Finite Group Databasebeta

← #25304026

Subgroups — #25304026

Order 11008.

2494 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583490C211yesmaximal, characteristic, complemented
2C2×#14583478C211yesmaximal, characteristic, complemented
3#19142939C211yesmaximal, characteristic, complemented
4#19142895C211yesmaximal, characteristic, complemented
5#19141513C211yesmaximal, characteristic, complemented
6#19141510C211yesmaximal, characteristic, complemented
7#19141479C211yesmaximal, characteristic, complemented
8#19141476C211yesmaximal, characteristic, complemented
9#19141386C211yesmaximal, characteristic, complemented
10#19141357C211yesmaximal, characteristic, complemented
11#19141352C211yesmaximal, characteristic, complemented
12#19141151C211yesmaximal, characteristic, complemented
13#19141148C211yesmaximal, characteristic, complemented
14#19141089C211yesmaximal, characteristic, complemented
15#19141088C211yesmaximal, characteristic, complemented
16#19140890C211yesmaximal, characteristic, complemented
17#19140889C211yesmaximal, characteristic, complemented
18#19140867C211yesmaximal, characteristic, complemented
19#19140860C211yesmaximal, characteristic, complemented
20#19140696C211yesmaximal, characteristic, complemented
21#19140522C211yesmaximal, characteristic, complemented
22#19139560C211yesmaximal, characteristic, complemented
23#19139550C211yesmaximal, characteristic, complemented
24#19138204C211yesmaximal, characteristic, complemented
25#19138202C211yesmaximal, characteristic, complemented
26#19138200C211yesmaximal, characteristic, complemented
27#19138198C211yesmaximal, characteristic, complemented
28#19138038C211yesmaximal, characteristic, complemented
29#19138028C211yesmaximal, characteristic, complemented
30#387×D43C211yesmaximal, characteristic, complemented
31C43×#2714C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C22×#10621900C2211yescharacteristic
34#14583490—28no—
35#14583478—28no—
36C2×#13063321C2211yescharacteristic
37C2×#13063320C2211yescharacteristic
38C2×#13063317C2211yescharacteristic
39C2×#13063316C2211yescharacteristic
40C2×#13063312C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063309C2211yescharacteristic
43C2×#13063307C2211yescharacteristic
44C2×#13063307C2211yescharacteristic
45C2×#13063305C2211yescharacteristic
46C2×#13063305C2211yescharacteristic
47C2×#13063304C2211yescharacteristic
48C2×#13063303C2211yescharacteristic
49C2×#13063302C2211yescharacteristic
50C2×#13063302C2211yescharacteristic
51C2×#13063302C2211yescharacteristic
52C2×#13063300C2211yescharacteristic
53C2×#13063298C2211yescharacteristic
54C2×#13063298C2211yescharacteristic
55C2×#13063298C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063298C2211yescharacteristic
58C2×#13063298C2211yescharacteristic
59C2×#13063298C2211yescharacteristic
60C2×#13063297C2211yescharacteristic
61C2×#13063297C2211yescharacteristic
62C2×#13063297C2211yescharacteristic
63C2×#13063296C2211yescharacteristic
64C2×#13063296C2211yescharacteristic
65C2×#13063296C2211yescharacteristic
66C2×#13063296C2211yescharacteristic
67C2×#13063296C2211yescharacteristic
68C2×#13063296C2211yescharacteristic
69C2×#13063296C2211yescharacteristic
70C2×C4×D172C2211yescharacteristic
71C2×(C22⋊D43)⋊C4C2211yescharacteristic
72C2×C4⋊C4×D43C2211yescharacteristic
73C2×C4⋊C4×D43C2211yescharacteristic
74C2×C42×D43C2211yescharacteristic
75#14582841C2211yescharacteristic
76#14582841C2211yescharacteristic
77#14582836C2211yescharacteristic
78#14582835C2211yescharacteristic
79#14582835C2211yescharacteristic
80#14582835C2211yescharacteristic
81#14582832C2211yescharacteristic
82#14582831C2211yescharacteristic
83#14582828C2211yescharacteristic
84#14582825C2211yescharacteristic
85#14582824C2211yescharacteristic
86#14582822C2211yescharacteristic
87#14582822C2211yescharacteristic
88#14582822C2211yescharacteristic
89#14582821C2211yescharacteristic
90#14582820C2211yescharacteristic
91#14582820C2211yescharacteristic
92#14582819C2211yescharacteristic
93#14582819C2211yescharacteristic
94#14582815C2211yescharacteristic
95#14582815C2211yescharacteristic
96#14582815C2211yescharacteristic
97#14582815C2211yescharacteristic
98#14582815C2211yescharacteristic
99#14582814C2211yescharacteristic
100#14582814C2211yescharacteristic
101#14582814C2211yescharacteristic
102#14582813C2211yescharacteristic
103#14582813C2211yescharacteristic
104#14582812C2211yescharacteristic
105#14582812C2211yescharacteristic
106#14582812C2211yescharacteristic
107#14582811C2211yescharacteristic
108#14582811C2211yescharacteristic
109#14582811C2211yescharacteristic
110#14582808C2211yescharacteristic
111#14582808C2211yescharacteristic
112#14582807C2211yescharacteristic
113#14582807C2211yescharacteristic
114#14582807C2211yescharacteristic
115#14582807C2211yescharacteristic
116#14582807C2211yescharacteristic
117#14582805C2211yescharacteristic
118#14582801C2211yescharacteristic
119#14582799C2211yescharacteristic
120#14582799C2211yescharacteristic
121#14582799C2211yescharacteristic
122#14582799C2211yescharacteristic
123#14582799C2211yescharacteristic
124#14582797C2211yescharacteristic
125#14582796C2211yescharacteristic
126#14582792C2211yescharacteristic
127#14582792C2211yescharacteristic
128#14582792C2211yescharacteristic
129#14582792C2211yescharacteristic
130#14582792C2211yescharacteristic
131#14582792C2211yescharacteristic
132#14582790C2211yescharacteristic
133#14582786C2211yescharacteristic
134#14582785C2211yescharacteristic
135#14582784C2211yescharacteristic
136#14582783C2211yescharacteristic
137#14582782C2211yescharacteristic
138#14582781C2211yescharacteristic
139#14582780C2211yescharacteristic
140#14582779C2211yescharacteristic
141#14582779C2211yescharacteristic
142#14582779C2211yescharacteristic
143#14582779C2211yescharacteristic
144#14582778C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582776C2211yescharacteristic
150#14582776C2211yescharacteristic
151#14582775C2211yescharacteristic
152#14582775C2211yescharacteristic
153#14582775C2211yescharacteristic
154#14582775C2211yescharacteristic
155#14582775C2211yescharacteristic
156#14582775C2211yescharacteristic
157#14582775C2211yescharacteristic
158#14582775C2211yescharacteristic
159#14582774C2211yescharacteristic
160#14582774C2211yescharacteristic
161#14582773C2211yescharacteristic
162#14582772C2211yescharacteristic
163#14582771C2211yescharacteristic
164#14582771C2211yescharacteristic
165#14582770C2211yescharacteristic
166#14582768C2211yescharacteristic
167#14582764C2211yescharacteristic
168#14582757C2211yescharacteristic
169#14582756C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#126×C43C2211yescharacteristic
175C2×#121×C43C2211yescharacteristic
176C43×#397C2211yescharacteristic
177C43×#394C2211yescharacteristic
178C43×#394C2211yescharacteristic
179C43×#392C2211yescharacteristic
180C43×#392C2211yescharacteristic
181C43×#392C2211yescharacteristic
182C43×#390C2211yescharacteristic
183C43×#390C2211yescharacteristic
184C43×#390C2211yescharacteristic
185C43×#388C2211yescharacteristic
186C43×#387C2211yescharacteristic
187C43×#386C2211yescharacteristic
188C43×#385C2211yescharacteristic
189C2×#10621898—24no—
190C2×#10621898—42no—
191C2×#10621898—42no—
192C2×#10621900—24no—
193C2×#10621900—42no—
194C2×#10621900—42no—
195C22×Dic86C2311yescharacteristic
196C22×Dic86C2311yescharacteristic
197C22×Dic86C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C23×Dic43C2311yescharacteristic
214C23×Dic43C2311yescharacteristic
215C23×Dic43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225#13063321—42no—
226#13063320—24no—
227#13063317—24no—
228#13063316—24no—
229#13063312—42no—
230#13063310—24no—
231#13063309—24no—
232#13063307—24no—
233#13063307—24no—
234#13063305—24no—
235#13063305—24no—
236#13063304—24no—
237#13063303—24no—
238#13063302—24no—
239#13063302—24no—
240#13063302—24no—
241#13063300—42no—
242#13063298—24no—
243#13063298—24no—
244#13063298—24no—
245#13063298—42no—
246#13063298—42no—
247#13063298—42no—
248#13063298—42no—
249#13063297—24no—
250#13063297—24no—
251#13063297—42no—
252#13063296—24no—
253#13063296—24no—
254#13063296—24no—
255#13063296—42no—
256#13063296—42no—
257#13063296—42no—
258#13063296—42no—
259C4×D172—24no—
260(C22⋊D43)⋊C4—24no—
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×C4⋊Dic43C2311yescharacteristic
264C2×C4⋊Dic43C2311yescharacteristic
265C2×C4⋊Dic43C2311yescharacteristic
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×C4⋊Dic43C2311yescharacteristic
271C2×C4⋊Dic43C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×Dic43⋊C4C2311yescharacteristic
285C2×Dic43⋊C4C2311yescharacteristic
286C4⋊C4×D43—42no—
287C4⋊C4×D43D418yescomplemented
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
296C2×C22⋊Dic43C2311yescharacteristic
297C2×C22⋊Dic43C2311yescharacteristic
298C2×C22⋊Dic43C2311yescharacteristic
299C2×C22⋊Dic43C2311yescharacteristic
300C2×C22⋊Dic43C2311yescharacteristic
301C2×C22⋊Dic43C2311yescharacteristic
302C2×C22⋊Dic43C2311yescharacteristic
303C2×C22⋊Dic43C2311yescharacteristic
304C2×C22⋊Dic43C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C42×D43—42no—
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
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×D4×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C22×D4×C43C2311yescharacteristic
357C22×D4×C43C2311yescharacteristic
358C22×D4×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C23×C4×C43C2311yescharacteristic
361#126×C43—24no—
362#121×C43—24no—
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C42×C43C2311yescharacteristic
384C2×C42×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C22×C4×C43—22no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—22no—
437C2×C22⋊D43—22no—
438C2×C22⋊D43—22no—
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43—41no—
458C2×C22⋊D43—41no—
459C2×C22⋊D43—41no—
460C2×C22⋊D43—41no—
461C2×C22⋊D43—41no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C22×Dic43—22no—
467C22×Dic43—22no—
468C22×Dic43—22no—
469C22×Dic43—41no—
470C22×Dic43—41no—
471C22×Dic43—41no—
472C22×Dic43—41no—
473C22×Dic43—41no—
474C22×Dic43—41no—
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488#10621900—416no—
489#10621898—416no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—22no—
496C2×D172—22no—
497C2×D172—41no—
498C2×D172—41no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—41no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43C2×D414yes—
524C2×C4×D43C2×D414yes—
525C2×C4×D43C2×D414yes—
526C2×Dic86—22no—
527C2×Dic86—22no—
528C2×Dic86—22no—
529C2×Dic86—41no—
530C2×Dic86—41no—
531C2×Dic86—41no—
532C2×Dic86—41no—
533C2×Dic86—41no—
534C2×Dic86—41no—
535C4⋊C4×C43—22no—
536C4⋊C4×C43—22no—
537C4⋊C4×C43—41no—
538C4⋊C4×C43—41no—
539C4⋊C4×C43C2×D414yes—
540C22⋊C4×C43—22no—
541C22⋊C4×C43—22no—
542C22⋊C4×C43—22no—
543C22⋊C4×C43—22no—
544C22⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—41no—
548C22⋊C4×C43—41no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C42×C43—22no—
556C42×C43—41no—
557C22⋊Dic43—22no—
558C22⋊Dic43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—22no—
561C22⋊Dic43—22no—
562C22⋊Dic43—22no—
563C22⋊Dic43—22no—
564C22⋊Dic43—41no—
565C22⋊Dic43—41no—
566C22⋊Dic43—41no—
567C22⋊Dic43—41no—
568C22⋊Dic43—41no—
569C22⋊Dic43—41no—
570C22⋊Dic43—41no—
571C22⋊Dic43—41no—
572C22⋊Dic43—41no—
573C22⋊Dic43—41no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—41no—
583(C2×D43)⋊C4—41no—
584(C2×D43)⋊C4—41no—
585(C2×D43)⋊C4—41no—
586(C2×D43)⋊C4—41no—
587(C2×D43)⋊C4—41no—
588(C2×D43)⋊C4—41no—
589(C2×D43)⋊C4—41no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592C4⋊Dic43—22no—
593C4⋊Dic43—22no—
594C4⋊Dic43—22no—
595C4⋊Dic43—22no—
596C4⋊Dic43—22no—
597C4⋊Dic43—22no—
598C4⋊Dic43—22no—
599C4⋊Dic43—41no—
600C4⋊Dic43—41no—
601C4⋊Dic43—41no—
602C4⋊Dic43C2×D414yes—
603Dic43⋊C4—22no—
604Dic43⋊C4—22no—
605Dic43⋊C4—22no—
606Dic43⋊C4—22no—
607Dic43⋊C4—22no—
608Dic43⋊C4—22no—
609Dic43⋊C4—22no—
610Dic43⋊C4—41no—
611Dic43⋊C4—41no—
612Dic43⋊C4—41no—
613Dic43⋊C4—41no—
614Dic43⋊C4—41no—
615Dic43⋊C4C2×D414yes—
616Dic43⋊C4C2×D414yes—
617C4×Dic43—22no—
618C4×Dic43—22no—
619C4×Dic43—22no—
620C4×Dic43—41no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43C2511yescharacteristic
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43C22×D412yes—
669C22×D43H(5,𝔽2)12yes—
670C22×D43H(5,𝔽2)12yes—
671D4×C43—44no—
672D4×C43—82no—
673D4×C43—82no—
674D4×C43—82no—
675D4×C43—82no—
676D4×C43—82no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—44no—
707C2×C4×C43C22×D412yes—
708C2×C4×C43C22×D412yes—
709C2×C4×C43C22×D412yes—
710C2×C4×C432−1+412yes—
711C22⋊D43—44no—
712C22⋊D43—44no—
713C22⋊D43—44no—
714C22⋊D43—44no—
715C22⋊D43—44no—
716C22⋊D43—82no—
717C22⋊D43—82no—
718C22⋊D43—82no—
719C22⋊D43—82no—
720C22⋊D43—82no—
721C22⋊D43—82no—
722C22⋊D43—82no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—44no—
759C2×Dic43—44no—
760C2×Dic43—82no—
761C2×Dic43C22×D412yes—
762C2×Dic43C22×D412yes—
763C2×Dic43C22×D412yes—
764C2×Dic43H(5,𝔽2)12yes—
765D172—44no—
766D172—44no—
767D172—82no—
768C4×D43—28no—
769C4×D43—44no—
770C4×D43—44no—
771C4×D43—44no—
772C4×D43—44no—
773C4×D43—44no—
774C4×D43—82no—
775C4×D43—82no—
776C4×D43—82no—
777Dic86—44no—
778Dic86—44no—
779Dic86—82no—
780#36741—431nomaximal, Sylow
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43C23×D411yescharacteristic
810C22×C43C2×H(5,𝔽2)11yescharacteristic
811C22×C43C2×H(5,𝔽2)11yescharacteristic
812C22×C43C2×H(5,𝔽2)11yescharacteristic
813C22×C43C2×2−1+411yescharacteristic
814C22×C43#58511yescharacteristic
815C22×C43#58511yescharacteristic
816C2×D43—22no—
817C2×D43—22no—
818C2×D43—22no—
819C2×D43—22no—
820C2×D43—22no—
821C2×D43—22no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43#53514yes—
837C4×C43—22no—
838C4×C43—22no—
839C4×C43—22no—
840C4×C43—22no—
841C4×C43—41no—
842C4×C43—41no—
843C4×C43—41no—
844C4×C43—41no—
845C4×C43—41no—
846C4×C43—41no—
847C4×C43—41no—
848Dic43—22no—
849Dic43—22no—
850Dic43—22no—
851Dic43—22no—
852Dic43—41no—
853Dic43—41no—
854Dic43—41no—
855Dic43—41no—
856Dic43—41no—
857Dic43—41no—
858Dic43—41no—
859Dic43—41no—
860Dic43—41no—
861C2×#539—431no—
862C2×#537—431no—
863#2856—431no—
864#2850—431no—
865#2723—431no—
866#2723—431no—
867#2720—431no—
868#2720—431no—
869#2714—431no—
870#2714D4311yescharacteristic, complemented
871#2711—431no—
872#2711—431no—
873#2696—431no—
874#2696—431no—
875#2692—431no—
876#2692—431no—
877#2676—431no—
878#2676—431no—
879#2673—431no—
880#2673—431no—
881#2656—431no—
882#2639—431no—
883#2543—431no—
884#2543—431no—
885#2430—431no—
886#2430—431no—
887#2430—431no—
888#2430—431no—
889#2416—431no—
890#2416—431no—
891C2×#387—431no—
892C2×C43—81no—
893C2×C43—81no—
894C2×C43—81no—
895C2×C43—81no—
896C2×C43C2×#53511yescharacteristic
897C2×C43#349611yescharacteristic
898C2×C43#349711yescharacteristic
899C2×C43#353411yescharacteristic
900C2×C43#353611yescharacteristic
901C2×C43#355911yescharacteristic
902C2×C43#356011yescharacteristic
903D43—24no—
904D43—81no—
905D43—81no—
906C22×#41—431no—
907C22×#41—431no—
908#539—868no—
909#537—868no—
910C2×#127—431no—
911C2×#126—431no—
912C2×#126C2×D4311yescharacteristic
913C2×#125—431no—
914C2×#125—431no—
915C2×#124—431no—
916C2×#123—431no—
917C2×#123—431no—
918C2×#123—431no—
919C2×#123—431no—
920C2×C22⋊Q8—431no—
921C2×C22⋊Q8—431no—
922C2×C22⋊Q8—431no—
923C2×C22⋊Q8—431no—
924C2×C22⋊Q8—431no—
925C2×C22⋊Q8—431no—
926C2×C22⋊Q8—431no—
927C2×#121—431no—
928C2×#121—431no—
929C2×#121—431no—
930C2×#121—431no—
931C2×#121—431no—
932C2×#121—431no—
933C2×#121—431no—
934C2×#121—431no—
935C2×#121—431no—
936C2×#121—431no—
937C2×#121—431no—
938C2×#121—431no—
939C2×#121—431no—
940C2×#121—431no—
941C2×#121—431no—
942C2×#121—431no—
943C2×#121—431no—
944C2×#121—431no—
945C2×#121C2×D4311yescharacteristic
946C2×C4×D4—431no—
947C2×C4×D4—431no—
948C22×C4⋊C4—431no—
949C22×C4⋊C4—431no—
950C22×C42—431no—
951#400—431no—
952#400—431no—
953#399—431no—
954#399—431no—
955#399—431no—
956#399—431no—
957#398—431no—
958#398—431no—
959#397—431no—
960#397—431no—
961#397—431no—
962#397C2×D4311yescharacteristic
963#396—431no—
964#396—431no—
965#396—431no—
966#396—431no—
967#395—431no—
968#395—431no—
969#395—431no—
970#395—431no—
971#394—431no—
972#394—431no—
973#394—431no—
974#394—431no—
975#394—431no—
976#394—431no—
977#394—431no—
978#394—431no—
979#394—431no—
980#394—431no—
981#394C2×D4311yescharacteristic
982#394C2×D4311yescharacteristic
983#393—431no—
984#393—431no—
985#393—431no—
986#393—431no—
987#393—431no—
988#393—431no—
989#392—431no—
990#392—431no—
991#392—431no—
992#392—431no—
993#392—431no—
994#392—431no—
995#392—431no—
996#392C2×D4311yescharacteristic
997#392C2×D4311yescharacteristic
998#392C2×D4311yescharacteristic
999#391—431no—
1000#390—431no—
1001#390—431no—
1002#390—431no—
1003#390—431no—
1004#390—431no—
1005#390—431no—
1006#390C2×D4311yescharacteristic
1007#390C2×D4311yescharacteristic
1008#390C2×D4311yescharacteristic
1009#389—431no—
1010#389—431no—
1011#388—431no—
1012#388—431no—
1013#388—431no—
1014#388—431no—
1015#388—431no—
1016#388—431no—
1017#388—431no—
1018#388C2×D4311yescharacteristic
1019#387—431no—
1020#387—431no—
1021#387—431no—
1022#387—431no—
1023#387—431no—
1024#387—431no—
1025#387—431no—
1026#387C2×D4311yescharacteristic
1027#386—431no—
1028#386—431no—
1029#386—431no—
1030#386—431no—
1031#386—431no—
1032#386—431no—
1033#386—431no—
1034#386—431no—
1035#386—431no—
1036#386—431no—
1037#386—431no—
1038#386—431no—
1039#386—431no—
1040#386—431no—
1041#386—431no—
1042#386—431no—
1043#386—431no—
1044#386—431no—
1045#386—431no—
1046#386C2×D4311yescharacteristic
1047#385—431no—
1048#385—431no—
1049#385—431no—
1050#385—431no—
1051#385—431no—
1052#385—431no—
1053#385—431no—
1054#385C2×D4311yescharacteristic
1055#384—431no—
1056#382—431no—
1057#380—431no—
1058#380—431no—
1059C2×#95—431no—
1060C2×#95—431no—
1061C2×#95—431no—
1062C2×#95—431no—
1063C43#3674111yescharacteristic, complemented, Sylow
1064C2×#41—864no—
1065C2×#41—864no—
1066C2×#41—1722no—
1067C2×#41—1722no—
1068C2×#41—1722no—
1069C2×#41—1722no—
1070C22×Q8—431no—
1071C22×Q8—431no—
1072C22×Q8—431no—
1073C22×D4—431no—
1074C22×D4—431no—
1075C22×D4—431no—
1076C22×D4—431no—
1077C22×D4—431no—
1078C22×D4—431no—
1079C22×D4—431no—
1080C22×D4—431no—
1081C22×D4—431no—
1082C22×D4—431no—
1083C22×D4—431no—
1084C22×D4—431no—
1085C22×D4—431no—
1086C22×D4—431no—
1087C22×D4—431no—
1088C22×D4C22×D4311yescharacteristic
1089C22×D4C22×D4311yescharacteristic
1090C22×D4C22×D4311yescharacteristic
1091C22×D4C22×D4311yescharacteristic
1092C22×D4C22×D4311yescharacteristic
1093C22×D4C22×D4311yescharacteristic
1094C23×C4—431no—
1095C23×C4—431no—
1096C23×C4—431no—
1097C23×C4—431no—
1098C23×C4—431no—
1099C23×C4—431no—
1100C23×C4—431no—
1101C23×C4—431no—
1102C23×C4—431no—
1103C23×C4—431no—
1104C23×C4—431no—
1105C23×C4—431no—
1106C23×C4C22×D4311yescharacteristic
1107#127—1722no—
1108#126—24no—
1109#126—864no—
1110#125—864no—
1111#125—864no—
1112#124—1722no—
1113#123—864no—
1114#123—864no—
1115#123—864no—
1116#123—864no—
1117C22⋊Q8—864no—
1118C22⋊Q8—864no—
1119C22⋊Q8—864no—
1120C22⋊Q8—864no—
1121C22⋊Q8—864no—
1122C22⋊Q8—864no—
1123C22⋊Q8—864no—
1124#121—24no—
1125#121—864no—
1126#121—864no—
1127#121—864no—
1128#121—864no—
1129#121—864no—
1130#121—864no—
1131#121—864no—
1132#121—864no—
1133#121—1722no—
1134#121—1722no—
1135#121—1722no—
1136#121—1722no—
1137#121—1722no—
1138#121—1722no—
1139#121—1722no—
1140#121—1722no—
1141#121—1722no—
1142#121—1722no—
1143C4×D4—864no—
1144C4×D4—864no—
1145C2×C4⋊C4—431no—
1146C2×C4⋊C4—431no—
1147C2×C4⋊C4—431no—
1148C2×C4⋊C4—438no—
1149C2×C4⋊C4—431no—
1150C2×C4⋊C4—431no—
1151C2×C4⋊C4—431no—
1152C2×C4⋊C4—431no—
1153C2×C4⋊C4—431no—
1154C2×C4⋊C4—431no—
1155C2×C4⋊C4—431no—
1156C2×C4⋊C4—431no—
1157C2×C4⋊C4—431no—
1158C2×C4⋊C4—431no—
1159C2×C4⋊C4—431no—
1160C2×C4⋊C4—431no—
1161C2×C4⋊C4—431no—
1162C2×C4⋊C4—431no—
1163C2×C4⋊C4—431no—
1164C2×C4⋊C4—431no—
1165C2×C4⋊C4—431no—
1166C2×C4⋊C4—431no—
1167C2×C4⋊C4—431no—
1168C2×C4⋊C4—431no—
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—1722no—
1172C2×C4⋊C4C22×D4311yescharacteristic
1173C2×C4⋊C4C22×D4311yescharacteristic
1174C2×C4⋊C4C22×D4311yescharacteristic
1175C2×C4⋊C4C22×D4311yescharacteristic
1176C2×C4⋊C4C22×D4311yescharacteristic
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—431no—
1196C2×C22⋊C4—431no—
1197C2×C22⋊C4—431no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—431no—
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4C22×D4311yescharacteristic
1213C2×C22⋊C4C22×D4311yescharacteristic
1214C2×C22⋊C4C22×D4311yescharacteristic
1215C2×C22⋊C4C22×D4311yescharacteristic
1216C2×C22⋊C4C22×D4311yescharacteristic
1217C2×C22⋊C4C22×D4311yescharacteristic
1218C2×C22⋊C4C22×D4311yescharacteristic
1219C2×C22⋊C4C22×D4311yescharacteristic
1220C2×C22⋊C4C22×D4311yescharacteristic
1221C2×C22⋊C4C22×D4311yescharacteristic
1222C2×C22⋊C4C22×D4311yescharacteristic
1223C2×C22⋊C4C22×D4311yescharacteristic
1224C2×C22⋊C4C22×D4311yescharacteristic
1225C2×C22⋊C4C22×D4311yescharacteristic
1226C2×C22⋊C4C22×D4311yescharacteristic
1227C2×C42—431no—
1228C2×C42—431no—
1229C2×C42—431no—
1230C2×C42—431no—
1231C2×C42—1722no—
1232C2×C42C22×D4311yescharacteristic
1233C2×C42C22×D4311yescharacteristic
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95—431no—
1244#95—431no—
1245#95—431no—
1246#95—431no—
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95—431no—
1251#95—431no—
1252#95—431no—
1253#95—431no—
1254#95—431no—
1255#95—431no—
1256#95—431no—
1257#95—431no—
1258#95—431no—
1259#95—431no—
1260#95C22×D4311yescharacteristic
1261#95C22×D4311yescharacteristic
1262#95C22×D4311yescharacteristic
1263#95C22×D4311yescharacteristic
1264#95C22×D4311yescharacteristic
1265#95C22×D4311yescharacteristic
1266C24—431no—
1267C24—431no—
1268C24—431no—
1269C24C23×D4311yescharacteristic
1270C24C23×D4311yescharacteristic
1271C24C23×D4311yescharacteristic
1272C24C23×D4311yescharacteristic
1273#41—17216no—
1274#41—17216no—
1275C2×Q8—862no—
1276C2×Q8—862no—
1277C2×Q8—862no—
1278C2×Q8—1721no—
1279C2×Q8—1721no—
1280C2×Q8—1721no—
1281C2×Q8—1721no—
1282C2×Q8—1721no—
1283C2×Q8—1721no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—862no—
1303C2×D4—862no—
1304C2×D4—862no—
1305C2×D4—862no—
1306C2×D4—862no—
1307C2×D4—862no—
1308C2×D4—862no—
1309C2×D4—862no—
1310C2×D4—862no—
1311C2×D4—862no—
1312C2×D4—862no—
1313C2×D4—862no—
1314C2×D4—862no—
1315C2×D4—862no—
1316C2×D4—862no—
1317C2×D4—862no—
1318C2×D4—862no—
1319C2×D4—862no—
1320C2×D4—862no—
1321C2×D4—862no—
1322C2×D4—862no—
1323C2×D4—862no—
1324C2×D4—862no—
1325C2×D4—862no—
1326C2×D4—862no—
1327C2×D4—1721no—
1328C2×D4—1721no—
1329C2×D4—1721no—
1330C2×D4—1721no—
1331C2×D4—1721no—
1332C2×D4—1721no—
1333C2×D4—1721no—
1334C2×D4—1721no—
1335C2×D4—1721no—
1336C2×D4—1721no—
1337C2×D4—1721no—
1338C2×D4—1721no—
1339C2×D4—1721no—
1340C2×D4—1721no—
1341C2×D4—1721no—
1342C2×D4—1721no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C22×C4—22no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—434no—
1355C22×C4—434no—
1356C22×C4—434no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—862no—
1367C22×C4—862no—
1368C22×C4—862no—
1369C22×C4—862no—
1370C22×C4—862no—
1371C22×C4—862no—
1372C22×C4—862no—
1373C22×C4—862no—
1374C22×C4—862no—
1375C22×C4—862no—
1376C22×C4—862no—
1377C22×C4—862no—
1378C22×C4—862no—
1379C22×C4—1721no—
1380C22×C4—1721no—
1381C22×C4—1721no—
1382C22×C4—1721no—
1383C22×C4—1721no—
1384C22×C4—1721no—
1385C22×C4—1721no—
1386C22×C4—1721no—
1387C22×C4—1721no—
1388C22×C4—1721no—
1389C22×C4—1721no—
1390C22×C4—1721no—
1391C22×C4—1721no—
1392C22×C4—1721no—
1393C22×C4—1721no—
1394C22×C4—1721no—
1395C22×C4—1721no—
1396C22×C4—1721no—
1397C22×C4—1721no—
1398C22×C4—1721no—
1399C22×C4C23×D4311yescharacteristic
1400C22×C4C23×D4311yescharacteristic
1401C22×C4C23×D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406C22×C4C23×D4311yescharacteristic
1407C22×C4C23×D4311yescharacteristic
1408C22×C4C23×D4311yescharacteristic
1409C22×C4C23×D4311yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—434no—
1415C4⋊C4—434no—
1416C4⋊C4—434no—
1417C4⋊C4—862no—
1418C4⋊C4—862no—
1419C4⋊C4—862no—
1420C4⋊C4—862no—
1421C4⋊C4—862no—
1422C4⋊C4—862no—
1423C4⋊C4—862no—
1424C4⋊C4—862no—
1425C4⋊C4—862no—
1426C4⋊C4—862no—
1427C4⋊C4—862no—
1428C4⋊C4—862no—
1429C4⋊C4—862no—
1430C4⋊C4—862no—
1431C4⋊C4—1721no—
1432C4⋊C4—1721no—
1433C4⋊C4—1721no—
1434C4⋊C4—1721no—
1435C4⋊C4—1721no—
1436C4⋊C4—1721no—
1437C4⋊C4—1721no—
1438C4⋊C4—1721no—
1439C4⋊C4D4×D4314yes—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—862no—
1456C22⋊C4—862no—
1457C22⋊C4—862no—
1458C22⋊C4—862no—
1459C22⋊C4—862no—
1460C22⋊C4—862no—
1461C22⋊C4—862no—
1462C22⋊C4—862no—
1463C22⋊C4—862no—
1464C22⋊C4—862no—
1465C22⋊C4—862no—
1466C22⋊C4—862no—
1467C22⋊C4—862no—
1468C22⋊C4—862no—
1469C22⋊C4—862no—
1470C22⋊C4—1721no—
1471C22⋊C4—1721no—
1472C22⋊C4—1721no—
1473C22⋊C4—1721no—
1474C22⋊C4—1721no—
1475C22⋊C4—1721no—
1476C22⋊C4—1721no—
1477C22⋊C4—1721no—
1478C22⋊C4—1721no—
1479C22⋊C4—1721no—
1480C22⋊C4—1721no—
1481C22⋊C4—1721no—
1482C22⋊C4—1721no—
1483C22⋊C4—1721no—
1484C22⋊C4—1721no—
1485C22⋊C4—1721no—
1486C22⋊C4—1721no—
1487C22⋊C4—1721no—
1488C22⋊C4—1721no—
1489C22⋊C4—1721no—
1490C42—22no—
1491C42—41no—
1492C42—862no—
1493C42—862no—
1494C42—862no—
1495C42—1721no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—432no—
1525C23—432no—
1526C23—432no—
1527C23—861no—
1528C23—861no—
1529C23—861no—
1530C23—861no—
1531C23—861no—
1532C23—861no—
1533C23—861no—
1534C23—861no—
1535C23—861no—
1536C23—861no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—861no—
1543C23—861no—
1544C23—861no—
1545C23C24×D4311yescharacteristic
1546Q8—3442no—
1547Q8—1724no—
1548Q8—1724no—
1549D4—44no—
1550D4—82no—
1551D4—82no—
1552D4—82no—
1553D4—82no—
1554D4—82no—
1555D4—3442no—
1556D4—3442no—
1557D4—3442no—
1558D4—3442no—
1559D4—3442no—
1560D4—3442no—
1561D4—3442no—
1562D4—3442no—
1563D4—1724no—
1564D4—1724no—
1565D4—1724no—
1566D4—1724no—
1567D4—1724no—
1568D4—1724no—
1569D4—1724no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—44no—
1600C2×C4—432no—
1601C2×C4—432no—
1602C2×C4—432no—
1603C2×C4—432no—
1604C2×C4—868no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—3442no—
1641C2×C4—3442no—
1642C2×C4—3442no—
1643C2×C4—3442no—
1644C2×C4—1724no—
1645C2×C4—1724no—
1646C2×C4—1724no—
1647C2×C4—1724no—
1648C2×C4—1724no—
1649C2×C4—1724no—
1650C2×C4—1724no—
1651C2×C4C2×D4×D4312yes—
1652C2×C4C2×D4×D4312yes—
1653C2×C4C2×D4×D4312yes—
1654C2×C4#1306337212yes—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—434no—
1684C22—862no—
1685C22—862no—
1686C22—862no—
1687C22—862no—
1688C22—862no—
1689C22—862no—
1690C22—1721no—
1691C22—1721no—
1692C22—1721no—
1693C22—1721no—
1694C22—1721no—
1695C22—1721no—
1696C22—1721no—
1697C22—1721no—
1698C22—1721no—
1699C22—1721no—
1700C22—1721no—
1701C22—1721no—
1702C22—1721no—
1703C22—1721no—
1704C22C22×D4×D4311yescharacteristic
1705C22H(5,𝔽2)×D4311yescharacteristic
1706C22H(5,𝔽2)×D4311yescharacteristic
1707C22H(5,𝔽2)×D4311yescharacteristic
1708C22C2×#1306337211yescharacteristic
1709C22#1458373411yescharacteristic
1710C22#1458373511yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—862no—
1723C4—862no—
1724C4—862no—
1725C4—862no—
1726C4—1721no—
1727C4—1721no—
1728C4—1721no—
1729C4—1721no—
1730C4—1721no—
1731C4—1721no—
1732C4—1721no—
1733C4—1721no—
1734C4—1721no—
1735C2—81no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—864no—
1740C2—3441no—
1741C2—3441no—
1742C2#535×D4311yescharacteristic
1743C2#1914835511yescharacteristic
1744C2#1914836011yescharacteristic
1745C2#1914877611yescharacteristic
1746C2#1914881611yescharacteristic
1747C2#1914911911yescharacteristic
1748C2#1914914011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2714C2
hypercenter#2714D43
hypocenterC43#36741
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. C2×#14583490C2semidirect
2. C2×#14583478C2semidirect
3. #19142939C2semidirect
4. #19142895C2semidirect
5. #19141513C2semidirect
6. #19141510C2semidirect
7. #19141479C2semidirect
8. #19141476C2semidirect
9. #19141386C2semidirect
10. #19141357C2semidirect
11. #19141352C2semidirect
12. #19141151C2semidirect
13. #19141148C2semidirect
14. #19141089C2semidirect
15. #19141088C2semidirect
16. #19140890C2semidirect
17. #19140889C2semidirect
18. #19140867C2semidirect
19. #19140860C2semidirect
20. #19140696C2semidirect
21. #19140522C2semidirect
22. #19139560C2semidirect
23. #19139550C2semidirect
24. #19138204C2semidirect
25. #19138202C2semidirect
26. #19138200C2semidirect
27. #19138198C2semidirect
28. #19138038C2semidirect
29. #19138028C2semidirect
30. #387×D43C2semidirect
31. C43×#2714C2semidirect
287. C4⋊C4×D43D4semidirect
870. #2714D43semidirect
1063. C43#36741semidirect

Maximal subgroups

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

subgroupindex
C2×#145834902
C2×#145834782
#191429392
#191428952
#191415132
#191415102
#191414792
#191414762
#191413862
#191413572
#191413522
#191411512
#191411482
#191410892
#191410882
#191408902
#191408892
#191408672
#191408602
#191406962
#191405222
#191395602
#191395502
#191382042
#191382022
#191382002
#191381982
#191380382
#191380282
#387×D432
C43×#27142
#3674143