Finite Group Databasebeta

← #25265402

Subgroups — #25265402

Order 11008.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583427C211yesmaximal, characteristic, complemented
2#19138850C211yesmaximal, characteristic, complemented
3#19138835C211yesmaximal, characteristic, complemented
4#19138820C211yesmaximal, characteristic, complemented
5#19138805C211yesmaximal, characteristic, complemented
6#19138790C211yesmaximal, characteristic, complemented
7#19138775C211yesmaximal, characteristic, complemented
8#19138760C211yesmaximal, characteristic, complemented
9#19138745C211yesmaximal, characteristic, complemented
10#19138730C211yesmaximal, characteristic, complemented
11#19138715C211yesmaximal, characteristic, complemented
12#19138700C211yesmaximal, characteristic, complemented
13#19138685C211yesmaximal, characteristic, complemented
14#19138404C211yesmaximal, characteristic, complemented
15#19138330C211yesmaximal, characteristic, complemented
16#19138131C211yesmaximal, characteristic
17#19138057C211yesmaximal, characteristic, complemented
18#19137863C211yesmaximal, characteristic, complemented
19#19137852C211yesmaximal, characteristic, complemented
20#19137852C211yesmaximal, characteristic, complemented
21#19137831C211yesmaximal, characteristic, complemented
22C4×#13063304C211yesmaximal, characteristic, complemented
23C4×#13063299C211yesmaximal, characteristic, complemented
24C4×#13063294C211yesmaximal, characteristic, complemented
25C4×#13063294C211yesmaximal, characteristic, complemented
26#19137093C211yesmaximal, characteristic, complemented
27#19137054C211yesmaximal, characteristic, complemented
28#19137038C211yesmaximal, characteristic, complemented
29#19137032C211yesmaximal, characteristic, complemented
30C42×C22⋊D43C211yesmaximal, characteristic, complemented
31C22×#117×C43C211yesmaximal, characteristic, complemented
32#14583427—28no—
33C2×#13063320C2211yescharacteristic, complemented
34C2×#13063318C2211yescharacteristic
35C2×#13063315C2211yescharacteristic, complemented
36C2×#13063311C2211yescharacteristic
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063307C2211yescharacteristic
39C2×#13063304C2211yescharacteristic
40C2×#13063303C2211yescharacteristic, complemented
41C2×#13063299C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063294C2211yescharacteristic
44C2×#13063294C2211yescharacteristic
45C2×C4×Dic86C2211yescharacteristic, complemented
46C2×C4×D172C2211yescharacteristic, complemented
47C2×C4×C22⋊D43C2211yescharacteristic
48C2×C4×C22⋊D43C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×C4×C22⋊D43C2211yescharacteristic
51C2×C4×C22⋊D43C2211yescharacteristic
52C2×C4×C22⋊D43C2211yescharacteristic
53C2×C4×C22⋊D43C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic
55C2×#13063282C2211yescharacteristic, complemented
56C2×C42×D43C2211yescharacteristic, complemented
57#14582838C2211yescharacteristic, complemented
58#14582837C2211yescharacteristic, complemented
59#14582837C2211yescharacteristic, complemented
60#14582835C2211yescharacteristic
61#14582834C2211yescharacteristic, complemented
62#14582834C2211yescharacteristic, complemented
63#14582832C2211yescharacteristic, complemented
64#14582832C2211yescharacteristic, complemented
65#14582830C2211yescharacteristic, complemented
66#14582830C2211yescharacteristic, complemented
67#14582829C2211yescharacteristic, complemented
68#14582827C2211yescharacteristic
69#14582827C2211yescharacteristic
70#14582827C2211yescharacteristic
71#14582827C2211yescharacteristic
72#14582825C2211yescharacteristic, complemented
73#14582825C2211yescharacteristic, complemented
74#14582824C2211yescharacteristic
75#14582822C2211yescharacteristic
76#14582822C2211yescharacteristic
77#14582821C2211yescharacteristic, complemented
78#14582821C2211yescharacteristic, complemented
79#14582819C2211yescharacteristic, complemented
80#14582816C2211yescharacteristic, complemented
81#14582815C2211yescharacteristic
82#14582815C2211yescharacteristic
83#14582814C2211yescharacteristic
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582814C2211yescharacteristic
87#14582811C2211yescharacteristic
88#14582808C2211yescharacteristic
89#14582805C2211yescharacteristic, complemented
90#14582801C2211yescharacteristic, complemented
91#14582799C2211yescharacteristic
92#14582799C2211yescharacteristic
93#14582797C2211yescharacteristic, complemented
94#14582797C2211yescharacteristic, complemented
95#14582794C2211yescharacteristic, complemented
96#14582794C2211yescharacteristic, complemented
97#14582793C2211yescharacteristic
98#14582793C2211yescharacteristic
99#14582792C2211yescharacteristic
100#14582792C2211yescharacteristic
101#14582792C2211yescharacteristic
102#14582792C2211yescharacteristic
103#14582790C2211yescharacteristic, complemented
104#14582790C2211yescharacteristic, complemented
105#14582790C2211yescharacteristic, complemented
106#14582790C2211yescharacteristic, complemented
107#14582789C2211yescharacteristic, complemented
108#14582789C2211yescharacteristic, complemented
109#14582787C2211yescharacteristic
110#14582787C2211yescharacteristic
111#14582785C2211yescharacteristic, complemented
112#14582785C2211yescharacteristic, complemented
113#14582785C2211yescharacteristic, complemented
114#14582785C2211yescharacteristic, complemented
115#14582783C2211yescharacteristic, complemented
116#14582783C2211yescharacteristic, complemented
117#14582783C2211yescharacteristic, complemented
118#14582783C2211yescharacteristic, complemented
119#14582780C2211yescharacteristic, complemented
120#14582780C2211yescharacteristic, complemented
121#14582778C2211yescharacteristic
122#14582778C2211yescharacteristic
123#14582778C2211yescharacteristic
124#14582778C2211yescharacteristic
125#14582778C2211yescharacteristic
126#14582778C2211yescharacteristic
127#14582778C2211yescharacteristic
128#14582778C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582778C2211yescharacteristic
131#14582775C2211yescharacteristic
132#14582775C2211yescharacteristic
133#14582772C2211yescharacteristic
134#14582772C2211yescharacteristic
135#14582772C2211yescharacteristic
136#14582772C2211yescharacteristic
137#14582772C2211yescharacteristic
138#14582772C2211yescharacteristic
139#14582772C2211yescharacteristic
140#14582772C2211yescharacteristic
141#14582772C2211yescharacteristic
142#14582772C2211yescharacteristic
143#14582770C2211yescharacteristic, complemented
144#14582770C2211yescharacteristic, complemented
145#14582759C2211yescharacteristic
146#14582759C2211yescharacteristic
147#14582755C2211yescharacteristic
148#14582755C2211yescharacteristic
149C4×Dic43⋊C4C2211yescharacteristic, complemented
150C4×Dic43⋊C4C2211yescharacteristic, complemented
151C4×Dic43⋊C4C2211yescharacteristic, complemented
152C4×Dic43⋊C4C2211yescharacteristic, complemented
153C4×Dic43⋊C4C2211yescharacteristic, complemented
154C4×Dic43⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic43C2211yescharacteristic, complemented
156C4×C4⋊Dic43C2211yescharacteristic, complemented
157C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic43C2211yescharacteristic
164C4×C22⋊Dic43C2211yescharacteristic
165C4×C22⋊Dic43C2211yescharacteristic
166C4×C22⋊Dic43C2211yescharacteristic
167C4×C22⋊Dic43C2211yescharacteristic
168C4×C22⋊Dic43C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic
170C4×C22⋊Dic43C2211yescharacteristic
171#14582745C2211yescharacteristic, complemented
172C42×Dic43C2211yescharacteristic, complemented
173C24×C4×C43C2211yescharacteristic
174C2×#117×C43—28no—
175C2×#117×C43C2211yescharacteristic
176C2×#117×C43C2211yescharacteristic
177C2×#117×C43C2211yescharacteristic
178C2×#117×C43C2211yescharacteristic
179C2×#117×C43C2211yescharacteristic
180C2×#117×C43C2211yescharacteristic
181C2×#117×C43C2211yescharacteristic
182C2×#117×C43C2211yescharacteristic
183C22×C4⋊C4×C43C2211yescharacteristic
184C22×C4⋊C4×C43C2211yescharacteristic
185C22×C22⋊C4×C43C2211yescharacteristic
186C22×C22⋊C4×C43C2211yescharacteristic
187C22×C42×C43C2211yescharacteristic
188C22×C42×C43C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201#13063320—24no—
202#13063318—24no—
203#13063315—24no—
204#13063311—24no—
205#13063310—24no—
206#13063307—24no—
207#13063304—24no—
208#13063303—24no—
209#13063299—24no—
210#13063298—24no—
211#13063294—24no—
212#13063294—24no—
213C4×Dic86—24no—
214C4×D172—24no—
215C4×C22⋊D43—24no—
216C4×C22⋊D43—24no—
217C4×C22⋊D43—24no—
218C4×C22⋊D43—24no—
219C4×C22⋊D43—24no—
220C4×C22⋊D43—24no—
221C4×C22⋊D43—24no—
222C4×C22⋊D43—24no—
223#13063282—24no—
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×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
296C42×D43—24no—
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
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
333C25×C43C2311yescharacteristic
334C23×C4×C43—24no—
335C23×C4×C43—24no—
336C23×C4×C43—24no—
337C23×C4×C43C2311yescharacteristic
338C23×C4×C43C2311yescharacteristic
339C23×C4×C43C2311yescharacteristic
340C23×C4×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342C23×C4×C43C2311yescharacteristic
343C23×C4×C43C2311yescharacteristic
344C23×C4×C43C2311yescharacteristic
345C23×C4×C43C2311yescharacteristic
346C23×C4×C43C2311yescharacteristic
347#117×C43—24no—
348#117×C43—24no—
349#117×C43—24no—
350#117×C43—24no—
351#117×C43—24no—
352#117×C43—24no—
353#117×C43—24no—
354#117×C43D418yescomplemented
355C2×C4⋊C4×C43—24no—
356C2×C4⋊C4×C43—24no—
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43—24no—
366C2×C22⋊C4×C43—24no—
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×C42×C43—24no—
376C2×C42×C43—24no—
377C2×C42×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379C2×C42×C43C2311yescharacteristic
380C2×C42×C43C2311yescharacteristic
381C2×C42×C43C2311yescharacteristic
382C2×C42×C43C2311yescharacteristic
383C2×C42×C43C2311yescharacteristic
384C2×C42×C43C2311yescharacteristic
385C24×C43—22no—
386C24×C43—22no—
387C24×C43—22no—
388C24×C43—22no—
389C24×C43—22no—
390C24×C43—41no—
391C24×C43—41no—
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C22×C4×C43—232no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—22no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43C2×D414yes—
426C22×C4×C43#4114yes—
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
439C22×C4×C43C2411yescharacteristic
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43#4114yes—
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C2×D172—22no—
473C2×D172—22no—
474C2×D172—41no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×Dic86—22no—
488C2×Dic86—22no—
489C2×Dic86—41no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43C2×D414yes—
497C4⋊C4×C43C2×D414yes—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43C2×D414yes—
505C22⋊C4×C43C2×D414yes—
506C42×C43—22no—
507C42×C43—22no—
508C42×C43—22no—
509C42×C43—22no—
510C42×C43—22no—
511C42×C43—22no—
512C42×C43C2×D414yes—
513C42×C43C2×D414yes—
514C22⋊Dic43—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—41no—
528C22⋊Dic43—41no—
529C22⋊Dic43—41no—
530C22⋊Dic43—41no—
531C22⋊Dic43#4114yes—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550C4⋊Dic43—22no—
551C4⋊Dic43—22no—
552C4⋊Dic43—22no—
553C4⋊Dic43—22no—
554C4⋊Dic43—41no—
555C4⋊Dic43—41no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—22no—
567Dic43⋊C4—22no—
568Dic43⋊C4—22no—
569Dic43⋊C4—22no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4—41no—
573Dic43⋊C4—41no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—22no—
577C4×Dic43—22no—
578C4×Dic43—22no—
579C4×Dic43—22no—
580C4×Dic43—22no—
581C4×Dic43—22no—
582C4×Dic43—22no—
583C4×Dic43—22no—
584C4×Dic43—41no—
585C4×Dic43—41no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—28no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
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—44no—
604C23×C43—44no—
605C23×C43—44no—
606C23×C43—44no—
607C23×C43—44no—
608C23×C43—44no—
609C23×C43C22×D412yes—
610C23×C43C2×#4112yes—
611C23×C43C2×#4112yes—
612C23×C43C2×#4112yes—
613C23×C43C2×#4112yes—
614C23×C43C2511yescharacteristic
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43C2×#4112yes—
629C2×C4×C43—28no—
630C2×C4×C43—28no—
631C2×C4×C43—28no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—28no—
647C2×C4×C43—28no—
648C2×C4×C43—28no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—44no—
662C2×C4×C43—44no—
663C2×C4×C43—44no—
664C2×C4×C43—44no—
665C2×C4×C43C22×D412yes—
666C2×C4×C43C22×D412yes—
667C2×C4×C43C22×D412yes—
668C2×C4×C43C22×D412yes—
669C2×C4×C43C22×D412yes—
670C2×C4×C43C22×D412yes—
671C2×C4×C43C2×#4112yes—
672C2×C4×C43C2×#4112yes—
673C2×C4×C43C2×#4112yes—
674C2×C4×C43C2×#4112yes—
675C22⋊D43—28no—
676C22⋊D43—44no—
677C22⋊D43—44no—
678C22⋊D43—44no—
679C22⋊D43—44no—
680C22⋊D43—44no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
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×Dic43C2×#4112yes—
721C2×Dic43C2×#4112yes—
722C2×Dic43C2×#4112yes—
723D172—44no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728Dic86—44no—
729#34740—431nomaximal, Sylow
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—22no—
739C22×C43—22no—
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—416no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43#52914yescomplemented
752C22×C43C23×D411yescharacteristic
753C22×C43C22×#4111yescharacteristic
754C22×C43C22×#4111yescharacteristic
755C22×C43C22×#4111yescharacteristic
756C22×C43C22×#4111yescharacteristic
757C22×C43#58511yescharacteristic
758C22×C43#58511yescharacteristic
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—22no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43#52514yes—
785Dic43—22no—
786Dic43—22no—
787Dic43—22no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799C2×#529—431no—
800C22×#117D4311yescharacteristic, complemented
801#2481—431no—
802#2480—431no—
803#2479—431no—
804#2478—431no—
805#2477—431no—
806#2476—431no—
807#2475—431no—
808#2474—431no—
809#2473—431no—
810#2472—431no—
811#2471—431no—
812#2470—431no—
813#2449—431no—
814#2443—431no—
815#2424—431no—
816#2418—431no—
817#2396—431no—
818#2395—431no—
819#2395—431no—
820#2392—431no—
821C4×C22⋊Q8—431no—
822C4×#121—431no—
823C4×#120—431no—
824C4×#120—431no—
825#2298—431no—
826#2293—431no—
827#2290—431no—
828#2290—431no—
829C42×D4—431no—
830C2×C43—24no—
831C2×C43—42no—
832C2×C43—42no—
833C2×C43C2×#52511yescharacteristic
834C2×C43C2×#52911yescharacteristic
835C2×C43#345511yescharacteristic
836C2×C43D4×#4111yescharacteristic
837C2×C43D4×#4111yescharacteristic
838C2×C43#347511yescharacteristic
839C2×C43#347511yescharacteristic
840D43—42no—
841D43—81no—
842C24×C4C2×D4311yescharacteristic
843#529—868no—
844C2×#126—431no—
845C2×#126—431no—
846C2×#125—431no—
847C2×#124—431no—
848C2×#123—431no—
849C2×#123—431no—
850C2×C22⋊Q8—431no—
851C2×C22⋊Q8—431no—
852C2×#121—431no—
853C2×#121—431no—
854C2×#120—431no—
855C2×#120—431no—
856C2×C4×Q8—431no—
857C2×C4×D4—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C2×C4×D4—431no—
862C2×C4×D4—431no—
863C2×C4×D4—431no—
864C2×C4×D4—431no—
865C2×C4×D4—431no—
866C2×#117—28no—
867C2×#117—431no—
868C2×#117C2×D4311yescharacteristic
869C2×#117C2×D4311yescharacteristic
870C2×#117C2×D4311yescharacteristic
871C2×#117C2×D4311yescharacteristic
872C2×#117C2×D4311yescharacteristic
873C2×#117C2×D4311yescharacteristic
874C2×#117C2×D4311yescharacteristic
875C2×#117C2×D4311yescharacteristic
876C22×C4⋊C4C2×D4311yescharacteristic
877C22×C4⋊C4C2×D4311yescharacteristic
878C22×C22⋊C4C2×D4311yescharacteristic
879C22×C22⋊C4C2×D4311yescharacteristic
880C22×C42—431no—
881C22×C42C2×D4311yescharacteristic
882C22×C42C2×D4311yescharacteristic
883#400—431no—
884#400—431no—
885#400—431no—
886#399—431no—
887#399—431no—
888#399—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#398—431no—
894#397—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397—431no—
900#397—431no—
901#396—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#395—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#394—431no—
913#393—431no—
914#392—431no—
915#391—431no—
916#390—431no—
917#390—431no—
918#390—431no—
919#389—431no—
920#389—431no—
921#389—431no—
922#389—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#387—431no—
938#387—431no—
939#387—431no—
940#387—431no—
941#387—431no—
942#387—431no—
943#387—431no—
944#387—431no—
945#387—431no—
946#387—431no—
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#385—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385—431no—
967#385—431no—
968#385—431no—
969#385—431no—
970#385—431no—
971#380—431no—
972#380—431no—
973#379—431no—
974#379—431no—
975C4×C4⋊C4—431no—
976C4×C4⋊C4—431no—
977C4×C4⋊C4—431no—
978C4×C4⋊C4—431no—
979C4×C4⋊C4—431no—
980C4×C4⋊C4—431no—
981C4×C4⋊C4—431no—
982C4×C4⋊C4—431no—
983C4×C22⋊C4—431no—
984C4×C22⋊C4—431no—
985C4×C22⋊C4—431no—
986C4×C22⋊C4—431no—
987C4×C22⋊C4—431no—
988C4×C22⋊C4—431no—
989C4×C22⋊C4—431no—
990C4×C22⋊C4—431no—
991C4×C22⋊C4—431no—
992C4×C22⋊C4—431no—
993C4×C22⋊C4—431no—
994C4×C22⋊C4—431no—
995C4×C22⋊C4—431no—
996C4×C22⋊C4—431no—
997#376—431no—
998C43—431no—
999C43#3474011yescharacteristic, complemented, Sylow
1000C25C22×D4311yescharacteristic
1001C22×Q8—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4—431no—
1009C23×C4—24no—
1010C23×C4—24no—
1011C23×C4—24no—
1012C23×C4—431no—
1013C23×C4—431no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4C22×D4311yescharacteristic
1017C23×C4C22×D4311yescharacteristic
1018C23×C4C22×D4311yescharacteristic
1019C23×C4C22×D4311yescharacteristic
1020C23×C4C22×D4311yescharacteristic
1021C23×C4C22×D4311yescharacteristic
1022C23×C4C22×D4311yescharacteristic
1023C23×C4C22×D4311yescharacteristic
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026#126—864no—
1027#126—864no—
1028#125—864no—
1029#124—864no—
1030#123—864no—
1031#123—864no—
1032C22⋊Q8—864no—
1033C22⋊Q8—864no—
1034#121—864no—
1035#121—864no—
1036#120—864no—
1037#120—864no—
1038C4×Q8—864no—
1039C4×D4—864no—
1040C4×D4—864no—
1041C4×D4—864no—
1042C4×D4—864no—
1043C4×D4—864no—
1044C4×D4—864no—
1045C4×D4—864no—
1046C4×D4—864no—
1047C4×D4—864no—
1048#117—24no—
1049#117—24no—
1050#117—24no—
1051#117—24no—
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117—864no—
1056#117C22⋊D4318yescomplemented
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4C22×D4311yescharacteristic
1084C2×C4⋊C4C22×D4311yescharacteristic
1085C2×C4⋊C4C22×D4311yescharacteristic
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C4⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4C22×D4311yescharacteristic
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42—431no—
1145C2×C42—431no—
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—864no—
1152C2×C42C22×D4311yescharacteristic
1153C2×C42C22×D4311yescharacteristic
1154C2×C42C22×D4311yescharacteristic
1155C2×C42C22×D4311yescharacteristic
1156C2×C42C22×D4311yescharacteristic
1157C2×C42C22×D4311yescharacteristic
1158C2×C42C22×D4311yescharacteristic
1159C2×C42C22×D4311yescharacteristic
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
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—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24—431no—
1204C24—431no—
1205C24C23×D4311yescharacteristic
1206C24C23×D4311yescharacteristic
1207C24C23×D4311yescharacteristic
1208C2×Q8—862no—
1209C2×Q8—862no—
1210C2×Q8—1721no—
1211C2×D4—434no—
1212C2×D4—862no—
1213C2×D4—862no—
1214C2×D4—862no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—862no—
1220C2×D4—862no—
1221C2×D4—862no—
1222C2×D4—862no—
1223C2×D4—862no—
1224C2×D4—862no—
1225C2×D4—862no—
1226C2×D4—862no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C22×C4—232no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—431no—
1270C22×C4—431no—
1271C22×C4—431no—
1272C22×C4—431no—
1273C22×C4—431no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—862no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4#1062189814yes—
1287C22×C4#1062189814yes—
1288C22×C4C2×C22⋊D4314yes—
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—862no—
1308C4⋊C4—862no—
1309C4⋊C4—862no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4C2×C22⋊D4314yes—
1332C4⋊C4C2×C22⋊D4314yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—434no—
1340C22⋊C4—862no—
1341C22⋊C4—862no—
1342C22⋊C4—862no—
1343C22⋊C4—862no—
1344C22⋊C4—862no—
1345C22⋊C4—862no—
1346C22⋊C4—862no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4C2×C22⋊D4314yes—
1376C22⋊C4C2×C22⋊D4314yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—862no—
1384C42—862no—
1385C42—862no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C42—862no—
1391C42—862no—
1392C42—862no—
1393C42—1721no—
1394C42—1721no—
1395C42C2×C22⋊D4314yes—
1396C42C2×C22⋊D4314yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—432no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23C22×C22⋊D4312yes—
1435C23#41×D4312yes—
1436C23#41×D4312yes—
1437C23C2×#1062189812yes—
1438C23C2×#1062189812yes—
1439C23C24×D4311yescharacteristic
1440Q8—1724no—
1441D4—868no—
1442D4—1724no—
1443D4—1724no—
1444D4—1724no—
1445D4—1724no—
1446D4—1724no—
1447D4—1724no—
1448C2×C4—28no—
1449C2×C4—28no—
1450C2×C4—28no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—28no—
1466C2×C4—28no—
1467C2×C4—28no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—432no—
1485C2×C4—432no—
1486C2×C4—432no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—1724no—
1527C2×C4—1724no—
1528C2×C4—1724no—
1529C2×C4—1724no—
1530C2×C4C22×C22⋊D4312yes—
1531C2×C4C22×C22⋊D4312yes—
1532C2×C4C22×C22⋊D4312yes—
1533C2×C4C22×C22⋊D4312yes—
1534C2×C4C22×C22⋊D4312yes—
1535C2×C4C22×C22⋊D4312yes—
1536C2×C4C2×#1062189812yes—
1537C2×C4C2×#1062189812yes—
1538C2×C4C2×#1062189812yes—
1539C2×C4C2×#1062189812yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—416no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—862no—
1562C22—862no—
1563C22—862no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22#1458342714yescomplemented
1576C22C23×C22⋊D4311yescharacteristic
1577C22C2×#41×D4311yescharacteristic
1578C22C2×#41×D4311yescharacteristic
1579C22C22×#1062189811yescharacteristic
1580C22C22×#1062189811yescharacteristic
1581C22#1458373511yescharacteristic
1582C22#1458373511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—862no—
1595C4—862no—
1596C4—862no—
1597C4—1721no—
1598C4—1721no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4#1458341014yes—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—3441no—
1613C2—1722no—
1614C2C2×#1458341011yescharacteristic
1615C2C2×#1458342711yescharacteristic
1616C2#1914798511yescharacteristic
1617C2#41×C22⋊D4311yescharacteristic
1618C2#41×C22⋊D4311yescharacteristic
1619C2#1914814911yescharacteristic
1620C2#1914814911yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC22×#117×C43C2
prime radical#19138131C2
hypercenterC22×#117D43
hypocenterC43#34740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
1. C2×#14583427C2semidirect
2. #19138850C2semidirect
3. #19138835C2semidirect
4. #19138820C2semidirect
5. #19138805C2semidirect
6. #19138790C2semidirect
7. #19138775C2semidirect
8. #19138760C2semidirect
9. #19138745C2semidirect
10. #19138730C2semidirect
11. #19138715C2semidirect
12. #19138700C2semidirect
13. #19138685C2semidirect
14. #19138404C2semidirect
15. #19138330C2semidirect
17. #19138057C2semidirect
18. #19137863C2semidirect
19. #19137852C2semidirect
20. #19137852C2semidirect
21. #19137831C2semidirect
22. C4×#13063304C2semidirect
23. C4×#13063299C2semidirect
24. C4×#13063294C2semidirect
25. C4×#13063294C2semidirect
26. #19137093C2semidirect
27. #19137054C2semidirect
28. #19137038C2semidirect
29. #19137032C2semidirect
30. C42×C22⋊D43C2semidirect
31. C22×#117×C43C2semidirect
33. C2×#13063320C22semidirect
35. C2×#13063315C22semidirect
37. C2×#13063310C22semidirect
40. C2×#13063303C22semidirect
45. C2×C4×Dic86C22semidirect
46. C2×C4×D172C22semidirect
55. C2×#13063282C22semidirect
56. C2×C42×D43C22semidirect
57. #14582838C22semidirect
58. #14582837C22semidirect
59. #14582837C22semidirect
61. #14582834C22semidirect
62. #14582834C22semidirect
63. #14582832C22semidirect
64. #14582832C22semidirect
65. #14582830C22semidirect
66. #14582830C22semidirect
67. #14582829C22semidirect
72. #14582825C22semidirect
73. #14582825C22semidirect
77. #14582821C22semidirect
78. #14582821C22semidirect
79. #14582819C22semidirect
80. #14582816C22semidirect
89. #14582805C22semidirect
90. #14582801C22semidirect
93. #14582797C22semidirect
94. #14582797C22semidirect
95. #14582794C22semidirect
96. #14582794C22semidirect
103. #14582790C22semidirect
104. #14582790C22semidirect
105. #14582790C22semidirect
106. #14582790C22semidirect
107. #14582789C22semidirect
108. #14582789C22semidirect
111. #14582785C22semidirect
112. #14582785C22semidirect
113. #14582785C22semidirect
114. #14582785C22semidirect
115. #14582783C22semidirect
116. #14582783C22semidirect
117. #14582783C22semidirect
118. #14582783C22semidirect
119. #14582780C22semidirect
120. #14582780C22semidirect
143. #14582770C22semidirect
144. #14582770C22semidirect
149. C4×Dic43⋊C4C22semidirect
150. C4×Dic43⋊C4C22semidirect
151. C4×Dic43⋊C4C22semidirect
152. C4×Dic43⋊C4C22semidirect
153. C4×Dic43⋊C4C22semidirect
154. C4×Dic43⋊C4C22semidirect
155. C4×C4⋊Dic43C22semidirect
156. C4×C4⋊Dic43C22semidirect
157. C4×(C2×D43)⋊C4C22semidirect
158. C4×(C2×D43)⋊C4C22semidirect
159. C4×(C2×D43)⋊C4C22semidirect
160. C4×(C2×D43)⋊C4C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
162. C4×(C2×D43)⋊C4C22semidirect
171. #14582745C22semidirect
172. C42×Dic43C22semidirect
354. #117×C43D4semidirect
751. C22×C43#529semidirect
800. C22×#117D43semidirect
999. C43#34740semidirect
1056. #117C22⋊D43semidirect
1575. C22#14583427semidirect

Maximal subgroups

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

subgroupindex
C2×#145834272
#191388502
#191388352
#191388202
#191388052
#191387902
#191387752
#191387602
#191387452
#191387302
#191387152
#191387002
#191386852
#191384042
#191383302
#191381312
#191380572
#191378632
#191378522
#191378312
C4×#130633042
C4×#130632992
C4×#130632942
#191370932
#191370542
#191370382
#191370322
C42×C22⋊D432
C22×#117×C432
#3474043