Finite Group Databasebeta

← #25265383

Subgroups — #25265383

Order 11008.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583453C211yesmaximal, characteristic, complemented
2C22×#13063282C211yesmaximal, characteristic
3#19138318C211yesmaximal, characteristic, complemented
4#19138316C211yesmaximal, characteristic, complemented
5#19138307C211yesmaximal, characteristic, complemented
6#19138305C211yesmaximal, characteristic, complemented
7#19138296C211yesmaximal, characteristic, complemented
8#19138294C211yesmaximal, characteristic, complemented
9#19138285C211yesmaximal, characteristic, complemented
10#19138283C211yesmaximal, characteristic, complemented
11#19138278C211yesmaximal, characteristic, complemented
12#19138276C211yesmaximal, characteristic, complemented
13#19138270C211yesmaximal, characteristic, complemented
14#19138268C211yesmaximal, characteristic, complemented
15#19138263C211yesmaximal, characteristic
16#19138260C211yesmaximal, characteristic
17#19138259C211yesmaximal, characteristic
18#19138258C211yesmaximal, characteristic
19#19137871C211yesmaximal, characteristic, complemented
20#19137871C211yesmaximal, characteristic, complemented
21#19137867C211yesmaximal, characteristic, complemented
22#19137865C211yesmaximal, characteristic, complemented
23C4×#13063304C211yesmaximal, characteristic, complemented
24C4×#13063302C211yesmaximal, characteristic, complemented
25C4×#13063302C211yesmaximal, characteristic, complemented
26#19137075C211yesmaximal, characteristic, complemented
27#19137075C211yesmaximal, characteristic, complemented
28#19136999C211yesmaximal, characteristic, complemented
29#19136976C211yesmaximal, characteristic
30C4×C22⋊C4×D43C211yesmaximal, characteristic
31C4×C22⋊Q8×C43C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33#14583453—28no—
34C2×#13063324C2211yescharacteristic, complemented
35C2×#13063323C2211yescharacteristic, complemented
36C2×#13063315C2211yescharacteristic, complemented
37C2×#13063315C2211yescharacteristic, complemented
38C2×#13063305C2211yescharacteristic
39C2×#13063304C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063303C2211yescharacteristic
42C2×#13063302C2211yescharacteristic
43C2×#13063302C2211yescharacteristic
44C2×#13063301C2211yescharacteristic
45C2×C4×Dic86C2211yescharacteristic, complemented
46C2×C4×Dic86C2211yescharacteristic, complemented
47C2×C4×Dic86C2211yescharacteristic, complemented
48C2×#13063282—28no—
49C2×#13063282C2211yescharacteristic
50C2×#13063282C2211yescharacteristic
51C2×#13063282C2211yescharacteristic
52C2×#13063282C2211yescharacteristic
53C2×#13063282C2211yescharacteristic
54C2×#13063282C2211yescharacteristic
55C2×#13063282C2211yescharacteristic
56C2×#13063282C2211yescharacteristic
57C2×#13063282C2211yescharacteristic
58C2×#13063282C2211yescharacteristic
59C22×Dic43⋊C4C2211yescharacteristic
60C22×Dic43⋊C4C2211yescharacteristic
61C22×(C2×D43)⋊C4C2211yescharacteristic
62C22×(C2×D43)⋊C4C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C22×C4×Dic43C2211yescharacteristic
66C2×C42×D43C2211yescharacteristic
67C2×C42×D43C2211yescharacteristic
68#14582840C2211yescharacteristic, complemented
69#14582840C2211yescharacteristic, complemented
70#14582839C2211yescharacteristic, complemented
71#14582837C2211yescharacteristic, complemented
72#14582836C2211yescharacteristic
73#14582834C2211yescharacteristic
74#14582834C2211yescharacteristic
75#14582834C2211yescharacteristic
76#14582833C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582830C2211yescharacteristic, complemented
81#14582830C2211yescharacteristic, complemented
82#14582829C2211yescharacteristic, complemented
83#14582829C2211yescharacteristic, complemented
84#14582823C2211yescharacteristic
85#14582823C2211yescharacteristic
86#14582821C2211yescharacteristic
87#14582821C2211yescharacteristic
88#14582821C2211yescharacteristic
89#14582821C2211yescharacteristic
90#14582821C2211yescharacteristic
91#14582821C2211yescharacteristic
92#14582820C2211yescharacteristic, complemented
93#14582819C2211yescharacteristic, complemented
94#14582819C2211yescharacteristic, complemented
95#14582818C2211yescharacteristic, complemented
96#14582812C2211yescharacteristic
97#14582812C2211yescharacteristic
98#14582812C2211yescharacteristic
99#14582810C2211yescharacteristic
100#14582805C2211yescharacteristic, complemented
101#14582803C2211yescharacteristic, complemented
102#14582803C2211yescharacteristic, complemented
103#14582797C2211yescharacteristic, complemented
104#14582796C2211yescharacteristic, complemented
105#14582796C2211yescharacteristic, complemented
106#14582796C2211yescharacteristic, complemented
107#14582796C2211yescharacteristic, complemented
108#14582796C2211yescharacteristic, complemented
109#14582796C2211yescharacteristic, complemented
110#14582794C2211yescharacteristic, complemented
111#14582794C2211yescharacteristic, complemented
112#14582794C2211yescharacteristic, complemented
113#14582794C2211yescharacteristic, complemented
114#14582786C2211yescharacteristic, complemented
115#14582786C2211yescharacteristic, complemented
116#14582783C2211yescharacteristic, complemented
117#14582783C2211yescharacteristic, complemented
118#14582782C2211yescharacteristic, complemented
119#14582782C2211yescharacteristic, complemented
120#14582774C2211yescharacteristic
121#14582774C2211yescharacteristic
122#14582773C2211yescharacteristic
123#14582773C2211yescharacteristic
124#14582773C2211yescharacteristic
125#14582773C2211yescharacteristic
126#14582772C2211yescharacteristic
127#14582772C2211yescharacteristic
128#14582771C2211yescharacteristic
129#14582771C2211yescharacteristic
130#14582770C2211yescharacteristic
131#14582770C2211yescharacteristic
132#14582770C2211yescharacteristic
133#14582770C2211yescharacteristic
134#14582768C2211yescharacteristic, complemented
135#14582768C2211yescharacteristic, complemented
136#14582763C2211yescharacteristic, complemented
137#14582763C2211yescharacteristic, complemented
138#14582761C2211yescharacteristic
139#14582761C2211yescharacteristic
140#14582759C2211yescharacteristic
141#14582758C2211yescharacteristic
142#14582758C2211yescharacteristic
143#14582758C2211yescharacteristic
144#14582758C2211yescharacteristic
145#14582757C2211yescharacteristic
146#14582757C2211yescharacteristic
147#14582757C2211yescharacteristic
148#14582757C2211yescharacteristic
149#14582756C2211yescharacteristic
150#14582756C2211yescharacteristic
151#14582754C2211yescharacteristic
152#14582754C2211yescharacteristic
153C4×Dic43⋊C4C2211yescharacteristic, complemented
154C4×Dic43⋊C4C2211yescharacteristic, complemented
155C4×Dic43⋊C4C2211yescharacteristic, complemented
156C4×Dic43⋊C4C2211yescharacteristic, complemented
157C4×Dic43⋊C4C2211yescharacteristic, complemented
158C4×Dic43⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic43C2211yescharacteristic, complemented
160C4×C4⋊Dic43C2211yescharacteristic, complemented
161C4×C4⋊Dic43C2211yescharacteristic, complemented
162C22⋊C4×Dic43C2211yescharacteristic
163C22⋊C4×Dic43C2211yescharacteristic
164C4×(C2×D43)⋊C4C2211yescharacteristic
165C4×(C2×D43)⋊C4C2211yescharacteristic
166C4×(C2×D43)⋊C4C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic
168C4×C22⋊Dic43C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic
170#14582746C2211yescharacteristic
171#14582746C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C4×Q8×C43C2211yescharacteristic, complemented
176C22×C42×C43C2211yescharacteristic
177C43×#391C2211yescharacteristic, complemented
178C43×#389C2211yescharacteristic, complemented
179C43×#387C2211yescharacteristic, complemented
180C43×#387C2211yescharacteristic, complemented
181C43×#385C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#380C2211yescharacteristic
184C4×C4⋊C4×C43C2211yescharacteristic, complemented
185C4×C4⋊C4×C43C2211yescharacteristic, complemented
186C4×C4⋊C4×C43C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic
188C4×C22⋊C4×C43C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C22×C4×D43—24no—
197C22×C4×D43—24no—
198C22×C4×D43Q818yescomplemented
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063324—24no—
208#13063323—24no—
209#13063315—24no—
210#13063315—24no—
211#13063305—24no—
212#13063304—24no—
213#13063303—24no—
214#13063303—24no—
215#13063302—24no—
216#13063302—24no—
217#13063301—24no—
218C4×Dic86—24no—
219C4×Dic86—24no—
220C4×Dic86—24no—
221#13063282—24no—
222#13063282—24no—
223#13063282—24no—
224#13063282—24no—
225#13063282—24no—
226#13063282—24no—
227#13063282—24no—
228#13063282—24no—
229#13063282—24no—
230#13063282D418yes—
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×Dic43⋊C4—24no—
241C2×Dic43⋊C4—24no—
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×(C2×D43)⋊C4—24no—
277C2×(C2×D43)⋊C4—24no—
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
298C22⋊C4×D43—24no—
299C22⋊C4×D43—24no—
300C2×C4×Dic43—24no—
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C42×D43—24no—
314C42×D43—24no—
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
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C22×Q8×C43C2311yescharacteristic
346C23×C4×C43C2311yescharacteristic
347C23×C4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C22⋊Q8×C43—24no—
350C4×Q8×C43—24no—
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C42×C43—24no—
365C2×C42×C43C2311yescharacteristic
366C2×C42×C43C2311yescharacteristic
367C2×C42×C43C2311yescharacteristic
368C2×C42×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372C2×C42×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×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
383C24×C43C2411yescharacteristic
384C23×D43—22no—
385C23×D43—22no—
386C23×D43—22no—
387C23×D43—22no—
388C23×D43—41no—
389C23×D43—41no—
390C23×D43C2×Q814yes—
391C23×D43C2411yescharacteristic
392C23×D43C2411yescharacteristic
393C2×Q8×C43—22no—
394C2×Q8×C43—22no—
395C2×Q8×C43—41no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43C2×Q814yes—
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
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×Dic43—22no—
420C22×Dic43—22no—
421C22×Dic43—22no—
422C22×Dic43—22no—
423C22×Dic43—22no—
424C22×Dic43—22no—
425C22×Dic43—41no—
426C22×Dic43—41no—
427C22×Dic43C2×Q814yes—
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C2×C4×D43—22no—
443C2×C4×D43—22no—
444C2×C4×D43—22no—
445C2×C4×D43—22no—
446C2×C4×D43—232no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
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—41no—
458C2×C4×D43—41no—
459C2×C4×D43—41no—
460C2×C4×D43—41no—
461C2×C4×D43C2×D414yes—
462C2×C4×D43C2×Q814yes—
463C2×C4×D43C2×Q814yes—
464C2×C4×D43C2×Q814yes—
465C2×C4×D43C2×Q814yes—
466C2×C4×D43#4114yes—
467C2×Dic86—22no—
468C2×Dic86—22no—
469C2×Dic86—22no—
470C2×Dic86—22no—
471C2×Dic86—22no—
472C2×Dic86—22no—
473C2×Dic86—41no—
474C2×Dic86—41no—
475C2×Dic86—41no—
476C4⋊C4×C43—22no—
477C4⋊C4×C43—22no—
478C4⋊C4×C43—22no—
479C4⋊C4×C43—22no—
480C4⋊C4×C43—22no—
481C4⋊C4×C43—22no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43#4114yes—
489C42×C43—22no—
490C42×C43—22no—
491C42×C43—22no—
492C42×C43—22no—
493C42×C43—22no—
494C42×C43—22no—
495C42×C43—22no—
496C42×C43C2×D414yes—
497C22⋊Dic43—22no—
498C22⋊Dic43—22no—
499C22⋊Dic43—22no—
500C22⋊Dic43#4114yes—
501(C2×D43)⋊C4—22no—
502(C2×D43)⋊C4—22no—
503(C2×D43)⋊C4—22no—
504(C2×D43)⋊C4—22no—
505(C2×D43)⋊C4—22no—
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—22no—
514(C2×D43)⋊C4—22no—
515(C2×D43)⋊C4—41no—
516(C2×D43)⋊C4—41no—
517(C2×D43)⋊C4—41no—
518(C2×D43)⋊C4—41no—
519(C2×D43)⋊C4C2×D414yes—
520(C2×D43)⋊C4C2×D414yes—
521C4⋊Dic43—22no—
522C4⋊Dic43—22no—
523C4⋊Dic43—22no—
524C4⋊Dic43—22no—
525C4⋊Dic43—22no—
526C4⋊Dic43—22no—
527C4⋊Dic43—41no—
528C4⋊Dic43—41no—
529C4⋊Dic43—41no—
530Dic43⋊C4—22no—
531Dic43⋊C4—22no—
532Dic43⋊C4—22no—
533Dic43⋊C4—22no—
534Dic43⋊C4—22no—
535Dic43⋊C4—22no—
536Dic43⋊C4—22no—
537Dic43⋊C4—22no—
538Dic43⋊C4—22no—
539Dic43⋊C4—22no—
540Dic43⋊C4—22no—
541Dic43⋊C4—22no—
542Dic43⋊C4—22no—
543Dic43⋊C4—22no—
544Dic43⋊C4—22no—
545Dic43⋊C4—22no—
546Dic43⋊C4—22no—
547Dic43⋊C4—22no—
548Dic43⋊C4—22no—
549Dic43⋊C4—22no—
550Dic43⋊C4—22no—
551Dic43⋊C4—22no—
552Dic43⋊C4—41no—
553Dic43⋊C4—41no—
554Dic43⋊C4—41no—
555Dic43⋊C4—41no—
556Dic43⋊C4—41no—
557Dic43⋊C4—41no—
558Dic43⋊C4C2×D414yes—
559Dic43⋊C4C2×D414yes—
560C4×Dic43—22no—
561C4×Dic43—22no—
562C4×Dic43—22no—
563C4×Dic43—22no—
564C4×Dic43—22no—
565C4×Dic43—22no—
566C4×Dic43—22no—
567C4×Dic43—22no—
568C4×Dic43—22no—
569C4×Dic43—22no—
570C4×Dic43—22no—
571C4×Dic43C2×D414yes—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43C22×Q812yes—
577C23×C43C2×#4112yes—
578C23×C43C2×#4112yes—
579C23×C43C2511yescharacteristic
580C22×D43—21no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—28no—
585C22×D43—21no—
586C22×D43—21no—
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—28no—
592C22×D43—44no—
593C22×D43—44no—
594C22×D43—44no—
595C22×D43—44no—
596C22×D43—44no—
597C22×D43C22×D412yes—
598C22×D43C22×Q812yes—
599C22×D43C22×Q812yes—
600C22×D43C2×#4112yes—
601Q8×C43—44no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
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—28no—
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—21no—
636C2×C4×C43—21no—
637C2×C4×C43—44no—
638C2×C4×C43—44no—
639C2×C4×C43C22×D412yes—
640C2×C4×C43C22×D412yes—
641C2×C4×C43C22×D412yes—
642C2×C4×C43C22×Q812yes—
643C2×C4×C43C22×Q812yes—
644C2×C4×C43C2×#4112yes—
645C2×C4×C43C2×#4112yes—
646C2×C4×C43C2×#4112yes—
647C2×Dic43—21no—
648C2×Dic43—21no—
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—28no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
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—21no—
682C2×Dic43—44no—
683C2×Dic43—44no—
684C2×Dic43C22×D412yes—
685C2×Dic43C22×D412yes—
686C2×Dic43C22×D412yes—
687C2×Dic43C22×Q812yes—
688C2×Dic43C22×Q812yes—
689C2×Dic43C2×#4112yes—
690C2×Dic43C2×#4112yes—
691C2×Dic43C2×#4112yes—
692C4×D43—28no—
693C4×D43—28no—
694C4×D43—28no—
695C4×D43—44no—
696C4×D43—44no—
697C4×D43—44no—
698C4×D43—44no—
699C4×D43C22⋊Q8116yescomplemented
700Dic86—44no—
701Dic86—44no—
702Dic86—44no—
703#34739—431nomaximal, Sylow
704C22×C43—22no—
705C22×C43—22no—
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—22no—
709C22×C43—22no—
710C22×C43#53314yescomplemented
711C22×C43C23×D411yescharacteristic
712C22×C43C23×Q811yescharacteristic
713C22×C43C22×#4111yescharacteristic
714C22×C43C22×#4111yescharacteristic
715C22×C43C22×#4111yescharacteristic
716C22×C43#58511yescharacteristic
717C22×C43#58511yescharacteristic
718C2×D43—22no—
719C2×D43—22no—
720C2×D43—22no—
721C2×D43—22no—
722C2×D43—22no—
723C2×D43—22no—
724C2×D43—22no—
725C2×D43—22no—
726C2×D43—22no—
727C2×D43—416no—
728C2×D43—41no—
729C2×D43—41no—
730C2×D43—41no—
731C2×D43—41no—
732C2×D43C2×C22⋊Q814yes—
733C4×C43—22no—
734C4×C43—22no—
735C4×C43—22no—
736C4×C43—22no—
737C4×C43—22no—
738C4×C43—41no—
739C4×C43—41no—
740C4×C43—41no—
741C4×C43—41no—
742C4×C43—41no—
743C4×C43—41no—
744C4×C43—41no—
745C4×C43—41no—
746C4×C43C2×C22⋊Q814yes—
747Dic43—22no—
748Dic43—22no—
749Dic43—22no—
750Dic43—22no—
751Dic43—22no—
752Dic43—41no—
753Dic43—41no—
754Dic43—41no—
755Dic43—41no—
756Dic43—41no—
757Dic43—41no—
758Dic43—41no—
759Dic43—41no—
760Dic43C2×C22⋊Q814yes—
761C2×#533—431no—
762C22×#117—431no—
763#2442—431no—
764#2442—431no—
765#2441—431no—
766#2441—431no—
767#2440—431no—
768#2440—431no—
769#2439—431no—
770#2439—431no—
771#2438—431no—
772#2438—431no—
773#2438—431no—
774#2438—431no—
775#2437—431no—
776#2437—431no—
777#2437—431no—
778#2437—431no—
779#2396—431no—
780#2396—431no—
781#2396—431no—
782#2396—431no—
783C4×C22⋊Q8—431no—
784C4×C22⋊Q8—431no—
785C4×C22⋊Q8—431no—
786C4×C22⋊Q8D4311yescharacteristic, complemented
787#2296—431no—
788#2296—431no—
789#2285—431no—
790#2280—431no—
791C2×C4×C22⋊C4—431no—
792C2×C43—24no—
793C2×C43C22×C22⋊Q811yescharacteristic
794C2×C43C2×#53311yescharacteristic
795C2×C43#345811yescharacteristic
796C2×C43D4×#4111yescharacteristic
797C2×C43D4×#4111yescharacteristic
798C2×C43#347511yescharacteristic
799C2×C43#347511yescharacteristic
800D43—24no—
801D43—42no—
802C24×C4—431no—
803#533—868no—
804C2×C4⋊Q8—431no—
805C2×C4⋊Q8—431no—
806C2×#125—431no—
807C2×#125—431no—
808C2×C22⋊Q8—431no—
809C2×C22⋊Q8—431no—
810C2×C22⋊Q8—431no—
811C2×C22⋊Q8—431no—
812C2×C22⋊Q8—431no—
813C2×C22⋊Q8—431no—
814C2×C22⋊Q8—431no—
815C2×C22⋊Q8C2×D4311yescharacteristic
816C2×C4×Q8—431no—
817C2×C4×Q8—431no—
818C2×C4×Q8—431no—
819C2×C4×Q8C2×D4311yescharacteristic, complemented
820C2×#117—431no—
821C2×#117—431no—
822C2×#117—431no—
823C2×#117—431no—
824C2×#117—431no—
825C2×#117—431no—
826C2×#117—431no—
827C2×#117—431no—
828C2×#117—431no—
829C2×#117—431no—
830C2×#117—868no—
831C22×C4⋊C4—431no—
832C22×C4⋊C4—431no—
833C22×C22⋊C4—431no—
834C22×C22⋊C4—431no—
835C22×C22⋊C4—431no—
836C22×C22⋊C4—431no—
837C22×C42—431no—
838C22×C42—431no—
839C22×C42—431no—
840C22×C42C2×D4311yescharacteristic
841#400—431no—
842#400—431no—
843#400—431no—
844#400—431no—
845#399—431no—
846#399—431no—
847#399—431no—
848#399—431no—
849#398—431no—
850#398—431no—
851#398—431no—
852#398—431no—
853#398—431no—
854#398—431no—
855#398—431no—
856#398—431no—
857#396—431no—
858#396—431no—
859#396—431no—
860#396—431no—
861#396—431no—
862#396—431no—
863#396—431no—
864#396—431no—
865#395—431no—
866#395—431no—
867#395—431no—
868#395—431no—
869#393—431no—
870#393—431no—
871#393—431no—
872#393—431no—
873#391—431no—
874#391—431no—
875#391—431no—
876#391C2×D4311yescharacteristic, complemented
877#389—431no—
878#389—431no—
879#389—431no—
880#389—431no—
881#389—431no—
882#389—431no—
883#389—431no—
884#389—431no—
885#389—431no—
886#389—431no—
887#389—431no—
888#389C2×D4311yescharacteristic, complemented
889#387—431no—
890#387—431no—
891#387—431no—
892#387—431no—
893#387—431no—
894#387—431no—
895#387C2×D4311yescharacteristic, complemented
896#387C2×D4311yescharacteristic, complemented
897#385—431no—
898#385—431no—
899#385—431no—
900#385—431no—
901#385—431no—
902#385—431no—
903#385—431no—
904#385—431no—
905#385—431no—
906#385—431no—
907#385—431no—
908#385—431no—
909#385—431no—
910#385—431no—
911#385C2×D4311yescharacteristic
912#385C2×D4311yescharacteristic
913#384—431no—
914#384—431no—
915#382—431no—
916#382—431no—
917#381—431no—
918#381—431no—
919#380—431no—
920#380—431no—
921#380—431no—
922#380—431no—
923#380—431no—
924#380—431no—
925#380—431no—
926#380—431no—
927#380—431no—
928#380—431no—
929#380—431no—
930#380C2×D4311yescharacteristic
931#379—431no—
932#379—431no—
933C4×C4⋊C4—431no—
934C4×C4⋊C4—431no—
935C4×C4⋊C4—431no—
936C4×C4⋊C4—431no—
937C4×C4⋊C4—431no—
938C4×C4⋊C4—431no—
939C4×C4⋊C4—431no—
940C4×C4⋊C4—431no—
941C4×C4⋊C4—431no—
942C4×C4⋊C4C2×D4311yescharacteristic, complemented
943C4×C4⋊C4C2×D4311yescharacteristic, complemented
944C4×C4⋊C4C2×D4311yescharacteristic, complemented
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⋊C4—431no—
955C4×C22⋊C4C2×D4311yescharacteristic
956C4×C22⋊C4C2×D4311yescharacteristic
957C2×#95—431no—
958C2×#95—431no—
959C43#3473911yescharacteristic, complemented, Sylow
960C25—431no—
961C22×Q8—431no—
962C22×Q8—431no—
963C22×Q8—431no—
964C22×Q8C22×D4311yescharacteristic
965C23×C4—431no—
966C23×C4—431no—
967C23×C4—438no—
968C23×C4—431no—
969C23×C4—431no—
970C23×C4—431no—
971C23×C4—431no—
972C23×C4—431no—
973C23×C4—431no—
974C23×C4—431no—
975C23×C4—431no—
976C23×C4—431no—
977C23×C4—864no—
978C23×C4—864no—
979C23×C4C22×D4311yescharacteristic
980C23×C4C22×D4311yescharacteristic
981C23×C4C22×D4311yescharacteristic
982C4⋊Q8—864no—
983C4⋊Q8—864no—
984#125—864no—
985#125—864no—
986C22⋊Q8—24no—
987C22⋊Q8—864no—
988C22⋊Q8—864no—
989C22⋊Q8—864no—
990C22⋊Q8—864no—
991C22⋊Q8—864no—
992C22⋊Q8—864no—
993C22⋊Q8—864no—
994C4×Q8—24no—
995C4×Q8—864no—
996C4×Q8—864no—
997C4×Q8—864no—
998#117—438no—
999#117—864no—
1000#117—864no—
1001#117—864no—
1002#117—864no—
1003#117—864no—
1004#117—864no—
1005#117—864no—
1006#117—864no—
1007#117—864no—
1008C2×C4⋊C4—431no—
1009C2×C4⋊C4—431no—
1010C2×C4⋊C4—431no—
1011C2×C4⋊C4—431no—
1012C2×C4⋊C4—431no—
1013C2×C4⋊C4—431no—
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⋊C4—431no—
1030C2×C4⋊C4—431no—
1031C2×C4⋊C4—431no—
1032C2×C4⋊C4—431no—
1033C2×C4⋊C4—431no—
1034C2×C4⋊C4—431no—
1035C2×C4⋊C4—431no—
1036C2×C4⋊C4—431no—
1037C2×C4⋊C4—431no—
1038C2×C4⋊C4—431no—
1039C2×C4⋊C4—431no—
1040C2×C4⋊C4—431no—
1041C2×C4⋊C4—431no—
1042C2×C4⋊C4—431no—
1043C2×C4⋊C4—431no—
1044C2×C4⋊C4—431no—
1045C2×C4⋊C4—431no—
1046C2×C4⋊C4—431no—
1047C2×C4⋊C4—864no—
1048C2×C4⋊C4—864no—
1049C2×C4⋊C4C22×D4311yescharacteristic
1050C2×C4⋊C4C22×D4311yescharacteristic
1051C2×C4⋊C4C22×D4311yescharacteristic
1052C2×C4⋊C4C22×D4311yescharacteristic
1053C2×C4⋊C4C22×D4311yescharacteristic
1054C2×C4⋊C4C22×D4311yescharacteristic
1055C2×C4⋊C4C22×D4311yescharacteristic
1056C2×C4⋊C4C22×D4311yescharacteristic
1057C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—431no—
1075C2×C22⋊C4—431no—
1076C2×C22⋊C4—431no—
1077C2×C22⋊C4—431no—
1078C2×C22⋊C4—431no—
1079C2×C22⋊C4—431no—
1080C2×C22⋊C4—431no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—864no—
1083C2×C22⋊C4—864no—
1084C2×C22⋊C4—864no—
1085C2×C22⋊C4—864no—
1086C2×C22⋊C4C22×D4311yescharacteristic
1087C2×C22⋊C4C22×D4311yescharacteristic
1088C2×C22⋊C4C22×D4311yescharacteristic
1089C2×C22⋊C4C22×D4311yescharacteristic
1090C2×C42—24no—
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—431no—
1103C2×C42—864no—
1104C2×C42—864no—
1105C2×C42—864no—
1106C2×C42C22×D4311yescharacteristic
1107C2×C42C22×D4311yescharacteristic
1108C2×C42C22×D4311yescharacteristic
1109C2×C42C22×D4311yescharacteristic
1110C2×C42C22×D4311yescharacteristic
1111C2×C42C22×D4311yescharacteristic
1112C2×C42C22×D4311yescharacteristic
1113C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
1145#95C22×D4311yescharacteristic
1146#95C22×D4311yescharacteristic
1147#95C22×D4311yescharacteristic
1148#95C22×D4311yescharacteristic
1149#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154C24—431no—
1155C24—431no—
1156C24—434no—
1157C24—862no—
1158C24—862no—
1159C24—862no—
1160C24—862no—
1161C24—1721no—
1162C24—1721no—
1163C24C23×D4311yescharacteristic
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—41no—
1167C2×Q8—862no—
1168C2×Q8—862no—
1169C2×Q8—862no—
1170C2×Q8—862no—
1171C2×Q8—862no—
1172C2×Q8—862no—
1173C2×Q8—1721no—
1174C2×Q8—1721no—
1175C2×Q8—1721no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—431no—
1185C22×C4—434no—
1186C22×C4—434no—
1187C22×C4—434no—
1188C22×C4—434no—
1189C22×C4—431no—
1190C22×C4—431no—
1191C22×C4—431no—
1192C22×C4—431no—
1193C22×C4—431no—
1194C22×C4—434no—
1195C22×C4—434no—
1196C22×C4—434no—
1197C22×C4—431no—
1198C22×C4—431no—
1199C22×C4—431no—
1200C22×C4—431no—
1201C22×C4—431no—
1202C22×C4—431no—
1203C22×C4—431no—
1204C22×C4—431no—
1205C22×C4—862no—
1206C22×C4—862no—
1207C22×C4—8632no—
1208C22×C4—862no—
1209C22×C4—862no—
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—1721no—
1227C22×C4—1721no—
1228C22×C4—1721no—
1229C22×C4—1721no—
1230C22×C4—1721no—
1231C22×C4—1721no—
1232C22×C4Q8×D4314yes—
1233C22×C4C23×D4311yescharacteristic
1234C22×C4C23×D4311yescharacteristic
1235C22×C4C23×D4311yescharacteristic
1236C22×C4C23×D4311yescharacteristic
1237C22×C4C23×D4311yescharacteristic
1238C22×C4C23×D4311yescharacteristic
1239C22×C4C23×D4311yescharacteristic
1240C22×C4C23×D4311yescharacteristic
1241C22×C4C23×D4311yescharacteristic
1242C22×C4C23×D4311yescharacteristic
1243C22×C4C23×D4311yescharacteristic
1244C22×C4C23×D4311yescharacteristic
1245C22×C4C23×D4311yescharacteristic
1246C22×C4C23×D4311yescharacteristic
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—434no—
1257C4⋊C4—434no—
1258C4⋊C4—862no—
1259C4⋊C4—862no—
1260C4⋊C4—862no—
1261C4⋊C4—862no—
1262C4⋊C4—862no—
1263C4⋊C4—862no—
1264C4⋊C4—862no—
1265C4⋊C4—862no—
1266C4⋊C4—862no—
1267C4⋊C4—862no—
1268C4⋊C4—862no—
1269C4⋊C4—862no—
1270C4⋊C4—862no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—862no—
1274C4⋊C4—862no—
1275C4⋊C4—862no—
1276C4⋊C4—862no—
1277C4⋊C4—862no—
1278C4⋊C4—862no—
1279C4⋊C4—862no—
1280C4⋊C4—862no—
1281C4⋊C4—862no—
1282C4⋊C4—862no—
1283C4⋊C4—862no—
1284C4⋊C4—862no—
1285C4⋊C4—862no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C4⋊C4—1721no—
1289C4⋊C4—1721no—
1290C4⋊C4—1721no—
1291C4⋊C4—1721no—
1292C4⋊C4—1721no—
1293C4⋊C4—1721no—
1294C4⋊C4—1721no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—434no—
1299C22⋊C4—434no—
1300C22⋊C4—434no—
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—862no—
1311C22⋊C4—862no—
1312C22⋊C4—862no—
1313C22⋊C4—862no—
1314C22⋊C4—862no—
1315C22⋊C4—862no—
1316C22⋊C4—862no—
1317C22⋊C4—862no—
1318C22⋊C4—1721no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4—1721no—
1322C22⋊C4#1062189814yes—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—434no—
1331C42—862no—
1332C42—862no—
1333C42—862no—
1334C42—862no—
1335C42—862no—
1336C42—862no—
1337C42—862no—
1338C42—862no—
1339C42—862no—
1340C42—862no—
1341C42—862no—
1342C42D4×D4314yes—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—432no—
1348C23—432no—
1349C23—432no—
1350C23—432no—
1351C23—868no—
1352C23—861no—
1353C23—861no—
1354C23—861no—
1355C23—861no—
1356C23—868no—
1357C23—861no—
1358C23—861no—
1359C23—861no—
1360C23—861no—
1361C23—861no—
1362C23—861no—
1363C23—1724no—
1364C23—1724no—
1365C23—1724no—
1366C23—1724no—
1367C23—1724no—
1368C23C2×Q8×D4312yes—
1369C23#41×D4312yes—
1370C23C2×#1062189812yes—
1371C23C24×D4311yescharacteristic
1372Q8—44no—
1373Q8—1724no—
1374Q8—1724no—
1375Q8—1724no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—28no—
1387C2×C4—21no—
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—44no—
1412C2×C4—44no—
1413C2×C4—432no—
1414C2×C4—432no—
1415C2×C4—432no—
1416C2×C4—4316no—
1417C2×C4—432no—
1418C2×C4—432no—
1419C2×C4—432no—
1420C2×C4—432no—
1421C2×C4—432no—
1422C2×C4—868no—
1423C2×C4—868no—
1424C2×C4—868no—
1425C2×C4—861no—
1426C2×C4—861no—
1427C2×C4—861no—
1428C2×C4—861no—
1429C2×C4—861no—
1430C2×C4—861no—
1431C2×C4—861no—
1432C2×C4—861no—
1433C2×C4—861no—
1434C2×C4—861no—
1435C2×C4—868no—
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—1724no—
1461C2×C4—1724no—
1462C2×C4—1724no—
1463C2×C4—1724no—
1464C2×C4—1724no—
1465C2×C4—1724no—
1466C2×C4C2×D4×D4312yes—
1467C2×C4C2×D4×D4312yes—
1468C2×C4C2×D4×D4312yes—
1469C2×C4C2×Q8×D4312yes—
1470C2×C4C2×Q8×D4312yes—
1471C2×C4#41×D4312yes—
1472C2×C4C2×#1062189812yes—
1473C2×C4C2×#1062189812yes—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—434no—
1481C22—862no—
1482C22—862no—
1483C22—862no—
1484C22—862no—
1485C22—862no—
1486C22—862no—
1487C22—862no—
1488C22—862no—
1489C22—862no—
1490C22—17216no—
1491C22—1721no—
1492C22—1721no—
1493C22—1721no—
1494C22—1721no—
1495C22#1458345314yescomplemented
1496C22C22×D4×D4311yescharacteristic
1497C22C22×Q8×D4311yescharacteristic
1498C22C2×#41×D4311yescharacteristic
1499C22C2×#41×D4311yescharacteristic
1500C22C22×#1062189811yescharacteristic
1501C22#1458373511yescharacteristic
1502C22#1458373511yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—434no—
1517C4—862no—
1518C4—862no—
1519C4—862no—
1520C4—862no—
1521C4—862no—
1522C4—1721no—
1523C4—1721no—
1524C4—1721no—
1525C4—1721no—
1526C4—1721no—
1527C4—1721no—
1528C4—1721no—
1529C4—1721no—
1530C4C22⋊Q8×D4314yes—
1531C2—24no—
1532C2—864no—
1533C2—1722no—
1534C2C2×C22⋊Q8×D4311yescharacteristic
1535C2C2×#1458345311yescharacteristic
1536C2#1914799811yescharacteristic
1537C2#1914807811yescharacteristic
1538C2D4×#1062189811yescharacteristic
1539C2#1914814711yescharacteristic
1540C2#1914815711yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC4×C22⋊Q8×C43C2
prime radicalC24×D43C23
hypercenterC4×C22⋊Q8D43
hypocenterC43#34739
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#14583453C2semidirect
3. #19138318C2semidirect
4. #19138316C2semidirect
5. #19138307C2semidirect
6. #19138305C2semidirect
7. #19138296C2semidirect
8. #19138294C2semidirect
9. #19138285C2semidirect
10. #19138283C2semidirect
11. #19138278C2semidirect
12. #19138276C2semidirect
13. #19138270C2semidirect
14. #19138268C2semidirect
19. #19137871C2semidirect
20. #19137871C2semidirect
21. #19137867C2semidirect
22. #19137865C2semidirect
23. C4×#13063304C2semidirect
24. C4×#13063302C2semidirect
25. C4×#13063302C2semidirect
26. #19137075C2semidirect
27. #19137075C2semidirect
28. #19136999C2semidirect
31. C4×C22⋊Q8×C43C2semidirect
34. C2×#13063324C22semidirect
35. C2×#13063323C22semidirect
36. C2×#13063315C22semidirect
37. C2×#13063315C22semidirect
45. C2×C4×Dic86C22semidirect
46. C2×C4×Dic86C22semidirect
47. C2×C4×Dic86C22semidirect
68. #14582840C22semidirect
69. #14582840C22semidirect
70. #14582839C22semidirect
71. #14582837C22semidirect
76. #14582833C22semidirect
77. #14582833C22semidirect
78. #14582832C22semidirect
79. #14582832C22semidirect
80. #14582830C22semidirect
81. #14582830C22semidirect
82. #14582829C22semidirect
83. #14582829C22semidirect
92. #14582820C22semidirect
93. #14582819C22semidirect
94. #14582819C22semidirect
95. #14582818C22semidirect
100. #14582805C22semidirect
101. #14582803C22semidirect
102. #14582803C22semidirect
103. #14582797C22semidirect
104. #14582796C22semidirect
105. #14582796C22semidirect
106. #14582796C22semidirect
107. #14582796C22semidirect
108. #14582796C22semidirect
109. #14582796C22semidirect
110. #14582794C22semidirect
111. #14582794C22semidirect
112. #14582794C22semidirect
113. #14582794C22semidirect
114. #14582786C22semidirect
115. #14582786C22semidirect
116. #14582783C22semidirect
117. #14582783C22semidirect
118. #14582782C22semidirect
119. #14582782C22semidirect
134. #14582768C22semidirect
135. #14582768C22semidirect
136. #14582763C22semidirect
137. #14582763C22semidirect
153. C4×Dic43⋊C4C22semidirect
154. C4×Dic43⋊C4C22semidirect
155. C4×Dic43⋊C4C22semidirect
156. C4×Dic43⋊C4C22semidirect
157. C4×Dic43⋊C4C22semidirect
158. C4×Dic43⋊C4C22semidirect
159. C4×C4⋊Dic43C22semidirect
160. C4×C4⋊Dic43C22semidirect
161. C4×C4⋊Dic43C22semidirect
175. C2×C4×Q8×C43C22semidirect
177. C43×#391C22semidirect
178. C43×#389C22semidirect
179. C43×#387C22semidirect
180. C43×#387C22semidirect
184. C4×C4⋊C4×C43C22semidirect
185. C4×C4⋊C4×C43C22semidirect
186. C4×C4⋊C4×C43C22semidirect
198. C22×C4×D43Q8semidirect
699. C4×D43C22⋊Q8semidirect
710. C22×C43#533semidirect
786. C4×C22⋊Q8D43semidirect
819. C2×C4×Q8C2×D43semidirect
876. #391C2×D43semidirect
888. #389C2×D43semidirect
895. #387C2×D43semidirect
896. #387C2×D43semidirect
942. C4×C4⋊C4C2×D43semidirect
943. C4×C4⋊C4C2×D43semidirect
944. C4×C4⋊C4C2×D43semidirect
959. C43#34739semidirect
1495. C22#14583453semidirect

Maximal subgroups

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

subgroupindex
C2×#145834532
C22×#130632822
#191383182
#191383162
#191383072
#191383052
#191382962
#191382942
#191382852
#191382832
#191382782
#191382762
#191382702
#191382682
#191382632
#191382602
#191382592
#191382582
#191378712
#191378672
#191378652
C4×#130633042
C4×#130633022
#191370752
#191369992
#191369762
C4×C22⋊C4×D432
C4×C22⋊Q8×C432
#3473943