semidirect
490. C22⋊C4×C43C22×C4semidirect
491. C22⋊C4×C43C22×C4semidirect
505. C22⋊Dic43C22×C4semidirect
527. C4⋊Dic43C22×C4semidirect
528. C4⋊Dic43C22×C4semidirect
529. C4⋊Dic43C22×C4semidirect
530. C4⋊Dic43C22×C4semidirect
537. Dic43⋊C4C22×C4semidirect
538. Dic43⋊C4C22×C4semidirect
564. C4×Dic43C22×C4semidirect
565. C4×Dic43C22×C4semidirect
566. C4×Dic43C22×C4semidirect
768. Dic43#551semidirect
777. #2359D43semidirect
848. #389C2×D43semidirect
863. #388C2×D43semidirect
864. #388C2×D43semidirect
879. #387C2×D43semidirect
880. #387C2×D43semidirect
896. #385C2×D43semidirect
921. C4×C4⋊C4C2×D43semidirect
955. C4×C22⋊C4C2×D43semidirect
967. C43C4×#551semidirect
998. #123C4×D43semidirect
1278. C4⋊C4C2×C4×D43semidirect
1279. C4⋊C4C2×C4×D43semidirect
1311. C22⋊C4C2×C4×D43semidirect
1312. C22⋊C4C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145835722
#191377252
#191377202
#191377182
#191377032
#191376772
#191376732
#191375902
#191375722
#191375332
#191375302
#191374512
#191374502
#191374452
#191374422
#191371452
#191371362
#191371272
#191371252
#191371222
#123×Dic432
#191371142
#191371002
C4×D4×Dic432
C4×(C22⋊D43)⋊C42
#117×Dic432
C4×#130632832
C2×#145827462
C4×C22⋊C4×D432
C43×#23592
C4×#55143