Finite Group Databasebeta

← #25303400

Subgroups — #25303400

Order 11008.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583479C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
3#19142878C211yesmaximal, characteristic, complemented
4#19142876C211yesmaximal, characteristic, complemented
5#19141098C211yesmaximal, characteristic, complemented
6#19141096C211yesmaximal, characteristic, complemented
7#19141093C211yesmaximal, characteristic, complemented
8#19141091C211yesmaximal, characteristic, complemented
9#19141086C211yesmaximal, characteristic, complemented
10#19141085C211yesmaximal, characteristic, complemented
11#19141084C211yesmaximal, characteristic, complemented
12#19140902C211yesmaximal, characteristic, complemented
13#19140900C211yesmaximal, characteristic, complemented
14#19140899C211yesmaximal, characteristic, complemented
15#19140897C211yesmaximal, characteristic, complemented
16#19140895C211yesmaximal, characteristic, complemented
17#19140894C211yesmaximal, characteristic, complemented
18#19140893C211yesmaximal, characteristic, complemented
19#19140892C211yesmaximal, characteristic, complemented
20#19140342C211yesmaximal, characteristic, complemented
21#19140338C211yesmaximal, characteristic, complemented
22#19139524C211yesmaximal, characteristic, complemented
23#19139522C211yesmaximal, characteristic, complemented
24#19138252C211yesmaximal, characteristic, complemented
25#19138248C211yesmaximal, characteristic, complemented
26#19137931C211yesmaximal, characteristic, complemented
27#19137928C211yesmaximal, characteristic, complemented
28#19137915C211yesmaximal, characteristic, complemented
29#19137912C211yesmaximal, characteristic, complemented
30#19137194C211yesmaximal, characteristic, complemented
31C43×#2692C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C22×#10621898C2211yescharacteristic
34C22×Q8×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36#14583479—28no—
37C2×#13063314C2211yescharacteristic, complemented
38C2×#13063313C2211yescharacteristic, complemented
39C2×#13063311C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic, complemented
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063307C2211yescharacteristic
45C2×#13063305C2211yescharacteristic
46C2×#13063304C2211yescharacteristic
47C2×#13063303C2211yescharacteristic
48C2×#13063303C2211yescharacteristic
49C2×#13063303C2211yescharacteristic, complemented
50C2×#13063303C2211yescharacteristic, complemented
51C2×#13063302C2211yescharacteristic
52C2×#13063302C2211yescharacteristic
53C2×#13063301C2211yescharacteristic
54C2×#13063301C2211yescharacteristic, complemented
55C22⋊Q8×D43—28no—
56C2×#13063300C2211yescharacteristic
57C2×#13063300C2211yescharacteristic
58C2×#13063300C2211yescharacteristic
59C2×#13063300C2211yescharacteristic, complemented
60C2×#13063299C2211yescharacteristic
61C2×#13063299C2211yescharacteristic, complemented
62C2×#13063298C2211yescharacteristic
63C2×#13063298C2211yescharacteristic
64C2×#13063298C2211yescharacteristic
65C2×#13063298C2211yescharacteristic, complemented
66C2×#13063298C2211yescharacteristic, complemented
67C2×#13063297C2211yescharacteristic
68C2×#13063295C2211yescharacteristic
69C2×#13063295C2211yescharacteristic
70C2×#13063295C2211yescharacteristic
71C2×#13063293C2211yescharacteristic
72C2×C4⋊C4×D43C2211yescharacteristic
73C2×C4⋊C4×D43C2211yescharacteristic
74C2×C4⋊C4×D43C2211yescharacteristic
75C2×C22⋊C4×D43C2211yescharacteristic
76C2×C22⋊C4×D43C2211yescharacteristic
77#14582835C2211yescharacteristic
78#14582834C2211yescharacteristic
79#14582834C2211yescharacteristic
80#14582833C2211yescharacteristic, complemented
81#14582832C2211yescharacteristic, complemented
82#14582830C2211yescharacteristic, complemented
83#14582823C2211yescharacteristic, complemented
84#14582823C2211yescharacteristic, complemented
85#14582822C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582821C2211yescharacteristic, complemented
90#14582820C2211yescharacteristic, complemented
91#14582819C2211yescharacteristic, complemented
92#14582818C2211yescharacteristic, complemented
93#14582817C2211yescharacteristic, complemented
94#14582817C2211yescharacteristic, complemented
95#14582816C2211yescharacteristic, complemented
96#14582816C2211yescharacteristic, complemented
97#14582815C2211yescharacteristic, complemented
98#14582815C2211yescharacteristic, complemented
99#14582814C2211yescharacteristic, complemented
100#14582814C2211yescharacteristic, complemented
101#14582812C2211yescharacteristic
102#14582812C2211yescharacteristic, complemented
103#14582812C2211yescharacteristic, complemented
104#14582812C2211yescharacteristic, complemented
105#14582812C2211yescharacteristic, complemented
106#14582812C2211yescharacteristic, complemented
107#14582811C2211yescharacteristic
108#14582811C2211yescharacteristic, complemented
109#14582810C2211yescharacteristic
110#14582810C2211yescharacteristic, complemented
111#14582809C2211yescharacteristic
112#14582809C2211yescharacteristic
113#14582808C2211yescharacteristic
114#14582808C2211yescharacteristic
115#14582808C2211yescharacteristic
116#14582808C2211yescharacteristic
117#14582807C2211yescharacteristic
118#14582807C2211yescharacteristic
119#14582804C2211yescharacteristic, complemented
120#14582803C2211yescharacteristic, complemented
121#14582803C2211yescharacteristic, complemented
122#14582801C2211yescharacteristic
123#14582800C2211yescharacteristic
124#14582800C2211yescharacteristic
125#14582799C2211yescharacteristic
126#14582799C2211yescharacteristic
127#14582799C2211yescharacteristic
128#14582799C2211yescharacteristic
129#14582786C2211yescharacteristic, complemented
130#14582785C2211yescharacteristic, complemented
131#14582784C2211yescharacteristic, complemented
132#14582783C2211yescharacteristic, complemented
133#14582782C2211yescharacteristic, complemented
134#14582781C2211yescharacteristic, complemented
135#14582780C2211yescharacteristic, complemented
136#14582778C2211yescharacteristic
137#14582778C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic
144#14582777C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582777C2211yescharacteristic
150#14582776C2211yescharacteristic
151#14582776C2211yescharacteristic
152#14582775C2211yescharacteristic
153#14582775C2211yescharacteristic
154#14582775C2211yescharacteristic
155#14582775C2211yescharacteristic
156#14582775C2211yescharacteristic
157#14582775C2211yescharacteristic
158#14582773C2211yescharacteristic, complemented
159#14582773C2211yescharacteristic, complemented
160#14582773C2211yescharacteristic, complemented
161#14582772C2211yescharacteristic, complemented
162#14582770C2211yescharacteristic, complemented
163#14582770C2211yescharacteristic, complemented
164#14582770C2211yescharacteristic, complemented
165#14582761C2211yescharacteristic
166#14582761C2211yescharacteristic
167#14582758C2211yescharacteristic
168#14582758C2211yescharacteristic
169#14582757C2211yescharacteristic
170#14582756C2211yescharacteristic
171#14582756C2211yescharacteristic
172C4×(C2×D43)⋊C4C2211yescharacteristic
173#14582746C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C43×#399C2211yescharacteristic
177C43×#398C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#395C2211yescharacteristic, complemented
180C43×#393C2211yescharacteristic
181C43×#393C2211yescharacteristic, complemented
182C43×#391C2211yescharacteristic, complemented
183C43×#390C2211yescharacteristic
184C43×#387C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#385C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C2×#10621902—24no—
191C2×#10621902—42no—
192C2×#10621902—42no—
193C2×#10621898—24no—
194C2×#10621898—42no—
195C2×#10621898—42no—
196C22×Dic86C2311yescharacteristic
197C22×Dic86C2311yescharacteristic
198C22×Dic86C2311yescharacteristic
199C22×Dic86C2311yescharacteristic
200C2×Q8×D43—24no—
201C2×Q8×D43—42no—
202C2×Q8×D43—42no—
203C22×D172C2311yescharacteristic
204C22×D172C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C22×C22⋊D43C2311yescharacteristic
217C22×C22⋊D43C2311yescharacteristic
218C22×C22⋊D43C2311yescharacteristic
219C22×C22⋊D43C2311yescharacteristic
220C23×Dic43C2311yescharacteristic
221C22×C4×D43—24no—
222C22×C4×D43—42no—
223C22×C4×D43—42no—
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235#13063314—42no—
236#13063313—42no—
237#13063311—42no—
238#13063311—42no—
239#13063310—42no—
240#13063310—42no—
241#13063310—42no—
242#13063307—42no—
243#13063305—24no—
244#13063304—24no—
245#13063303—24no—
246#13063303—24no—
247#13063303—24no—
248#13063303—24no—
249#13063302—24no—
250#13063302—24no—
251#13063301—24no—
252#13063301—24no—
253#13063300—24no—
254#13063300—24no—
255#13063300—24no—
256#13063300—42no—
257#13063299—24no—
258#13063299—42no—
259#13063298—24no—
260#13063298—24no—
261#13063298—24no—
262#13063298—24no—
263#13063298—42no—
264#13063297—42no—
265#13063295—42no—
266#13063295—42no—
267#13063295—42no—
268#13063293—42no—
269C2×C4⋊Dic43C2311yescharacteristic
270C2×C4⋊Dic43C2311yescharacteristic
271C2×C4⋊Dic43C2311yescharacteristic
272C2×C4⋊Dic43C2311yescharacteristic
273C2×C4⋊Dic43C2311yescharacteristic
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
286C2×Dic43⋊C4C2311yescharacteristic
287C2×Dic43⋊C4C2311yescharacteristic
288C4⋊C4×D43—24no—
289C4⋊C4×D43—24no—
290C4⋊C4×D43D418yescomplemented
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
296C2×C22⋊Dic43C2311yescharacteristic
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×(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×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C2×(C2×D43)⋊C4C2311yescharacteristic
332C2×(C2×D43)⋊C4C2311yescharacteristic
333C22⋊C4×D43—24no—
334C22⋊C4×D43—24no—
335C2×C4×Dic43C2311yescharacteristic
336C2×C4×Dic43C2311yescharacteristic
337C2×C4×Dic43C2311yescharacteristic
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
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C22×Q8×C43C2311yescharacteristic
361C22×Q8×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C23×C4×C43C2311yescharacteristic
365C22⋊Q8×C43—24no—
366C22⋊Q8×C43—24no—
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C4⋊C4×C43C2311yescharacteristic
375C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C42×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C23×D43—22no—
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43C2411yescharacteristic
407C23×D43C2411yescharacteristic
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C2×Q8×C43—22no—
412C2×Q8×C43—22no—
413C2×Q8×C43—22no—
414C2×Q8×C43—41no—
415C2×Q8×C43—41no—
416C2×Q8×C43—41no—
417C2×D4×C43—22no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C22×C4×C43—22no—
421C22×C4×C43—22no—
422C22×C4×C43—22no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
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
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—22no—
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—
463C22×Dic43—22no—
464C22×Dic43—22no—
465C22×Dic43—41no—
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477#10621902—416no—
478Q8×D43—416no—
479#10621898—416no—
480C2×D172—22no—
481C2×D172—22no—
482C2×D172—22no—
483C2×D172—22no—
484C2×D172—22no—
485C2×D172—22no—
486C2×D172—22no—
487C2×D172—22no—
488C2×D172—22no—
489C2×D172—22no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—41no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×D172—41no—
501C2×D172—41no—
502C2×D172—41no—
503C2×D172—41no—
504C2×D172—41no—
505C2×D172—41no—
506C2×D172—41no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—41no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—416no—
538C2×C4×D43C2×D414yes—
539C2×C4×D43C2×D414yes—
540C2×C4×D43C2×D414yes—
541C2×Dic86—22no—
542C2×Dic86—22no—
543C2×Dic86—22no—
544C2×Dic86—22no—
545C2×Dic86—22no—
546C2×Dic86—22no—
547C2×Dic86—22no—
548C2×Dic86—41no—
549C2×Dic86—41no—
550C2×Dic86—41no—
551C2×Dic86—41no—
552C2×Dic86—41no—
553C4⋊C4×C43—22no—
554C4⋊C4×C43—22no—
555C4⋊C4×C43—22no—
556C4⋊C4×C43—22no—
557C4⋊C4×C43—41no—
558C4⋊C4×C43—41no—
559C4⋊C4×C43—41no—
560C4⋊C4×C43—41no—
561C4⋊C4×C43C2×D414yes—
562C22⋊C4×C43—22no—
563C22⋊C4×C43—22no—
564C22⋊C4×C43—22no—
565C22⋊C4×C43—22no—
566C22⋊C4×C43—22no—
567C22⋊C4×C43—41no—
568C22⋊C4×C43—41no—
569C22⋊C4×C43—41no—
570C22⋊C4×C43—41no—
571C22⋊C4×C43—41no—
572C42×C43—41no—
573C22⋊Dic43—22no—
574C22⋊Dic43—22no—
575C22⋊Dic43—22no—
576C22⋊Dic43—41no—
577C22⋊Dic43—41no—
578C22⋊Dic43—41no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—22no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4—41no—
610(C2×D43)⋊C4—41no—
611(C2×D43)⋊C4—41no—
612(C2×D43)⋊C4—41no—
613(C2×D43)⋊C4—41no—
614(C2×D43)⋊C4—41no—
615C4⋊Dic43—22no—
616C4⋊Dic43—22no—
617C4⋊Dic43—41no—
618C4⋊Dic43—41no—
619C4⋊Dic43C2×D414yes—
620Dic43⋊C4—22no—
621Dic43⋊C4—22no—
622Dic43⋊C4—22no—
623Dic43⋊C4—22no—
624Dic43⋊C4—22no—
625Dic43⋊C4—22no—
626Dic43⋊C4—41no—
627Dic43⋊C4—41no—
628Dic43⋊C4—41no—
629Dic43⋊C4—41no—
630Dic43⋊C4—41no—
631Dic43⋊C4—41no—
632Dic43⋊C4C2×D414yes—
633Dic43⋊C4C2×D414yes—
634C4×Dic43—41no—
635C4×Dic43—41no—
636C4×Dic43—41no—
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×C43—21no—
650C23×C432−1+412yes—
651C23×C43C2511yescharacteristic
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—28no—
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×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—44no—
685C22×D43—44no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43C22×D412yes—
691C22×D43H(5,𝔽2)12yes—
692C22×D43H(5,𝔽2)12yes—
693C22×D432−1+412yes—
694Q8×C43—44no—
695Q8×C43—44no—
696D4×C43—82no—
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—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—44no—
733C2×C4×C43—44no—
734C2×C4×C43C22×D412yes—
735C2×C4×C43C22×D412yes—
736C2×C4×C43C22×D412yes—
737C2×C4×C43H(5,𝔽2)12yes—
738C22⋊D43—44no—
739C22⋊D43—44no—
740C22⋊D43—82no—
741C22⋊D43—82no—
742C22⋊D43—82no—
743C22⋊D43—82no—
744C22⋊D43—82no—
745C22⋊D43—82no—
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—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—44no—
776C2×Dic43C22×D412yes—
777C2×Dic43C22×D412yes—
778C2×Dic43C22×D412yes—
779C2×Dic43H(5,𝔽2)12yes—
780D172—44no—
781D172—44no—
782D172—44no—
783D172—44no—
784D172—82no—
785D172—82no—
786D172—82no—
787D172—82no—
788D172—82no—
789C4×D43—28no—
790C4×D43—28no—
791C4×D43—44no—
792C4×D43—44no—
793C4×D43—44no—
794C4×D43—44no—
795C4×D43—44no—
796C4×D43—44no—
797C4×D43—44no—
798C4×D43—44no—
799C4×D43—44no—
800Dic86—44no—
801Dic86—44no—
802Dic86—44no—
803Dic86—44no—
804#36707—431nomaximal, Sylow
805C22×C43—22no—
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43C23×D411yescharacteristic
820C22×C43C2×H(5,𝔽2)11yescharacteristic
821C22×C43C2×H(5,𝔽2)11yescharacteristic
822C22×C43C2×H(5,𝔽2)11yescharacteristic
823C22×C43C2×H(5,𝔽2)11yescharacteristic
824C22×C43C2×2−1+411yescharacteristic
825C22×C43C2×2−1+411yescharacteristic
826C2×D43—22no—
827C2×D43—22no—
828C2×D43—22no—
829C2×D43—22no—
830C2×D43—22no—
831C2×D43—22no—
832C2×D43—22no—
833C2×D43—22no—
834C2×D43—22no—
835C2×D43—416no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43#53514yes—
862C4×C43—22no—
863C4×C43—22no—
864C4×C43—22no—
865C4×C43—22no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875Dic43—22no—
876Dic43—22no—
877Dic43—22no—
878Dic43—22no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883Dic43—41no—
884Dic43—41no—
885Dic43—41no—
886C2×#537—431no—
887C22×C22⋊Q8—431no—
888#2847—431no—
889#2847—431no—
890#2692—431no—
891#2692—431no—
892#2692—431no—
893#2692—431no—
894#2692—431no—
895#2692—431no—
896#2692—431no—
897#2692D4311yescharacteristic, complemented
898#2676—431no—
899#2676—431no—
900#2676—431no—
901#2676—431no—
902#2676—431no—
903#2676—431no—
904#2676—431no—
905#2676—431no—
906#2618—431no—
907#2618—431no—
908#2539—431no—
909#2539—431no—
910#2436—431no—
911#2436—431no—
912#2406—431no—
913#2406—431no—
914#2404—431no—
915#2404—431no—
916#2313—431no—
917C2×C43—42no—
918C2×C43—81no—
919C2×C43C2×#53511yescharacteristic
920C2×C43#348411yescharacteristic
921C2×C43#348611yescharacteristic
922C2×C43#353611yescharacteristic
923C2×C43#353611yescharacteristic
924C2×C43#353611yescharacteristic
925C2×C43#353611yescharacteristic
926D43—24no—
927D43—42no—
928D43—81no—
929D43—81no—
930D43—81no—
931C22×#41—431no—
932C22×#41—431no—
933C23×Q8—431no—
934C24×C4—431no—
935#537—868no—
936C2×#124—431no—
937C2×#124—431no—
938C2×#124—431no—
939C2×#124—431no—
940C2×#123—431no—
941C2×#123—431no—
942C2×#123—431no—
943C2×#123—431no—
944C2×C22⋊Q8—431no—
945C2×C22⋊Q8—431no—
946C2×C22⋊Q8—431no—
947C2×C22⋊Q8—431no—
948C2×C22⋊Q8—431no—
949C2×C22⋊Q8—431no—
950C2×C22⋊Q8—431no—
951C2×C22⋊Q8—431no—
952C2×C22⋊Q8—431no—
953C2×C22⋊Q8—431no—
954C2×C22⋊Q8—868no—
955C2×C22⋊Q8C2×D4311yescharacteristic
956C2×C22⋊Q8C2×D4311yescharacteristic, complemented
957C2×#121—431no—
958C2×#121—431no—
959C2×#121—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121—431no—
967C2×#121—431no—
968C2×#121—431no—
969C2×#120—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C22×C4⋊C4—431no—
974C22×C4⋊C4—431no—
975C22×C4⋊C4—431no—
976C22×C22⋊C4—431no—
977C22×C22⋊C4—431no—
978#399—431no—
979#399—431no—
980#399—431no—
981#399C2×D4311yescharacteristic
982#398—431no—
983#398—431no—
984#398—431no—
985#398C2×D4311yescharacteristic, complemented
986#396—431no—
987#396—431no—
988#396—431no—
989#396—431no—
990#396—431no—
991#396—431no—
992#396—431no—
993#396C2×D4311yescharacteristic, complemented
994#395—431no—
995#395—431no—
996#395—431no—
997#395C2×D4311yescharacteristic, complemented
998#394—431no—
999#394—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#393—431no—
1007#393—431no—
1008#393—431no—
1009#393—431no—
1010#393—431no—
1011#393—431no—
1012#393—431no—
1013#393—431no—
1014#393—431no—
1015#393—431no—
1016#393C2×D4311yescharacteristic
1017#393C2×D4311yescharacteristic, complemented
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#391—431no—
1027#391—431no—
1028#391—431no—
1029#391C2×D4311yescharacteristic, complemented
1030#390—431no—
1031#390—431no—
1032#390—431no—
1033#390—431no—
1034#390—431no—
1035#390—431no—
1036#390—431no—
1037#390C2×D4311yescharacteristic
1038#387—431no—
1039#387—431no—
1040#387—431no—
1041#387—431no—
1042#387—431no—
1043#387—431no—
1044#387—431no—
1045#387C2×D4311yescharacteristic, complemented
1046#386—431no—
1047#386—431no—
1048#386—431no—
1049#386—431no—
1050#386—431no—
1051#386—431no—
1052#386—431no—
1053#386—431no—
1054#386—431no—
1055#386—431no—
1056#386—431no—
1057#386—431no—
1058#386—431no—
1059#386—431no—
1060#386—431no—
1061#386—431no—
1062#386—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386C2×D4311yescharacteristic
1069#386C2×D4311yescharacteristic
1070#385—431no—
1071#385—431no—
1072#385—431no—
1073#385—431no—
1074#385—431no—
1075#385—431no—
1076#385—431no—
1077#385C2×D4311yescharacteristic, complemented
1078#381—431no—
1079#381—431no—
1080#380—431no—
1081#380—431no—
1082#380—431no—
1083#380—431no—
1084#380—431no—
1085#380C2×D4311yescharacteristic
1086C4×C22⋊C4—431no—
1087C4×C22⋊C4—431no—
1088C43#3670711yescharacteristic, complemented, Sylow
1089C25—431no—
1090C2×#41—864no—
1091C2×#41—864no—
1092C2×#41—1722no—
1093C2×#41—1722no—
1094C2×#41—1722no—
1095C2×#41—1722no—
1096C22×Q8—431no—
1097C22×Q8—431no—
1098C22×Q8—431no—
1099C22×Q8—431no—
1100C22×Q8—864no—
1101C22×Q8—1722no—
1102C22×Q8—1722no—
1103C22×Q8C22×D4311yescharacteristic
1104C22×Q8C22×D4311yescharacteristic
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
1122C22×D4C22×D4311yescharacteristic
1123C23×C4—431no—
1124C23×C4—431no—
1125C23×C4—431no—
1126C23×C4—431no—
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—431no—
1135C23×C4—864no—
1136C23×C4—1722no—
1137C23×C4—1722no—
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140#124—1722no—
1141#124—1722no—
1142#124—1722no—
1143#124—1722no—
1144#123—1722no—
1145#123—1722no—
1146#123—1722no—
1147#123—1722no—
1148C22⋊Q8—24no—
1149C22⋊Q8—24no—
1150C22⋊Q8—864no—
1151C22⋊Q8—864no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154C22⋊Q8—864no—
1155C22⋊Q8—864no—
1156C22⋊Q8—864no—
1157C22⋊Q8—864no—
1158C22⋊Q8—864no—
1159C22⋊Q8—864no—
1160#121—864no—
1161#121—864no—
1162#121—864no—
1163#121—864no—
1164#121—864no—
1165#121—864no—
1166#121—864no—
1167#121—864no—
1168#121—1722no—
1169#121—1722no—
1170#121—1722no—
1171#121—1722no—
1172#120—1722no—
1173#120—1722no—
1174#120—1722no—
1175#120—1722no—
1176C2×C4⋊C4—431no—
1177C2×C4⋊C4—431no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—438no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—864no—
1197C2×C4⋊C4—864no—
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C4⋊C4C22×D4311yescharacteristic
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C4⋊C4C22×D4311yescharacteristic
1205C2×C4⋊C4C22×D4311yescharacteristic
1206C2×C4⋊C4C22×D4311yescharacteristic
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—864no—
1250C2×C22⋊C4—864no—
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4C22×D4311yescharacteristic
1261C2×C42—431no—
1262C2×C42—431no—
1263C2×C42—431no—
1264C2×C42C22×D4311yescharacteristic
1265#95—431no—
1266#95—431no—
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95—431no—
1271#95—431no—
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95C22×D4311yescharacteristic
1288#95C22×D4311yescharacteristic
1289#95C22×D4311yescharacteristic
1290#95C22×D4311yescharacteristic
1291#95C22×D4311yescharacteristic
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297C24—431no—
1298C24—431no—
1299C24—431no—
1300C24—431no—
1301C24—431no—
1302C24—862no—
1303C24—862no—
1304C24—862no—
1305C24—862no—
1306C24—862no—
1307C24—1721no—
1308C24—1721no—
1309C24C23×D4311yescharacteristic
1310C24C23×D4311yescharacteristic
1311#41—17216no—
1312#41—17216no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—41no—
1317C2×Q8—41no—
1318C2×Q8—41no—
1319C2×Q8—862no—
1320C2×Q8—862no—
1321C2×Q8—862no—
1322C2×Q8—862no—
1323C2×Q8—862no—
1324C2×Q8—862no—
1325C2×Q8—862no—
1326C2×Q8—1721no—
1327C2×Q8—1721no—
1328C2×Q8—1721no—
1329C2×Q8—1721no—
1330C2×Q8—1721no—
1331C2×Q8—17216no—
1332C2×D4—22no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—862no—
1336C2×D4—862no—
1337C2×D4—862no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—862no—
1344C2×D4—862no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—1721no—
1361C2×D4—1721no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—434no—
1397C22×C4—434no—
1398C22×C4—434no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—862no—
1407C22×C4—862no—
1408C22×C4—862no—
1409C22×C4—862no—
1410C22×C4—862no—
1411C22×C4—862no—
1412C22×C4—862no—
1413C22×C4—862no—
1414C22×C4—862no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—862no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—862no—
1422C22×C4—862no—
1423C22×C4—862no—
1424C22×C4—1721no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4—1721no—
1438C22×C4—17216no—
1439C22×C4—1721no—
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C22×C4C23×D4311yescharacteristic
1450C22×C4C23×D4311yescharacteristic
1451C22×C4C23×D4311yescharacteristic
1452C22×C4C23×D4311yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—434no—
1462C4⋊C4—434no—
1463C4⋊C4—434no—
1464C4⋊C4—862no—
1465C4⋊C4—862no—
1466C4⋊C4—862no—
1467C4⋊C4—862no—
1468C4⋊C4—862no—
1469C4⋊C4—862no—
1470C4⋊C4—862no—
1471C4⋊C4—862no—
1472C4⋊C4—1721no—
1473C4⋊C4—1721no—
1474C4⋊C4—1721no—
1475C4⋊C4—1721no—
1476C4⋊C4—1721no—
1477C4⋊C4—1721no—
1478C4⋊C4—1721no—
1479C4⋊C4—1721no—
1480C4⋊C4D4×D4314yes—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—862no—
1505C22⋊C4—862no—
1506C22⋊C4—862no—
1507C22⋊C4—862no—
1508C22⋊C4—862no—
1509C22⋊C4—862no—
1510C22⋊C4—862no—
1511C22⋊C4—862no—
1512C22⋊C4—862no—
1513C22⋊C4—862no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4—1721no—
1532C22⋊C4—1721no—
1533C42—41no—
1534C42—1721no—
1535C42—1721no—
1536C42—1721no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—432no—
1551C23—432no—
1552C23—432no—
1553C23—432no—
1554C23—868no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—861no—
1559C23—861no—
1560C23—861no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—861no—
1567C23—861no—
1568C23—861no—
1569C23—861no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—1724no—
1587C23—1724no—
1588C23—1724no—
1589C23—1724no—
1590C23—1724no—
1591C23—1724no—
1592C23#1306337312yes—
1593C23C24×D4311yescharacteristic
1594Q8—44no—
1595Q8—44no—
1596Q8—1724no—
1597Q8—1724no—
1598Q8—1724no—
1599Q8—1724no—
1600D4—82no—
1601D4—3442no—
1602D4—3442no—
1603D4—3442no—
1604D4—3442no—
1605D4—3442no—
1606D4—3442no—
1607D4—3442no—
1608D4—3442no—
1609D4—3442no—
1610D4—3442no—
1611D4—3442no—
1612D4—1724no—
1613D4—1724no—
1614D4—1724no—
1615D4—1724no—
1616D4—1724no—
1617D4—1724no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—432no—
1656C2×C4—432no—
1657C2×C4—432no—
1658C2×C4—432no—
1659C2×C4—868no—
1660C2×C4—868no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—1724no—
1691C2×C4—1724no—
1692C2×C4—1724no—
1693C2×C4—1724no—
1694C2×C4—1724no—
1695C2×C4—1724no—
1696C2×C4—1724no—
1697C2×C4—1724no—
1698C2×C4—1724no—
1699C2×C4—1724no—
1700C2×C4C2×D4×D4312yes—
1701C2×C4C2×D4×D4312yes—
1702C2×C4C2×D4×D4312yes—
1703C2×C4#1306337112yes—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—434no—
1719C22—862no—
1720C22—862no—
1721C22—862no—
1722C22—862no—
1723C22—862no—
1724C22—862no—
1725C22—862no—
1726C22—862no—
1727C22—862no—
1728C22—17216no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22C22×D4×D4311yescharacteristic
1755C22H(5,𝔽2)×D4311yescharacteristic
1756C22H(5,𝔽2)×D4311yescharacteristic
1757C22H(5,𝔽2)×D4311yescharacteristic
1758C22C2×#1306337111yescharacteristic
1759C222−1+4×D4311yescharacteristic
1760C22C2×#1306337311yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—862no—
1775C4—862no—
1776C4—862no—
1777C4—862no—
1778C4—1721no—
1779C4—1721no—
1780C4—1721no—
1781C4—1721no—
1782C4—1721no—
1783C4—1721no—
1784C4—1721no—
1785C2—42no—
1786C2—81no—
1787C2—864no—
1788C2—3441no—
1789C2—3441no—
1790C2—3441no—
1791C2—1722no—
1792C2#535×D4311yescharacteristic
1793C2#1914822511yescharacteristic
1794C2#1914824511yescharacteristic
1795C2#1914881411yescharacteristic
1796C2#1914882011yescharacteristic
1797C2#1914882111yescharacteristic
1798C2#1914882311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2692C2
hypercenter#2692D43
hypocenterC43#36707
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. C2×#14583479C2semidirect
2. C2×C22⋊Q8×D43C2semidirect
3. #19142878C2semidirect
4. #19142876C2semidirect
5. #19141098C2semidirect
6. #19141096C2semidirect
7. #19141093C2semidirect
8. #19141091C2semidirect
9. #19141086C2semidirect
10. #19141085C2semidirect
11. #19141084C2semidirect
12. #19140902C2semidirect
13. #19140900C2semidirect
14. #19140899C2semidirect
15. #19140897C2semidirect
16. #19140895C2semidirect
17. #19140894C2semidirect
18. #19140893C2semidirect
19. #19140892C2semidirect
20. #19140342C2semidirect
21. #19140338C2semidirect
22. #19139524C2semidirect
23. #19139522C2semidirect
24. #19138252C2semidirect
25. #19138248C2semidirect
26. #19137931C2semidirect
27. #19137928C2semidirect
28. #19137915C2semidirect
29. #19137912C2semidirect
30. #19137194C2semidirect
31. C43×#2692C2semidirect
37. C2×#13063314C22semidirect
38. C2×#13063313C22semidirect
39. C2×#13063311C22semidirect
40. C2×#13063311C22semidirect
49. C2×#13063303C22semidirect
50. C2×#13063303C22semidirect
54. C2×#13063301C22semidirect
59. C2×#13063300C22semidirect
61. C2×#13063299C22semidirect
65. C2×#13063298C22semidirect
66. C2×#13063298C22semidirect
80. #14582833C22semidirect
81. #14582832C22semidirect
82. #14582830C22semidirect
83. #14582823C22semidirect
84. #14582823C22semidirect
85. #14582822C22semidirect
86. #14582821C22semidirect
87. #14582821C22semidirect
88. #14582821C22semidirect
89. #14582821C22semidirect
90. #14582820C22semidirect
91. #14582819C22semidirect
92. #14582818C22semidirect
93. #14582817C22semidirect
94. #14582817C22semidirect
95. #14582816C22semidirect
96. #14582816C22semidirect
97. #14582815C22semidirect
98. #14582815C22semidirect
99. #14582814C22semidirect
100. #14582814C22semidirect
102. #14582812C22semidirect
103. #14582812C22semidirect
104. #14582812C22semidirect
105. #14582812C22semidirect
106. #14582812C22semidirect
108. #14582811C22semidirect
110. #14582810C22semidirect
119. #14582804C22semidirect
120. #14582803C22semidirect
121. #14582803C22semidirect
129. #14582786C22semidirect
130. #14582785C22semidirect
131. #14582784C22semidirect
132. #14582783C22semidirect
133. #14582782C22semidirect
134. #14582781C22semidirect
135. #14582780C22semidirect
158. #14582773C22semidirect
159. #14582773C22semidirect
160. #14582773C22semidirect
161. #14582772C22semidirect
162. #14582770C22semidirect
163. #14582770C22semidirect
164. #14582770C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
177. C43×#398C22semidirect
178. C43×#396C22semidirect
179. C43×#395C22semidirect
181. C43×#393C22semidirect
182. C43×#391C22semidirect
184. C43×#387C22semidirect
187. C43×#385C22semidirect
290. C4⋊C4×D43D4semidirect
897. #2692D43semidirect
956. C2×C22⋊Q8C2×D43semidirect
985. #398C2×D43semidirect
993. #396C2×D43semidirect
997. #395C2×D43semidirect
1017. #393C2×D43semidirect
1029. #391C2×D43semidirect
1045. #387C2×D43semidirect
1077. #385C2×D43semidirect
1088. C43#36707semidirect

Maximal subgroups

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

subgroupindex
C2×#145834792
C2×C22⋊Q8×D432
#191428782
#191428762
#191410982
#191410962
#191410932
#191410912
#191410862
#191410852
#191410842
#191409022
#191409002
#191408992
#191408972
#191408952
#191408942
#191408932
#191408922
#191403422
#191403382
#191395242
#191395222
#191382522
#191382482
#191379312
#191379282
#191379152
#191379122
#191371942
C43×#26922
#3670743