Finite Group Databasebeta

← #25263677

Subgroups — #25263677

Order 11008.

2474 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583426C211yesmaximal, characteristic, complemented
2C2×C4×#10621900C211yesmaximal, characteristic, complemented
3#19140509C211yesmaximal, characteristic, complemented
4#19140507C211yesmaximal, characteristic, complemented
5#19140498C211yesmaximal, characteristic, complemented
6#19140496C211yesmaximal, characteristic, complemented
7#19140436C211yesmaximal, characteristic, complemented
8#19140434C211yesmaximal, characteristic, complemented
9#19140432C211yesmaximal, characteristic, complemented
10#19140427C211yesmaximal, characteristic, complemented
11#19140424C211yesmaximal, characteristic, complemented
12#19140391C211yesmaximal, characteristic, complemented
13#19140383C211yesmaximal, characteristic, complemented
14#19140354C211yesmaximal, characteristic, complemented
15#19140351C211yesmaximal, characteristic, complemented
16#19140323C211yesmaximal, characteristic, complemented
17#19140318C211yesmaximal, characteristic
18#19137872C211yesmaximal, characteristic, complemented
19#19137870C211yesmaximal, characteristic, complemented
20#19137840C211yesmaximal, characteristic, complemented
21#19137838C211yesmaximal, characteristic, complemented
22#19137838C211yesmaximal, characteristic, complemented
23#19137838C211yesmaximal, characteristic, complemented
24#19137832C211yesmaximal, characteristic, complemented
25#19137830C211yesmaximal, characteristic, complemented
26#19137129C211yesmaximal, characteristic, complemented
27#19137127C211yesmaximal, characteristic, complemented
28#19137107C211yesmaximal, characteristic, complemented
29#19137105C211yesmaximal, characteristic, complemented
30#19136997C211yesmaximal, characteristic, complemented
31C43×#2630C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33#14583426—28no—
34C2×#13063320C2211yescharacteristic
35C2×#13063318C2211yescharacteristic
36C2×#13063315C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063308C2211yescharacteristic
39C2×#13063303C2211yescharacteristic
40C2×#13063302C2211yescharacteristic
41C2×#13063302C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063297C2211yescharacteristic
44C2×#13063297C2211yescharacteristic
45C4×#10621900—28no—
46C2×C4×Dic86C2211yescharacteristic
47C2×#13063290C2211yescharacteristic
48C2×#13063290C2211yescharacteristic
49C2×D4×Dic43C2211yescharacteristic
50C2×D4×Dic43C2211yescharacteristic
51C2×D4×Dic43C2211yescharacteristic
52C2×#13063287C2211yescharacteristic
53C2×C4×C22⋊D43C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic
55C2×(C22⋊D43)⋊C4C2211yescharacteristic
56C2×(C22⋊D43)⋊C4C2211yescharacteristic
57C2×(C22⋊D43)⋊C4C2211yescharacteristic
58C2×(C22⋊D43)⋊C4C2211yescharacteristic
59C2×(C22⋊D43)⋊C4C2211yescharacteristic
60C2×(C22⋊D43)⋊C4C2211yescharacteristic
61C2×#13063283C2211yescharacteristic
62C2×#13063283C2211yescharacteristic
63C2×#13063281C2211yescharacteristic
64C2×#13063281C2211yescharacteristic
65C2×#13063281C2211yescharacteristic
66C2×#13063281C2211yescharacteristic
67C2×#13063281C2211yescharacteristic
68C22×C4×Dic43C2211yescharacteristic
69C22×C4×Dic43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic
72#14582840C2211yescharacteristic
73#14582835C2211yescharacteristic
74#14582834C2211yescharacteristic
75#14582833C2211yescharacteristic
76#14582833C2211yescharacteristic
77#14582833C2211yescharacteristic
78#14582832C2211yescharacteristic
79#14582832C2211yescharacteristic
80#14582832C2211yescharacteristic
81#14582831C2211yescharacteristic
82#14582830C2211yescharacteristic
83#14582829C2211yescharacteristic
84#14582828C2211yescharacteristic
85#14582827C2211yescharacteristic
86#14582827C2211yescharacteristic
87#14582827C2211yescharacteristic
88#14582824C2211yescharacteristic
89#14582823C2211yescharacteristic
90#14582823C2211yescharacteristic
91#14582822C2211yescharacteristic
92#14582822C2211yescharacteristic
93#14582822C2211yescharacteristic
94#14582822C2211yescharacteristic
95#14582822C2211yescharacteristic
96#14582822C2211yescharacteristic
97#14582821C2211yescharacteristic
98#14582821C2211yescharacteristic
99#14582821C2211yescharacteristic
100#14582821C2211yescharacteristic
101#14582821C2211yescharacteristic
102#14582821C2211yescharacteristic
103#14582820C2211yescharacteristic
104#14582819C2211yescharacteristic
105#14582817C2211yescharacteristic
106#14582816C2211yescharacteristic
107#14582815C2211yescharacteristic
108#14582815C2211yescharacteristic
109#14582815C2211yescharacteristic
110#14582815C2211yescharacteristic
111#14582815C2211yescharacteristic
112#14582814C2211yescharacteristic
113#14582814C2211yescharacteristic
114#14582814C2211yescharacteristic
115#14582814C2211yescharacteristic
116#14582814C2211yescharacteristic
117#14582813C2211yescharacteristic
118#14582813C2211yescharacteristic
119#14582813C2211yescharacteristic
120#14582812C2211yescharacteristic
121#14582811C2211yescharacteristic
122#14582808C2211yescharacteristic
123#14582808C2211yescharacteristic
124#14582807C2211yescharacteristic
125#14582807C2211yescharacteristic
126#14582807C2211yescharacteristic
127#14582803C2211yescharacteristic
128#14582803C2211yescharacteristic
129#14582799C2211yescharacteristic
130#14582799C2211yescharacteristic
131#14582796C2211yescharacteristic
132#14582796C2211yescharacteristic
133#14582794C2211yescharacteristic
134#14582794C2211yescharacteristic
135#14582791C2211yescharacteristic
136#14582790C2211yescharacteristic
137#14582787C2211yescharacteristic
138#14582784C2211yescharacteristic
139#14582783C2211yescharacteristic
140#14582780C2211yescharacteristic
141#14582778C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582772C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582768C2211yescharacteristic
148#14582768C2211yescharacteristic
149#14582763C2211yescharacteristic
150#14582763C2211yescharacteristic
151#14582759C2211yescharacteristic
152#14582758C2211yescharacteristic
153#14582758C2211yescharacteristic
154#14582757C2211yescharacteristic
155#14582757C2211yescharacteristic
156#14582757C2211yescharacteristic
157#14582757C2211yescharacteristic
158C4⋊C4×Dic43C2211yescharacteristic
159C4⋊C4×Dic43C2211yescharacteristic
160C4⋊C4×Dic43C2211yescharacteristic
161C4⋊C4×Dic43C2211yescharacteristic
162#14582750C2211yescharacteristic
163#14582750C2211yescharacteristic
164#14582750C2211yescharacteristic
165#14582750C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170#14582746C2211yescharacteristic
171#14582746C2211yescharacteristic
172#14582746C2211yescharacteristic
173#14582746C2211yescharacteristic
174C2×#123×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#397C2211yescharacteristic
178C43×#396C2211yescharacteristic
179C43×#396C2211yescharacteristic
180C43×#394C2211yescharacteristic
181C43×#394C2211yescharacteristic
182C43×#394C2211yescharacteristic
183C43×#392C2211yescharacteristic
184C43×#388C2211yescharacteristic
185C43×#387C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#385C2211yescharacteristic
188C43×#380C2211yescharacteristic
189C2×#10621900—24no—
190C2×#10621900—24no—
191C2×#10621900—24no—
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063320—24no—
211#13063318—24no—
212#13063315—24no—
213#13063311—24no—
214#13063308—24no—
215#13063303—24no—
216#13063302—24no—
217#13063302—24no—
218#13063298—24no—
219#13063297—24no—
220#13063297—24no—
221C4×Dic86—24no—
222#13063290—24no—
223#13063290—24no—
224D4×Dic43—24no—
225D4×Dic43—24no—
226D4×Dic43—42no—
227#13063287—42no—
228C4×C22⋊D43—24no—
229C4×C22⋊D43—24no—
230(C22⋊D43)⋊C4—24no—
231(C22⋊D43)⋊C4—24no—
232(C22⋊D43)⋊C4—24no—
233(C22⋊D43)⋊C4—24no—
234(C22⋊D43)⋊C4—42no—
235(C22⋊D43)⋊C4—42no—
236#13063283—24no—
237#13063283—24no—
238#13063281—24no—
239#13063281—24no—
240#13063281—24no—
241#13063281—42no—
242#13063281—42no—
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×C4×Dic43—24no—
307C2×C4×Dic43D418yescomplemented
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C42×D43—24no—
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353#123×C43—24no—
354C4×D4×C43—24no—
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C24×C43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C23×D43C2411yescharacteristic
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C22×C4×C43—22no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43C2×D414yes—
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
417C2×C22⋊D43—22no—
418C2×C22⋊D43—22no—
419C2×C22⋊D43—22no—
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C22×Dic43—22no—
436C22×Dic43—22no—
437C22×Dic43—22no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—22no—
447C22×Dic43C2×D414yes—
448C22×Dic43C2×D414yes—
449C22×Dic43#4114yes—
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464#10621900—232no—
465C2×D172—22no—
466C2×D172—41no—
467C2×D172—41no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43#4114yes—
480C2×Dic86—22no—
481C2×Dic86—22no—
482C2×Dic86—22no—
483C2×Dic86—22no—
484C2×Dic86—22no—
485C2×Dic86—22no—
486C4⋊C4×C43—22no—
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—22no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C42×C43—22no—
508C22⋊Dic43—22no—
509C22⋊Dic43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—41no—
516C22⋊Dic43—41no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539C4⋊Dic43—22no—
540C4⋊Dic43—22no—
541C4⋊Dic43—22no—
542C4⋊Dic43—22no—
543C4⋊Dic43—41no—
544C4⋊Dic43—41no—
545C4⋊Dic43—41no—
546C4⋊Dic43—41no—
547Dic43⋊C4—22no—
548Dic43⋊C4—22no—
549Dic43⋊C4—22no—
550Dic43⋊C4—22no—
551Dic43⋊C4—22no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—22no—
555Dic43⋊C4—22no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—41no—
564Dic43⋊C4—41no—
565Dic43⋊C4—41no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571C4×Dic43—22no—
572C4×Dic43—22no—
573C4×Dic43—22no—
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×Dic43C2×D414yes—
583C4×Dic43C2×D414yes—
584C4×Dic43C2×D414yes—
585C4×Dic43C2×D414yes—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
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—21no—
604C23×C43—21no—
605C23×C43C22×D412yes—
606C23×C43C2×#4112yes—
607C23×C43C2511yescharacteristic
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43C2×#4112yes—
622D4×C43—28no—
623D4×C43—44no—
624D4×C43—44no—
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—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—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—44no—
659C2×C4×C43—44no—
660C2×C4×C43C22×D412yes—
661C2×C4×C43C22×D412yes—
662C2×C4×C43C2×#4112yes—
663C22⋊D43—28no—
664C22⋊D43—28no—
665C22⋊D43—44no—
666C22⋊D43—44no—
667C22⋊D43—44no—
668C22⋊D43—44no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—28no—
676C2×Dic43—28no—
677C2×Dic43—28no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
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—44no—
706C2×Dic43—44no—
707C2×Dic43C22×D412yes—
708C2×Dic43C22×D412yes—
709C2×Dic43C22×D412yes—
710C2×Dic43C22×D412yes—
711C2×Dic43C2×#4112yes—
712C2×Dic43C2×#4112yes—
713C2×Dic43C2×#4112yes—
714C2×Dic43H(5,𝔽2)12yes—
715C2×Dic432−1+412yes—
716D172—44no—
717C4×D43—28no—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—44no—
721Dic86—28no—
722Dic86—44no—
723#34614—431nomaximal, Sylow
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43C23×D411yescharacteristic
746C22×C43C22×#4111yescharacteristic
747C22×C43C22×#4111yescharacteristic
748C22×C43C2×H(5,𝔽2)11yescharacteristic
749C22×C43C2×2−1+411yescharacteristic
750C22×C43#58511yescharacteristic
751C22×C43#58511yescharacteristic
752C2×D43—22no—
753C2×D43—22no—
754C2×D43—22no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C4×C43—22no—
767C4×C43—22no—
768C4×C43—22no—
769C4×C43—41no—
770C4×C43—41no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778Dic43—22no—
779Dic43—22no—
780Dic43—22no—
781Dic43—41no—
782Dic43—41no—
783Dic43—41no—
784Dic43—41no—
785Dic43—41no—
786Dic43—41no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43#52514yes—
791Dic43#53714yes—
792C2×#529—431no—
793C2×C4×#41—431no—
794#2637—431no—
795#2637—431no—
796#2636—431no—
797#2636—431no—
798#2630—431no—
799#2630—431no—
800#2630—431no—
801#2630D4311yescharacteristic, complemented
802#2629—431no—
803#2629—431no—
804#2625—431no—
805#2624—431no—
806#2620—431no—
807#2620—431no—
808#2616—431no—
809#2615—431no—
810#2396—431no—
811#2396—431no—
812#2392—431no—
813#2392—431no—
814#2392—431no—
815#2392—431no—
816#2392—431no—
817#2392—431no—
818C4×C22⋊Q8—431no—
819C4×C22⋊Q8—431no—
820C4×#121—431no—
821C4×#121—431no—
822#2285—431no—
823C2×C43—42no—
824C2×C43—42no—
825C2×C43—81no—
826C2×C43C2×#52511yescharacteristic
827C2×C43C2×#53711yescharacteristic
828C2×C43#344911yescharacteristic
829C2×C43#346011yescharacteristic
830C2×C43#346011yescharacteristic
831C2×C43#346111yescharacteristic
832C2×C43#346111yescharacteristic
833D43—42no—
834D43—81no—
835C22×#41—431no—
836#529—868no—
837C2×#126—431no—
838C2×#126—431no—
839C2×#125—431no—
840C2×#124—431no—
841C2×#123—431no—
842C2×#123C2×D4311yescharacteristic
843C2×C22⋊Q8—431no—
844C2×C22⋊Q8—431no—
845C2×C22⋊Q8—431no—
846C2×#121—431no—
847C2×#121—431no—
848C2×#121—431no—
849C4×#41—868no—
850C2×C4×Q8—431no—
851C2×C4×Q8—431no—
852C2×C4×Q8—431no—
853C2×C4×D4—431no—
854C2×C4×D4—431no—
855C2×C4×D4—431no—
856C2×C4×D4—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×D4C2×D4311yescharacteristic
866C2×#117—431no—
867C2×#117—431no—
868C2×#117—431no—
869C2×#117—431no—
870C2×#117—431no—
871C2×#117—431no—
872C2×#117—431no—
873C22×C42—431no—
874C22×C42—431no—
875C22×C42—431no—
876#400—431no—
877#400—431no—
878#399—431no—
879#399—431no—
880#398—431no—
881#398—431no—
882#398—431no—
883#398—431no—
884#398—431no—
885#398—431no—
886#398—431no—
887#398—431no—
888#398—431no—
889#398C2×D4311yescharacteristic
890#397—431no—
891#397—431no—
892#397—431no—
893#397—431no—
894#397—431no—
895#397C2×D4311yescharacteristic
896#396—431no—
897#396—431no—
898#396—431no—
899#396—431no—
900#396—431no—
901#396—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#396—431no—
906#396—431no—
907#396—431no—
908#396—431no—
909#396—431no—
910#396C2×D4311yescharacteristic
911#396C2×D4311yescharacteristic
912#395—431no—
913#395—431no—
914#394—431no—
915#394—431no—
916#394—431no—
917#394—431no—
918#394—431no—
919#394—431no—
920#394—431no—
921#394—431no—
922#394—431no—
923#394—431no—
924#394—431no—
925#394—431no—
926#394—431no—
927#394—431no—
928#394—431no—
929#394C2×D4311yescharacteristic
930#394C2×D4311yescharacteristic
931#394C2×D4311yescharacteristic
932#393—431no—
933#393—431no—
934#392—431no—
935#392—431no—
936#392—431no—
937#392—431no—
938#392—431no—
939#392C2×D4311yescharacteristic
940#391—431no—
941#391—431no—
942#390—431no—
943#390—431no—
944#389—431no—
945#389—431no—
946#389—431no—
947#389—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388C2×D4311yescharacteristic
952#387—431no—
953#387—431no—
954#387—431no—
955#387C2×D4311yescharacteristic
956#386—431no—
957#386—431no—
958#386—431no—
959#386C2×D4311yescharacteristic
960#385—431no—
961#385—431no—
962#385—431no—
963#385C2×D4311yescharacteristic
964#384—431no—
965#384—431no—
966#382—431no—
967#382—431no—
968#380—431no—
969#380—431no—
970#380—431no—
971#380—431no—
972#380—431no—
973#380—431no—
974#380—431no—
975#380C2×D4311yescharacteristic
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×C4⋊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—
992C43#3461411yescharacteristic, complemented, Sylow
993C2×#41—864no—
994C2×#41—864no—
995C2×#41—864no—
996C22×Q8—431no—
997C22×Q8—431no—
998C22×D4—431no—
999C22×D4—431no—
1000C22×D4—431no—
1001C22×D4—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4C22×D4311yescharacteristic
1006C22×D4C22×D4311yescharacteristic
1007C22×D4C22×D4311yescharacteristic
1008C23×C4—431no—
1009C23×C4—431no—
1010C23×C4—431no—
1011C23×C4—431no—
1012C23×C4—431no—
1013C23×C4—431no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4—431no—
1017C23×C4C22×D4311yescharacteristic
1018C23×C4C22×D4311yescharacteristic
1019#126—864no—
1020#126—864no—
1021#125—864no—
1022#124—864no—
1023#123—24no—
1024#123—864no—
1025C22⋊Q8—864no—
1026C22⋊Q8—864no—
1027C22⋊Q8—864no—
1028#121—864no—
1029#121—864no—
1030#121—864no—
1031C4×Q8—864no—
1032C4×Q8—864no—
1033C4×Q8—864no—
1034C4×D4—24no—
1035C4×D4—864no—
1036C4×D4—864no—
1037C4×D4—864no—
1038C4×D4—864no—
1039C4×D4—864no—
1040C4×D4—864no—
1041C4×D4—864no—
1042C4×D4—864no—
1043C4×D4—1722no—
1044C4×D4—1722no—
1045C4×D4—1722no—
1046C4×D4—1722no—
1047#117—864no—
1048#117—864no—
1049#117—864no—
1050#117—864no—
1051#117—864no—
1052#117—1722no—
1053#117—1722no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
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⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C4⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C4⋊C4C22×D4311yescharacteristic
1092C2×C4⋊C4C22×D4311yescharacteristic
1093C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4C22×D4311yescharacteristic
1126C2×C22⋊C4C22×D4311yescharacteristic
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
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×C22⋊C4C22×D4311yescharacteristic
1138C2×C42—438no—
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—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—864no—
1155C2×C42—864no—
1156C2×C42C22×D4311yescharacteristic
1157#95—431no—
1158#95—431no—
1159#95—431no—
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#95C22×D4311yescharacteristic
1182#95C22×D4311yescharacteristic
1183#95C22×D4311yescharacteristic
1184#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186#95C22×D4311yescharacteristic
1187#95C22×D4311yescharacteristic
1188#95C22×D4311yescharacteristic
1189C24—431no—
1190C24—431no—
1191C24C23×D4311yescharacteristic
1192C24C23×D4311yescharacteristic
1193C24C23×D4311yescharacteristic
1194#41—8632no—
1195C2×Q8—862no—
1196C2×Q8—862no—
1197C2×Q8—862no—
1198C2×Q8—862no—
1199C2×Q8—862no—
1200C2×Q8—862no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—862no—
1211C2×D4—862no—
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—1721no—
1224C2×D4—1721no—
1225C2×D4—1721no—
1226C2×D4—1721no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—431no—
1237C22×C4—431no—
1238C22×C4—434no—
1239C22×C4—434no—
1240C22×C4—434no—
1241C22×C4—431no—
1242C22×C4—431no—
1243C22×C4—431no—
1244C22×C4—434no—
1245C22×C4—431no—
1246C22×C4—431no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—1721no—
1276C22×C4—1721no—
1277C22×C4D4×D4314yes—
1278C22×C4C23×D4311yescharacteristic
1279C22×C4C23×D4311yescharacteristic
1280C22×C4C23×D4311yescharacteristic
1281C22×C4C23×D4311yescharacteristic
1282C22×C4C23×D4311yescharacteristic
1283C22×C4C23×D4311yescharacteristic
1284C22×C4C23×D4311yescharacteristic
1285C22×C4C23×D4311yescharacteristic
1286C22×C4C23×D4311yescharacteristic
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—862no—
1299C4⋊C4—862no—
1300C4⋊C4—862no—
1301C4⋊C4—862no—
1302C4⋊C4—862no—
1303C4⋊C4—862no—
1304C4⋊C4—862no—
1305C4⋊C4—862no—
1306C4⋊C4—862no—
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—1721no—
1319C4⋊C4—1721no—
1320C4⋊C4—1721no—
1321C4⋊C4—1721no—
1322C4⋊C4—1721no—
1323C4⋊C4—1721no—
1324C4⋊C4—1721no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
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—1721no—
1361C22⋊C4—1721no—
1362C22⋊C4—1721no—
1363C22⋊C4—1721no—
1364C22⋊C4—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C42—22no—
1375C42—434no—
1376C42—434no—
1377C42—434no—
1378C42—434no—
1379C42—862no—
1380C42—862no—
1381C42—862no—
1382C42—862no—
1383C42—862no—
1384C42—862no—
1385C42—862no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—432no—
1410C23—861no—
1411C23—861no—
1412C23—861no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23C2×D4×D4312yes—
1424C23#41×D4312yes—
1425C23C24×D4311yescharacteristic
1426Q8—868no—
1427Q8—1724no—
1428D4—28no—
1429D4—44no—
1430D4—44no—
1431D4—868no—
1432D4—868no—
1433D4—1724no—
1434D4—1724no—
1435D4—1724no—
1436D4—1724no—
1437D4—1724no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—432no—
1474C2×C4—432no—
1475C2×C4—432no—
1476C2×C4—432no—
1477C2×C4—432no—
1478C2×C4—432no—
1479C2×C4—432no—
1480C2×C4—432no—
1481C2×C4—432no—
1482C2×C4—868no—
1483C2×C4—868no—
1484C2×C4—868no—
1485C2×C4—868no—
1486C2×C4—861no—
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—1724no—
1520C2×C4—1724no—
1521C2×C4—1724no—
1522C2×C4—1724no—
1523C2×C4—1724no—
1524C2×C4C2×D4×D4312yes—
1525C2×C4C2×D4×D4312yes—
1526C2×C4#41×D4312yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—862no—
1549C22—862no—
1550C22—862no—
1551C22—1721no—
1552C22—1721no—
1553C22—1721no—
1554C22—1721no—
1555C22—1721no—
1556C22—1721no—
1557C22—1721no—
1558C22—1721no—
1559C22—1721no—
1560C22—1721no—
1561C22—1721no—
1562C22C22×D4×D4311yescharacteristic
1563C22C2×#41×D4311yescharacteristic
1564C22C2×#41×D4311yescharacteristic
1565C22H(5,𝔽2)×D4311yescharacteristic
1566C222−1+4×D4311yescharacteristic
1567C22#1458373411yescharacteristic
1568C22#1458373411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—434no—
1582C4—434no—
1583C4—862no—
1584C4—862no—
1585C4—862no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C4—1721no—
1593C4—1721no—
1594C4—1721no—
1595C2—42no—
1596C2—42no—
1597C2—81no—
1598C2—3441no—
1599C2—1722no—
1600C2#525×D4311yescharacteristic
1601C2#537×D4311yescharacteristic
1602C2#1914792111yescharacteristic
1603C2#1914801011yescharacteristic
1604C2#1914801411yescharacteristic
1605C2#1914802111yescharacteristic
1606C2#1914802511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2630C2
prime radical#19140318C2
hypercenter#2630D43
hypocenterC43#34614
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#14583426C2semidirect
2. C2×C4×#10621900C2semidirect
3. #19140509C2semidirect
4. #19140507C2semidirect
5. #19140498C2semidirect
6. #19140496C2semidirect
7. #19140436C2semidirect
8. #19140434C2semidirect
9. #19140432C2semidirect
10. #19140427C2semidirect
11. #19140424C2semidirect
12. #19140391C2semidirect
13. #19140383C2semidirect
14. #19140354C2semidirect
15. #19140351C2semidirect
16. #19140323C2semidirect
18. #19137872C2semidirect
19. #19137870C2semidirect
20. #19137840C2semidirect
21. #19137838C2semidirect
22. #19137838C2semidirect
23. #19137838C2semidirect
24. #19137832C2semidirect
25. #19137830C2semidirect
26. #19137129C2semidirect
27. #19137127C2semidirect
28. #19137107C2semidirect
29. #19137105C2semidirect
30. #19136997C2semidirect
31. C43×#2630C2semidirect
307. C2×C4×Dic43D4semidirect
801. #2630D43semidirect
992. C43#34614semidirect

Maximal subgroups

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

subgroupindex
C2×#145834262
C2×C4×#106219002
#191405092
#191405072
#191404982
#191404962
#191404362
#191404342
#191404322
#191404272
#191404242
#191403912
#191403832
#191403542
#191403512
#191403232
#191403182
#191378722
#191378702
#191378402
#191378382
#191378322
#191378302
#191371292
#191371272
#191371072
#191371052
#191369972
C43×#26302
#3461443