Finite Group Databasebeta

← #33962940

Subgroups — #33962940

Order 18688.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623485C211yesmaximal, characteristic, complemented
2#41×C22⋊D73C211yesmaximal, characteristic, complemented
3#22622265C211yesmaximal, characteristic, complemented
4#22622254C211yesmaximal, characteristic, complemented
5#22622243C211yesmaximal, characteristic, complemented
6#22622232C211yesmaximal, characteristic, complemented
7#22622221C211yesmaximal, characteristic, complemented
8#22622210C211yesmaximal, characteristic, complemented
9#22622200C211yesmaximal, characteristic, complemented
10#22622195C211yesmaximal, characteristic, complemented
11#22622185C211yesmaximal, characteristic, complemented
12#22622180C211yesmaximal, characteristic, complemented
13#22622169C211yesmaximal, characteristic, complemented
14#22622158C211yesmaximal, characteristic, complemented
15#22622148C211yesmaximal, characteristic, complemented
16#22622143C211yesmaximal, characteristic, complemented
17#22622133C211yesmaximal, characteristic, complemented
18#22622128C211yesmaximal, characteristic, complemented
19#22620251C211yesmaximal, characteristic, complemented
20#22619844C211yesmaximal, characteristic, complemented
21#22619842C211yesmaximal, characteristic, complemented
22#22619715C211yesmaximal, characteristic, complemented
23#22619540C211yesmaximal, characteristic, complemented
24#22619539C211yesmaximal, characteristic, complemented
25#22619384C211yesmaximal, characteristic, complemented
26#22619151C211yesmaximal, characteristic, complemented
27#22619149C211yesmaximal, characteristic, complemented
28#22618699C211yesmaximal, characteristic, complemented
29C2×#17988663C211yesmaximal, characteristic, complemented
30#22618446C211yesmaximal, characteristic, complemented
31C73×#2896C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#14556613C2211yescharacteristic, complemented
34C2×#14556611C2211yescharacteristic
35C2×#14556611C2211yescharacteristic, complemented
36C22×#11924011C2211yescharacteristic, complemented
37#17989305C2211yescharacteristic
38#17989300C2211yescharacteristic
39#17989292C2211yescharacteristic, complemented
40#17989285C2211yescharacteristic, complemented
41#17989281C2211yescharacteristic, complemented
42#17989276C2211yescharacteristic, complemented
43#17989272C2211yescharacteristic, complemented
44#17989270—21no—
45#17989263—21no—
46#17989261—21no—
47#17989256C2211yescharacteristic
48Q8×C22⋊D73C2211yescharacteristic
49#17989248C2211yescharacteristic
50#17989244C2211yescharacteristic
51#17989238C2211yescharacteristic, complemented
52#17989236—21no—
53#17989236C2211yescharacteristic
54#17989231—21no—
55#17989231C2211yescharacteristic
56#17989227—21no—
57#17989225—21no—
58#17989225C2211yescharacteristic
59D4×C22⋊D73—21no—
60D4×C22⋊D73C2211yescharacteristic
61#17989140C2211yescharacteristic, complemented
62#17989133—21no—
63#17989133C2211yescharacteristic
64#17989121—21no—
65#17989115—21no—
66#17989115—21no—
67#17989099C2211yescharacteristic, complemented
68#17989098—21no—
69#17989098C2211yescharacteristic
70#17989098C2211yescharacteristic, complemented
71#17989094—21no—
72#17989094C2211yescharacteristic
73#41×Dic73C2211yescharacteristic
74C4×#11924028—21no—
75#17989055C2211yescharacteristic, complemented
76C2×C4×C22⋊D73—21no—
77C2×C4×C22⋊D73C2211yescharacteristic
78#117×D73C2211yescharacteristic, complemented
79#17988943C2211yescharacteristic, complemented
80#17988943C2211yescharacteristic, complemented
81#17988940C2211yescharacteristic, complemented
82#17988940C2211yescharacteristic, complemented
83#17988936C2211yescharacteristic, complemented
84#17988936C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988928C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988905C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic, complemented
101#17988900C2211yescharacteristic, complemented
102#17988899C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988889C2211yescharacteristic, complemented
106#17988885C2211yescharacteristic, complemented
107#17988880C2211yescharacteristic, complemented
108#17988875C2211yescharacteristic, complemented
109#17988870C2211yescharacteristic, complemented
110#17988865C2211yescharacteristic, complemented
111#17988845C2211yescharacteristic, complemented
112#17988845C2211yescharacteristic, complemented
113#17988844C2211yescharacteristic, complemented
114#17988844C2211yescharacteristic, complemented
115#17988840C2211yescharacteristic, complemented
116#17988840C2211yescharacteristic, complemented
117#17988839C2211yescharacteristic, complemented
118#17988839C2211yescharacteristic, complemented
119#17988836C2211yescharacteristic, complemented
120#17988836C2211yescharacteristic, complemented
121#17988833C2211yescharacteristic, complemented
122#17988833C2211yescharacteristic, complemented
123#17988833C2211yescharacteristic, complemented
124#17988833C2211yescharacteristic, complemented
125#17988832C2211yescharacteristic, complemented
126#17988832C2211yescharacteristic, complemented
127#17988812C2211yescharacteristic, complemented
128#17988808C2211yescharacteristic, complemented
129#17988805C2211yescharacteristic, complemented
130#17988801C2211yescharacteristic, complemented
131#17988796C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988786C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988752C2211yescharacteristic, complemented
136#17988750C2211yescharacteristic, complemented
137#17988749C2211yescharacteristic, complemented
138#17988749C2211yescharacteristic, complemented
139#17988744C2211yescharacteristic, complemented
140#17988743C2211yescharacteristic, complemented
141#17988739C2211yescharacteristic, complemented
142#17988738C2211yescharacteristic, complemented
143#17988735C2211yescharacteristic, complemented
144#17988733C2211yescharacteristic, complemented
145#17988732C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988727C2211yescharacteristic, complemented
148#17988726C2211yescharacteristic, complemented
149#17988722C2211yescharacteristic, complemented
150#17988721C2211yescharacteristic, complemented
151#17988679C2211yescharacteristic, complemented
152#17988679C2211yescharacteristic, complemented
153#17988678C2211yescharacteristic, complemented
154#17988678C2211yescharacteristic, complemented
155#17988672C2211yescharacteristic, complemented
156#17988672C2211yescharacteristic, complemented
157#17988667C2211yescharacteristic, complemented
158#17988667C2211yescharacteristic, complemented
159#17988663C2211yescharacteristic
160#17988663C2211yescharacteristic
161#17988663C2211yescharacteristic, complemented
162#17988663C2211yescharacteristic, complemented
163#17988663C2211yescharacteristic, complemented
164#17988663C2211yescharacteristic, complemented
165#17988663C2211yescharacteristic, complemented
166#17988663C2211yescharacteristic, complemented
167#17988625C2211yescharacteristic, complemented
168#17988623C2211yescharacteristic, complemented
169#17988623C2211yescharacteristic, complemented
170C2×#14556520C2211yescharacteristic, complemented
171#17988594C2211yescharacteristic, complemented
172#17988594C2211yescharacteristic, complemented
173#17988590C2211yescharacteristic, complemented
174#17988590C2211yescharacteristic, complemented
175#17988587C2211yescharacteristic, complemented
176#17988587C2211yescharacteristic, complemented
177#17988585C2211yescharacteristic, complemented
178#17988585C2211yescharacteristic, complemented
179#17988584C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic
182#17988583C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic, complemented
184#17988581C2211yescharacteristic, complemented
185C2×C22⋊#10596831C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188C22×#41×C73C2211yescharacteristic
189C22×M16×C73C2211yescharacteristic, complemented
190C2×#117×C73C2211yescharacteristic, complemented
191#419×C73C2211yescharacteristic, complemented
192#419×C73C2211yescharacteristic, complemented
193#418×C73C2211yescharacteristic, complemented
194#418×C73C2211yescharacteristic, complemented
195#417×C73C2211yescharacteristic, complemented
196#417×C73C2211yescharacteristic, complemented
197#417×C73C2211yescharacteristic, complemented
198#417×C73C2211yescharacteristic, complemented
199#416×C73C2211yescharacteristic
200#416×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210#41×D73—24no—
211#41×D73—42no—
212C2×Q8×D73C2311yescharacteristic
213C22×C22⋊D73—21no—
214C22×C22⋊D73D411yescharacteristic
215C2×D4×D73—21no—
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218C22×C4×D73C2311yescharacteristic
219#14556613—42no—
220#14556611—24no—
221#14556611—42no—
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924011—42no—
235C2×#11924011C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C22×#10596831C2311yescharacteristic
240C22×#10596831C2311yescharacteristic
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589—21no—
244#14556589C2311yescharacteristic
245#14556587—21no—
246#14556587C2311yescharacteristic
247#14556586—21no—
248#14556586—21no—
249#14556585—21no—
250#14556585—21no—
251#14556584—21no—
252#14556584—21no—
253#14556583—21no—
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556578—21no—
262#14556578C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556574—21no—
269#14556574—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570—21no—
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556568—21no—
291#14556568—21no—
292#14556567—21no—
293#14556567—21no—
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556562—21no—
314#14556562—21no—
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556560—21no—
319#14556560—21no—
320#14556560—21no—
321#14556560—21no—
322#14556559—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73D411yescharacteristic
356C4×C22⋊D73D411yescharacteristic
357C4×C22⋊D73D411yescharacteristic
358C4×C22⋊D73D411yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556550—21no—
366#14556550—21no—
367#14556550C2311yescharacteristic
368#14556550C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556548—21no—
372#14556548—21no—
373#14556548—21no—
374#14556548—21no—
375#14556547—21no—
376C2×#11924007—21no—
377C2×#11924007D411yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C2×C22⋊Dic73—21no—
381C2×C22⋊Dic73D411yescharacteristic
382C2×#11924005—21no—
383C2×#11924005D411yescharacteristic
384C22⋊C4×D73—21no—
385C2×C4×Dic73—21no—
386C2×C4×Dic73C2311yescharacteristic
387C42×D73—21no—
388C42×D73—21no—
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556523C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73—21no—
442C2×#41×C73—21no—
443C2×#41×C73—24no—
444C2×#41×C73—42no—
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×Q8×C73C2311yescharacteristic
450C22×D4×C73—21no—
451C22×D4×C73C2311yescharacteristic
452C23×C4×C73—21no—
453C23×C4×C73C2311yescharacteristic
454C2×M16×C73—42no—
455C2×M16×C73C2311yescharacteristic
456C2×M16×C73C2311yescharacteristic
457C2×M16×C73C2311yescharacteristic
458C2×M16×C73C2311yescharacteristic
459C22×C8×C73C2311yescharacteristic
460C22×C8×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466#117×C73C2311yescharacteristic
467C2×C4⋊C4×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470C2×C42×C73—21no—
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73C2×D411yescharacteristic
489#11924029—22no—
490#11924029—41no—
491#11924028—22no—
492#11924028—22no—
493#11924028—22no—
494#11924028—22no—
495#11924028—44no—
496#11924028—44no—
497#11924027—22no—
498#11924027—41no—
499#11924027—44no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505Q8×D73—22no—
506Q8×D73—41no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—42no—
525C2×C22⋊D73—44no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528C2×C22⋊D73C2×D411yescharacteristic
529C2×C22⋊D73C2×D411yescharacteristic
530D4×D73—22no—
531D4×D73—41no—
532D4×D73—44no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73C2×D411yescharacteristic
537C22×Dic73C2×D411yescharacteristic
538C22×Dic73C2×D411yescharacteristic
539C2×C4×D73—22no—
540C2×C4×D73—22no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—44no—
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554Dic292—41no—
555#11924018—22no—
556#11924018—41no—
557#11924017—41no—
558#11924017—41no—
559#11924016—22no—
560#11924016—41no—
561#11924015—22no—
562#11924015—41no—
563D584—41no—
564#11924013—22no—
565#11924013—41no—
566#11924011—41no—
567#11924011—41no—
568#11924011—41no—
569#11924011—41no—
570C2×#10596831—22no—
571C2×#10596831—22no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73C2×D411yescharacteristic
619C22⋊Dic73C2×D411yescharacteristic
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C24×C73—21no—
655C24×C73C2×D411yescharacteristic
656#41×C73—22no—
657#41×C73—22no—
658#41×C73—22no—
659#41×C73—22no—
660#41×C73—22no—
661#41×C73—44no—
662#41×C73—41no—
663#41×C73—41no—
664#41×C73—44no—
665#41×C73#4114yescomplemented
666C2×Q8×C73—21no—
667C2×Q8×C73—22no—
668C2×Q8×C73—41no—
669C2×Q8×C73C2411yescharacteristic
670C2×Q8×C73C2411yescharacteristic
671C2×D4×C73—21no—
672C2×D4×C73—22no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—41no—
678C2×D4×C73—44no—
679C2×D4×C73C2411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C22×C4×C73—21no—
682C22×C4×C73—22no—
683C22×C4×C73—22no—
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73—21no—
688C22×C4×C73—21no—
689C22×C4×C73—21no—
690C22×C4×C73—44no—
691C22×C4×C73C2×D411yescharacteristic
692C22×C4×C73C2×D411yescharacteristic
693C22×C4×C73C2×D411yescharacteristic
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2411yescharacteristic
696C22×C4×C73C2411yescharacteristic
697M16×C73—41no—
698M16×C73—41no—
699M16×C73—41no—
700M16×C73—41no—
701C2×C8×C73—22no—
702C2×C8×C73—22no—
703C2×C8×C73C2411yescharacteristic
704C2×C8×C73C2411yescharacteristic
705C2×C8×C73C2411yescharacteristic
706C2×C8×C73C2411yescharacteristic
707C4⋊C4×C73—21no—
708C4⋊C4×C73—21no—
709C4⋊C4×C73C2411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
712C4⋊C4×C73C2411yescharacteristic
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C42×C73—21no—
718C42×C73—21no—
719C42×C73—21no—
720C42×C73—21no—
721C23×C73—21no—
722C23×C73—22no—
723C23×C73—21no—
724C23×C73—41no—
725C23×C73—41no—
726C23×C73—42no—
727C23×C73—42no—
728C23×C73—81no—
729C23×C73C22×D411yescharacteristic
730C23×C73C22×D411yescharacteristic
731C23×C73C22×D411yescharacteristic
732C22×D73—22no—
733C22×D73—21no—
734C22×D73—21no—
735C22×D73—41no—
736C22×D73—41no—
737C22×D73—42no—
738C22×D73—42no—
739C22×D73—81no—
740C22×D73C22×D411yescharacteristic
741C22×D73C22×D411yescharacteristic
742Q8×C73—21no—
743Q8×C73—21no—
744Q8×C73—21no—
745Q8×C73—42no—
746Q8×C73C2×#4112yes—
747D4×C73—24no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—42no—
752D4×C73—42no—
753D4×C73—42no—
754D4×C73—42no—
755D4×C73C2×#4112yes—
756C2×C4×C73—22no—
757C2×C4×C73—21no—
758C2×C4×C73—22no—
759C2×C4×C73—22no—
760C2×C4×C73—24no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—42no—
771C2×C4×C73—42no—
772C2×C4×C73—42no—
773C2×C4×C73—42no—
774C2×C4×C73—42no—
775C2×C4×C73—81no—
776C2×C4×C73C22×D411yescharacteristic
777C2×C4×C73C22×D411yescharacteristic
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C2×#4112yes—
780C2×C4×C73H(5,𝔽2)12yes—
781C2×C4×C73C2511yescharacteristic
782C22⋊D73—22no—
783C22⋊D73—22no—
784C22⋊D73—41no—
785C22⋊D73—41no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C2×Dic73—22no—
799C2×Dic73—22no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—41no—
807C2×Dic73—42no—
808C2×Dic73—42no—
809C2×Dic73—81no—
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816D292—21no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—42no—
821D292—42no—
822D292—81no—
823C4×D73—22no—
824C4×D73—22no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—21no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—81no—
836C4×D73—81no—
837Dic146—21no—
838Dic146—21no—
839Dic146—21no—
840Dic146—21no—
841Dic146—42no—
842Dic146—42no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—22no—
857C22×C73—21no—
858C22×C73—21no—
859C22×C73—21no—
860C22×C73—21no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—82no—
867C22×C73—84no—
868C22×C73#54612yes—
869C22×C73C23×D411yescharacteristic
870C2×D73—21no—
871C2×D73—21no—
872C2×D73—21no—
873C2×D73—21no—
874C2×D73—21no—
875C2×D73—21no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—82no—
883C2×D73—84no—
884C4×C73—22no—
885C4×C73—21no—
886C4×C73—21no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73#54612yes—
893C4×C73C22×#4111yescharacteristic
894C4×C73C2×H(5,𝔽2)11yescharacteristic
895Dic73—21no—
896Dic73—21no—
897Dic73—21no—
898Dic73—21no—
899Dic73—21no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73#57512yes—
907#61154—731nomaximal, Sylow
908C2×C73—22no—
909C2×C73—42no—
910C2×C73—41no—
911C2×C73—41no—
912C2×C73—81no—
913C2×C73C2×#54611yescharacteristic
914C2×C73C2×#57511yescharacteristic
915C2×C73#358411yescharacteristic
916D73—41no—
917D73—41no—
918D73—81no—
919D73—81no—
920#3475—731no—
921D4×#41—731no—
922#3333—731no—
923#3332—731no—
924#3331—731no—
925#3330—731no—
926#3329—731no—
927#3328—731no—
928#3327—731no—
929#3327—731no—
930#3326—731no—
931#3326—731no—
932#3325—731no—
933#3324—731no—
934#3323—731no—
935#3323—731no—
936#3322—731no—
937#3322—731no—
938#3131—731no—
939#3091—731no—
940#3091—731no—
941#3076—731no—
942#3054—731no—
943#3054—731no—
944#3035—731no—
945#3002—731no—
946#3002—731no—
947C4×#135—731no—
948C2×#436—731no—
949#2896—731no—
950#2896D7311yescharacteristic, complemented
951C73#6115411yescharacteristic, complemented, Sylow
952C22×#41—731no—
953C22×#41C2×D7311yescharacteristic
954C2×#135—731no—
955C2×#135—731no—
956C2×#135—731no—
957C22×M16—731no—
958C22×M16C2×D7311yescharacteristic, complemented
959#556—731no—
960#555—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#552—731no—
965#552—731no—
966#552—1461no—
967#551—1461no—
968#551—1461no—
969#550—731no—
970D4×Q8—731no—
971#548—731no—
972#548—731no—
973#547—731no—
974#547—731no—
975#547—1461no—
976#546—731no—
977#546—731no—
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—1461no—
983#533—731no—
984#532—731no—
985#532—1461no—
986#529—1461no—
987#529—1461no—
988#529—1461no—
989#525—731no—
990#525—731no—
991#525—731no—
992#525—731no—
993#525—1461no—
994#525—1461no—
995C4×#41—731no—
996C4×#41—731no—
997C4×#41—1461no—
998C2×C4×D4—731no—
999C2×C4×D4—1461no—
1000C2×#117—731no—
1001C2×#117C2×D7311yescharacteristic, complemented
1002#488—731no—
1003#488—731no—
1004#488—731no—
1005#488—731no—
1006#487—731no—
1007#487—731no—
1008#486—731no—
1009#486—731no—
1010#485—731no—
1011#485—731no—
1012#485—731no—
1013#485—731no—
1014#484—731no—
1015#484—731no—
1016#483—731no—
1017#483—731no—
1018#482—731no—
1019#482—731no—
1020#482—731no—
1021#482—731no—
1022#481—731no—
1023#481—731no—
1024#480—731no—
1025#480—731no—
1026#479—731no—
1027#479—731no—
1028#478—731no—
1029#478—731no—
1030#477—731no—
1031#476—731no—
1032#475—731no—
1033#474—731no—
1034#470—731no—
1035#470—731no—
1036#470—731no—
1037#470—731no—
1038#469—731no—
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468—731no—
1043#468—731no—
1044#468—731no—
1045#468—731no—
1046#468—731no—
1047#468—731no—
1048#468—731no—
1049#468—731no—
1050#464—731no—
1051#464—731no—
1052#463—731no—
1053#463—731no—
1054#462—731no—
1055#461—731no—
1056#460—731no—
1057#459—731no—
1058#452—731no—
1059#452—731no—
1060#452—731no—
1061#452—731no—
1062#451—731no—
1063#451—731no—
1064#450—731no—
1065#450—731no—
1066#449—731no—
1067#449—731no—
1068#449—731no—
1069#449—731no—
1070#448—731no—
1071#448—731no—
1072#447—731no—
1073#447—731no—
1074C4×Q16—731no—
1075C4×Q16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×SD16—731no—
1079C4×SD16—731no—
1080C4×D8—731no—
1081C4×D8—731no—
1082#436—731no—
1083#436—731no—
1084#436—731no—
1085#436—731no—
1086#436—731no—
1087#436—731no—
1088#436—731no—
1089#436—731no—
1090#427—731no—
1091#427—731no—
1092#427—731no—
1093C2×C4⋊C8—731no—
1094#419—731no—
1095#419—731no—
1096#419C2×D7311yescharacteristic, complemented
1097#419C2×D7311yescharacteristic, complemented
1098#418—731no—
1099#418—731no—
1100#418C2×D7311yescharacteristic, complemented
1101#418C2×D7311yescharacteristic, complemented
1102#417—731no—
1103#417—731no—
1104#417—731no—
1105#417—731no—
1106#417C2×D7311yescharacteristic, complemented
1107#417C2×D7311yescharacteristic, complemented
1108#417C2×D7311yescharacteristic, complemented
1109#417C2×D7311yescharacteristic, complemented
1110#416—731no—
1111#416—731no—
1112#416—731no—
1113#416—731no—
1114#416—731no—
1115#416—731no—
1116#416C2×D7311yescharacteristic
1117#416C2×D7311yescharacteristic
1118#416C2×D7311yescharacteristic, complemented
1119#416C2×D7311yescharacteristic, complemented
1120C2×C22⋊C8—731no—
1121C2×C22⋊C8—731no—
1122C2×C4×C8—731no—
1123C2×#41—21no—
1124C2×#41—21no—
1125C2×#41—24no—
1126C2×#41—42no—
1127C2×#41—2922no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—731no—
1132C2×#41—1461no—
1133C2×#41—1461no—
1134C2×#41—1464no—
1135C2×#41—1461no—
1136C2×#41C22×D7311yescharacteristic
1137C2×#41C22×D7311yescharacteristic
1138C2×#41C22×D7311yescharacteristic
1139C2×#41C22×D7311yescharacteristic
1140C22×Q8—731no—
1141C22×Q8C22×D7311yescharacteristic
1142C22×D4—21no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4C22×D7311yescharacteristic
1148C23×C4—21no—
1149C23×C4—731no—
1150C23×C4—1461no—
1151C23×C4C22×D7311yescharacteristic
1152#135—2922no—
1153#135—2922no—
1154#135—1464no—
1155C2×Q16—731no—
1156C2×Q16—731no—
1157C2×Q16—731no—
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16—731no—
1163C2×SD16—731no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×M16—42no—
1168C2×M16—2922no—
1169C2×M16—731no—
1170C2×M16—731no—
1171C2×M16—731no—
1172C2×M16—731no—
1173C2×M16C22×D7311yescharacteristic
1174C2×M16C22×D7311yescharacteristic
1175C2×M16C22×D7311yescharacteristic
1176C2×M16C22×D7311yescharacteristic
1177C22×C8—731no—
1178C22×C8—731no—
1179C22×C8C22×D7311yescharacteristic
1180C22×C8C22×D7311yescharacteristic
1181C4⋊Q8—731no—
1182C4⋊Q8—731no—
1183C4⋊Q8—731no—
1184C4⋊Q8—1461no—
1185#127—731no—
1186#127—1461no—
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#126—1461no—
1192#126—1461no—
1193#125—731no—
1194#125—731no—
1195#125—1461no—
1196#125—1461no—
1197#125—1461no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219C22⋊Q8—731no—
1220C22⋊Q8—731no—
1221C22⋊Q8—731no—
1222C22⋊Q8—731no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—731no—
1226C22⋊Q8—731no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233C22⋊Q8—1461no—
1234C22⋊Q8—1461no—
1235C22⋊Q8—1461no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—731no—
1242#121—731no—
1243#121—731no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260#120—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—731no—
1268C4×Q8—731no—
1269C4×Q8—1461no—
1270C4×Q8—1461no—
1271C4×Q8—1461no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305#117—21no—
1306#117—21no—
1307#117—731no—
1308#117—731no—
1309#117—731no—
1310#117—731no—
1311#117—1461no—
1312#117—1461no—
1313#117—1461no—
1314#117—1461no—
1315#117—1461no—
1316#117—1461no—
1317#117—1461no—
1318#117C22×D7311yescharacteristic
1319#117C22×D7311yescharacteristic
1320#117C22×D7311yescharacteristic
1321#117C22×D7311yescharacteristic
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—1461no—
1326C2×C4⋊C4C22×D7311yescharacteristic
1327C2×C4⋊C4C22×D7311yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—731no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C42—21no—
1335C2×C42—731no—
1336C2×C42—1461no—
1337C2×C42—1461no—
1338C2×C42—1461no—
1339#107—731no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107—731no—
1345#106—731no—
1346#106—731no—
1347#106—731no—
1348#106—731no—
1349#106—731no—
1350#106—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103C22×D7311yescharacteristic
1368#103C22×D7311yescharacteristic
1369#103C22×D7311yescharacteristic
1370#103C22×D7311yescharacteristic
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#103C22×D7311yescharacteristic
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102C22×D7311yescharacteristic
1388#102C22×D7311yescharacteristic
1389#102C22×D7311yescharacteristic
1390#102C22×D7311yescharacteristic
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8—731no—
1399C22⋊C8—731no—
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C4×C8—731no—
1404C4×C8—731no—
1405C4×C8—731no—
1406C4×C8—731no—
1407C24—21no—
1408C24—731no—
1409C24—1461no—
1410C24D4×D7311yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—44no—
1417#41—41no—
1418#41—41no—
1419#41—44no—
1420#41—2924no—
1421#41—2924no—
1422#41—2924no—
1423#41—2921no—
1424#41—2921no—
1425#41—1462no—
1426#41—1462no—
1427#41—1462no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431#41#1192402814yescomplemented
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—2921no—
1436C2×Q8—731no—
1437C2×Q8—731no—
1438C2×Q8—1461no—
1439C2×Q8—1461no—
1440C2×Q8—1461no—
1441C2×Q8—1462no—
1442C2×Q8C23×D7311yescharacteristic
1443C2×Q8C23×D7311yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—41no—
1451C2×D4—44no—
1452C2×D4—2924no—
1453C2×D4—2924no—
1454C2×D4—2921no—
1455C2×D4—2922no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—731no—
1460C2×D4—731no—
1461C2×D4—731no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1462no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4C23×D7311yescharacteristic
1479C2×D4C23×D7311yescharacteristic
1480C22×C4—21no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—44no—
1490C22×C4—2924no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—731no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—731no—
1497C22×C4—731no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1462no—
1510C22×C4—1462no—
1511C22×C4D4×D7311yescharacteristic
1512C22×C4D4×D7311yescharacteristic
1513C22×C4D4×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7311yescharacteristic
1516C22×C4C23×D7311yescharacteristic
1517Q16—2921no—
1518Q16—2921no—
1519Q16—1462no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—1462no—
1525SD16—1462no—
1526D8—2921no—
1527D8—2921no—
1528D8—1462no—
1529M16—41no—
1530M16—41no—
1531M16—41no—
1532M16—41no—
1533M16—2921no—
1534M16—2921no—
1535M16—2921no—
1536M16—2921no—
1537C2×C8—22no—
1538C2×C8—22no—
1539C2×C8—731no—
1540C2×C8—731no—
1541C2×C8—731no—
1542C2×C8—731no—
1543C2×C8—1462no—
1544C2×C8—1462no—
1545C2×C8C23×D7311yescharacteristic
1546C2×C8C23×D7311yescharacteristic
1547C2×C8C23×D7311yescharacteristic
1548C2×C8C23×D7311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—731no—
1552C4⋊C4—731no—
1553C4⋊C4—731no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C4⋊C4C23×D7311yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—731no—
1590C22⋊C4—731no—
1591C22⋊C4—731no—
1592C22⋊C4—731no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—731no—
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—1461no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42—1461no—
1641C23—21no—
1642C23—22no—
1643C23—21no—
1644C23—41no—
1645C23—41no—
1646C23—42no—
1647C23—42no—
1648C23—81no—
1649C23—2922no—
1650C23—2921no—
1651C23—2921no—
1652C23—2922no—
1653C23—5841no—
1654C23—731no—
1655C23—731no—
1656C23—1461no—
1657C23—1461no—
1658C23—1462no—
1659C23C2×D4×D7311yescharacteristic
1660C23C2×D4×D7311yescharacteristic
1661C23C2×D4×D7311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—42no—
1666Q8—2922no—
1667Q8—2922no—
1668Q8—5841no—
1669Q8—1461no—
1670Q8—1461no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8C2×#1192402812yes—
1674D4—24no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—42no—
1679D4—42no—
1680D4—42no—
1681D4—42no—
1682D4—2922no—
1683D4—2922no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—2922no—
1692D4—2921no—
1693D4—2921no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—1462no—
1700D4—1462no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705D4C2×#1192402812yes—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—42no—
1721C2×C4—42no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—42no—
1725C2×C4—81no—
1726C2×C4—2922no—
1727C2×C4—2922no—
1728C2×C4—2922no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—2922no—
1732C2×C4—2922no—
1733C2×C4—2922no—
1734C2×C4—2921no—
1735C2×C4—5841no—
1736C2×C4—5841no—
1737C2×C4—5841no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—731no—
1743C2×C4—731no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4—1462no—
1751C2×C4—1462no—
1752C2×C4—1461no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1461no—
1756C2×C4—1462no—
1757C2×C4—1462no—
1758C2×C4C2×D4×D7311yescharacteristic
1759C2×C4C2×D4×D7311yescharacteristic
1760C2×C4C2×D4×D7311yescharacteristic
1761C2×C4C2×#1192402812yes—
1762C2×C4#1455663612yes—
1763C2×C4C24×D7311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1461no—
1769C8—1461no—
1770C8—1461no—
1771C8—1461no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—22no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—82no—
1787C22—84no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—5842no—
1795C22—5844no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22—1461no—
1800C22—1461no—
1801C22—1461no—
1802C22#1798922712yes—
1803C22C22×D4×D7311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—2921no—
1813C4—2921no—
1814C4—2921no—
1815C4—2921no—
1816C4—2921no—
1817C4—2921no—
1818C4—732no—
1819C4—1461no—
1820C4—1461no—
1821C4—1461no—
1822C4—1461no—
1823C4—1461no—
1824C4#1798922712yes—
1825C4C22×#1192402811yescharacteristic
1826C4C2×#1455663611yescharacteristic
1827C2—22no—
1828C2—41no—
1829C2—41no—
1830C2—42no—
1831C2—81no—
1832C2—2921no—
1833C2—2921no—
1834C2—5841no—
1835C2—5841no—
1836C2C2×#1798922711yescharacteristic
1837C2#575×D7311yescharacteristic
1838C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2896C2
socleC22×C73C23×D4
hypercenter#2896D73
hypocenterC73#61154
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #2896

Complements

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

NH ≅ G/Ntype
1. #22623485C2semidirect
2. #41×C22⋊D73C2semidirect
3. #22622265C2semidirect
4. #22622254C2semidirect
5. #22622243C2semidirect
6. #22622232C2semidirect
7. #22622221C2semidirect
8. #22622210C2semidirect
9. #22622200C2semidirect
10. #22622195C2semidirect
11. #22622185C2semidirect
12. #22622180C2semidirect
13. #22622169C2semidirect
14. #22622158C2semidirect
15. #22622148C2semidirect
16. #22622143C2semidirect
17. #22622133C2semidirect
18. #22622128C2semidirect
19. #22620251C2semidirect
20. #22619844C2semidirect
21. #22619842C2semidirect
22. #22619715C2semidirect
23. #22619540C2semidirect
24. #22619539C2semidirect
25. #22619384C2semidirect
26. #22619151C2semidirect
27. #22619149C2semidirect
28. #22618699C2semidirect
29. C2×#17988663C2semidirect
30. #22618446C2semidirect
31. C73×#2896C2semidirect
33. C2×#14556613C22semidirect
35. C2×#14556611C22semidirect
36. C22×#11924011C22semidirect
39. #17989292C22semidirect
40. #17989285C22semidirect
41. #17989281C22semidirect
42. #17989276C22semidirect
43. #17989272C22semidirect
51. #17989238C22semidirect
61. #17989140C22semidirect
67. #17989099C22semidirect
70. #17989098C22semidirect
75. #17989055C22semidirect
78. #117×D73C22semidirect
79. #17988943C22semidirect
80. #17988943C22semidirect
81. #17988940C22semidirect
82. #17988940C22semidirect
83. #17988936C22semidirect
84. #17988936C22semidirect
85. #17988932C22semidirect
86. #17988932C22semidirect
87. #17988928C22semidirect
88. #17988928C22semidirect
89. #17988927C22semidirect
90. #17988926C22semidirect
91. #17988922C22semidirect
92. #17988921C22semidirect
93. #17988917C22semidirect
94. #17988916C22semidirect
95. #17988911C22semidirect
96. #17988911C22semidirect
97. #17988910C22semidirect
98. #17988909C22semidirect
99. #17988905C22semidirect
100. #17988904C22semidirect
101. #17988900C22semidirect
102. #17988899C22semidirect
103. #17988896C22semidirect
104. #17988892C22semidirect
105. #17988889C22semidirect
106. #17988885C22semidirect
107. #17988880C22semidirect
108. #17988875C22semidirect
109. #17988870C22semidirect
110. #17988865C22semidirect
111. #17988845C22semidirect
112. #17988845C22semidirect
113. #17988844C22semidirect
114. #17988844C22semidirect
115. #17988840C22semidirect
116. #17988840C22semidirect
117. #17988839C22semidirect
118. #17988839C22semidirect
119. #17988836C22semidirect
120. #17988836C22semidirect
121. #17988833C22semidirect
122. #17988833C22semidirect
123. #17988833C22semidirect
124. #17988833C22semidirect
125. #17988832C22semidirect
126. #17988832C22semidirect
127. #17988812C22semidirect
128. #17988808C22semidirect
129. #17988805C22semidirect
130. #17988801C22semidirect
131. #17988796C22semidirect
132. #17988791C22semidirect
133. #17988786C22semidirect
134. #17988781C22semidirect
135. #17988752C22semidirect
136. #17988750C22semidirect
137. #17988749C22semidirect
138. #17988749C22semidirect
139. #17988744C22semidirect
140. #17988743C22semidirect
141. #17988739C22semidirect
142. #17988738C22semidirect
143. #17988735C22semidirect
144. #17988733C22semidirect
145. #17988732C22semidirect
146. #17988732C22semidirect
147. #17988727C22semidirect
148. #17988726C22semidirect
149. #17988722C22semidirect
150. #17988721C22semidirect
151. #17988679C22semidirect
152. #17988679C22semidirect
153. #17988678C22semidirect
154. #17988678C22semidirect
155. #17988672C22semidirect
156. #17988672C22semidirect
157. #17988667C22semidirect
158. #17988667C22semidirect
161. #17988663C22semidirect
162. #17988663C22semidirect
163. #17988663C22semidirect
164. #17988663C22semidirect
165. #17988663C22semidirect
166. #17988663C22semidirect
167. #17988625C22semidirect
168. #17988623C22semidirect
169. #17988623C22semidirect
170. C2×#14556520C22semidirect
171. #17988594C22semidirect
172. #17988594C22semidirect
173. #17988590C22semidirect
174. #17988590C22semidirect
175. #17988587C22semidirect
176. #17988587C22semidirect
177. #17988585C22semidirect
178. #17988585C22semidirect
179. #17988584C22semidirect
180. #17988584C22semidirect
182. #17988583C22semidirect
183. #17988581C22semidirect
184. #17988581C22semidirect
185. C2×C22⋊#10596831C22semidirect
186. C2×#14556503C22semidirect
187. C2×C8×Dic73C22semidirect
189. C22×M16×C73C22semidirect
190. C2×#117×C73C22semidirect
191. #419×C73C22semidirect
192. #419×C73C22semidirect
193. #418×C73C22semidirect
194. #418×C73C22semidirect
195. #417×C73C22semidirect
196. #417×C73C22semidirect
197. #417×C73C22semidirect
198. #417×C73C22semidirect
201. #416×C73C22semidirect
202. #416×C73C22semidirect
665. #41×C73#41semidirect
950. #2896D73semidirect
951. C73#61154semidirect
958. C22×M16C2×D73semidirect
1001. C2×#117C2×D73semidirect
1096. #419C2×D73semidirect
1097. #419C2×D73semidirect
1100. #418C2×D73semidirect
1101. #418C2×D73semidirect
1106. #417C2×D73semidirect
1107. #417C2×D73semidirect
1108. #417C2×D73semidirect
1109. #417C2×D73semidirect
1118. #416C2×D73semidirect
1119. #416C2×D73semidirect
1431. #41#11924028semidirect

Maximal subgroups

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

subgroupindex
#226234852
#41×C22⋊D732
#226222652
#226222542
#226222432
#226222322
#226222212
#226222102
#226222002
#226221952
#226221852
#226221802
#226221692
#226221582
#226221482
#226221432
#226221332
#226221282
#226202512
#226198442
#226198422
#226197152
#226195402
#226195392
#226193842
#226191512
#226191492
#226186992
C2×#179886632
#226184462
C73×#28962
#6115473